Sample size for detecting significant differences among treatments
Keywords:
Experimental Statistics, Sampling, Scientific Research.Abstract
Sample sizes required for the detection of significant differences among experimental treatments in scientific research are presented. An approach based on the magnitude of the coefficient of determination (R2) among treatments was used. The required sample sizes decrease with increase in R2. For detecting true differences with magnitudes of one standard deviation of the trait, the required sample size are 15 to 5 for R2 ranging from 5% to 70%.
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SNEDECOR, G. W.; COCHRAN, W. G. Statistical methods. 6th ed. Iowa: Iowa State University Press, 1967. 507 p.
STEEL, R. G. D.; TORRIE, J. H. Principles and procedures of statistics. 2th ed. New York: Mc Graw-Hill, 1980. 633 p.
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