http://manuals.pqstat.pl/ 2026-04-30T16:22:13+00:00 http://manuals.pqstat.pl/ http://manuals.pqstat.pl/lib/tpl/dokuwiki/images/favicon.ico text/html 2022-02-13T17:25:05+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:anova_chipl The Chi-square test for multidimensional contingency tables Basic assumptions: * measurement on a nominal scale - any order is not taken into account, * an independent model, * large expected frequencies (according to the Cochran interpretation (1952). Hypotheses: where: and observed frequencies in a contingency table and the corresponding text/html 2022-02-13T16:42:38+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:anova_friepl The Friedman ANOVA The Friedman repeated measures analysis of variance by ranks -- the Friedman ANOVA - was described by Friedman (1937). This test is used when the measurements of an analysed variable are made several times () each time in different conditions. It is also used when we have rankings coming from different sources (form different judges) and concerning a few ( text/html 2022-12-03T17:07:40+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:anova_kwpl The Kruskal-Wallis ANOVA The Kruskal-Wallis one-way analysis of variance by ranks (Kruskal 1952 ; Kruskal and Wallis 1952 ) is an extension of the U-Mann-Whitney test on more than two populations. This test is used to verify the hypothesis that there is no shift in the compared distributions, i.e., most often the insignificant differences between medians of the analysed variable in ( text/html 2022-02-13T17:35:07+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:anova_qcochrpl The Q-Cochran ANOVA The Q-Cochran analysis of variance, based on the Q-Cochran test, is described by Cochran (1950). This test is an extended McNemar test for dependent groups. It is used in hypothesis verification about symmetry between several measurements text/html 2022-02-13T16:20:23+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:conovervar The Conover ranks test of variance Conover squared ranks test is used, similarly to Fisher-Snedecor test (for ), Levene test and Brown-Forsythe test (for ) to verify the hypothesis of similar variation of the tested variable in several populations. It is the non-parametric counterpart of the tests indicated above, by that it does not assume normality of the data distribution and is based on the ranks text/html 2022-02-13T17:12:03+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:durbinpl The Durbin's ANOVA (missing data) Durbin's analysis of variance of repeated measurements for ranks was proposed by Durbin (1951). This test is used when measurements of the variable under study are made several times -- a similar situation in which text/html 2022-07-14T12:05:41+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:j_terpstrpl The Jonckheere-Terpstra test for trend The Jonckheere-Terpstra test for ordered alternatives described independently by Jonckheere (1954) an be calculated in the same situation as the Kruskal-Wallis ANOVA , as it is based on the same assumptions. The Jonckheere-Terpstra test, however, captures the alternative hypothesis differently - indicating in it the existence of a trend for successive populations. text/html 2022-02-13T16:47:05+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:pagepl The Page test for trend The Page test for ordered alternative described in 1963 by Page E. B. can be computed in the same situation as Friedman's ANOVA, since it is based on the same assumptions. However, Page's test captures the alternative hypothesis differently - indicating that there is a trend in subsequent measurements. text/html 2022-02-13T17:19:11+00:00 Anonymous (anonymous@undisclosed.example.com) http://manuals.pqstat.pl/en:statpqpl:porown3grpl:nparpl:skillings_mpl The Skillings-Mack ANOVA (missing data) The analysis of variance of repeated measures for Skillings-Mack ranks was proposed by Skillings and Mack in 1981 . t is a test that can be used when there are missing data, but the missing data need not occur in any particular setting. However, each site must have at least two observations. If there are no tied ranks and no gaps are present it is the same as the