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. Author manuscript; available in PMC: 2016 Nov 4.
Published in final edited form as: J Stat Theory Appl. 2009;8(3):325–352.

Table 11.

One-to-one transformations for three multivariate test statistics.

Name, (z) Transformation, 𝒯 (z)
Wilks’ Lambda (W) 1 − 1W1g
Pillai-Bartlett Trace (B) B/s
Hotelling-Lawley Trace (L) (L/s) (1 + L/s)−1