Sphericity

Other hypothesis used with the Mauchly's sphericity test is on the orthonormalized contrasts,H0: Cd-deOaoSC = s^2I , where C is any full-rank (p-1) x p matrix of orthonormal contrasts.A is the nonorthonormalized contrasts matrix.C = GMO(Ad-deOao) is a (p-1) doOCo p column-orthonormal matrix (by... Platforms: Matlab

This m-file deals with repeated measurements at t time points obtained from s groups of subjects or multiple samples. With or without same size. The simplest model is: x_hij = m + g_h +t_j + (gt)_hj + p_i(h) + e_hijwhere: x_hij = response at time j from the ith subject in group h; m = overall... Platforms: Matlab

The Greenhouse-Geisser epsilon value measures by how much the sphericity assumption is violated. Epsilon is then used to adjust for the potential bias in the F statistic. Epsilon can be 1, which means that the sphericity assumption is met perfectly. An epsilon smaller than 1 means that the... Platforms: Matlab

Sphericity is an assumption of repeated measure ANOVA. It means that the variance-covariance structure of the repeated measure ANOVA follows a certain pattern. Sphericity is, in a nutshell, that the variances of the differences between the repeated measurements should be about the same.... Platforms: Matlab

The Huynh-Feldt epsilon its a correction of the Greenhouse-Geisser epsilon.This due that the Greenhouse-Geisser epsilon tends to underestimate epsilon when epsilon is greater than 0.70 (Stevens, 1990). An estimated epsilon = 0.96 may be actually 1. Huynh-Feldt correction is less conservative. The... Platforms: Matlab

One-sample repeated measures is used to analyze the relationship between the independent variable and dependent variable when:(1) the dependent variable is quantitative in nature and is measured on a level that at least approximates interval characteristics, (2) the independent variable is... Platforms: Matlab

Basically, here we are testing if all the p-axis have the same variability or eigenvalues. There are two tests to choose in a menu form such as the Bartlett and Mauchly's sphericity tests.Only needs to input the multivariate data matrix and the significance level (default = 0.05). It outputs the... Platforms: Matlab