Procedures for estimating the composition of a fixed population from a small sample are often required but generally are not available in ordinary statistical texts. This paper considers the even more unique case where a particular condition is observed for all members of a sample. Formulas for estimating sample size and population composition are given.
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References
1.
FrawleyW. H.KapadiaC. H.RaoJ. N. K., & OwenD. B.Tolerance limits based on range and mean range. Technometrics, 1971, 13, 651–656.
2.
GockaE. F.Tolerance intervals vs. confidence intervals. Technical Report, Predictive and Evaluative Models Research Lab., VA Hospital, Sepulveda, October, 1972.
3.
KatzL.Confidence intervals for the number showing a certain characteristic in a population when sampling is without replacement. J. Amer. Statist. Assn, 1953, 48, 256–261.
4.
LiebermanG. J., & OwenD. B.Tables of the hypergeometric probability distribution. Stanford: Stanford Univer. Press, 1961.
5.
NatrellaN. G.Experimental statistics. Washington, D. C.: National Bureau of Standards, 1963. (Handbook 91, Aug. 1)
6.
OwenD. B.Handbook of statistical tables. Reading, Mass.: Addison-Wesley, 1962.
7.
OwenD. B.Control of percentage in both tails of the normal distribution. Technometrics, 1964, 6, 377–388.
8.
OwenD. B.GilbertE. J.SteckG. P., & YoungD. A.A formula for determining sample size in hypergeometric sampling when zero defectives are observed in the sample. Sandia Corp. Tech. Memo., SCTM-178-59(51) June, 1959.
9.
WilksS. S.Determination of sample sizes for setting tolerance limits. Ann. math. Statist., 1941, 12, 91–96.
10.
WilksS. S.Statistical prediction with special reference to the problem of tolerance limits. Ann. math. Statist., 1942, 13, 499–509.
