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A researcher calculated the ANOVA summary table for an experiment, but accidenta

ID: 1947112 • Letter: A

Question

A researcher calculated the ANOVA summary table for an experiment, but accidentally spilled grape juice over the first line of the output. From the data below, calculate the F test value.

Source

Sum of Squares

d. f.

Mean Square

F

Between

Within (error)

141

59

2.39

Total

196

65

A) F = 1.39 B) F = 3.84 C) F = 0.91 D) F = 2.61

A researcher calculated the ANOVA summary table for an experiment, but accidentally spilled grape juice over the first line of the output. From the data below, calculate the F test value.

Source

Sum of Squares

d. f.

Mean Square

F

Between

Within (error)

141

59

2.39

Total

196

65

A) F = 1.39 B) F = 3.84 C) F = 0.91 D) F = 2.61

Explanation / Answer

ans) B) F = 3.84 SStotal = SSwithin + SSbetween 196 = 141 + SSb SSb = 196 - 141 = 55 d.f. total = d.f. within + d.f. between 65 = 59 + d.f.between d.f. between = 65-59 = 6 MSbetween = SSbetween/d.f. between = 55/6 = 9.16667 F = MSbetween / MSwithin = 9.16667 / 2.39 = 3.84

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