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The Sensitivity of Chi-Squared Goodness-of-Fit Tests to the Partitioning of Data

Author

Listed:
  • Gianna Boero
  • Jeremy Smith
  • Kenneth Wallis

Abstract

The power of Pearson's overall goodness-of-fit test and the components-of-chi-squared or “Pearson analog” tests of Anderson [Anderson, G. (1994). Simple tests of distributional form. J. Econometrics 62:265-276] to detect rejections due to shifts in location, scale, skewness and kurtosis is studied, as the number and position of the partition points is varied. Simulations are conducted for small and moderate sample sizes. It is found that smaller numbers of classes than are used in practice may be appropriate, and that the choice of non-equiprobable classes can result in substantial gains in power.

Suggested Citation

  • Gianna Boero & Jeremy Smith & Kenneth Wallis, 2005. "The Sensitivity of Chi-Squared Goodness-of-Fit Tests to the Partitioning of Data," Econometric Reviews, Taylor & Francis Journals, vol. 23(4), pages 341-370.
    • Handle: RePEc:taf:emetrv:v:23:y:2005:i:4:p:341-370
    DOI: 10.1081/ETC-200040782
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    Cited by:

    1. Bontemps, Christian, 2014. "Simple moment-based tests for value-at-risk models and discrete distribution," TSE Working Papers 14-535, Toulouse School of Economics (TSE).
    2. Bontemps, Christian, 2013. "Moment-Based Tests for Discrete Distributions," IDEI Working Papers 772, Institut d'Économie Industrielle (IDEI), Toulouse, revised Oct 2014.
    3. Menezes, Mozart B.C. & da Silveira, Giovani J.C. & Guimarães, Renato, 2018. "Estimating demand variability and capacity costs due to social network influence: The hidden cost of connection," International Journal of Production Economics, Elsevier, vol. 197(C), pages 317-329.
    4. Oller, Lars-Erik & Teterukovsky, Alex, 2007. "Quantifying the quality of macroeconomic variables," International Journal of Forecasting, Elsevier, vol. 23(2), pages 205-217.
    5. Gordon Anderson, 2008. "The empirical assessment of multidimensional welfare, inequality and poverty: Sample weighted multivariate generalizations of the Kolmogorov–Smirnov two sample tests for stochastic dominance," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 73-87, March.
    6. Hasebe, Takuya & Vijverberg, Wim P., 2012. "A Flexible Sample Selection Model: A GTL-Copula Approach," IZA Discussion Papers 7003, IZA Network @ LISER.

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    Keywords

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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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