Journal ArticleDOI
A note on asymptotic efficiency of a regression coefficient parameter under ordinal logistic regression model
TLDR
In this article, the authors compare power curves between 3-and 7-category ordinal logistic regression models in terms of the probability of detecting the treatment effect, assuming a symmetric distribution or skewed distributions for the placebo group.Abstract:
For clinical trials on neurodegenerative diseases such as Parkinson's or Alzheimer's, the distributions of psychometric measures for both placebo and treatment groups are generally skewed because of the characteristics of the diseases. Through an analytical, but computationally intensive, algorithm, we specifically compare power curves between 3- and 7-category ordinal logistic regression models in terms of the probability of detecting the treatment effect, assuming a symmetric distribution or skewed distributions for the placebo group. The proportional odds assumption under the ordinal logistic regression model plays an important role in these comparisons. The results indicate that there is no significant difference in the power curves between 3-category and 7-category response models where a symmetric distribution is assumed for the placebo group. However, when the skewness becomes more extreme for the placebo group, the loss of power can be substantial.read more
Citations
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Analysis of an ordinal endpoint for use in evaluating treatments for severe influenza requiring hospitalization
Ross L. Peterson,David M. Vock,John H. Powers,Sean Emery,Eduardo Fernandez Cruz,Sally Hunsberger,Mamta K. Jain,Sarah Pett,Sarah Pett,James D. Neaton +9 more
TL;DR: Deviations from proportional odds reduced power at most from 80% to 77% given the same overall treatment effect as specified in the FLU-IVIG protocol.
Journal ArticleDOI
The Analysis of the Effects of Variables Used in the Formation of PISA Scores on Job Index Values for OECD Member States.
TL;DR: In this article, some of the variables used to obtain PISA scores for the year 2015 were identified for the purpose of the examination of qualified education, and that to which extent they influence the job index variable, included in the OECD Better Life index to represent a decent work, was investigated using ordinal logistic regression analysis.
References
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Book
Generalized Linear Models
Peter McCullagh,John A. Nelder +1 more
TL;DR: In this paper, a generalization of the analysis of variance is given for these models using log- likelihoods, illustrated by examples relating to four distributions; the Normal, Binomial (probit analysis, etc.), Poisson (contingency tables), and gamma (variance components).
Journal ArticleDOI
Generalized Linear Models
TL;DR: This is the rst book on generalized linear models written by authors not mostly associated with the biological sciences, and it is thoroughly enjoyable to read.
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Regression Models for Ordinal Data
TL;DR: In this article, a general class of regression models for ordinal data is developed and discussed, which utilize the ordinal nature of the data by describing various modes of stochastic ordering and this eliminates the need for assigning scores or otherwise assuming cardinality instead of ordinality.
Journal ArticleDOI
Estimation of the probability of an event as a function of several independent variables
TL;DR: A recursive approach based on Kalman's work in linear dynamic filtering and prediction is applied, derivable also from the work of Swerling (1959), which provides an example of many other possible uses of recursive techniques in nonlinear estimation and in related areas.
Journal ArticleDOI
Analysis of survival data by the proportional odds model
TL;DR: A model is presented for the analysis of lifetime data in which the rates of mortality for separate groups of patients converge with time, and a non-parametric estimate is given for the survivor function.