ANS: It is a RCBD because all five houses are assessed by each assessor. The houses are blocks.
ANS: The model is the additive RCBD model
where Yij is the assessed value given by assessor i to house
j, is the overall population mean, is the effect due
to assessor i, is the effect of house j, and
is random error.
where Yij is the assessed value given by assessor i to house j, is the overall population mean, is the effect due to assessor i, is the effect of house j, and is random error.
TUKEYS TEST FOR ADDITIVITY: F STATISTIC: 604E-7 DEGREES OF FREEDOM: 1 7 P-VALUE: 0.994
ANS: The interaction plots show no evidence of interaction, since all line segments profiles are close to parallel. Tukey's test confirms this, as the large p-value shows.
ANS: There is no evidence of a pattern in the plot of studentized residuals versus fitted values. The normal plot has some nonlinearity in both tails, which may indicate some nonnormality.
|Analysis of Variance|
|Source||DF||Sum of Squares||Mean Square||F Stat||Prob > F|
ANS: There appear to be significant differences among assessors (p-value: 0.0001). Blocking appears to be useful (p-value: 0.0001).
General Linear Models Procedure Tukey's Studentized Range (HSD) Test for variable: Y NOTE: This test controls the type I experimentwise error rate. Alpha= 0.05 Confidence= 0.95 df= 8 MSE= 2.816667 Critical Value of Studentized Range= 4.041 Minimum Significant Difference= 3.033 Comparisons significant at the 0.05 level are indicated by '***'. Simultaneous Simultaneous Lower Difference Upper ASSESSOR Confidence Between Confidence Comparison Limit Means Limit 1 - 3 -2.033 1.000 4.033 1 - 2 7.767 10.800 13.833 *** 2 - 3 -12.833 -9.800 -6.767 ***ANS: You want either 1 or 3, since they are essentially equivalent, statistically, and both assess significantly lower than 2, on average. The town manager wants assessments high, so she will want to hire assessor 2.
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