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Scaled and adjusted restricted tests in multi-sample analysis of moment structures

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Abstract

We extend to score, Wald and difference test statistics the scaled and adjusted corrections to goodness-of-fit test statistics developed in Satorra and Bentler (1988a,b). The theory is framed in the general context of multisample analysis of moment structures, under general conditions on the distribution of observable variables. Computational issues, as well as the relation of the scaled and corrected statistics to the asymptotic robust ones, is discussed. A Monte Carlo study illustrates the comparative performance in finite samples of corrected score test statistics.

Suggested Citation

  • Albert Satorra, 1999. "Scaled and adjusted restricted tests in multi-sample analysis of moment structures," Economics Working Papers 395, Department of Economics and Business, Universitat Pompeu Fabra.
    • Handle: RePEc:upf:upfgen:395
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    Citations

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    Cited by:

    1. Albert Satorra & Peter Bentler, 2001. "A scaled difference chi-square test statistic for moment structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 507-514, December.
    2. Henrik Cronqvist & Florian Münkel & Stephan Siegel, 2014. "Genetics, Homeownership, and Home Location Choice," The Journal of Real Estate Finance and Economics, Springer, vol. 48(1), pages 79-111, January.

    More about this item

    Keywords

    Moment-structures; Goodness-of-fit; score test; Wald test; scaling corrections; chi-square distribution; non-normality;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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