Question

Power and sample size determination for one-way ANOVA 1. If µ1 = 12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the power of the test when n1 = 2, n2 = 3, n3 = 3 and n4 = 2 and a = .05? 2. If µ1 = 12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the power of the test when n1 = n2 = n3 = n4 = 5 and a = .01? 3. In a one-way ANOVA k = 5, a = .01, b =.10 and and equal sample sizes are desired. a). What are the required samples sizes if D = 10, 15, 20 and 30? What generalization is suggested by your results? b) What are the required sample sizes for the same values of as in part 1 if ? How do these sample sizes compare to the ones in part 1? 4. In a one-way ANOVA k = 4, a = .05, b =.10 and D = 50; and equal sample sizes are desired. a) What are the required samples sizes if se = 50, 25,and 20? What generalization is suggested by your results? b). What are the required sample sizes for the same values of se as in part 1 if k = 5? How do these sample sizes compare to the ones in part 1? 5. In a oneway ANOVA with 3 treatment levels, a reasonable estimate of the standard deviation is 3.0. a) What would be the required sample size if: (1) the desired power is .90 or greater when the range of treatment means is 4.5 and (2) a = .05? b) If the sample size determined in part 1 is used what would be the minimum power of the test (using a = .05) when the range of the treatment means is 6.0?

Answer #1

Practice Exercise 13: One -way Analysis of Variance (ANOVA)
1. When is it appropriate to use a one-way ANOVA to analyze
data?
2. What letter is use the designate the test statistic used in
the one-way ANOVA?
3. What are the two types of variance that are examined when
conducting an analysis of variance?
4. Which type of variance is related to the effect of a
treatment?
5. Does the analysis of variance test differences between two
specific groups?
Use...

Item 1
In the case below, the original source material is given along
with a sample of student work. Determine the type of plagiarism by
clicking the appropriate radio button.
Original Source Material
Student Version
There is a desperate need for theorists and researchers
to generate and refine a new breed of learning-focused
instructional design theoriesthat help educators and
trainers to meet those needs, (i.e., that focus on learning and
that foster development of initiative, teamwork, thinking
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