A factor analysis method for contingency table data with unlimited multiple choice questions

Hideki Toyoda, Reina Haiden, Saori Kubo, Kazuya Ikehara, Yurie Isobe

研究成果: Article査読

抄録

The purpose of this study is to propose a method of factor analysis for analyzing contingency tables developed from the data of unlimited multiple-choice questions. This method assumes that the element of each cell of the contingency table has a binominal distribution and a factor analysis model is applied to the logit of the selection probability. Scree plot and WAIC are used to decide the number of factors, and the standardized residual, the standardized difference between the sample, and the proportion ratio, is used to select items. The proposed method was applied to real product impression research data on advertised chips and energy drinks. Since the results of the analysis showed that this method could be used in conjunction with conventional factor analysis model, and extracted factors were fully interpretable, and suggests the usefulness of the proposed method in the study of psychology using unlimited multiple-choice questions.

本文言語English
ページ(範囲)535-544
ページ数10
ジャーナルShinrigaku Kenkyu
86
6
DOI
出版ステータスPublished - 2015

ASJC Scopus subject areas

  • Psychology(all)

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