Assume that the result is a sample size beyond what you can

Question

1. Calculate the sample size needed given these factors:

• one-tailed t-test with two independent groups of equal size
• small effect size (see Piasta, S.B., & Justice, L.M., 2010)
• alpha =.05
• beta = .2
• Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample half the size. Indicate the resulting alpha and beta. Present an argument that your study is worth doing with the smaller sample.

2. Calculate the sample size needed given these factors:

• ANOVA (fixed effects, omnibus, one-way)
• small effect size
• alpha =.05
• beta = .2
• 3 groups
• Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample approximately half the size. Give your rationale for your selected beta/alpha ratio. Indicate the resulting alpha and beta. Give an argument that your study is worth doing with the smaller sample.

3. In a few sentences, describe two designs that can address your research question. The designs must involve two different statistical analyses. For each design, specify and justify each of the four factors and calculate the estimated sample size you'll need. Give reasons for any parameters you need to specify for G*Power.

Include peer-reviewed journal articles as needed to support your responses to Part 1 above.

Support your paper with a minimum of 5 resources. In addition to these specified resources, other appropriate scholarly resources, including older articles, may be included.

Length: 5-7 pages not including title and reference pages

References: Minimum of 5 scholarly resources.

Answer 1

Complete in approximately 4 to 5 pages word document, the following ANOVA problem. Remember that the reference page not included in the required page length. You can add a minimum of 5 academic resources all along with appropriate scholarly resources, comprising older articles etc. Compute the sample size required for the given factors: a) ANOVA (fixed effects, omnibus, one-way) b) Small effect size c) alpha =.05 and beta = .2 d) 3 groups Suppose that the outcome is a sample size ahead of what you can obtain. Make use of the compromise function to calculate alpha and beta for the sample approximately half the size. Provide your rationale for your chosen beta/alpha ratio. Point out the resultant alpha and beta. Write an argument which your study is worth doing by means of the smaller sample.