SUMMARY OF RECENT WORK ON VARIABLES ACCEPTANCE SAMPLING WITH EMPHASIS ON NON-NORMALITY.
SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS
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Acceptance sampling plans based on the normal distribution have been available since 1955 and before. Yet reports of potential users indicate a general lack of enthusiasm for their application. There is the uncertainty of the assumption of the normal distribution, but the difficulties users have encountered are attributable more to the translation from the standardized deviate to proportion defective than with the probabilities involved. Some possible ways of adjusting for this are discussed. Sampling plans for truncated life tests based on the exponential, normal, lognormal, gamma, Weibull, etc., distributions are also available, as are distribution-free life test plans based on increasing or decreasing failure rate distributions. These are extremely useful and further extensions of these ideas are in the offing. For the normal distribution, plans have been devised which control each tail of the distribution to separate levels. These plans are useful in the very common situation where defectiveness measured on the high side has one kind of effect while defectiveness on the low side has another kind of effect. Again questions on the appropriateness of the normality assumption are raised. A discussion of various ways of meeting this assumption is given. Author
- Statistics and Probability