• data
  • The first meaning of nonparametric covers techniques that do not rely on data belonging to any particular distribution. (wikipedia.org)
  • nonparametric statistics (in the sense of a statistic over data, which is defined to be a function on a sample that has no dependency on a parameter ), whose interpretation does not depend on the population fitting any parameterised distributions. (wikipedia.org)
  • Just like Newton's laws which are not applicable near the speed of light or in situations where quantum mechanics must be used, parametric statistics fall apart when a data set's distribution is unknown or wildly erratic. (iu.edu)
  • So theories and methods of nonparametric statistics have evolved to handle data sets such as these. (iu.edu)
  • When tied pairs arise in the data, the coefficient may be modified in a number of ways to keep it in the range [−1, The Tau-a statistic tests the strength of association of the cross tabulations. (wikipedia.org)
  • He is the author of a statistics textbook that presents statistical methods via Monte Carlo simulation methods, editor of a volume on real data analysis published by the American Educational Research Association SIG/Educational Statisticians, and author of over a hundred articles in applied statistics and social sciences journals. (wikipedia.org)
  • assumptions
  • And because nonparametric statistical techniques are valid under less restrictive assumptions than those of a specified distribution type, they are very versatile, and they have found applications in many new methods of analysis. (iu.edu)
  • In general, statisticians use the adjective "nonparametric" to refer to situations in which the usual, parametric assumptions are not valid. (iu.edu)
  • Samples
  • If the statistic is not significant, then there is no evidence of stochastic dominance between the samples. (wikipedia.org)
  • The Kolmogorov-Smirnov statistic quantifies a distance between the empirical distribution function of the sample and the cumulative distribution function of the reference distribution, or between the empirical distribution functions of two samples. (wikipedia.org)
  • research
  • Shlomo S. Sawilowsky is professor of educational statistics and Distinguished Faculty Fellow at Wayne State University in Detroit, Michigan, where he has received teaching, mentoring, and research awards. (wikipedia.org)
  • mean
  • In statistics, Stein's unbiased risk estimate (SURE) is an unbiased estimator of the mean-squared error of "a nearly arbitrary, nonlinear biased estimator. (wikipedia.org)