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Gapping

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Abstract

Tukey's scheme for finding separations in univariate data strings is described and tested. It is found that one can use the size of a data gap coupled with its ordinal position in the distribution to determine the likelihood of its having arisen by chance. It was also shown that this scheme is relatively robust for fatter-tailed-than-Gaussian distributions and has some interesting implications in multidimensional situations.

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Reference Notes

  • Tukey, J. W. Personal communication, August, 1977.

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Author information

Authors and Affiliations

  1. The University of Chicago, USA

    Stephen Schacht

  2. Bureau of Social Science Research, Inc., 1990 M Street, N.W., 20036, Washington, D.C.

    Howard Wainer

Authors
  1. Howard Wainer
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  2. Stephen Schacht
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Additional information

Our thanks to John W. Tukey who read a preliminary version of the manuscript and made many helpful suggestions.

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Wainer, H., Schacht, S. Gapping. Psychometrika 43, 203–212 (1978). https://doi.org/10.1007/BF02293863

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  • DOI: https://doi.org/10.1007/BF02293863

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