You ask her what was the experimental unit and were the experimental units randomized. She is...

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Statistics

  1. 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.
  1. 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)  

diet       2 322.83 161.42 4.20550.032819 *

drug       2 811.06 405.53 10.56550.001042 **

diet:drug 4 155.76   38.94 1.01450.427585  

Residuals 17 652.50  38.38                   

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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)  

diet      379.50 2 4.9437 0.020307*

drug      811.06 2 10.5655 0.001042**

diet:drug 155.76 4 1.0145 0.427585  

Residuals 652.5017                   

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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)   

(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   

Residuals      65217                       

---

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__________________?

Answer & Explanation Solved by verified expert
4.4 Ratings (629 Votes)
1a Experimental unit First we need to define what is meant by an experimental unit It may seem trivial but when encountering an experimental situation this critical step is not always obvious Consider a situation where someone wants to evaluate polluted stream water for its effect on fish lesions They set up 2 aquarium each with 50 fish They randomly assign a water treatment polluted vs control to each of the aquariua After 30 days they catch 10 fish from each aquarium and count the number of lesions The treatment design is a singlefactor design with 2 levels of water treatment and a oneway ANOVA can be run on the data But which one is the    See Answer
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