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Proportion of general factor variance in a hierarchical multiple-component measuring instrument: A note on a confidence interval estimation procedure

Authors

  • Tenko Raykov,

    Corresponding author
    1. Michigan State University, East Lansing, Michigan, USA
      Correspondence should be addressed to Dr Tenko Raykov, Measurement and Quantitative Methods, Michigan State University, 443A Erickson Hall, East Lansing, MI 48824, USA (e-mail: raykov@msu.edu).
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  • Richard E. Zinbarg

    1. Northwestern University and The Family Institute at Northwestern University, Evanston, Illinois, USA
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Correspondence should be addressed to Dr Tenko Raykov, Measurement and Quantitative Methods, Michigan State University, 443A Erickson Hall, East Lansing, MI 48824, USA (e-mail: raykov@msu.edu).

Abstract

A confidence interval construction procedure for the proportion of explained variance by a hierarchical, general factor in a multi-component measuring instrument is outlined. The method provides point and interval estimates for the proportion of total scale score variance that is accounted for by the general factor, which could be viewed as common to all components. The approach may also be used for testing composite (one-tailed) or simple hypotheses about this proportion, and is illustrated with a pair of examples.

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