• 제목/요약/키워드: Sequential probability ratio testing

검색결과 9건 처리시간 0.022초

컴퓨터 평가 기반 학습 시스템 설계 및 개발 연구 (A Study on the Design and Development of Computer Based Learning and Test System)

  • 허균
    • 수산해양교육연구
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    • 제27권4호
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    • pp.1160-1171
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    • 2015
  • The purpose of this study is to design and develop a computer based learning and test system, which supports not only testing learner's ability but also learning contents with giving feedback and hint. In order to design and develop a computer based learning and test system, Visual Basic dot Net software is used. The system works in three stages: sequential problem solving stage, randomized problem solving stage, and the challenge stage of pass/fail. The results of this study are as follows: (a) We propose the context of design for the computer based learning and test system. (b) We design and develop items display function with sequential and random algorithm in this system. (c) We design and develop pass/fail function by applying SPRT(Sequential Probability Ratio Testing) algorithm in the computer based learning and test system.

멀티미디어가 지원되는 SPRT 시스템 설계 및 구현 (Design and Implementation of Multimedia Supported SPRT System)

  • 범수균;오암석
    • 한국멀티미디어학회논문지
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    • 제5권6호
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    • pp.638-645
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    • 2002
  • 컴퓨터 기반 교육의 잠재적인 이점은 개별화 교습이다. 그러나 컴퓨터를 기반으로 한 교습의 목표는 완전하게 실행될 수 없었다. 가장 큰 이유는 자연어 이해에 대한 제약과 내재된 많은 문제점이다. 그럼에도 불구하고 컴퓨터 기반 평가 길이를 적당히 조절함으로써 학습자의 학습능력을 평가할 수 있는 CAT(Computer-based Adaptive Testing)프로그램 개발은 가능하다. 평가를 위한 문항 수가 두드러지게 감소하면서 반면에 합격과 불합격 판정이 매우 정확하다. 본 논문에서는 SPRT(Sequential Probability Ratio Testing)방식을 이용한 평가시스템을 설계하고 구현하였다. 이 시스템은 개별화 수업을 위하여 다양한 멀티미디어 오브젝트를 지원하고 클라이언트/서버 환경과 학습자 피드백, 다중-SPRT 그리고 학습자 모델을 유지 관리한다. 아울러 문항의 독립성을 위하여 각 문항의 coefficient alpha 값을 측정하여 관리하는 기능을 지원한다.

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A Note on the Optimum Character of One-Sided Sequential Probability Ratio Tests

  • Abel, Volker
    • 한국경영과학회지
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    • 제9권2호
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    • pp.23-27
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    • 1984
  • We Observe a sequence of i. i. d random variables with density f or g. Only if g is true we should stop the process. Hence. the testing problem is completely described by a stopping time. Among all stopping times with error probability of first kind not exceeding a given bound, the one-sided sequential probability ratio test has smallest expected sample size if g is true. Moreover, the generalized one-sided SPRT has smallest expected sample size for g in the class of stopping times with expected sample size under f not falling below a given bound.

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집단관측치에 의한 비모수적 축차검정에 관한 연구 (A nonparametric sequential test based on observations in groups)

  • 박창순
    • 응용통계연구
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    • 제1권2호
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    • pp.66-81
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    • 1987
  • 이 연구에서는 새로운 방법의 비모수적 축차검정방법이 제시되었다. 먼저 축차적으로 얻어지는 관측치를 일정수의 집단으로 분류하고 각집단으로부터 주어진 가설에 적절한 비모수 통계량을 구하여 이것을 축차확률비검정에서 사용되는 로그확률비통계량에 대체하여 Wald의 축차검정을 수행하는 방법이다. 이러한 검정의 특성은 Wiener과정에 의해 근사적으로 규명되었다.

