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

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

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)535-544
Number of pages10
JournalShinrigaku Kenkyu
Volume86
Issue number6
Publication statusPublished - 2016 Feb 1
Externally publishedYes

Fingerprint

Statistical Factor Analysis
Energy Drinks
Psychology
Research

ASJC Scopus subject areas

  • Medicine(all)
  • Psychology(all)

Cite this

A factor analysis method for contingency table data with unlimited multiple choice questions. / Toyoda, Hideki; Haiden, Reina; Kubo, Saori; Ikehara, Kazuya; Isobe, Yurie.

In: Shinrigaku Kenkyu, Vol. 86, No. 6, 01.02.2016, p. 535-544.

Research output: Contribution to journalArticle

Toyoda, H, Haiden, R, Kubo, S, Ikehara, K & Isobe, Y 2016, 'A factor analysis method for contingency table data with unlimited multiple choice questions', Shinrigaku Kenkyu, vol. 86, no. 6, pp. 535-544.
Toyoda, Hideki ; Haiden, Reina ; Kubo, Saori ; Ikehara, Kazuya ; Isobe, Yurie. / A factor analysis method for contingency table data with unlimited multiple choice questions. In: Shinrigaku Kenkyu. 2016 ; Vol. 86, No. 6. pp. 535-544.
@article{ccdf28fb428b4477b9e7d98d0c732981,
title = "A factor analysis method for contingency table data with unlimited multiple choice questions",
abstract = "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.",
author = "Hideki Toyoda and Reina Haiden and Saori Kubo and Kazuya Ikehara and Yurie Isobe",
year = "2016",
month = "2",
day = "1",
language = "English",
volume = "86",
pages = "535--544",
journal = "Shinrigaku Kenkyu",
issn = "0021-5236",
publisher = "Japanese Psychological Association",
number = "6",

}

TY - JOUR

T1 - A factor analysis method for contingency table data with unlimited multiple choice questions

AU - Toyoda, Hideki

AU - Haiden, Reina

AU - Kubo, Saori

AU - Ikehara, Kazuya

AU - Isobe, Yurie

PY - 2016/2/1

Y1 - 2016/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84965091327&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84965091327&partnerID=8YFLogxK

M3 - Article

VL - 86

SP - 535

EP - 544

JO - Shinrigaku Kenkyu

JF - Shinrigaku Kenkyu

SN - 0021-5236

IS - 6

ER -