Homogeneity score tests with nuisance parameters
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 17 (5) , 1549-1556
- https://doi.org/10.1080/03610928808829697
Abstract
For situations in which a parameter may be estimated from several independent data sets and there are no nuisance parameters, Mather (1935) proposed a homogeneity test based on efficient scores. The homogeneity score test can be extended to the nuisance parameter case using the theory of score, or Lagrange multiplier, tests. A modification of the extended homogeneity score test is presented, wherein a consistent but inefficient estimator of the parameter of interest may be substituted for the maximum likelihood estimator. Use of the modified procedure is illustrated in testing for a common logistic slope parameter in several 2xJ contingency tables.Keywords
This publication has 9 references indexed in Scilit:
- On heterogeneity tests based on efficient scoresBiometrika, 1985
- Theory of Point EstimationPublished by Springer Nature ,1983
- Some Remarks on a Method of Maximum-Likelihood Estimation Proposed by RichardsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1963
- A Method of Maximum-Likelihood EstimationJournal of the Royal Statistical Society Series B: Statistical Methodology, 1961
- Maximum-Likelihood Estimation Procedures and Associated Tests of SignificanceJournal of the Royal Statistical Society Series B: Statistical Methodology, 1960
- Maximum-Likelihood Estimation of Parameters Subject to RestraintsThe Annals of Mathematical Statistics, 1958
- Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimationMathematical Proceedings of the Cambridge Philosophical Society, 1948
- A System of Scoring Linkage Data, with Special Reference to the Pied Factors in MiceThe American Naturalist, 1946
- THE COMBINATION OF DATAAnnals of Eugenics, 1935