An alternative to traditional goodness-of-fit tests for discretely measured continuous data

  • Authors: Randolph, KaDonna C.; Seaver, Bill
  • Publication Year: 2007
  • Publication Series: Miscellaneous Publication
  • Source: Forest Science, Vol. 53(5): 590-599

Abstract

Traditional goodness-of-fit tests such as the Kolmogorov-Smirnov and x2 tests are easily applied to data of the continuous or discrete type, respectively. Occasionally, however, the case arises when continuous data are recorded into discrete categories due to an imprecise measurement system. In this instance, the traditional goodness-of-fit tests may not be wholly applicable because of an unmanageable number of ties in the data, sparse contingency tables, or both; therefore, a flexible alternative to goodness-of-fit tests for discretely measured continuous data is presented. The proposed methodology bootstraps confidence intervals for the difference between selected percentiles of the empirical distribution functions of two samples. Application of the approach is illustrated with a comparison of loblolly pine (Pinus taeda L.) tree crown density distributions at the 10th, 25th, 50th, 75th, and 90th percentiles simultaneously.

  • Citation: Randolph, KaDonna C.; Seaver, Bill 2007. An alternative to traditional goodness-of-fit tests for discretely measured continuous data. Forest Science, Vol. 53(5): 590-599
  • Keywords: bootstrapping, crown density, empirical distribution function, percentiles
  • Posted Date: February 29, 2008
  • Modified Date: March 4, 2008
  • Print Publications Are No Longer Available

    In an ongoing effort to be fiscally responsible, the Southern Research Station (SRS) will no longer produce and distribute hard copies of our publications. Many SRS publications are available at cost via the Government Printing Office (GPO). Electronic versions of publications may be downloaded, printed, and distributed.

    Publication Notes

    • This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.
    • Our online publications are scanned and captured using Adobe Acrobat. During the capture process some typographical errors may occur. Please contact the SRS webmaster if you notice any errors which make this publication unusable.
    • To view this article, download the latest version of Adobe Acrobat Reader.