HeterFunctionalData
Test of No Main and/or Interaction Effects in Functional Data
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)
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.
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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.
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
LazyData
'LazyData' is specified without a 'data' directory
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
LazyData
'LazyData' is specified without a 'data' directory
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
LazyData
'LazyData' is specified without a 'data' directory
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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 $sum_{k1 ne k2 ne k3 ne k4} (x_{k1}-x_{k2)})^2 (x_{k3}-x_{k4)})^2$.
| ^
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
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",
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",
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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:
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: