• 제목/요약/키워드: equivalence testing

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

  • 백재욱
    • 품질경영학회지
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    • 제36권4호
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    • pp.1-6
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    • 2008
  • 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 $H_o:{\mu}_1={\mu}_2$ vs $H_1:{\mu}_1{\neq}{\mu}_2$ 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.

Probability of Rejection Curve for Equivalence Testing Procedure

  • Sung, Nae Kyung
    • 품질경영학회지
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    • 제22권4호
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    • pp.102-110
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    • 1994
  • We investigate the small-sample behavior of the probability of rejection curves and its performance for a equivalence testing procedure based on confidence intervals which was developed with a motivation from bioequivalence studies. This type of equivalence studies are conducted frequently in pharmaceutical industries to compare the relative bioavailabilty of two formulations of a drug and can be applied various fields where assurance of quality equivalence is needed. From the Monte-Carlo simulation results we suggest proper sample sizes for the equivalence testing procedure.

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Equivalence Testing as an Alternative to Significance Testing

  • Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
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    • 제23권1호
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    • pp.199-206
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    • 1994
  • Sometimes a researcher with a view of conventional significance testing rejects his/her hypothesis, even through it could have not been rejected with a smaller sample. This can be a logical dilemma for a researcher who wants to "prove" a hypothesis rather than to show discrepancy from a null hypothesis. In this study, a new testing paradigm called equivalence testing via confidence interval will be developed so that it is suitable for the purpose of statistical proof.cal proof.

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동등성 시험을 신뢰구간을 사용하여 검정하는 경우 왜 신뢰도 90%인 신뢰구간을 사용하는가? (Why is 90% Confidence Interval Used When Confidence Interval Approach is Used for Testing Equivalence?)

  • 강승호
    • 응용통계연구
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    • 제21권5호
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    • pp.867-873
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    • 2008
  • 임상시험의 자료에 대하여 통계적 검정을 실시하는 경우 유의수준 5%를 사용하는 것이 관례이다. 하지만 동등성 시험을 신뢰구간을 사용하여 검정하는 경우, 신뢰도 90%인 신뢰구간이 사용되고 있다. 흔히 신뢰도 $1-{\alpha}$인 신뢰구간을 검정에 사용하는 경우, 그 검정법의 유의수준은 ${\alpha}$이다. 이 때문에 동등성 검정에서 신뢰도 90%인 신뢰구간을 사용하게 되면, 유의수준은 10%가 되는 것이 아닌가 하는 혼란을 일으켰다. 본 논문에서는 이와 관련된 이슈들을 관련 문헌의 검토와 시뮬레이션을 통하여 명확하게 하여, 제약회사, CRO, 대학병원 등에 종사하는 통계전문가들에게 도움을 주고자 한다.

A Goneral Procedure for Testing Equivalence

  • Sung Nae Kyung
    • Communications for Statistical Applications and Methods
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    • 제5권2호
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    • pp.491-501
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    • 1998
  • Motivated by bioequivalence studies which involve comparisons of pharmaceutically equivalent dosage forms, we propose a more general decision rule for showing equivalence simultaneously between multiple means and a control mean. Namely, this testing procedure is concerned with the situation in that one must make decisions as to the bioequivalence of an original drug product and several generic formulations of that drug. This general test is developed by considering a spherical confidence region, which is a direct extension of the usual t-based confidence interval rule formally approved by the U.S. Food and Drug Administration. We characterize the test by the probability of rejection curves and assess its performance via Monte-Carlo simulation. Since the manufacturer's main concern is the proper choice of sample sizes, we provide optimal sample sizes from the Monte-Carlo simulation results. We also consider an application of the generalized equivalence test to a repeated measures design.

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Measurement Issues across Different Cultures

  • Lee, Ju-Hee;Jung, Duk-Yoo
    • 대한간호학회지
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    • 제36권8호
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    • pp.1295-1300
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    • 2006
  • Purpose. The purposes of this methodologic paper are to (1) describe theoretical background in conducting research across different cultures; (2) address measurement issues related to instrument administration; and (3) provide strategies to deal with measurement issues. Methods. A thorough review of the literature was conducted. A theoretical background is provided, and examples of administering instrument in studies are described. Results. When applying an instrument to different cultures, both equivalence and bias need to be established. Three levels of equivalence, i.e., construct equivalence, measurement unit equivalence, and full score comparability, need to be explained to maintain the same concept being measured. In this paper, sources of bias in construct, method, and item are discussed. Issues related to instrument administration in a cross-cultural study are described. Conclusion. Researchers need to acknowledge various group differences in concept and/or language that include a specific set of symbols and norms. There is a need to question the philosophical and conceptual appropriateness of an assessment measure that has been conceptualized and operationalized in a different culture. Additionally, testing different response formats such as narrowing response range can be considered to reduce bias.

