1. can you conclude homogeneity of variance- covariance? 2. what statistic is most appropriate of the multivariate results?
1. can you conclude homogeneity of variance- covariance? 2. what statistic is most appropriate of the multivariate results?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. can you conclude homogeneity of variance-
2. what statistic is most appropriate of the multivariate results?
![### Box's Test of Equality of Covariance Matrices
#### Data
- **Box's M:** 22.491
- **F:** 1.060
- **df1 (Degrees of Freedom 1):** 21
- **df2 (Degrees of Freedom 2):** 801321.764
- **Sig. (Significance Value):** .384
#### Explanation
Box's Test assesses the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups. A significance value (Sig.) greater than 0.05 typically indicates that there is no statistically significant difference among the covariance matrices of the groups, implying equality. Here, with a Sig. value of .384, the null hypothesis likely holds, suggesting the matrices are equal across groups.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee710977-90c8-4f84-9cb1-1102aa3efb9b%2Ffabfd4c5-eac9-491e-be71-af5d624b3c76%2Fdtdb5i8_processed.png&w=3840&q=75)
Transcribed Image Text:### Box's Test of Equality of Covariance Matrices
#### Data
- **Box's M:** 22.491
- **F:** 1.060
- **df1 (Degrees of Freedom 1):** 21
- **df2 (Degrees of Freedom 2):** 801321.764
- **Sig. (Significance Value):** .384
#### Explanation
Box's Test assesses the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups. A significance value (Sig.) greater than 0.05 typically indicates that there is no statistically significant difference among the covariance matrices of the groups, implying equality. Here, with a Sig. value of .384, the null hypothesis likely holds, suggesting the matrices are equal across groups.
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