Solutions Statistics

Perform a Tukey multiple comparisons procedure and state your conclusions. Fill in the remaining val

Question: Perform a Tukey multiple comparisons procedure and state your conclusions. Fill in the remaining values in the tables below. Here is the data

variant 1	variant 2	variant 3	variant 4
14	20	15	15
15	19	18	13
19	19	13	16
12	17	14	16
10	16	12	14

Table 1

	Variant 1	Variant 2	Variant 3	Variant 4
Sample Means X i (x-bar)	14.0	18.2	14.4	14.8
Sizes of samples (n i )	5	5	5	5

Table 2

Comparison (B vs.A)	Difference (Xbar B -Xbar A )	Standard Error	q	q (α,ν ,k)	Conclusion
2 vs 1	?	?	?	?	?
2 vs 3	?	?	?	?	?
2 vs 4	?	?	?	?	?
4 vs 1	?	?	?	?	?
4 vs 3	?	?	?	?	?
3 vs 1	?	?	?	?	?

What is the rationale for why multiple comparison tests are needed? How does the power of the Tukey test compare to ANOVA and is this an important consideration with these data?

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Solution: The solution consists of 2 pages
Deliverables: Word Document