Printout of Latin Square Data 1 12:34 Wednesday, October 22, 2003 Obs row column trt yield 1 1 4 a 1.345 2 1 1 b 1.640 3 1 3 c 1.425 4 1 2 d 1.210 5 2 2 a 1.185 6 2 4 b 1.290 7 2 1 c 1.475 8 2 3 d 1.400 9 3 1 a 1.670 10 3 3 b 1.665 11 3 2 c 0.710 12 3 4 d 1.180 13 4 3 a 1.655 14 4 2 b 1.290 15 4 4 c 0.660 16 4 1 d 1.565 ANOVA of a single Latin Square 2 12:34 Wednesday, October 22, 2003 The ANOVA Procedure Class Level Information Class Levels Values row 4 1 2 3 4 column 4 1 2 3 4 trt 4 a b c d Number of observations 16 ANOVA of a single Latin Square 3 12:34 Wednesday, October 22, 2003 The ANOVA Procedure Dependent Variable: yield Sum of Source DF Squares Mean Square F Value Pr > F Model 9 1.28433906 0.14270434 6.61 0.0161 Error 6 0.12958438 0.02159740 Corrected Total 15 1.41392344 R-Square Coeff Var Root MSE yield Mean 0.908351 11.00570 0.146961 1.335313 Source DF Anova SS Mean Square F Value Pr > F row 3 0.03015469 0.01005156 0.47 0.7170 column 3 0.82734219 0.27578073 12.77 0.0051 trt 3 0.42684219 0.14228073 6.59 0.0251 ANOVA of a single Latin Square 4 12:34 Wednesday, October 22, 2003 The ANOVA Procedure t Tests (LSD) for yield NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate. Alpha 0.05 Error Degrees of Freedom 6 Error Mean Square 0.021597 Critical Value of t 2.44691 Least Significant Difference 0.2543 Means with the same letter are not significantly different. t Grouping Mean N trt A 1.4713 4 b A A 1.4638 4 a A A 1.3388 4 d B 1.0675 4 c