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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 10.

Denominator degrees of freedom for three multivariate test statistics.

Name, (z) Denominator degrees of Freedom, 𝒟 (z)
Wilks’ Lambda (W) g [(Nr) − (ba + 1)/2] − (ab − 2) /2
Pillai-Bartlett Trace (PB) s [(Nr) − b + s]
Hotelling-Lawley Trace (HL) s [(Nr) − b − 1] + 2