The concepts of alpha error, beta error, power and alternative hypotheses are first developed for a simple percentage problem in market research. These concepts are then used to explain the method of calculating sample size in the multi-cell case using the non-central Chi-Square distribution. The development is by means of an advertising research problem for delineating “different” geographical trading areas and the sample size necessary to detect differences of given magnitudes.
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References
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DixonW. J., and MasseyF. J.Jr., Introduction to Statistical Analysis, New York: McGraw-Hill Book Co., 1957. Table 17–2, p. 283.
2.
FixEvelyn, Tables of Non-Central χ2Berkeley: University of California Publications in Statistics, Vol. 1, No. 2, 1949.
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PatnaikP. B., “The Non-Central χ2—and F—Distributions and Their Applications,”Biometrika, 37(June 1949), 202–232.
