An Analysis Of A Two-way Model With Interaction And No Replication

Author

Dallas E. Johnson, Missouri University of Science and Technology
Franklin A. Graybill

Abstract

In this article the two-way array interaction model with one observation per cell is discussed. The model is given by (Equation presented) Likelihood ratio tests are presented for two hypotheses: (1) no interaction (λ = 0) and (2) equality of treatments (τ1 = τ2 = … = τt). Also maximum likelihood estimators are given for all parameters including σ2 when λ ≠ 0. © Taylor & Francis Group, LLC.

Recommended Citation

D. E. Johnson and F. A. Graybill, "An Analysis Of A Two-way Model With Interaction And No Replication," Journal of the American Statistical Association, vol. 67, no. 340, pp. 862 - 868, Taylor and Francis Group; Taylor and Francis; American Statistical Association, Jan 1972.

The definitive version is available at https://doi.org/10.1080/01621459.1972.10481307

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1537-274X; 0162-1459

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis; American Statistical Association, All rights reserved.

Publication Date

01 Jan 1972