Estimating the Real Parameter in a Two-Sample Proportional Odds Model

Computing estimates in the proportional odds model

In this paper we present an algorithm for maximum likelihood estimation in the proportional odds model. The algorithm is an example of optimization transfer, also known as the method of iterative majorization. We discuss optimization transfer, present the proportional odds algorithm, and give a means for accelerating the convergence of the algorithm. The algorithm is stable and guaranteed to co...

A Proportional Odds Model of Particle Pollution

A linear regression model of particle pollution and an ordered logistic regression model of the relevant index were selected for observations in the US city of Los Angeles, California. Models were used to forecast Air Quality Index (AQI) from a sample, and were compared and contrasted. Methods are comparable overall but markedly different in their powers to predict certain categories. Linear re...

Checking Proportional Rates in the Two-Sample Transformation Model

Jǐŕı Anděl, Sergej Čelikovský, Marie Demlová, Jan Flusser, Petr Hájek, Vladimı́r Havlena, Didier Henrion, Yiguang Hong, Zdeněk Hurák, Martin Janžura, Jan Ježek, George Klir, Ivan Kramosil, Tomáš Kroupa, Petr Lachout, Friedrich Liese, Jean-Jacques Loiseau, Frantǐsek Matúš, Radko Mesiar, Karol Mikula, Jǐŕı Outrata, Jan Seidler, Karel Sladký Jan Štecha, Olga Štěpánková, Frantǐsek Turnovec, Igor Vaj...

Model Diagnostics for Proportional and Partial Proportional Odds Models

Ordinal regression modelling between proportional odds and non-proportional odds