공업통계분야에서 동등성 검정 및 그 응용 = Equivalence testing and its applications in industry

다국어 초록 (Multilingual Abstract)

As more and more data are collected one may ask whether the data collected within a short period of time are same. In this case traditional hypothesis testing of H0:μ1=μ2 VS H1:μ1≠μ2is used to determine whether the data are same when there is no knowledge about equivalence testing. However, this type of hypothesis testing has the undesirable property of penalizing higher precision. So TOST is to be performed in the event of equivalence testing. In this study equivalence testing is introduced where one can find the applications in industry. Traditional two sample t testing is to be compared with the equivalent testing and the procedure to perform the equivalence testing is to be presented along with an example. Finally equivalence testing in terms of the other parameters such as variance, proportion or failure rate is to be sought.

참고문헌 (Reference)

1 Hauck, W., "Type of Bioequivalence and Related Statistical Considerations" 30 : 181-187, 1992

2 Westlake, W.J., "Symmetric Confidence Intervals for Bioequivalence Trials" 32 : 741-744, 1976

3 Stein, J, "Sample Size Consideration for Assessing the Equivalence of Two Process Means" 105-110, 2000

4 Westlake, W.J., "Response to T.B.L. Kirkwood: Bioequivalence Testing-A Need to Rethink" 37 : 589-594, 1981

5 Rogers, J.L., "Psychological Bulletin" 113 : 553-565, 1993

6 Schuirmann, D.J., "On Hypothesis Testing to Determine if the Mean of a Normal Distribution is Contained in a Known Interval" 37 : 617-, 1981

7 Allen I.E, "Different, Equivalent or Both?" 77-79, 2006

8 Roy, T., "Calibrated Nonparametric Confidence Sets" 21 : 103-109, 1997

9 Metzler, C. M., "Bioavailability. A Problem in Equivalence" 30 : 309-317, 1974

10 Lamprecht, J.L., "Applied Analysis for Process Improvement" ASQ Quality Press 2005

11 Schuirmann, D.J., "A Comparison of the Two Onesided Tests Procedure and the Power Approach for Assessing the Equivalence of Average Bioavailability" 15 : 657-680, 1987