BTM8106-8 Week 7 Assignment, calculus homework help

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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.

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