A note on the relationship between the number of indicators and their reliability in detecting regression coefficients in latent regression analysis

Conor V. Dolan, Jelte M. Wicherts, Peter C.M. Molenaar

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider the question of how variation in the number and reliability of indicators affects the power to reject the hypothesis that the regression coefficients are zero in latent linear regression analysis. We show that power remains constant as long as the coefficient of determination remains unchanged. Any increase in the number of indicators always results in an increase in the coefficient of determination and so in the power. We note that the coefficient of determination plays a similar role in determining the error variance of predicted factor scores.

Original languageEnglish (US)
Pages (from-to)210-216
Number of pages7
JournalStructural Equation Modeling
Volume11
Issue number2
DOIs
StatePublished - Jan 1 2004

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Coefficient of Determination
Regression Coefficient
Regression Analysis
Linear regression
Regression analysis
regression analysis
regression
Zero
Relationships
Coefficients

All Science Journal Classification (ASJC) codes

  • Decision Sciences(all)
  • Modeling and Simulation
  • Sociology and Political Science
  • Economics, Econometrics and Finance(all)

Cite this

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A note on the relationship between the number of indicators and their reliability in detecting regression coefficients in latent regression analysis. / Dolan, Conor V.; Wicherts, Jelte M.; Molenaar, Peter C.M.

In: Structural Equation Modeling, Vol. 11, No. 2, 01.01.2004, p. 210-216.

Research output: Contribution to journalArticle

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