cta

Contingency table analysis is performed based on maximum likelihood (ML) fitting of multinomial-Poisson homogeneous (MPH) and homogeneous linear predictor (HLP) models. See Lang (2004) doi:10.1214/aos/1079120140 and Lang (2005) doi:10.1198/016214504000001042 for MPH and HLP models. Objects computed include model goodness-of-fit statistics; likelihood- based (cell- and link-specific) residuals; and cell probability and expected count estimates along with standard errors. This package can also compute test-inversion–e.g. Wald, profile likelihood, score, power-divergence–confidence intervals for contingency table estimands, when table probabilities are potentially subject to equality constraints. For test-inversion intervals, see Lang (2008) doi:10.1002/sim.3391 and Zhu (2020) doi:10.17077/etd.005331.