List of important publications in statistics
... and non-parametric analyses. This book was written before computer programmes were available, so it gives the detail needed to ... Statistics portal List of scientific journals in statistics Stigler, Stephen M. (March 1978). "Mathematical Statistics in the ... and conjugate priors in Bayesian statistics. Pioneering asymptotic statistics, proved an early version of the Bernstein-von ... This is a list of important publications in statistics, organized by field. Some reasons why a particular publication might be ...
Nonparametricstatistics
It includes nonparametric descriptive statistics, statistical models, inference and statistical tests. nonparametric statistics ... Nonparametric statistics is the branch of statistics that is not based solely on parameterized families of probability ... Nonparametric statistics includes both descriptive statistics and statistical inference. The statistician Larry Wasserman has ... Parametric statistics Resampling (statistics) CDF-based nonparametric confidence interval Information field theory Wasserman ( ...
Friedman test
Nonparametric Statistics. New York: J. Wiley. ISBN 0-471-40635-X. Siegel, Sidney; Castellan, N. John Jr. (1988). Nonparametric ... Kendall's W is a normalization of the Friedman statistic between 0 and 1. The Wilcoxon signed-rank test is a nonparametric test ... Daniel, Wayne W. (1990). "Friedman two-way analysis of variance by ranks". Applied Nonparametric Statistics (2nd ed.). Boston: ... ISBN 3-540-13776-9. Conover, W. J. (1971, 1980). Practical nonparametric statistics. New York: Wiley. ISBN 0-471-16851-3. Bortz ...
Wald-Wolfowitz runs test
Alhakim, A; Hooper, W (2008). "A non-parametric test for several independent samples". Journal of Nonparametric Statistics. 20 ... The Wald-Wolfowitz runs test (or simply runs test), named after Abraham Wald and Jacob Wolfowitz, is a non-parametric ... Sprent P, Smeeton NC (2007) Applied Nonparametric Statistical Methods, pp. 217-219. Boca Raton: Chapman & Hall/ CRC. ...
Kruskal-Wallis one-way analysis of variance
Spurrier, J. D. (2003). "On the null distribution of the Kruskal-Wallis statistic". Journal of Nonparametric Statistics. 15 (6 ... Siegel; Castellan (1988). Nonparametric Statistics for the Behavioral Sciences (Second ed.). New York: McGraw-Hill. ISBN ... Daniel, Wayne W. (1990). "Kruskal-Wallis one-way analysis of variance by ranks". Applied Nonparametric Statistics (2nd ed.). ... Corder, Gregory W.; Foreman, Dale I. (2009). Nonparametric Statistics for Non-Statisticians. Hoboken: John Wiley & Sons. pp. 99 ...
Stein's unbiased risk estimate
Wasserman, Larry (2005). All of Nonparametric Statistics. ... In statistics, Stein's unbiased risk estimate (SURE) is an ... Stein, Charles M. (November 1981). "Estimation of the Mean of a Multivariate Normal Distribution". The Annals of Statistics. 9 ...
Larry A. Wasserman
He has also written two advanced statistics textbooks, All of Statistics and All of Nonparametric Statistics. 2004. All of ... All of Nonparametric Statistics. New York: Springer, 2006. ISBN 978-0-387-25145-5 Larry Wasserman Elected To National Academy ... All of Nonparametric Statistics. Springer. ISBN 978-0-387-25145-5 2013. Topological Inference. Reitz Lecture 2013. 2016, Member ... All of Statistics: A Concise Course in Statistical Inference. New York: Springer, 2004. ISBN 978-0-387-40272-7 Wasserman, Larry ...
Multivariate kernel density estimation
"Remarks on some nonparametric estimates of a density function". Annals of Mathematical Statistics. 27 (3): 832-837. doi:10.1214 ... Journal of Nonparametric Statistics. 15: 17-30. doi:10.1080/10485250306039. Wand, M.P.; Jones, M.C. (1994). "Multivariate plug- ... Journal of Nonparametric Statistics. 18 (2): 215-226. doi:10.1080/10485250600712008. Marron, J.S.; Tsybakov, A. (1996). "Visual ... ISBN 0-387-94716-7. Silverman, B.W. (1986). Density Estimation for Statistics and Data Analysis. Chapman & Hall/CRC. pp. 7-11. ...
Kendall rank correlation coefficient
Daniel, Wayne W. (1990). "Kendall's tau". Applied Nonparametric Statistics (2nd ed.). Boston: PWS-Kent. pp. 365-377. ISBN 0-534 ... is a statistic used to measure the ordinal association between two measured quantities. A tau test is a non-parametric ... This test is non-parametric, as it does not rely on any assumptions on the distributions of X or Y or the distribution of (X,Y ... The Tau-b statistic, unlike Tau-a, makes adjustments for ties. Values of Tau-b range from −1 (100% negative association, or ...
