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. Author manuscript; available in PMC: 2019 Nov 27.
Published in final edited form as: J Biopharm Stat. 2015;25(4):812–829. doi: 10.1080/10543406.2014.920858

Table 6.

Power (percent) for detecting a treatment effect with a potential period effect based on 4000 simulations in a two-arm, two-treatment crossover study, by the standard deviation of the values after treatment (σTrt), and the period effect (mean μP, standard deviation σP). Results are for at least 99% of the simulations, except as indicated.

35/arm, σTrt = 1 50/arm, σTrt = 1.4
Period effect: μP (σ P) 0.0 (0.0) −0.3 (0.3) −0.3 (0.1) 0.0 (0.0) −0.3 (0.3) −0.3 (0.1)
Nonparametric analyses
Friedman test (NQ only) 93.1 60.7 63.2 72.7 21.6 21.8
Friedman test (NQ and ND) 94.5 68.1 70.3 79.1 33.2 34.2
Mixed models using follow-up data only
Equal variances 98.4 76.2 78.5 81.2 23.1 22.7
Unequal variances 96.6 62.1 65.1 94.4a 54.7a 58.0b
Mixed models using both baseline and follow-up data
Equal variances 84.8 77.5 80.9 56.2 42.4 45.0
Unequal variances 83.5 74.7 78.0 74.1 62.0 65.3

Assumptions: treatment reduces the underlying mean by 0.5 from a baseline mean of 2.5, the standard deviation of the untreated mean is 1, Type I error is 0.05, quantification limit is log10(80) = 1.90.

NQ: non-quantifiable; ND: not detectable.

NQ only : NQ and ND results were combined.

a

Results for 91.5% to 98.5% of all simulations

b

Results for 89.3% of all simulations.