Abstract
We investigate the effects of a complex sampling design on the estimation of mixture models. An approximate or pseudo likelihood approach is proposed to obtain consistent estimates of class-specific parameters when the sample arises from such a complex design. The effects of ignoring the sample design are demonstrated empirically in the context of an international value segmentation study in which a multinomial mixture model is applied to identify segment-level value rankings. The analysis reveals that ignoring the sample design results in both an incorrect number of segments as identified by information criteria and biased estimates of segment-level parameters.
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Wedel, M., ter Hofstede, F. & Steenkamp, JB. Mixture Model Analysis of Complex Samples. J. of Classification 15, 225–244 (1998). https://doi.org/10.1007/s003579900032
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DOI: https://doi.org/10.1007/s003579900032