Sample size Calculation in Design of Experiments
Keywords:
Effect size, Power of a Test, Type I errorAbstract
Calculation of sample size in experimental research for mean comparison is formulated by using type I error, power of a test (1 - type II error) and effect size (the mean difference divided by the standard deviation). The formula is assigned to the normal population with the standard deviation. It is known and invariant even though the population mean has been changed. This makes it possible to determine the size of the mean difference for which the difference is to be detected (effect size) and the intended risks of type I error (producer’s risk) and type II error (consumer’s risk) can be determined. This formula can be applied effect size by Cohen's suggestions, without prior information acknowledgement of both the mean and standard deviation. Also, the choice of appropriated sample size to detect any mean difference depends on the research budget.
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