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Carry out a one-way ANOVA by hand to test the following research question: Carl wants to know if drinking beer (2, 5 or 8 beers)

Carry out a one-way ANOVA by hand to test the following research question: Carl wants to

know if drinking beer (2, 5 or 8 beers) affects the number of times people sing karaoke at a local

bar in a given night. He is predicting that the groups will differ significantly ( = .05). (Perform

post-hoc tests if necessary)

2 beers 5 beers 8 beers

1 2 4

2 1 3

1 3 5

3 2 2

Formulas:

SS BG = n (M k - M G ) 2

SS E = (x - M k ) 2

SS T = SS BG + SS E

MS BG = SS BG / df BG

MS E = SS E / df E

F obt = MS BG / MS E

Tukey's HSD Critical Value = q (MS E / n)

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