GRM: Groups of Repeated Measurements
In andresfpc/AMUN: Analisis Multivariado Universidad Nacional de Colombia (AMUN)

Description Usage Arguments Value Author(s) References Examples

Most of the time data collated in repeated measurements consists of groups of repetition of the same response at different times under varying experimental conditions. It tests the equal mean response by using the T square of Hotelling and uses simultaneous test and confidence intervals. The multinormal model of 2p variables is assumed.

1	GRM(x1, x2, N, S11, S22, S12)

`x1`	a data array with the measurement of the individuals with condition 1
`x2`	a data array with the measurement of the individuals with condition 2
`N`	total number of individuals
`S11`	a positive define matrix which contains the variances and covariances of the condition 1 group
`S22`	a positive define matrix which contains the variances and covariances of the condition 2 group
`S12`	a positive define matrix in the off-diagonal block of the covariance matrix partitioned

`FStatistic`	the value of the computed F statistic
`pValue`	the p value for the computed F statistic
`T2`	the value of the T square of Hotelling

Jesus Gonzalez <jmgonzalezf@unal.edu.co>, Andres Palacios <anfpalacioscl@unal.edu.co>, Campo Elias Pardo <cepardot@unal.edu.co>

Morrison, D. F. (2005), Multivariate statistical methods, Series in Probabilty and Statistics, 4 edn, McGraw-Hill, New York

x1 <- matrix(c(100.48, 100.22, 105.33, 103.43,
               94.9, 97.28, 97.25, 97.83,
               94.54, 96.86, 95.39, 97.15,
               97.46, 100.24, 98.94, 101.77), nrow = 4, byrow = TRUE)
x2 <- matrix(c(100.48, 100.22, 105.33, 103.43,
               88.29, 93.13, 92.28, 93.43,
               88.19, 90.13, 92.4, 94.89,
               97.46, 100.24, 98.94, 101.77), nrow = 4, byrow = TRUE)

S11 <- matrix(c(49.79, 62.16, 26.06, 10.74,
               62.16, 126.98, 71.15, 34.65,
               26.06, 71.15, 62.47, 37.39,
               10.74, 34.65, 37.39, 36.3), nrow = 4, byrow = TRUE)

S22 <- matrix(c(31.84, 14.47, 9.63, 14.08,
               14.47, 20.7, 5.27, 1.55,
               9.63, 5.27, 13.6, 10.52,
               14.08, 1.55, 10.52, 21.9), nrow = 4, byrow = TRUE)

S12 <- matrix(c(17.92, 11.39, 12.78, 14.33,
               9.03, 21.20, 12.81, 4.32,
               -11.05, 15.46, 1.58, -11.08,
               -2.03, 17.12, -2.52, -10.25), nrow = 4, byrow = TRUE)

N <- 9

GRM(x1 = x1, x2 = x2, S11 = S11, S22 = S22, S12 = S12, N = N)