Factor Analysis for Binary Data in the Analysis of the Latent Structure of Market Phenomena
DOI:
https://doi.org/10.15678/krem.738Keywords:
factor analysis, latent variables, binary data, nominal scaleAbstract
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
References
Bartholomew D.J. [1980], Factor Analysis of Categorical Data, „Journal of the Royal Statistical Society", vol. 42, nr 3. DOI: https://doi.org/10.1111/j.2517-6161.1980.tb01128.x
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. DOI: https://doi.org/10.1177/0049124199027004003
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. DOI: https://doi.org/10.1207/S15327906347-387
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. DOI: https://doi.org/10.1207/s15328007sem1104_1
Moustaki I., Knott M. [2000], Generalized Latent Trait Models, „Psychometrika", vol. 65, nr 3. DOI: https://doi.org/10.1007/BF02296153
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. DOI: https://doi.org/10.1191/1471082X05st100oa
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.