Open AccessChoice model analysis of the “pick any/ n ” type of binary data[Note 1. The work reported in this paper is based on ...]
Author(s) -
Takane Yoshio
Publication year - 1998
Publication title -
japanese psychological research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.392
H-Index - 30
eISSN - 1468-5884
pISSN - 0021-5368
DOI - 10.1111/1468-5884.00072
Subject(s) - expectation–maximization algorithm , binary data , binary number , maximization , maximum likelihood , statistics , type (biology) , mathematics , computer science , estimation , algorithm , mathematical optimization , arithmetic , ecology , biology , management , economics
In the “pick any/ n ” method, subjects are asked to choose any number of items from a list of n items according to some criterion. This kind of data can be analyzed as a special case of either multiple‐choice data or successive categories data where the number of response categories is limited to two. An item response model was proposed for the latter case, which is a combination of an unfolding model and a choice model. The marginal maximum‐likelihood estimation method was developed for parameter estimation to avoid incidental parameters, and an expectation‐maximization algorithm used for numerical optimization. Two examples of analysis are given to illustrate the proposed method, which we call MAXSC.