KOLAS 교정기관의 측정동등성 확립을 위한 물유량 숙련도 시험 (Proficiency Test of Water Flow Rate for Measurement Equivalence Among KOLAS Accredited Laboratories)

  • 전세종;윤병로;김수진
    • 대한기계학회논문집 C: 기술과 교육
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    • 제5권2호
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    • pp.105-113
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    • 2017
  • 한국인정기구(KOLAS)는 아시아태평양인정협의체(APLAC)에 소속되어 있으며, 측정 결과를 SI 단위로 소급하고 이를 유지시키기 위해 교정기관 인정제도를 운영하고 있다. 2016 년 6 월 현재, 22 개의 기관이 KOLAS 물유량 분야 교정기관으로 지정되어 있다. 이 중 12 개 KOLAS 교정기관들이 한국계량측정협회(KASTO)가 2015 년에 주관한 물유량 숙련도 시험(PM2015-08)에 참가했다. 이번 숙련도 시험은 KOLAS 교정기관들의 교정측정능력(CMC)을 고려하여 3 가지의 유량 범위($3.6m^3/h{\sim}12m^3/h$, $40m^3/h{\sim}80m^3/h$, $40m3/h{\sim}200m^3/h$)에서 실시되었다. 숙련도 시험의 목적은 참가기관들의 CMC 가 기준시험소(KRISS)의 CMC 와 비교하여 측정동등성이 성립하는지 여부를 판단하기 위한 것이다. 측정동등성은 측정동등성지수(number of equivalence; $E_n$)를 산출하여 평가했다. ${\mid}E_n{\mid}$ < 1 일 때, 측정동등성이 확립된다고 판단했다. 이번 시험에서 12 개 KOLAS 교정기관 모두 기준시험소와 측정동등성이 성립함을 확인했다.

A Boolean Equivalence Testing Algorithm based on a Derivational Method

  • Moon, Gyo-Sik
    • Journal of Electrical Engineering and information Science
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    • 제2권5호
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    • pp.1-8
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    • 1997
  • The main purpose of the Boolean equivalence problem is to verify that two Boolean expressions have the same functionality. Simulation has been extensively used as the standard method for the equivalence problem. Obviously, the number of tests required to perform a satisfactory coverage grows exponentially with the number of input variables. However, formal methods as opposed to simulation are getting more attention from the community. We propose a new algorithm called the Cover-Merge Algorithm based on a derivational method using the concept of cover and merge for the equivalence problem and investigate its theoretical aspects. Because of the difficulty of the problem, we emphasize simplification techniques in order to reduce the search space or problem size. Heuristics based on types of merges are developed to speed up the derivation process by allowing simplifications. In comparison with widely used technique called Binary Decision Diagram or BDD, the algorithm proposed outperforms BDD in nearly all cases of input including standard benchmark problems.

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Formal Models and Algorithms for XML Data Interoperability

  • Lee, Thomas Y.;Cheung, David W.
    • Journal of Computing Science and Engineering
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    • 제4권4호
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    • pp.313-349
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    • 2010
  • In this paper, we study the data interoperability problem of web services in terms of XML schema compatibility. When Web Service A sends XML messages to Web Service B, A is interoperable with B if B can accept all messages from A. That is, the XML schema R for B to receive XML instances must be compatible with the XML schema S for A to send XML instances, Le., A is a subschema of B. We propose a formal model called Schema Automaton (SA) to model W3C XML Schema (XSD) and develop several algorithms to perform different XML schema computations. The computations include schema minimization, schema equivalence testing, subschema testing, and subschema extraction. We have conducted experiments on an e-commerce standard XSD called xCBL to demonstrate the practicality of our algorithms. One experiment has refuted the claim that the xCBL 3.5 XSD is backward compatible with the xCBL 3.0 XSD. Another experiment has shown that the xCBL XSDs can be effectively trimmed into small subschemas for specific applications, which has significantly reduced the schema processing time.

품질개선 프로세스에서 통계적 차이와 실제적 동등성 모형의 유도 및 적용방안 (Derivation and Implementation of Statistical Difference and Practical Equivalence Models in the Quality Improvement Processes)

  • 최성운
    • 대한안전경영과학회지
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    • 제12권2호
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    • pp.217-223
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    • 2010
  • The research proposes the complementary methodology using integrated hypothesis testing and confidence interval models that can be identified the statistical difference and practical equivalence. The models developed in this study can be used in the quality improvement processes such as QC story 15 steps. For the expressions of CI4LSD(Confidence Interval for Least Significant Difference) and CI4TOST(Confidence Interval for Two One-Sided Tests) are simple, quality practioners can efficiently handle them. CI4TOST models as a complement can be applied when CI4LSD models are influenced by sample size and precision.