ACSWR (version 1.0)

mfp: Psychological Tests for Males and Females

Description

A psychological study consisting of four tests was conducted on males and females group and the results were noted. Since the four tests are correlated and each one is noted for all the individuals, one is interested to know if the mean vector of the test scores is same across the gender group.

Usage

data(mfp)

Format

A data frame with 32 observations on the following 8 variables.

M_y1

pictorial inconsistencies for males

M_y2

paper form board test for males

M_y3

tool recognition test for males

M_y4

vocabulary test for males

F_y1

pictorial inconsistencies for females

F_y2

paper form board test for females

F_y3

tool recognition test for females

F_y4

vocabulary test for females

Examples

data(mfp)
males <- mfp[,1:4]; females <- mfp[,5:8]
nm <- nrow(males);nf <- nrow(females)
p <- 4; k <- 2
vm <- nm-1; vf <- nf-1
meanm <- colMeans(males); meanf <- colMeans(females)
sigmam <- var(males); sigmaf <- var(females)
sigmapl <- (1/(nm+nf-2))*((nm-1)*sigmam+(nf-1)*sigmaf)
ln_M <- .5*(vm*log(det(sigmam))+vf*log(det(sigmaf))) -.5*(vm+vf)*log(det(sigmapl))
exact_test <- -2*ln_M # the Exact Test
exact_test