Journal article

Publication year: 2020

Pages: 164-169

Journal: British Journal of Mathematical and Statistical Psychology

Volume number: 73

Issue number: 1

ISSN: 0007-1102

eISSN: 2044-8317

DOI Link: https://doi.org/10.1111/bmsp.12161

Publisher: Wiley

Abstract: 
Although a statistical model might fit well to a large proportion of the individuals of a random sample, some individuals might give 'unusual' responses that are not well explained by the hypothesized model. If individual responses are given as continuous response vectors, M-distances can be used to produce real valued indicators of how well an individual's response vector corresponds to a covariance structure implied by a psychometric model. In this note, we focus on the so-called one-factor model. Two M-distances, d(si) and d(ri), which are sensitive to different aspects of the assumed factor model, have been proposed. While one of the M-distances, d(ri), has been derived based on Bartlett factor scores, in this note we show that the second M-distance, d(si), can be derived in an analogous fashion based on Thomson factor scores.

Harvard Citation style: Schuster, C. and Lubbe, D. (2020) A note on residual M-distances for identifying aberrant response patterns, British Journal of Mathematical and Statistical Psychology, 73(1), pp. 164-169. https://doi.org/10.1111/bmsp.12161

APA Citation style: Schuster, C., & Lubbe, D. (2020). A note on residual M-distances for identifying aberrant response patterns. British Journal of Mathematical and Statistical Psychology. 73(1), 164-169. https://doi.org/10.1111/bmsp.12161