A latent normal distribution model for analysing ordinal responses with applications in meta-analysis

Statistics in Medicine
Wai-Yin Poon

Abstract

We consider the comparison of two treatments (or a treatment and a control/placebo) with responses that are classified into ordinal categories. By operating on the assumption that the responses are manifestations of some underlying continuous variables and that the definitions of the categories for the treatment group and the placebo group are the same in the same clinical test centre, we develop a model to examine the possible treatment effects. These treatment effects can be identified as location effect or dispersion effect. The method can be generalized to analyse clinical test results coming from different centres, where each centre may have its own standard in classifying responses. The method is technically undemanding and can be implemented in a very simple and straightforward way by using easily accessible software that can be downloaded at no cost. Real data sets are analysed for illustration.

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Citations

Jun 23, 2010·BMC Medical Research Methodology·Solange Youdom WhegangJean-Christophe Thalabard
Nov 12, 2009·BMC Medical Research Methodology·Taye H HamzaTheo Stijnen
Nov 30, 2013·Psychometrika·Tong-Yu LuSiu Hung Cheung
Feb 18, 2016·Journal of Biopharmaceutical Statistics·Ping YangWai-Yin Poon
Aug 21, 2015·Statistics in Medicine·Tong-Yu LuSiu Hung Cheung
May 17, 2008·The British Journal of Mathematical and Statistical Psychology·Choi-Fan Yiu, Wai-Yin Poon
Jun 26, 2007·Statistics in Medicine·Alexander J Sutton, Julian P T Higgins
Feb 7, 2013·Statistics in Medicine·Yueqiong LinTong-Yu Lu
Dec 12, 2012·Statistics in Medicine·Ana W Capuano, Jeffrey D Dawson
Jan 24, 2012·Statistical Methods in Medical Research·Tong-Yu LuSiu Hung Cheung
Oct 21, 2017·Research Synthesis Methods·Annika HoyerOliver Kuss
Mar 8, 2019·Statistical Methods in Medical Research·Tong-Yu LuSiu Hung Cheung
Jan 19, 2020·Research Synthesis Methods·Annika Hoyer, Oliver Kuss
Jan 22, 2021·Biometrical Journal. Biometrische Zeitschrift·Antonia ZapfGerta Rücker

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