Accession Number : AD0272399

Title :   ANALYSIS OF VARIANCE PROCEDURES

Corporate Author : IOWA STATE UNIV IOWA CITY

Personal Author(s) : KEMPTHORNE,O. ; ZYSKIND,G.

Report Date : NOV 1961

Pagination or Media Count : 1

Abstract : Research on analysis of variance procedures is described. A new series of orthogonal maineffect plans is presented, allowing for the testing of (2(s to the nth power -1)/(S-1)) factors each at s levels in 2 s to the nth power observations and two classes of main-effect plans for factors with unequal numbers of levels. Previous work on the analysis of variance is extended by developing general rules for the structure of the analysis of variance and expectations of mean squares for balanced samples from balanced populations which involve nesting crossingAND RANDOM CONFOUNDING. Results of research are given on one class of partially balanced structures, the symmetric Latin cube. Early results are made on an attempt to obtain a general formulation for partially balanced structures, based on orthogonal partitions. The role of covariance structures induced by randomization and the relevance of these to the use of least squares are considered. Some initial work on the power of randomization tests is described. Some preliminary work on constrained randomization is given. (Author)

Descriptors :   *ANALYSIS OF VARIANCE, COMBINATORIAL ANALYSIS, STATISTICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE