Factor Analysis for Binary Data in the Analysis of the Latent Structure of Market Phenomena

Authors

  • Piotr Tarka Uniwersytet Ekonomiczny w Poznaniu, Katedra Badań Rynku i Usług

Keywords:

factor analysis, latent variables, binary data, nominal scale

Abstract

The article describes a number of theoretical and practical issues pertaining to the factor analysis model and its application in the field of marketing research. The first part discusses the dependence of marketing research on the theory of measurement e.g., the course of research development in the sphere of latent events analysis. The next part looks at factorial modeling in research on consumer attitudes and opinions, followed by a discussion of the possibilities for binary data analysis using the latent trait model. Finally, using empirical data, the author presents a one-factor model to measure youth (young consumers) attitudes towards a hedonistic-consumer lifestyle.

Downloads

Download data is not yet available.

References

Bartholomew D.J. [1980], Factor Analysis of Categorical Data, „Journal of the Royal Statistical Society", vol. 42, nr 3.

Bartholomew D.J., Knott M. [1999], Latent Variable Models and Factor Analysis, wyd. 2, Arnold, London.

Bartholomew D.J., Tzamourani P. [1999], The Goodness-of-fit of Latent Trait Models in Attitude Measurement, „Sociological Methods and Research", vol. 27, nr 4.

Bock R.D. [1972], Estimating Item Parameters and Latent Ability When Responses Are Scored in Two or More Nominal Categories, „Psychometrika", vol. 37, nr 1.

Gorsuch R.L. [1974], Factor Analysis, W.B. Saunders Co., Toronto.

Jöreskog K.G., Moustaki I. [2001], Factor Analysis of Ordinal Variables: A Comparison of Three Approaches, „Multivariate Behavioral Research", vol. 36, nr 3.

Moustaki I., Jöreskog K.G., Mavridis D. [2004], Factor Model for Ordinal Variables with Covariate Effects on the Manifest and Latent Variables: A Comparison LISREL and IRT Approaches, „Structural Equation Modeling", vol. 11, nr 4.

Moustaki I., Knott M. [2000], Generalized Latent Trait Models, „Psychometrika", vol. 65, nr 3.

Moustaki I., Steele F. [2005], Latent Variable Models for Mixtures of Categorical and Duration Responses, with an Application to Fertility Preferences and Family Planning in Bangladesh, „Statistical Modelling", vol. 5, nr 4.

Sagan A. [2000], Wybrane problemy identyfikacji i pomiaru struktur ukrytych, Zeszyty Naukowe Akademii Ekonomicznej w Krakowie, nr 543, Kraków.

Sikorska I. [2012], Analiza zmiennych ukrytych [w:] Zaawansowane metody analiz statystycznych, red. E. Frątczak, Szkoła Główna Handlowa w Warszawie, Warszawa.

Tarka P. [2010], Latent Variable Models - Issues on Measurement and Finding Exact Constructs, „Przegląd Statystyczny", nr 4.

Published

2015-12-16

Issue

Section

Articles