Nonparametric statistics for the behavioral sciences

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• graycat · Feb 21, 2022 · Recommends

  There is a nice treatment of resampling, i.e., permutation tests, in (from my TeX format bibliography) Sidney Siegel, {\it Nonparametric Statistics for the Behavioral Sciences,\/} McGraw-Hill, New York, 1956.\ \ Right, there was already a good book on such tests over 50 years ago. Can also justify it with an independence, identically distributed assumption. But a weaker…

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• graycat · Oct 31, 2015 · Recommends

  …has an hypothesis test. There's a large literature for that, e.g., E. L. Lehmann, Testing Statistical Hypotheses. E. L. Lehmann, Nonparametrics: Statistical Methods Based on Ranks. Sidney Siegel, Nonparametric Statistics for the Behavioral Sciences. In this case, PG will be more interested in the non-parametric case, i.e., distribution-free where we make no assumptions about probability distributions. We start an hypothesis test with an hypothesis,…

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• jll29 · Feb 21, 2022 · Recommends

  The 2nd edition is never far from my desk: Siegel, S., & Castellan, N. J. (1988). Nonparametric statistics for the behavioral sciences (2nd ed.) New York: McGraw-Hill.

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• graycat · Jul 10, 2023 · Recommends

  Might consider, say, Sidney Siegel, N. John Castellan, Jr. 'Nonparametric Statistics for the Behavioral Sciences, Second Edition', ISBN 0-07-057357-3, McGraw-Hill, New York, 1988. So, "nonparametric" means make no assumptions about a probability distribution based on parameters. Or, call the material distribution-free.…

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• graycat · Jul 10, 2023 · Recommends

  For statistical learning, the book I mentioned Nonparametric Statistics for the Behavioral Sciences, should make a good contribution to statistical learning. Some of the techniques are so robust, i.e., need such meager assumptions, that they should be especially welcome in automatically applied AI…

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• graycat · Aug 21, 2015 · Recommends

  …testing, guys. Sorry 'bout that. For more, see, say some of the classics: E. L. Lehmann, Testing Statistical Hypotheses. E. L. Lehmann, Nonparametrics: Statistical Methods Based on Ranks. Sidney Siegel, Nonparametric Statistics for the Behavioral Sciences. Once I presented my work to Cisco. Their reaction was that my work was "just statistical". Well, what the heck do you expect? Want something deterministic, 0 or 1, for healthy or sick? Do you realize what…

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• HilbertSpace · Nov 24, 2009 · Mentions

  …Methods Based on Ranks,\/} ISBN 0-8162-4994-6, Holden-Day, San Francisco, 1975.\ \ Jaroslav H\'ajek and Zbyn\v ek \v Sid\'ak, {\it Theory of Rank Tests,\/} Academia, Prague, 1967.\ \ Sidney Siegel, {\it Nonparametric Statistics for the Behavioral Sciences,\/} McGraw-Hill, New York, 1956.\ \ So, it's old material. There are many such hypothesis tests. But the old material essentially always has, for the student case, only one number on each student.…

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• graycat · May 16, 2013 · Mentions

  …know nothing about the probability distribution. There is a long history of hypothesis tests for from a single variable, including many tests that are distribution-free. See old books by S. Siegel, 'Nonparametric Statistics for the Behavioral Sciences' or E. Lehmann, 'Nonparametrics'. For multi-dimensional hypothesis tests, there's not much and still less when also distribution-free. Why multi-dimensional? Because for the two interacting systems…

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• graycat · Jun 1, 2017 · Mentions

  …Methods Based on Ranks,\/} ISBN 0-8162-4994-6, Holden-Day, San Francisco, 1975.\ \ Jaroslav H\'ajek and Zbyn\v ek \v Sid\'ak, {\it Theory of Rank Tests,\/} Academia, Prague, 1967.\ \ Sidney Siegel, {\it Nonparametric Statistics for the Behavioral Sciences,\/} McGraw-Hill, New York, 1956.\ \ Donald F.\ Morrison, {\it Multivariate Statistical Methods: Second Edition,\/} ISBN 0-07-043186-8, McGraw-Hill, New York, 1976.\ \ Harry H.\ Harman, {\it Modern…

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• graycat · Dec 29, 2015 · Mentions

  …A major theme in such statistics is permutations. Another major theme, and more recent, is resampling. I first learned about such tests from a book that was sitting around the office, Sidney Siegel, Nonparametric Statistics for the Behavioral Sciences. These tests are all one dimensional. Once I published a paper on a distribution-free test that is multi-dimensional -- my paper may remain the only such. These days, see also the work of B. Efron…

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• graycat · Dec 1, 2024 · Mentions

  > gap? E. L. Lehmann, 'Nonparametrics: Statistical Methods Based on Ranks', ISBN 0-8162-4994-6, Holden-Day, San Francisco, 1975. Sidney Siegel, 'Nonparametric Statistics for the Behavioral Sciences', McGraw-Hill, New York, 1956. Bradley Efron, 'The Jackknife, the Bootstrap, and Other Resampling Plans', ISBN 0-89871-179-7, SIAM, Philadelphia, 1982. Hypothesis testing?? Somewhere maybe I still…

  on “Review of "Statistics" by Freedman, Pisani, and Purves (2017)” ↗
• graycat · Nov 7, 2019 · Mentions

  …Lehmann, Testing Statistical Hypotheses, John Wiley, New York, 1959. E. L. Lehmann, Nonparametrics: Statistical Methods Based on Ranks, ISBN 0-8162-4994-6, Holden-Day, San Francisco, 1975. Sidney Siegel, Nonparametric Statistics for the Behavioral Sciences, McGraw-Hill, New York, 1956. The last is also just hypothesis testing; apparently the book is still referenced. From some statistical consultants inside GE, there is Gerald J. Hahn and Samuel S. Shapiro, Statistical…

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