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Define the total sum of square in single factor ANOVA.

A realtor needs to compare the average sales-to-appraisal ratios of residential properties sold in four neighbourhoods (A, B, C, and D). Four properties are arbitrarily selected from each neighbourhood and the ratios recorded for each as follows:

A

B

C

D

1.2

2.5

1.0

0.8

1.1

2.1

1.5

1.3

0.9

1.9

1.1

1.1

0.4

1.6

1.3

0.7

The ANOVA summary (partial results) is as follows:

SUMMARY

Groups

Count

Sum

Average

Variance

A

4

3.6

0.900

0.127

B

4

8.1

2.025

0.142

C

4

4.9

1.225

0.049

D

4

3.9

0.975

0.076

 

ANOVA

Source of Variation

SS

df

MS

P-value

F crit

Between Groups

3.182

3

1.061

0.001

3.490

Within Groups

1.183

12

0.099

 

 

What is the entire sum of squares?

(Finish the ANOVA table prior to answering.)

1) 3.182

2) 1.183

3) 4.365

4) None of the above

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M920329

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