3948

Reza Modarres

خبرنامه انجمن آمار ايران (JIRSS)

تهران :انجمن آمار ايران

2021

20

1

197-218

Elliptical Model , Sphericity , Homogeneity , Total Variance

We study the blocks of interpoint distances, their distributions, correlations, independence and the homogeneity of their total variances. We discuss the exact and asymptotic distribution of the interpoint distances and their average under three models and provide connections between the correlation of interpoint distances with their vector correlation and test of sphericity. We discuss testing independence of the blocks based on the correlation of block interpoint distances. A homogeneity test of the total variances in each block and a simultaneous plot to visualize their relative ordering are presented.