A logit model for bivariate binary responses

Purhadi Purhadi, M. Fathurahman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This article provides a bivariate binary logit model and statistical inference procedures for parameter estimation and hypothesis testing. The bivariate binary logit (BBL) model is an extension of the binary logit model that has two correlated binary responses. The BBL model responses were formed using a 2 × 2 contingency table, which follows a multinomial distribution. The maximum likelihood and Berndt–Hall–Hall–Hausman (BHHH) methods were used to obtain the BBL model. Hypothesis testing of the BBL model contains the simultaneous test and the partial test. The test statistics of the simultaneous test and the partial test were determined using the maximum likelihood ratio test method. The likelihood ratio statistics of the simultaneous test and the partial test were approximately asymptotically chi-square distributed with 3p degrees of freedom. The BBL model was applied to a real dataset, and the BBL model with the single covariate was better than the BBL model with multiple covariates.

Original languageEnglish
Article number326
Pages (from-to)1-18
Number of pages18
JournalSymmetry
Volume13
Issue number2
DOIs
Publication statusPublished - Feb 2021

Keywords

  • BHHH
  • Bivariate binary responses
  • Logit model
  • Maximum likelihood
  • Maximum likelihood ratio test

Fingerprint

Dive into the research topics of 'A logit model for bivariate binary responses'. Together they form a unique fingerprint.

Cite this