# statsmodels.stats.power.FTestPower.power¶

FTestPower.power(effect_size, df_num, df_denom, alpha, ncc=1)[source]

Calculate the power of a F-test.

Parameters: effect_size (float) – standardized effect size, mean divided by the standard deviation. effect size has to be positive. df_num (int or float) – numerator degrees of freedom. df_denom (int or float) – denominator degrees of freedom. alpha (float in interval (0,1)) – significance level, e.g. 0.05, is the probability of a type I error, that is wrong rejections if the Null Hypothesis is true. ncc (int) – degrees of freedom correction for non-centrality parameter. see Notes power – Power of the test, e.g. 0.8, is one minus the probability of a type II error. Power is the probability that the test correctly rejects the Null Hypothesis if the Alternative Hypothesis is true. float

Notes

sample size is given implicitly by df_num

set ncc=0 to match t-test, or f-test in LikelihoodModelResults. ncc=1 matches the non-centrality parameter in R::pwr::pwr.f2.test

ftest_power with ncc=0 should also be correct for f_test in regression models, with df_num and d_denom as defined there. (not verified yet)