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Item Response Models for Forced-Choice Questionnaires: A Common Framework

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  • Anna Brown

Abstract

In forced-choice questionnaires, respondents have to make choices between two or more items presented at the same time. Several IRT models have been developed to link respondent choices to underlying psychological attributes, including the recent MUPP (Stark et al. in Appl Psychol Meas 29:184–203, 2005 ) and Thurstonian IRT (Brown and Maydeu-Olivares in Educ Psychol Meas 71:460–502, 2011 ) models. In the present article, a common framework is proposed that describes forced-choice models along three axes: (1) the forced-choice format used; (2) the measurement model for the relationships between items and psychological attributes they measure; and (3) the decision model for choice behavior. Using the framework, fundamental properties of forced-choice measurement of individual differences are considered. It is shown that the scale origin for the attributes is generally identified in questionnaires using either unidimensional or multidimensional comparisons. Both dominance and ideal point models can be used to provide accurate forced-choice measurement; and the rules governing accurate person score estimation with these models are remarkably similar. Copyright The Psychometric Society 2016

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  • Anna Brown, 2016. "Item Response Models for Forced-Choice Questionnaires: A Common Framework," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 135-160, March.
  • Handle: RePEc:spr:psycho:v:81:y:2016:i:1:p:135-160
    DOI: 10.1007/s11336-014-9434-9
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    References listed on IDEAS

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    1. Geert Soete & J. Carroll, 1983. "A maximum likelihood method for fitting the wandering vector model," Psychometrika, Springer;The Psychometric Society, vol. 48(4), pages 553-566, December.
    2. Joseph Zinnes & Richard Griggs, 1974. "Probabilistic, multidimensional unfolding analysis," Psychometrika, Springer;The Psychometric Society, vol. 39(3), pages 327-350, September.
    3. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    4. Daniel L. McFadden, 1976. "Quantal Choice Analysis: A Survey," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 363-390, National Bureau of Economic Research, Inc.
    5. Drasgow, Fritz & Chernyshenko, Oleksandr S. & Stark, Stephen, 2010. "75 Years After Likert: Thurstone Was Right!," Industrial and Organizational Psychology, Cambridge University Press, vol. 3(4), pages 465-476, December.
    6. Erling Andersen, 1976. "Paired comparisons with individual differences," Psychometrika, Springer;The Psychometric Society, vol. 41(2), pages 141-157, June.
    7. Joseph Bennett & William Hays, 1960. "Multidimensional unfolding: Determining the dimensionality of ranked preference data," Psychometrika, Springer;The Psychometric Society, vol. 25(1), pages 27-43, March.
    8. Brown, Anna & Maydeu-Olivares, Alberto, 2010. "Issues That Should Not Be Overlooked in the Dominance Versus Ideal Point Controversy," Industrial and Organizational Psychology, Cambridge University Press, vol. 3(4), pages 489-493, December.
    9. Yoshio Takane & Jan Leeuw, 1987. "On the relationship between item response theory and factor analysis of discretized variables," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 393-408, September.
    10. Albert Maydeu-Olivares, 1999. "Thurstonian modeling of ranking data via mean and covariance structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 325-340, September.
    11. Roger Shepard, 1957. "Stimulus and response generalization: A stochastic model relating generalization to distance in psychological space," Psychometrika, Springer;The Psychometric Society, vol. 22(4), pages 325-345, December.
    12. Henry Brady, 1989. "Factor and ideal point analysis for interpersonally incomparable data," Psychometrika, Springer;The Psychometric Society, vol. 54(2), pages 181-202, June.
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    Cited by:

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    2. Paul-Christian Bürkner, 2022. "On the Information Obtainable from Comparative Judgments," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1439-1472, December.
    3. Alwyn Lim & Shawn Pope, 2022. "What drives companies to do good? A “universal” ordering of corporate social responsibility motivations," Corporate Social Responsibility and Environmental Management, John Wiley & Sons, vol. 29(1), pages 233-255, January.
    4. Qian Wu & Monique Vanerum & Anouk Agten & Andrés Christiansen & Frank Vandenabeele & Jean-Michel Rigo & Rianne Janssen, 2021. "Certainty-Based Marking on Multiple-Choice Items: Psychometrics Meets Decision Theory," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 518-543, June.

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