Page's trend test
Applied Nonparametric Statistics (2nd ed.). Boston: PWS-Kent. pp. 279-284. ISBN 0-534-91976-6. Nonparametric Tests of Trend. ... In statistics, the Page test for multiple comparisons between ordered correlated variables is the counterpart of Spearman's ...
Sign test
Kitchens, L.J.(2003). Basic Statistics and Data Analysis. Duxbury. Conover, W. J. (1980). Practical Nonparametric Statistics, ... Mendenhall W, Wackerly DD, Scheaffer RL (1989), "15: Nonparametric statistics", Mathematical statistics with applications ( ... Practical Nonparametric Statistics (Third ed.), Wiley, pp. 157-176, ISBN 0-471-16068-7 Sprent, P. (1989), Applied Nonparametric ... Baguley, Thomas (2012), Serious Stats: A Guide to Advanced Statistics for the Behavioral Sciences, Palgrave Macmillan, p. 281, ...
Shlomo Sawilowsky
"Nonparametric Statistics for Non-Statisticians". "Library Anxiety". Sawilowsky, Shlomo S.; Fahoome, Gail C. (2003). Statistics ... Many of his publications are related to rank-based nonparametric statistics. For example, an examination of the robustness and ... Hettmansperger, T. P.; McKean, J. W. (1998). Robust nonparametric statistical methods. Kendall's Library of Statistics. 5 ( ... 1990 Nonparametric tests of interaction in experimental design. Review of Educational Research, 60, 91-126. 1989 (With R. C. ...
Durbin test
Practical Nonparametric Statistics (Third ed.). Wiley. pp. 388-395. ISBN 0-471-16068-7. This article incorporates public domain ... The T2 statistic has slightly more accurate critical regions, so it is now the preferred statistic. The T2 statistic is the two ... The Durbin test is a nonparametric test for balanced incomplete designs that reduces to the Friedman test in the case of a ... In the analysis of designed experiments, the Friedman test is the most common non-parametric test for complete block designs. ...
Jaroslav Hájek
A course in nonparametric statistics. San Francisco: Holden-Day. Jaroslav Hájek at the Mathematics Genealogy Project. ... was a Czech mathematician who worked in theoretical and nonparametric statistics. The Hájek-Le Cam convolution theorem is named ...
Kolmogorov-Smirnov test
In statistics, the Kolmogorov-Smirnov test (K-S test or KS test) is a nonparametric test of the equality of continuous, one- ... Corder, G. W.; Foreman, D. I. (2014). Nonparametric Statistics: A Step-by-Step Approach. Wiley. ISBN 978-1118840313. Stephens, ... Applied Nonparametric Statistics (2nd ed.). Boston: PWS-Kent. pp. 319-330. ISBN 0-534-91976-6. Eadie, W.T.; D. Drijard; F.E. ... If one chooses a critical value of the test statistic Dα such that P(Dn > Dα) = α, then a band of width ±Dα around Fn(x) will ...
Cochran's Q test
Conover, William Jay (1999). Practical Nonparametric Statistics (Third ed.). Wiley, New York, NY USA. pp. 388-395. ISBN ... The Cochran's Q test statistic is T = k ( k − 1 ) ∑ j = 1 k ( X ∙ j − N k ) 2 ∑ i = 1 b X i ∙ ( k − X i ∙ ) {\displaystyle T=k\ ... In statistics, in the analysis of two-way randomized block designs where the response variable can take only two possible ... The null hypothesis is rejected if the test statistic is in the critical region. If the Cochran test rejects the null ...
Jonckheere's trend test
Leach, C. (1979). Introduction to Statistics: A non-parametric approach for the social sciences. Chichester: John Wiley. Loftus ... Daniel, Wayne W. (1990). "Jonckheere-Terpstra tst for ordered alternatives". Applied Nonparametric Statistics (2nd ed.). Boston ... In statistics, the Jonckheere trend test (sometimes called the Jonckheere-Terpstra test) is a test for an ordered alternative ... If there are no ties - or the ties occur within a particular sample (which does not affect the value of the test statistic) - ...
