Question

The following ANOVA table is from a multiple regression analysis:

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MS F Source Regression Error Total df 5 25 SS 2000 2500 The observed F value is __ O 20 O 400 O 2000 O 500 O 10

Answer 1

To complete the given ANOVA table we use following formulae:

Total SS = Regression SS + Error SS

Hence, Error SS = Total SS - Regression SS = 2500 - 2000 = 500

$MSS=\frac{SS}{df}$

Regression MSS = 2000/5 = 400

Error SS = 500 / 25 = 20

$F=\frac{RegressionMSS}{ErrorMSS}=\frac{400}{20}=20$

ANOVA TABLE

Source	df	SS	MSS	F
Regression	5	2000	400	20
Error	25	500	20	-
Total	30	2500	-	-

The observed F-value is 20.

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