Brief Report: Maxplane Meets Thurstone's "Factorially Invariant" Box Problem

Eber, Herbert W.

doi:10.1207/s15327906mbr0302_8

Cited by 5 publications

(2 citation statements)

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“…To obtain a simple oblique factor structure a Maxplane rotation procedure (Cattell & Muerle, 1960; Eber, 1968) was conducted. Beginning with an orthogonal Varimax rotation using principal axis factoring extraction, a Maxplane rotation program was employed to maximize the number of loadings or projections in the hyperplanes so that a more simple structure was obtained.…”

Section: Resultsmentioning

confidence: 99%

College Student Beliefs About Wagering: An Evaluation of the Adolescent Gambling Expectancies Survey

et al. 2013

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Expectancy theory posits that decisions to engage in a given behavior are closely tied to expectations of the outcome of that behavior. Gambling outcome expectancies have predicted adolescent gambling and gambling problems. When high school students’ outcome expectancies were measured by Wickwire, Whelan and Meyers (2010), the Adolescent Gambling Expectancy Survey (AGES) revealed five categories of expectancies that were each predictive of gambling frequency and pathology. The present study aimed to explore if the AGES could be successfully replicated with college students. When administered to a diverse college student population, factor analyses identified five factors similar to those found in the high school sample. Several factors of the AGES were also found to predict gambling frequency and gambling problems for college students. Gambling frequency and gambling activity preference were also addressed.

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Section: Resultsmentioning

confidence: 99%

College Student Beliefs About Wagering: An Evaluation of the Adolescent Gambling Expectancies Survey

et al. 2013

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“…It follows that no Promax rotation based on a hypothesis matrix formed from any of these orthogonal factor matrices would lead to a correct solution. Eber [1968] showed that the Cattell-Eber maxplane method would not solve it either.…”

Section: Numerical Examplesmentioning

confidence: 99%

The weighted varimax rotation and the promax rotation

1975

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Kaiser's iterative algorithm for the varimax rotation fails when (a) there is a substantial duster of test vectom near the middle of each bounding hyperplane, leading to non-bounding hyperplanes more heavily overdetermined than those at the boundaries of the configuration of test vectors, and/or (b) there are appreciably more than m (m factors) tests whose loadings on one o f the factors of the initial F-matrix, usually the first, are near-zero, leading to overdetermination of the hyperplane orthogonal to this initial F-axis before rotation. These difficulties are overcome by weighting the test vectors, giving maximum weights to those likely to be near the primary axes, intermediate weights to those likely to be near hyperptanes but not near primary axes, and near-zero weights to those almost collinear with or almost orthogonal to the first initial F-axis. Applications to the Promax rotation are discussed, and it is shown that these procedures solve Thurstone's hitherto intractable "invariant" box problem as well as other more common problems based on real data.

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Simple Structure Reconsidered: Distinguishability and Invariance in Factor Analysis

Butler¹

1969

Multivariate Behavioral Research

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Brief Report: Maxplane Meets Thurstone's "Factorially Invariant" Box Problem

Cited by 5 publications

References 1 publication

College Student Beliefs About Wagering: An Evaluation of the Adolescent Gambling Expectancies Survey

College Student Beliefs About Wagering: An Evaluation of the Adolescent Gambling Expectancies Survey

The weighted varimax rotation and the promax rotation

Simple Structure Reconsidered: Distinguishability and Invariance in Factor Analysis

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