Abstract
Varying sets of items and constructs are a problem frequently encountered in cross-national and longitudinal studies in marketing. We discuss the use of multi-group latent variable models in this situation and describe a method that can be used to handle unequal sets of items and constructs across groups in such models. A simulation study based on cross-national marketing data from Belgium and Great Britain revealed that accurate estimates of differences between latent means can be obtained with this procedure with as few as two common items, although a fairly large sample size is required to obtain small standard errors of the estimates of latent mean differences. A substantive example involving a confirmatory factor model as well as a structural model is also provided, using longitudinal data concerning the quality image of a food product in the Netherlands.
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References
Allison, Paul D. (1987). “Estimation of Linear Models with Incomplete Data.” In Clifford Clogg (ed.), Sociological Methodology 1987. San Francisco: Jossey-Bass, 71–103.
Anderson, James C. and David W. Gerbing. (1988). “Structural Equation Modeling in Practice: A Review and Recommended Two-Step Approach,” Psychological Bulletin 103, 411–423.
Bagozzi, Richard P. and Hans Baumgartner. (1994). “The Evaluation of Structural Equation Models and Hypothesis Testing.” In Richard P. Bagozzi (ed.), Principles of Marketing Research. Cambridge: Blackwell, 386–422.
Baumgartner, Hans, and Christian Homburg. (1996). “Applications of Structural Equation Modeling in Marketing and Consumer Research: A Review,” International Journal of Research in Marketing 13, 139–161.
Berry, John W. (1969). “On Cross-Cultural Comparability,” International Journal of Psychology 4, 119–128.
Bollen, Kenneth A. (1989). Structural Equations with Latent Variables. New York: Wiley.
Byrne, Barbara M., Richard J. Shavelson, and Bengt Muthén. (1989). “Testing for the Equivalence of Factor Covariance and Mean Structures: The Issue of Partial Measurement Invariance,” Psychological Bulletin 105, 456–466.
Ding, Lin, Wayne F. Velicer, and Lisa L. Harlow. (1995). “Effects of Estimation Methods, Number of Indicators per Factor, and Improper Solutions on Structural Equation Modeling Fit Indices,” Structural Equation Modeling 2, 119–143.
Garlington, W. F. and H. E. Shimota. (1964). “The Change Seeker Index: A Measure of the Need for Variable Stimulus Input,” Psychological Reports 14, 919–924.
Green, Robert T. and Eric Langeard. (1975). “A Cross-National Comparison of Consumer Habits and Innovator Characteristics,” Journal of Marketing 39 (July), 34–41.
Grunert, Klaus G., Allan Baadsgaard, Hanne H. Larsen, and Tage K. Madsen. (1996). Market Orientation in Food and Agriculture. Boston: Kluwer Academic Publishers.
Hayduk, Leslie A. (1996). LISREL Issues, Debates, and Strategies. Baltimore: Johns Hopkins University Press.
Jöreskog, Karl G. (1971). “Simultaneous Factor Analysis in Several Populations,” Psychometrika 36, 409–426.
Jöreskog, Karl G. and Dag Sörbom. (1993). LISREL 8: User's Reference Guide, Chicago: Scientific Software International.
Meredith, William. (1993). “Measurement Invariance, Factor Analysis and Factorial Invariance,” Psychometrika 58, 525–543.
Sörbom, Dag. (1974). “A General Method for Studying Differences in Factor Means and Factor Structure between Groups,” British Journal of Mathematical and Statistical Psychology 27, 229–239.
Steenkamp, Jan-Benedict E. M. and Hans Baumgartner. (1992). “The Role of Optimum Stimulation Level in Exploratory Consumer Behavior,” Journal of Consumer Research 19, 434–448.
Steenkamp, Jan-Benedict E. M. and Hans Baumgartner. (1995). “Development and Cross-Cultural Validation of a Short Form of CSI as a Measure of Optimum Stimulation Level,” International Journal of Research in Marketing 12, 97–104.
Steenkamp, Jan-Benedict E. M. and Hans Baumgartner. (forthcoming). “Assessing Measurement Invariance in Cross-National Consumer Research,” Journal of Consumer Research.
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Baumgartner, H., Steenkamp, JB.E. Multi-Group Latent Variable Models for Varying Numbers of Items and Factors with Cross-National and Longitudinal Applications. Marketing Letters 9, 21–35 (1998). https://doi.org/10.1023/A:1007911903032
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DOI: https://doi.org/10.1023/A:1007911903032