> orange.rsm1 <- lm(y2 ~ x1+x2+x3+x11+x22+x33+x12+x13+x23+block1+block2) > summary(orange.rsm1) Call: lm(formula = y2 ~ x1 + x2 + x3 + x11 + x22 + x33 + x12 + x13 + x23 + block1 + block2) Residuals: Min 1Q Median 3Q Max -13.4608 -4.7507 0.0618 5.8101 9.8099 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 80.4006 203.7150 0.395 0.703398 x1 49.5912 10.7830 4.599 0.001758 ** x2 -2106.4948 366.3190 -5.750 0.000429 *** x3 119.0082 20.5177 5.800 0.000405 *** x11 0.1287 0.2322 0.554 0.594488 x22 480.4509 294.0095 1.634 0.140872 x33 -3.3939 0.7106 -4.776 0.001398 ** x12 37.5000 10.4608 3.585 0.007138 ** x13 -3.7679 0.5230 -7.204 9.21e-05 *** x23 150.6250 18.3064 8.228 3.57e-05 *** block1 -88.3570 5.5932 -15.797 2.58e-07 *** block2 10.6430 5.5932 1.903 0.093560 . --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 10.36 on 8 degrees of freedom Multiple R-squared: 0.9969, Adjusted R-squared: 0.9927 F-statistic: 235.5 on 11 and 8 DF, p-value: 8.441e-09 > > orange.rsm2 <- lm(y2 ~ x1+x2+x3+x11+x22+x33+x12+x13+x23) > summary(orange.rsm2) Call: lm(formula = y2 ~ x1 + x2 + x3 + x11 + x22 + x33 + x12 + x13 + x23) Residuals: Min 1Q Median 3Q Max -75.77 -55.74 23.58 30.48 41.23 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 50.8028 1204.5638 0.042 0.967 x1 49.6119 63.7699 0.778 0.455 x2 -2074.6266 2166.2560 -0.958 0.361 x3 119.0091 121.3401 0.981 0.350 x11 0.1281 1.3732 0.093 0.928 x22 440.6156 1738.5094 0.253 0.805 x33 -3.3939 4.2025 -0.808 0.438 x12 37.5000 61.8642 0.606 0.558 x13 -3.7679 3.0932 -1.218 0.251 x23 150.6250 108.2623 1.391 0.194 Residual standard error: 61.24 on 10 degrees of freedom Multiple R-squared: 0.8654, Adjusted R-squared: 0.7442 F-statistic: 7.143 on 9 and 10 DF, p-value: 0.002496 > > anova(orange.rsm1,orange.rsm2) Analysis of Variance Table Model 1: y2 ~ x1 + x2 + x3 + x11 + x22 + x33 + x12 + x13 + x23 + block1 + block2 Model 2: y2 ~ x1 + x2 + x3 + x11 + x22 + x33 + x12 + x13 + x23 Res.Df RSS Df Sum of Sq F Pr(>F) 1 8 858 2 10 37506 -2 -36648 170.87 2.738e-07 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1