MINIMAL SUFFICIENT STATISTICS FOR THE GROUP DIVISIBLE PARTIALLY BALANCED INCOMPLETE BLOCK DESIGN (GD-PBIBD) WITH INTERACTION UNDER AN EISENHART MODEL II.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 30, 1970
- Accession Number
- AD0708670
Entities
People
- C. H. Kapadia
- David L. Weeks
Organizations
- Southern Methodist University