Write the hypothesis of interest using results shown above

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Reference no: EM13472284

An experiment was conducted to compare the effectiveness of five treatments.  Subjects were matched with respect to a relevant variable and assigned randomly to the treatments. Seven sets of matched subjects, i.e., blocks, with five subjects in each matched set were obtained. The subjects in each set were assigned randomly to the treatments. After a given period, scores on an outcome measure were obtained.  The ANOVA table is given below.

Dependent Variable: score

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Corrected Model

93.543(a)

10

9.354

3.271

.008

Intercept

2036.829

1

2036.829

712.296

.000

Treat

38.171

4

9.543

3.337

.026

Block

55.371

6

9.229

3.227

.018

Error

68.629

24

2.860

 

 

Total

2199.000

35

 

 

 

Corrected Total

162.171

34

 

 

 

a  R Squared = .577 (Adjusted R Squared = .400)

(a) What type of design was used in this analysis?

(b) State the hypothesis of interest. Using the results shown above, state your conclusions. 

(c) Reconstruct the ANOVA table as if you had ignored the matching variable, i.e., Block, and carried out a one-way ANOVA. 

(b) Based on your table in (b), what would you conclude about the relative effectiveness of the treatments?  Explain.

(c) Given your findings in (b) and (c), was matching effective?  Explain.

Reference no: EM13472284

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