Recent zbMATH articles in MSC 62C99 https://www.zbmath.org/atom/cc/62C99 2021-07-10T17:08:46.445117Z Werkzeug Nonparametric predictive inference for ordinal data https://www.zbmath.org/1462.62293 2021-07-10T17:08:46.445117Z "Coolen, F. P. A." https://www.zbmath.org/authors/?q=ai:coolen.frank-p-a "Coolen-Schrijner, P." https://www.zbmath.org/authors/?q=ai:coolen-schrijner.pauline "Coolen-Maturi, T." https://www.zbmath.org/authors/?q=ai:coolen-maturi.tahani "Elkhafifi, F. F." https://www.zbmath.org/authors/?q=ai:elkhafifi.faiza-f Summary: Nonparametric predictive inference (NPI) is a powerful frequentist statistical framework based only on an exchangeability assumption for future and past observations, made possible by the use of lower and upper probabilities. In this article, NPI is presented for ordinal data, which are categorical data with an ordering of the categories. The method uses a latent variable representation of the observations and categories on the real line. Lower and upper probabilities for events involving the next observation are presented, and briefly compared to NPI for non ordered categorical data. As application, the comparison of multiple groups of ordinal data is presented. Sample size calculation for comparing two normal random samples using equilibrium priors https://www.zbmath.org/1462.62484 2021-07-10T17:08:46.445117Z "Longford, Nicholas T." https://www.zbmath.org/authors/?q=ai:longford.nicholas-tibor Summary: A method of sample size calculation for deciding whether the difference of the expectations of two normal random samples is positive or negative is introduced. Prior information is used in the form of a set of plausible prior distributions and plausible loss functions for the two kinds of incorrect decisions. The sample size is set so that the prior-related probability of concluding the analysis with an impasse is smaller than a given threshold or by minimizing the total of the cost of the planned experiment and the expected losses due to an incorrect decision or an inconclusive outcome of the analysis.