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A Chronicle of Permutation Statistical Methods - 1920-2000, and Beyond (Hardcover, 2014 ed.)
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A Chronicle of Permutation Statistical Methods - 1920-2000, and Beyond (Hardcover, 2014 ed.)
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The focus of this book is on the birth and historical development
of permutation statistical methods from the early 1920s to the near
present. Beginning with the seminal contributions of R.A. Fisher,
E.J.G. Pitman, and others in the 1920s and 1930s, permutation
statistical methods were initially introduced to validate the
assumptions of classical statistical methods. Permutation methods
have advantages over classical methods in that they are optimal for
small data sets and non-random samples, are data-dependent, and are
free of distributional assumptions. Permutation probability values
may be exact, or estimated via moment- or resampling-approximation
procedures. Because permutation methods are inherently
computationally-intensive, the evolution of computers and computing
technology that made modern permutation methods possible
accompanies the historical narrative. Permutation analogs of many
well-known statistical tests are presented in a historical context,
including multiple correlation and regression, analysis of
variance, contingency table analysis, and measures of association
and agreement. A non-mathematical approach makes the text
accessible to readers of all levels.
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