Applications and computational strategies for the two-point mixture index of fit

被引:11
作者
Dayton, CM [1 ]
机构
[1] Univ Maryland, Dept Measurement & Stat, Coll Educ, College Pk, MD 20742 USA
关键词
D O I
10.1348/000711003321645304
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Although numerous descriptive measures have been proposed for assessing model fit when analysing frequency tables, the two-point mixture index of fit proposed by Rudas, Clogg, and Lindsay possesses features that make this index especially appealing in many applied research settings. In particular, the index has an intuitive interpretation that does not depend upon the specific nature of the model being assessed and is not sensitive to sample size. Also, the index can be applied when models are fitted to virtually any frequency table. This paper summarizes the underlying theory and addresses issues of estimation for goodness-of-fit tests for one-way or multi-way frequency tables as well as for certain latent variable models. In addition, a new approach for estimating a lower confidence bound for the index is presented.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 21 条
[1]  
[Anonymous], 2000, LATENT GOLD USERS GU
[2]  
[Anonymous], LATENT CLASS SCALING
[3]   LATENT STRUCTURE-ANALYSIS OF A SET OF MULTIDIMENSIONAL CONTINGENCY-TABLES [J].
CLOGG, CC ;
GOODMAN, LA .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1984, 79 (388) :762-771
[4]  
CLOGG CC, 1977, 197709 PENNS STAT U
[5]   A SCALING MODEL WITH RESPONSE ERRORS AND INTRINSICALLY UNSCALABLE RESPONDENTS [J].
DAYTON, CM ;
MACREADY, GB .
PSYCHOMETRIKA, 1980, 45 (03) :343-356
[6]  
DAYTON CM, 1976, PSYCHOMETRIKA, V41, P189
[7]  
Fletcher R., 1981, PRACTICAL METHODS OP
[8]  
GOODMAN LA, 1974, BIOMETRIKA, V61, P215, DOI 10.1093/biomet/61.2.215
[9]   NEW MODEL FOR SCALING RESPONSE PATTERNS - APPLICATION OF QUASI-INDEPENDENCE CONCEPT [J].
GOODMAN, LA .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1975, 70 (352) :755-768