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. Author manuscript; available in PMC: 2014 Jan 6.
Published in final edited form as: J Stat Softw. 2013 Sep;54(10):i10. doi: 10.18637/jss.v054.i10

Table 5.

Degrees of freedom for central and noncentral F distributions.

Test (m) νn0 (m) νd0 (m) νna (m) νda (m)
REP, uncorrected ab bve abεn bveεd
REP, GG abE (ε̂) bveE (ε̂) abεn bveεd
REP, HF abE (ε̃) bveE (ε̃) abεn bveεd
REP, Box a ve abεn bveεd
HLT ab g1 (ve, a, b) ab g1 (ve, a, b)
PB abg4 (ve, a, b) g2 (ve, a, b) abg4 (ve, a, b) g2 (ve, a, b)
W ab g3 (ve, a, b) ab g3 (ve, a, b)