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HeterFunctionalData

Test of No Main and/or Interaction Effects in Functional Data

v0.1.0 · Aug 20, 2020 · GPL-2

Description

Distribution free heteroscedastic tests for functional data. The following tests are included in this package: test of no main treatment or contrast effect and no simple treatment effect given in Wang, Higgins, and Blasi (2010) <doi:10.1016/j.spl.2009.11.016>, no main time effect, and no interaction effect based on original observations given in Wang and Akritas (2010a) <doi:10.1080/10485250903171621> and tests based on ranks given in Wang and Akritas (2010b) <doi:10.1016/j.jmva.2010.03.012>.

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Check details (19 non-OK)
NOTE r-devel-linux-x86_64-debian-clang

CRAN incoming feasibility

Maintainer: ‘Haiyan Wang <hwang@ksu.edu>’

No Authors@R field in DESCRIPTION.
Please add one, modifying
  Authors@R: c(person(given = "Haiyan",
                      family = "Wang",
                      role = c("aut", "cre"),
                      email = "hwang@ksu.edu"),
               person(given = "Mickael",
                      family = "Akritas",
                      role = "aut"),
               person(given = "James",
                      family = "Higgins",
                      role = "aut"),
               person(given = "Dale",
                      family = "Blasi",
                      role = "aut"))
as necessary.
NOTE r-devel-linux-x86_64-debian-clang

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-devel-linux-x86_64-debian-gcc

CRAN incoming feasibility

Maintainer: ‘Haiyan Wang <hwang@ksu.edu>’

No Authors@R field in DESCRIPTION.
Please add one, modifying
  Authors@R: c(person(given = "Haiyan",
                      family = "Wang",
                      role = c("aut", "cre"),
                      email = "hwang@ksu.edu"),
               person(given = "Mickael",
                      family = "Akritas",
                      role = "aut"),
               person(given = "James",
                      family = "Higgins",
                      role = "aut"),
               person(given = "Dale",
                      family = "Blasi",
                      role = "aut"))
as necessary.
NOTE r-devel-linux-x86_64-debian-gcc

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-devel-linux-x86_64-fedora-clang

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-devel-linux-x86_64-fedora-gcc

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-devel-macos-arm64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-devel-windows-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-oldrel-macos-arm64

LazyData

  'LazyData' is specified without a 'data' directory
NOTE r-oldrel-macos-arm64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-oldrel-macos-x86_64

LazyData

  'LazyData' is specified without a 'data' directory
NOTE r-oldrel-macos-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-oldrel-windows-x86_64

LazyData

  'LazyData' is specified without a 'data' directory
NOTE r-oldrel-windows-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-patched-linux-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-release-linux-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-release-macos-arm64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-release-macos-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^
NOTE r-release-windows-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                       ^
checkRd: (-1) eu.Rd:11: Lost braces; missing escapes or markup?
    11 | and the last column gives the observation $x_{ijk}$.
       |                                              ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                        ^
checkRd: (-1) eu.Rd:12: Lost braces; missing escapes or markup?
    12 | For given i and j,  $x_{ijk}, k=1, ..., n_{ij}$ are assumed to be i.i.d. from the same distribution.}
       |                                           ^
checkRd: (-1) fun.sigijj12.Rd:5: Lost braces; missing escapes or markup?
     5 | \title{Unbiased estimate of  $sigma_{ijj1}^2$}
       |                                     ^
checkRd: (-1) fun.sigijj12.Rd:20: Lost braces; missing escapes or markup?
    20 | This function calculatess an unbiased estimate of  $sigma_{ijj1}^2$ using the u-statisitic of vectors
       |                                                           ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                      ^
checkRd: (-1) fun.sigijj12.Rd:21: Lost braces; missing escapes or markup?
    21 | $x=(x_1, x_2, ..., x_{ni})$ and  $y=(y_1, y_2, ..., y_{ni})$,
       |                                                       ^
checkRd: (-1) fun.sigijj12.Rd:22: Lost braces; missing escapes or markup?
    22 |  where $X_j$ and $Y_j$ are correlated, but $X_j$ and $Y_{j1}$ are independent if $j ne j1$.
       |                                                         ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |            ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                      ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                             ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                       ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                              ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                        ^
checkRd: (-1) fun.sigijj12.Rd:23: Lost braces; missing escapes or markup?
    23 | Note: $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})(y_{k1}-y_{k2)}) (x_{k3}-x_{k4)}) (y_{k3}-y_{k4)})$ is an
       |                                                                                               ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                   ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                            ^
checkRd: (-1) fun.sigijj12.Rd:24: Lost braces; missing escapes or markup?
    24 | unbiased est. of  $4*ni*(ni-1)*(ni-2)*(ni-3) [E(X_{ijk}-mu_{ij} u_{ij1k}) ]^2$.
       |                                                                   ^
checkRd: (-1) fun.sigijj12.Rd:16: Lost braces; missing escapes or markup?
    16 |       The sigmaijj12 variable gives an unbiased estimate of $sigma_{ijj1}^2$.
       |                                                                    ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                ^
checkRd: (-1) fun.sigijj12.Rd:17: Lost braces; missing escapes or markup?
    17 |       The ssijj1 variable gives an unbiased estimate of $sigma_{ijj} sigma_{ij_1j_1}$.
       |                                                                            ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                      ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                       ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                   ^
checkRd: (-1) sigma4.Rd:17: Lost braces; missing escapes or markup?
    17 | the U-statistic $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
       |                                                                          ^

Check History

NOTE 0 OK · 14 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE Mar 9, 2026
NOTE r-devel-linux-x86_64-debian-clang

CRAN incoming feasibility

Maintainer: ‘Haiyan Wang <hwang@ksu.edu>’

No Authors@R field in DESCRIPTION.
Please add one, modifying
  Authors@R: c(person(given = "Haiyan",
                      family = "Wang",
                      role = c("aut", "cre"),
                      email = "hwang@ksu.edu"),
               person(given = "Mickael",
                      family = "Akritas",
                      role = "aut"),
               person(given = "James",
                      family = "Higgins",
                      
NOTE r-devel-linux-x86_64-debian-gcc

CRAN incoming feasibility

Maintainer: ‘Haiyan Wang <hwang@ksu.edu>’

No Authors@R field in DESCRIPTION.
Please add one, modifying
  Authors@R: c(person(given = "Haiyan",
                      family = "Wang",
                      role = c("aut", "cre"),
                      email = "hwang@ksu.edu"),
               person(given = "Mickael",
                      family = "Akritas",
                      role = "aut"),
               person(given = "James",
                      family = "Higgins",
                      
NOTE r-devel-linux-x86_64-fedora-clang

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-devel-linux-x86_64-fedora-gcc

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-devel-macos-arm64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-devel-windows-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-patched-linux-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-release-linux-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-release-macos-arm64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-release-macos-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-release-windows-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-oldrel-macos-arm64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-oldrel-macos-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:
NOTE r-oldrel-windows-x86_64

Rd files

checkRd: (-1) eu.Rd:24: Lost braces; missing escapes or markup?
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                          ^
checkRd: (-1) eu.Rd:24: Lost braces
    24 | This function calcualtes the residual $x_{ijk}-bar{x}_{ij.}$ for the kth replication from the ith group at jth time point.
       |                                                   ^
checkRd: (-1) eu.Rd:24:

Version History

new 0.1.0 Mar 10, 2026