Mausphercnst
Other hypothesis used with the Mauchly's sphericity test is on the orthonormalized contrasts,
H0: C’SC = s^2I , where C is any full-rank (p-1) x p matrix of orthonormal contrasts.
A is the nonorthonormalized contrasts matrix.
C = GMO(A’) is a (p-1) × p column-orthonormal matrix (by the Gram-Schmidt orthonormalization procedure)
L = q^q|C’SC|/[tr(C’SC)]^q
LL = - (N – 1 – ((2q^2 + q + 2)/(6q)) ln L
= - (N – 1 – ((2q^2 + q + 2)/(6q)) [ln|C’SC| – q ln [tr(C’SC)/q]]
This statistic has an approximate Chi-square distribution with 0.5q(q + 1) – 1 = q(q + 1)/2 – 1 degrees of freedom.
Inputs:
X - multivariate data matrix.
alpha - significance level (default = 0.05).
Output:
Complete table results
Cite As
Antonio Trujillo-Ortiz (2024). Mausphercnst (https://www.mathworks.com/matlabcentral/fileexchange/19648-mausphercnst), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.
Mausphercnst/Mausphercnst/
Version | Published | Release Notes | |
---|---|---|---|
1.0.0.0 | It was added an appropriate format to cite this file. |