Table 5.

Statistical power of goodness-of-fit statistics (in %) using empirical distribution to detect violation of the conditional independence hypothesis when applying LCM CI model, CampyLCA study, France, 2016

True model	Pearson statistics	Likelihood ratio statistics	Power divergence statistics
LCM CD	86.6	92.4	91.8
LCM SD	93.4	95.0	95.0

LCM CI, latent class model under conditional independence; LCM CD, latent class model with a residual dependence common to all tests; LCM SD, latent class model with a residual dependence specific to the three immunoenzymatic tests.

Statistical power is defined as the percentage of times the test concludes that observations and predictions significantly differ (at a 5% significance level) when they actually do.