INVESTIGATING MOKKEN SCALABILITY OF DICHOTOMOUS ITEMS BY MEANS OF ORDINAL LATENT CLASS ANALYSIS

被引:29
作者
CROON, MA
机构
[1] Social Science Department, Tilburg University, Tilburg, 5000 LE
关键词
D O I
10.1111/j.2044-8317.1991.tb00964.x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A method for investigating whether a set of items satisfies the conditions of a 'latent scale' is proposed. It is based on an adaptation of the latent class model in which the requirement of 'double monotony' is translated into systems of inequalities on the item response probabilities. The problem of obtaining the maximum likelihood estimates of the model parameters is discussed. Finally, this method is applied to real data from a large survey.
引用
收藏
页码:315 / 331
页数:17
相关论文
共 23 条
[1]  
Bartholomew D. J., 1987, LATENT VARIABLE MODE
[2]   LATENT CLASS ANALYSIS WITH ORDERED LATENT CLASSES [J].
CROON, M .
BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 1990, 43 :171-192
[3]  
CROON M, 1988, MANY FACES MULTIVARI, P384
[4]   MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38
[5]   AN ALGORITHM FOR ISOTONIC REGRESSION FOR 2 OR MORE INDEPENDENT VARIABLES [J].
DYKSTRA, RL ;
ROBERTSON, T .
ANNALS OF STATISTICS, 1982, 10 (03) :708-716
[6]  
FELLING A, 1987, RELIGION DTSCH SOC D
[7]  
Hays W. L., 1988, STATISTICS
[8]  
HINKLEY DV, 1988, J ROY STAT SOC B MET, V50, P321
[9]   CONDITIONAL ASSOCIATION AND UNIDIMENSIONALITY IN MONOTONE LATENT VARIABLE MODELS [J].
HOLLAND, PW ;
ROSENBAUM, PR .
ANNALS OF STATISTICS, 1986, 14 (04) :1523-1543
[10]  
Lazarsfeld P., 1968, LATENT STRUCTURE ANA