- You ask her what was the experimental unit and were theexperimental units randomized. She is unfamiliar with theseconcepts. Please explain experimental unit and the need forrandomization of the experimental units to the treatmentcombinations to her.
- You decide to analyze the experiment as a 3 X 3 factorialarrangement using a completely randomized design and obtain thefollowing ANOVA tables.
Analysis of Variance Table
Response: diastolic
         Df Sum SqMean Sq F value  Pr(>F) Â
diet      2 322.83 161.42 4.20550.032819 *
drug      2 811.06 405.53 10.56550.001042 **
diet:drug 4 155.76Â Â 38.94 1.01450.427585Â Â
Residuals 17 652.50Â Â 38.38Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’1
Anova Table (Type II tests)
Response: diastolic
         Sum Sq DfF value  Pr(>F) Â
diet     379.50 2 4.9437 0.020307*
drug     811.06 2 10.5655 0.001042**
diet:drug 155.76 4 1.0145 0.427585Â Â
Residuals 652.5017Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’1
Anova Table (Type III tests)
Response: diastolic
           Sum Sq Df  F value   Pr(>F)  Â
(Intercept) 185050 1 4821.2144 < 2.2e-16 ***
diet          375 2   4.8838 0.021093 *
drug          796 2  10.3735 0.001136 **
diet:drug     156 4   1.0145 0.427585  Â
Residuals     65217                      Â
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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’1
a. For this analysis, which of the SS methods would youchoose? Explain why?
b. The lack of a sign diet X drug interaction indicates__________________?