Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Statistics
  • Help & Advice
University of Warwick

The Library

  • Login

The sensitivity of chi-squared goodness-of-fit tests to the partitioning of data

Tools
- Tools
+ Tools

Smith, Jeremy (Jeremy P.) (2004) The sensitivity of chi-squared goodness-of-fit tests to the partitioning of data. Working Paper. University of Warwick, Department of Economics, [Coventry].

[img]
Preview
PDF
WRAP_Smith_Jeremy_twerp694.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader

Download (419Kb)
Official URL: http://www2.warwick.ac.uk/fac/soc/economics/resear...

Abstract

In this paper we conduct a Monte Carlo study to determine the power of Pearson’s overall goodness-of-fit test as well as the “Pearson analog” tests (see Anderson (1994)) to detect rejections due to shifts in variance, skewness and kurtosis, as we vary the number and location of the partition points. Simulations are conducted for small and moderate sample sizes. While it is generally recommended that to improve the power of the goodness-of-fit test the partition points are equiprobable, we find that power can be improved by the use of non-equiprobable partitions.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics
Library of Congress Subject Headings (LCSH): Goodness-of-fit tests, Econometric models
Series Name: Warwick economic research papers
Publisher: University of Warwick, Department of Economics
Place of Publication: [Coventry]
Date: January 2004
Number: No.694
Number of Pages: 35
Status: Not Peer Reviewed
Access rights to Published version: Open Access
Description: Working paper.
Version or Related Resource: Boero, G., Smith, J. and Wallis, K. F. (2004). The sensitivity of chi-squared goodness-of-fit tests to the partitioning of data. Econometric Reviews, 23, pp.341-370.
Related URLs:
  • http://dx.doi.org/10.1081/ETC-200040782
References: Anderson, G. (1994). “Simple tests of distributional form”, Journal of Econometrics, 62, 265-276. Anderson, G. (1996). “Nonparametric tests of stochastic dominance in income distributions”. Econometrica, 64, 1183-1193. Boero, G., Smith, J. P. and Wallis, K. F. (2004). “Decompositions of Pearson’s Chi- Squared Test”. Journal of Econometrics, forthcoming. Boero, G. and Marrocu E. (2003). “The performance of SETAR models by regime: a conditional evaluation of interval and density forecasts”, International Journal of Forecasting, forthcoming. Chambers, J. M., Mallows, C. L. and Stuck, B. W. (1976). “A method for simulating stable random variables”. Journal of the American Statistical Association, 71, 340-344. Cohen, A. and Sackrowitz H. B. (1975). “Unbiasedness of the chi-square, likelihood ratio, and other goodness of fit tests for the equal cell case”, Annals of Statistics, 3, 959-964. Dahiya, R. C. and Gurland J. (1973). “How many classes in the Pearson chi-square test?”, Journal of the American Statistical Association, 68, 678-89. Fama, E. F. (1965). “The behaviour of stock market prices”. Journal of Business, 38, 34-105. Gumbel, E. J. (1943). “On the reliability of the classical chi-square test”. Annals of Mathematical Statistics, 14, 253-63. Hamdan, M.A. (1963). “The number and width of classes in chi-square test”. Journal of the American Statistical Association, 58, 678-89. Kallenberg, W. C. M., Oosterhoff, J. and Schriever, B. F. (1985). “The number of classes in chi-squared goodness-of-fit tests”. Journal of the American Statistical Association, 80, 959-968. Koelher, K. J. and Gan, F. F. (1990). “Chi-squared goodness-of-fit tests: cell selection and power”. Communications in Statistics, B, 19, 1265. Mandelbrot, B. (1963). “New methods in statistical economics”. Journal of Political Economy, 71, 421-440. Mann, H. B. and Wald, A. (1942). “On the choice of the number of class intervals in the application of the chi-square test”. Annals of Mathematical Statistics, 13, 306-317.
URI: http://wrap.warwick.ac.uk/id/eprint/126

Request changes to a record

Actions (login required)

View Item View Item

Document Downloads

More statistics for this item...
twitter

Email us: publications@warwick.ac.uk
Contact Details
About Us