Spearman's rank correlation coefficient
ISBN 978-3-540-21120-4. Corder, G.W. & Foreman, D.I. (2014). Nonparametric Statistics: A Step-by-Step Approach, Wiley. ISBN 978 ... Daniel, Wayne W. (1990). "Spearman rank correlation coefficient". Applied Nonparametric Statistics (2nd ed.). Boston: PWS-Kent ... In statistics, Spearman's rank correlation coefficient or Spearman's rho, named after Charles Spearman and often denoted by the ... ISBN 978-0-387-31742-7. Yule, G. U.; Kendall, M. G. (1968) [1950]. An Introduction to the Theory of Statistics (14th ed.). ...
Median test
In statistics, Mood's median test is a special case of Pearson's chi-squared test. It is a nonparametric test that tests the ... 1988, 2nd ed.). Nonparametric statistics for the behavioral sciences. New York: McGraw-Hill. Friedlin, B. & Gastwirth, J. L. ( ... Corder, G.W. & Foreman, D.I. (2014). Nonparametric Statistics: A Step-by-Step Approach, Wiley. ISBN 978-1118840313. Siegel, S ...
Wilfrid Dixon
He made notable contributions to nonparametric statistics. A native of Portland, Oregon, Dixon received a bachelor's degree in ... Under supervision of Samuel S. Wilks, he then earned a Ph.D. in mathematical statistics from Princeton in 1944. Dixon was on ... ASA Fellows, Caucus for Women in Statistics, retrieved 2017-10-24 W. J. Dixon Award for Excellence in Statistical Consulting, ...
Chi-squared test
Statistics portal Contingency table Chi-square test nomogram G-test Minimum chi-square estimation Nonparametric statistics The ... Corder, G.W. & Foreman, D.I. (2014). Nonparametric Statistics: A Step-by-Step Approach. Wiley, New York. ISBN 978-1118840313 ... The test statistic T in this instance could be set to be the sum of squares about the sample mean, divided by the nominal value ... One test statistic that follows a chi-squared distribution exactly is the test that the variance of a normally distributed ...
Krippendorff's alpha
Siegel, Sydney & Castella, N. John (1988). Nonparametric Statistics for the Behavioral Sciences, 2nd ed. Boston: McGraw-Hill. ... Naming a statistic as one of agreement, reproducibility, or reliability does not make it a valid index of whether one can rely ... Krippendorff's alpha brings several known statistics under a common umbrella, each of them has its own limitations but no ... Reference manual of the irr package containing the kripp.alpha() function for the platform independent statistics package R The ...
Kendall's W
... is a non-parametric statistic. It is a normalization of the statistic of the Friedman test, and can be used for assessing ... 1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). New York: McGraw-Hill. p. 266. ISBN 0-07-057357-3. ... Corder, G.W., Foreman, D.I. (2009).Nonparametric Statistics for Non-Statisticians: A Step-by-Step Approach Wiley, ISBN 978-0- ... If the test statistic W is 1, then all the survey respondents have been unanimous, and each respondent has assigned the same ...
Ordinal data
1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). Boston: McGraw-Hill. pp. 25-26. ISBN 0-07-057357-3. ... Nonparametric methods have been proposed as the most appropriate procedures for inferential statistics involving ordinal data, ... A correlation r is found between the variables where r lies between -1 and 1. To test the trend, a test statistic: M 2 = ( n − ... Statistics portal List of analyses of categorical data Agresti, Alan (2013). Categorical Data Analysis (3 ed.). Hoboken, New ...
Imprecise Dirichlet process
In probability theory and statistics, the Dirichlet process (DP) is one of the most popular Bayesian nonparametric models. It ... Dirichlet processes are frequently used in Bayesian nonparametric statistics. The Imprecise Dirichlet Process can be employed ... Bayesian nonparametric near-ignorance versions of the following classical nonparametric estimators have been derived: the ... Because of the nonparametric prior near-ignorance, IDP based tests allows us to start the hypothesis test with very weak prior ...
Elżbieta Pleszczyńska
... is a strong advocate of explorative data analysis and non-parametric statistics, like Spearman's rho, ... Elżbieta Pleszczyńska (born 20 March 1933) is a Polish full professor of statistics, activist of disability rights movement. M. ... Lecture Notes of the ICB Seminars Statistics and Clinical Practice. Warszawa: International Center of Biocybernetics, 64-69. ...
Lilliefors test
Conover, W.J. (1999), "Practical nonparametric statistics", 3rd ed. Wiley : New York. US NIST Handbook of Statistics. ... In statistics, the Lilliefors test, named after Hubert Lilliefors, professor of statistics at George Washington University, is ... Just as in the Kolmogorov-Smirnov test, this will be the test statistic. Finally, assess whether the maximum discrepancy is ... Thus the "null distribution" of the test statistic, i.e. its probability distribution assuming the null hypothesis is true, is ...