An Example. The following example is taken from Searle (1971, pp. 287,375). An experiment was conducted to compare the effects of three different types of fertilizer and four varieties of grain on the weight of grain (WEIGHT). The milligrams of seed planted (MSEED) for each plot were also recorded and used as the covariate. The SPSS commands and data for model 3 are presented in Figure 1.18a, and the analysis of variance tables in Figure 1.18b. Figure 1.18a RUN NAME EMPTY CELLS EXAMPLE FROM SEARLE(1971). COMMENT DATA ARE TAKEN FROM P. 287 AND P. 375. VARIABLE LIST TREATMNT, VARIETY, WEIGHT, MSEED N OF CASES 18 INPUT FORMAT FREEFIELD INPUT MEDIUM CARD MANOVA 7 MN OAONAANNNNEâ > > ee ZAABAKOGNNONUEEBAKA--E- oâ (A S4NOKODOVOBOANOGJOAN I WEIGHT MSEED BY TREATMNT(l1,3), VARIETY(1,4)/ ANALYSIS-WEIGHT / DESIGN < MSEED WITHIN VARIETY BY TREATMNT , VARIETY, TREATMNT, VARIETY BY TREATMNT/ DESIGN <- TREATMNT, VARIETY, VARIETY BY TREATMNT, MSEED WITHIN VARIETY BY TREATMNT/ READ INPUT DATA 8 Figure 1.18b TESTS OF SIGNIFICANCE FOR WEIGHT USING SEOUENTIAL SUMS OF SOUARES SOURCE OF VARIATION SUM OF SOUARES DF MEAN SOUARE WITHINtRESIDUAL 4.30000 3 1.43333 CONSTANT 2178.00000 1 2178.00000 MSEED WITHIN VARIETY BY TREATMNT 92.11472 8 11.51434 VARIETY 5.31810 s 3 1.77270 TREATMNT 36.16611 2 18.08306 VARIETY BY TREATMNT -10107 1 l0l07 TESTS OF SIGNIFICANCE FOR WEIGHT USING SEGUENTIAL SUMS OF SOUARES SOURCE OF VARIATION SUM OF SOUARES DF MEAN SOUARE NITHINHRESIDUAL 4.30000 3 1.43333 CONSTANT 2178.00000 1 2178.00000 TREATMNT 10.50000 2 5.25000 VARIETY 36.78571 3 12.26190 VARIETY BY TREATMNT 34.71429 2 17.35714 T 7.38571 MSEED WITHIN VARIETY BY TREATMNT 51.70000 1.19 Randomized Block Designs In this design the experimental unit is divided into groups (blocks). The main object of this is to keep the experimental errors within each group as smali as possible. The accuracy of the experiment is increased by making comparisons within the resulting relatively homogeneous experimental units. The model for this design is YjsutB Et 7; t ej where B; is the block effect and r; is the treatment effect. F 1519.53488 8.03326 1.23677 12.61609 07051 1519,53488 3.66279 8.55482 12. 10963 5.15282 SIG. OF F SIG. OF F -000 MANOVA 17