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A Note on Using Eigenvalues in Dimensionality Assessment

Cengiz Zopluoglu, Ernest C. Davenport

2020Scholarworks (University of Massachusetts Amherst)35 citationsDOIOpen Access PDF

Abstract

The dimensionality of a set of items is important for scale development. In practice, tools that make use of eigenvalues are often used to assess dimensionality. Parallel analysis is featured here as it is becoming an increasingly popular method for assessing the number of dimensions, and computational tools have recently been made available which will likely increase its use by practitioners. The current paper argues that methods that use eigenvalues to ascertain the number of factors may perform poorly under certain conditions, particularly for increasing levels of variable complexity and/or inter-factor correlations in the latent structure. A simulation study and an example are offered to substantiate this assertion. Accessed 2,400 times on https://pareonline.net from September 06, 2017 to December 31, 2019. For downloads from January 1, 2020 forward, please click on the PlumX Metrics link to the right.

Topics & Concepts

Curse of dimensionalityEigenvalues and eigenvectorsMathematicsComputer sciencePsychologyArtificial intelligencePhysicsQuantum mechanicsStatistical and numerical algorithms
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