Accession Number : AD0717931

Title :   Generally Usable Sequential Randomization Tests for Two-Way ANOVA That Emphasize the More Recent Data.

Descriptive Note : Technical rept.,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Walsh,John E.

Report Date : 01 OCT 1970

Pagination or Media Count : 29

Abstract : The data are independent observations from two or more sources. Under the null hypothesis, observations from the same source have the same (arbitrary) distribution. Observations are obtained in successive groups each containing a set of specified size from each source (with a stated maximum total available from each source). An overall test is a succession of subtests with significance when at least one subtest is significant. All observations are re-used until a specified number of groups occur. Then, independently for each source, a stated number of the observations from a source are chosen by randomization (all possibilities equally likely). Data for re-use are now the group of observations chosen by the randomizations and newly obtained groups. Additional groups are taken until the number for re-use reaches a given value. Then, independently for each source, a stated number of the observations in these groups from a source are chosen by randomization. The resulting group is the data for re-use at this stage. Additional new groups are taken, etc. Exact null probabilities are obtainable, through use of appropriate randomization models and special kinds of subtest statistics. The overall test ends when a significant subtest occurs (thus saving time and expense). Some possible uses in quality control are outlined. (Author)

Descriptors :   (*ANALYSIS OF VARIANCE, *STATISTICAL TESTS), SEQUENTIAL ANALYSIS, COMBINATORIAL ANALYSIS, QUALITY CONTROL, RELIABILITY, PERMUTATIONS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE