Accession Number : AD0708670

Title :   MINIMAL SUFFICIENT STATISTICS FOR THE GROUP DIVISIBLE PARTIALLY BALANCED INCOMPLETE BLOCK DESIGN (GD-PBIBD) WITH INTERACTION UNDER AN EISENHART MODEL II.

Descriptive Note : Technical rept.,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Kapadia,C. H. ; Weeks,David L.

Report Date : 30 MAY 1970

Pagination or Media Count : 20

Abstract : The paper exhibits a set of minimal sufficient statistics together with the distribution of each statistic in the set for the group divisible partially balanced incomplete block design with p replications per cell under the assumption that there is an Eisenhart Model 2 with interaction. The Rao- Blackwell theorem states that, if a minimum variance unbiased estimator exists, it must be an explicit function of the minimal sufficient statistics. It will be shown that the family of joint distributions of the minimal sufficient statistics is not complete, and so the question of existence of uniform minimum variance unbiased estimators is yet to be solved. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, DECISION THEORY), COMBINATORIAL ANALYSIS, STATISTICAL DISTRIBUTIONS, MATRICES(MATHEMATICS), MATHEMATICAL MODELS, ANALYSIS OF VARIANCE, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE