Two BASIC programs are described. The first program calculates the sample size per treatment group (n) required to achieve the desired power in any fixed effect ANOVA design. The second program calculates the power to five decimal accuracy when df1, df2, alpha, and phi are provided, and can be used to determine the power that will result when an investigator uses some arbitrary sample size.
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References
1.
Alfagrafics . (1982). Statistics programs for the PC-2 pocket computer. San Diego, CA: Author.
2.
Guenther, W. C. (1964). Analysis of variance. Englewood Cliffs, NJ: Prentice-Hall.
3.
Guenther, W. C. (1978). Evaluation of probabilities for the noncentral distributions and the difference of two t-variables with a desk calculator. Journal of Statistical Computation and Simulation, 6, 199-206.
4.
Hastings, C., Jr. (1955). Approximations for digital computers. Princeton: Princeton University Press.
5.
Hetter, R. D. (1977). Power tables for the analysis of variance. Unpublished master's thesis. San Diego State University, San Diego, CA.
6.
Keppel, G. (1982). Design and analysis: A researcher's handbook (2nd ed.). Englewood Cliffs, NJ: Prentice-Hall.
7.
Laubscher, N. F. (1960). Normalizing the noncentral t and F distributions. Annals of Mathematical Statistics, 31, 1105-1112.
8.
Myers, J. L. (1979). Fundamentals of experimental design (3rd ed.). Boston: Allyn and Bacon.
9.
Paulson, E. (1942). An approximate normalization of the analysis of variance distribution. Annals of Mathematical Statistics, 13, 233-235.
10.
Tang, P. C. (1938). The power function of the analysis of variance tests with tables and illustrations of their use. Statistical Research Memoirs, 2, 126-149.
11.
Tiku, M. L. (1967). Tables of the power of the F-test. American Statistical Association Journal, 62, 525-539.
12.
Winer, B. J. (1971). Statistical principles in experimental design (2nd ed.). New York: McGraw-Hill.