Sequential tests of linear hypotheses in the systematic linear model are studied. Methods of overcoming difficulties in the construction of tests when there is a random model are considered.
N. L. Johnson. "Some Notes on the Application of Sequential Methods in the Analysis of Variance." Ann. Math. Statist. 24 (4) 614 - 623, December, 1953. https://doi.org/10.1214/aoms/1177728917