One-Way ANOVAIllustration 11.1 Salesmen Training

ANOVA TableInst 1 Inst 2 Inst 3 Alpha

1 67 73 61 5%2 70 68 64 Source SS df MS F Result3 65 73 64 Between columns 70 2 35 3.8182 3.8853 0.0521 cannot reject4 71 70 67 Within Columns 110 12 9.166675 72 66 69 Total 180 14

Fcritical p-value

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ANOVAExample 11.1 Telecom Players

ANOVA TableC1 C2 C3 C4 C5 Alpha

1 6 6 2 5 5%2 7 6 2 3 Source SS df MS F Result3 7 6 6 4 Columns 25.25 3 8.42 4.66 3.86 0.0313 Reject4 7 8 7 4 Rows 10.25 3 3.42 1.89 3.86 0.2014 cannot reject

Error 16.25 9 1.81Total 51.75 15

Fcritical p-value

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ANOVAExample 11.2 (Milage car and tyre brands)

ANOVA TableA B C D Alpha

1 32 30 34 36 5%31 29 33 38 Source SS df MS F Result33 28 36 39 Columns 499.40 3 166.47 105.60 2.87 0.0000 Reject31 30 35 40 Rows 338.67 2 169.33 107.42 3.26 0.0000 Reject

Interaction 199.67 6 33.28 21.11 2.36 0.0000 RejectError 56.75 36 1.58Total 1,094.48 47

2 38 39 40 4137 40 41 3938 41 42 4039 39 43 42

3 32 33 40 4530 32 42 4331 30 41 4233 31 40 46

Fcritical p-value

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One WayTwo WayTwo Way with interaction