Order-restricted tests for stratified comparisons of binomial proportions
Related Experiment Video
Updated: Nov 4, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Abstract:
The data set presented relates a binomial response to ordered levels of an explanatory variable, representing doses of a drug, with data collected at several centers. A study goal is to test independence of the response and the ordinal factor, assuming under the alternative only that the binomial parameter is a monotonically increasing function of the ordinal predictor. We present two likelihood-ratio tests that are sensitive to order-restricted alternatives. Simulating the exact distributions of the test statistics yields nearly exact P-values. We also discuss related analyses for comparing two groups on an ordinal response, and we propose a test that is sensitive to a stochastic ordering alternative.
Related Concept Videos
Testing a Claim about Population Proportion
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
Bonferroni Test
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
Test for Homogeneity
Behrens–Fisher Test
This test is...
Friedman Two-way Analysis of Variance by Ranks
The Mantel-Cox Log-Rank Test