학습 평가를 위한 최적의 SPRT 판정에 관한 연구 (A Study on Judgement of Optimal SPRT for Learning Estimation)

  • 전미란;오암석
    • 한국멀티미디어학회논문지
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    • 제12권8호
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    • pp.1182-1189
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    • 2009
  • 컴퓨터 기반 교육의 잠재적인 이점은 개별화 교습이다. 결국 수준별 교육과정의 운영과 열린 교육의 실천을 위하여 어떻게 학습자 개개인에 대해서 신속하고 정확하게 평가할 수 있는가에 대한 문제가 제기된다. 본 연구에서는 평가를 위한 문항 수가 두드러지게 감소하면서 반면에 합격과 불합격 판정이 비교적 정확한 기존의 SPRT(Sequential Probability Ratio Testing) 판정 방법에 대한 문제점을 보완하여 보다 최적의 판정을 내릴 수 있는 방안을 시뮬레이션 연구를 통하여 제안한다. 이를 위하여 실제 측정에 의해서 얻어진 피험자 자료를 활용하여 SPRT판정의 정확도 검증을 위한 시뮬레이션과 최적의 SPRT판정을 위한 초기 설정치와 다단계 (Multilevel) SPRT 모형 및 판정 기준을 제시하고 시뮬레이션을 통하여 타당성을 알아본다.

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Elastic modulus in large concrete structures by a sequential hypothesis testing procedure applied to impulse method data

  • Antonaci, Paola;Bocca, Pietro G.;Sellone, Fabrizio
    • Structural Engineering and Mechanics
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    • 제26권5호
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    • pp.499-516
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    • 2007
  • An experimental method denoted as Impulse Method is proposed as a cost-effective non-destructive technique for the on-site evaluation of concrete elastic modulus in existing structures: on the basis of Hertz's quasi-static theory of elastic impact and with the aid of a simple portable testing equipment, it makes it possible to collect series of local measurements of the elastic modulus in an easy way and in a very short time. A Hypothesis Testing procedure is developed in order to provide a statistical tool for processing the data collected by means of the Impulse Method and assessing the possible occurrence of significant variations in the elastic modulus without exceeding some prescribed error probabilities. It is based on a particular formulation of the renowned sequential probability ratio test and reveals to be optimal with respect to the error probabilities and the required number of observations, thus further improving the time-effectiveness of the Impulse Method. The results of an experimental investigation on different types of plain concrete prove the validity of the Impulse Method in estimating the unknown value of the elastic modulus and attest the effectiveness of the proposed Hypothesis Testing procedure in identifying significant variations in the elastic modulus.

불량갯수에 대한 축차 샘플링검사 (Sequential Sampling Inspection Plans for Defectives)

  • 이재헌;박창순;박종태
    • 품질경영학회지
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    • 제24권4호
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    • pp.1-13
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    • 1996
  • The sequential sampling inspection method is an extension of the double-sampling and multiple-sampling methods and its theory is based on the sequential probability ratio test(SPRT). In this paper, the characteristics of SPRT for testing the propotion of defectives are approximated by using the estimated excess over the boundaries. The use of the estimated excess shows good performances in estimating the operating characteristic function and the average sample number of SPRT compared to the method by neglecting the excess. It also makes it possible to determine the boundary values which satisfy the desired error probabilities.

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Sampling Inspection Plans for Defect

  • Jeong, Jeong-Im;Cho, Gyo-Young
    • Journal of the Korean Data and Information Science Society
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    • 제15권4호
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    • pp.867-877
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    • 2004
  • The sequential sampling inspection method is an extension of the multiple-sampling methods, and its theory is based on the sequential probability ratio test (SPRT) of Wald. In this paper, the characteristics of SPRT for testing the number of defects are approximated by using the estimated excess over the boundaries. The use of the estimated excess shows good performances in estimating the operating characteristic function and the average sample number of SPRT compared to the method by neglecting the excess. It also makes it possible to determine the boundary values which satisfy the desired error probabilities.

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단축-축차관리도의 설계 (Design of a Curtailed-SPRT Control Chart)

  • 장영순
    • 한국경영과학회지
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    • 제34권1호
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    • pp.29-37
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    • 2009
  • This paper proposes a curtailed-sequential probability ratio test (SPRT) control chart. For using the conventional SPRT control chart, the number of items inspected in a sampling point should have no restriction since items in a sampling point are inspected one by one until an SPRT Is terminated. The number of observations taken in a sampling point, however, has an upper bound since sampling and testing of an item is time-consuming or expensive. When the sample size reaches the upper bound without evidence of an in-control or out-of-control state of a process, the proposed chart makes a decision using the sample mean of all observations taken in a sampling point. The properties of the Proposed chart are obtained by a Markov chain approach and the performance of the chart is compared with fixed sample size (FSS) and variable sample size (VSS) control charts. A comparative study shows that the proposed chart performs better than VSS control charts as well as conventional FSS control charts.