Minimal Sufficient Statistics for Incomplete Block Designs With Interaction Under an Eisenhart Model III

Creator(s)

C. H. Kapadia, Southern Methodist University
Alan H. Kvanli, University of North Texas
Kwan R. Lee, East Tennessee State University

Document Type

Article

Publication Date

1-1-1988

Description

The purpose of this paper is to derive minimal sufficient statistics for the balanced incomplete block design and the group divisible partially balanced incomplete block design when the Eisenhart Model III (mixed model) is assumed. The results are identical to Hultquist and Graybill's (1965) and Hirotsu's (1965) for the same model without interaction, except for the addition of a statistic, ∑ijY2ij•.

Citation Information

Kapadia, C. H.; Kvanli, Alan H.; and Lee, Kwan R.. 1988. Minimal Sufficient Statistics for Incomplete Block Designs With Interaction Under an Eisenhart Model III. Journal of Statistical Planning and Inference. Vol.19(3). 317-324. https://doi.org/10.1016/0378-3758(88)90039-0 ISSN: 0378-3758