A Note on Lack-of-Fit Tests for Linear Models Without Replication
A class of three tests—overall lack-of-fit test, between-cluster lack-of-fit test, and within-cluster lack-of-fit test—are proposed for testing the lack of fit of a linear regression model applied to experiments without replicates. The power of the proposed tests is significantly higher than those of the known tests under the situations considered here. The proposed tests are capable of detecting which type of lack of fit is dominant when both between-cluster and within-cluster lack of fit are present.