Premium
Some non‐parametric tests for analysing ranked data in multi‐group repeated measures designs
Author(s) -
Katz Barry M.,
McSweeney Maryellen
Publication year - 1983
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1983.tb00770.x
Subject(s) - ranking (information retrieval) , statistic , rank (graph theory) , generalization , mathematics , statistics , test statistic , statement (logic) , set (abstract data type) , statistical hypothesis testing , post hoc , parametric statistics , data mining , computer science , artificial intelligence , combinatorics , medicine , mathematical analysis , dentistry , political science , law , programming language
This paper develops two statistical techniques for analysing ranked data. The first technique can be used in designs in which c independent groups of subjects are asked to rank order p objects with respect to a specified criterion. An explicit statement of a statistic which can be used to determine whether differences in ranking patterns exist between the groups is presented together with associated post hoc procedures. The statistic is a generalization of a technique developed by Hollander & Sethuraman (1978). The second technique developed can be used in designs in which subjects in c independent groups are each asked to rank order a set of p items with respect to a certain criterion under q different conditions of ranking. An explicit statement of a statistic which can be used to test the groups by items by conditions three‐way interaction hypothesis is presented together with an analysis strategy for testing the other effects of interest.