Perform the diagnostic tests on the BIBD model in Example 13.4.4.

In Example 13.4.4

For a chemical reaction experiment, the blocks arise due to the Batch number, Catalyst of different types from the treatments, and the reaction time is the output. Due to a restriction, all the catalysts cannot be analysed within each batch and hence we need to look at the BIBD model. Using the BIB. test function from the agricolae package, a summary of the ANOVA model related to the BIBD model is obtained.

The computed ANOVA table shows that both the catalyst and the batch have a significant effect on the reaction of the units.

> library (agricolae) >data (reaction) > attach (reaction) > BIB.test (block-Batch, trt=Catalyst, y=Reaction) ANALYSIS BIB: Reaction class level information Block: 1 2 3 4 Trt : 1 2 3 4 Number of observations: 16 Analysis of Variance Table Response: Reaction Df Sum Sq Mean Sq F value Pr (>F) block.unadj 3 55.00 18.3333 28.205 0.001468 ** trt.adj 3 22.75 7.5833 11.667 0.010739 * 5 3.25 0.6500 Residuals --- Signif. codes: 0 *** 0.001 '**' 0.01 coefficient of variation: 1.1 % Reaction Means: 72.5 '*' I 0.05. 0.1 1