A Note on Calculating the π* Index of Fit for the Analysis of Contingency Tables

Liwen Xi and Bruce G. Lindsay
Additional contact information
Liwen Xi: Pennsylvania State University
Bruce G. Lindsay: Pennsylvania State University

Sociological Methods & Research, 1996, vol. 25, issue 2, 248-259

Abstract: Rudas, Clogg, and Lindsay (1994) proposed a mixture index-of-fit approach for evaluating goodness of fit in the analysis of contingency tables. Clogg, Rudas, and Xi (1995) applied this approach to the analysis of models for mobility tables. The maximum likelihood estimate of the mixture index of fit π * can be obtained by the expectation and maximization (EM) algorithm. The objective of this article is to describe an alternative algorithm, using sequential quadratic programming (SQP). Two major advantages SQP holds over the EM algorithm are the following: (1) The speed of convergence is greatly increased and (2) SQP is more general than the EM algorithm of Rudas et al. and does not require explicit maximum likelihood estimates. The SQP algorithm is available in the MATLAB package; a sample code is provided in the appendix.

Date: 1996
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://journals.sagepub.com/doi/10.1177/0049124196025002005 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:somere:v:25:y:1996:i:2:p:248-259

DOI: 10.1177/0049124196025002005

Access Statistics for this article

More articles in Sociological Methods & Research
Bibliographic data for series maintained by SAGE Publications ().