Modeling the reliability of the Freiburg monosyllabic speech test in quiet with the Poisson binomial distribution. Does the Freiburg monosyllabic speech test contain 29 words per list?

Abstract

Every speech test can be modeled as a Bernoulli experiment; this also applies to the Freiburg monosyllabic speech test. The model enables a quantitative calculation of the reliability based on the binomial distribution. Generally, the same probability is assumed for the recognition of each test word. Since the recognition of words within test lists of the Freiburg monosyllabic speech test differs, modeling with the Poisson binomial distribution is reasonable, and results in a narrower confidence interval than the simple binomial distribution. The variance of the Poisson binomial distribution for test lists of the Freiburg monosyllabic speech test with 20 words can be approximated using the variance of the simple binomial distribution based on test lists with 29 equally-recognizable words