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

  1. Tenko Raykov1,*,
  2. Richard E. Zinbarg2

Article first published online: 15 APR 2011

DOI: 10.1348/000711009X479714

Issue

British Journal of Mathematical and Statistical Psychology

British Journal of Mathematical and Statistical Psychology

Volume 64, Issue 2, pages 193–207, May 2011

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How to Cite

Raykov, T. and Zinbarg, R. E. (2011), Proportion of general factor variance in a hierarchical multiple-component measuring instrument: A note on a confidence interval estimation procedure. British Journal of Mathematical and Statistical Psychology, 64: 193–207. doi: 10.1348/000711009X479714

Author Information

  1. 1

    Michigan State University, East Lansing, Michigan, USA

  2. 2

    Northwestern University and The Family Institute at Northwestern University, Evanston, Illinois, 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).

Publication History

  1. Issue published online: 15 APR 2011
  2. Article first published online: 15 APR 2011
  3. Received 9 March 2009; revised version received 19 October 2009

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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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