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Investigating Mokken scalability of dichotomous items by means of ordinal latent class analysis
Author(s) -
Croon M. A.
Publication year - 1991
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1991.tb00964.x
Subject(s) - latent class model , ordinal data , class (philosophy) , set (abstract data type) , statistics , computer science , adaptation (eye) , scalability , ordinal scale , item response theory , scale (ratio) , econometrics , mathematics , data set , data mining , artificial intelligence , psychology , psychometrics , physics , quantum mechanics , database , neuroscience , programming language
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.