TABLE 1.

Mahalanobis Distances

No. of Indicators	r = 0	r = .2	r = .4	r = .6	r = .8
d = 0.6
4	1.20	0.95	0.81	0.72	0.65
6	1.47	1.04	0.85	0.73	0.66
8	1.70	1.10	0.87	0.74	0.66
10	1.90	1.13	0.88	0.75	0.66
12	2.08	1.16	0.89	0.75	0.66
d = 1.2
4	2.40	1.90	1.62	1.43	1.30
6	2.94	2.08	1.70	1.47	1.31
8	3.39	2.19	1.74	1.49	1.32
10	3.79	2.27	1.77	1.50	1.33
12	4.16	2.32	1.79	1.51	1.33
d = 1.8
4	3.60	2.85	2.43	2.15	1.95
6	4.41	3.12	2.55	2.20	1.97
8	5.09	3.29	2.61	2.23	1.98
10	5.69	3.40	2.65	2.25	1.99
12	6.24	3.49	2.68	2.26	1.99

Note. Mahalanobis distances (MD) at various levels of Cohen’s distance d between groups for all individual indicators. Note that the univariate d is constant across indicators but the MD increases as the number of indicators increases. When the number of indicators is 1, MD = d. As the correlation among all indicators approaches 1, MD approaches d.