• 제목/요약/키워드: hypothesis testing problem

검색결과 80건 처리시간 0.025초

Default Bayesian testing for the bivariate normal correlation coefficient

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제22권5호
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    • pp.1007-1016
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    • 2011
  • This article deals with the problem of testing for the correlation coefficient in the bivariate normal distribution. We propose Bayesian hypothesis testing procedures for the bivariate normal correlation coefficient under the noninformative prior. The noninformative priors are usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. A simulation study and an example are provided.

Default Bayesian testing for the equality of the scale parameters of several inverted exponential distributions

  • Kang, Sang Gil;Kim, Dal Ho;Lee, Woo Dong
    • Journal of the Korean Data and Information Science Society
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    • 제25권4호
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    • pp.961-970
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    • 2014
  • This article deals with the problem of testing the equality of the scale parameters of several inverted exponential distributions. We propose Bayesian hypothesis testing procedures for the equality of the scale parameters under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.

Objective Bayesian Testing for Effect Size in Paired Study

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제19권4호
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    • pp.1477-1489
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    • 2008
  • This article deals with the problem of testing whether the effect size in paired study exists. We propose Bayesian hypothesis testing procedures for the effect size in paired study under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the objective Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factor under the reference prior. Simulation study and a real data example are provided.

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Default Bayesian testing for normal mean with known coefficient of variation

  • Kang, Sang-Gil;Kim, Dal-Ho;Le, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제21권2호
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    • pp.297-308
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    • 2010
  • This article deals with the problem of testing mean when the coefficient of variation in normal distribution is known. We propose Bayesian hypothesis testing procedures for the normal mean under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the objective Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factor under the reference prior. Specially, we develop intrinsic priors which give asymptotically same Bayes factor with the intrinsic Bayes factor under the reference prior. Simulation study and a real data example are provided.

Default Bayesian testing on the common mean of several normal distributions

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제23권3호
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    • pp.605-616
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    • 2012
  • This article deals with the problem of testing on the common mean of several normal populations. We propose Bayesian hypothesis testing procedures for the common normal mean under the noninformative prior. The noninformative prior is usually improper and yields a calibration problem that makes the Bayes factor to be defined u to a multiplicative constant. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.

Default Bayesian testing for the equality of shape parameters in the inverse Weibull distributions

  • Kang, Sang Gil
    • Journal of the Korean Data and Information Science Society
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    • 제25권6호
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    • pp.1569-1579
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    • 2014
  • This article deals with the problem of testing for the equality of the shape parameters in two inverse Weibull distributions. We propose Bayesian hypothesis testing procedures for the equality of the shape parameters under the noninformative prior. The noninformative prior is usually improper which yields a calibration problem that makes the Bayes factor to be defined up to a multiplicative constant. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.

가설-검증 문제를 이용한 혼합 프라이어를 가지는 베이지안 영상 잡음 제거 (Bayesian Image Denoising with Mixed Prior Using Hypothesis-Testing Problem)

  • 엄일규;김유신
    • 대한전자공학회논문지SP
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    • 제43권3호
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    • pp.34-42
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    • 2006
  • 일반적으로 웨이블릿 계수는 적은 수의 계수에 거의 대부분의 정보가 저장되어 있다. 이러한 웨이블릿 계수의 성긴 특성은 가우스 확률밀도 함수와 영점에서의 점 질량(point mass) 함수의 혼합으로 모델링될 수 있으며, 이 프라이어(prior) 모델에 대한 베이지안 추정법으로 잡음 제거를 수행한다. 본 논문에서는 가설-검증 기법을 이용하여 잡음 제거를 위한 파라미터를 추정하는 방법을 제안한다. 가설-검증은 관찰된 웨이블릿 계수의 분산에 적용되며, $X^2$-검증을 사용한다. 모의실험 결과를 통하여 본 논문의 방법이 직교 웨이블릿 변환을 사용한 최신의 잡음 제거 방법보다 대략 0.3dB 정도 우수한 PSNR(peak signal-to-noise ratio) 성능을 나타낸다.

가설 검증 기법을 이용한 방향성을 가지는 손실 블록의 복구 (Directional Block Loss Recovery sing Hypothesis Testing Problem)

  • 현승화;김유신;엄일규
    • 대한전자공학회논문지SP
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    • 제45권5호
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    • pp.87-94
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    • 2008
  • 본 논문에서는 손실된 블록의 은닉을 위한 방향성을 가지는 블록 복구 방법을 제안한다. 일반적으로 영상의 강한 에지는 웨이블릿 영역에서 큰 계수 값을 가지기 때문에 분산 또한 큰 값으로 나타난다. 손실 블록의 에지 방향을 추정하기 위해서 웨이블릿 계수들의 분산을 이용한 $X^2$ 가설 검증 기법을 적용한단. 추정된 에지의 방향에 따라 보간을 수행하며, 손실 화소를 보간하기 위하여 사용되는 화소는 에지 방향에 따라 결정된다. 제안 방법은 이전 방법과의 성능비교에서 주관적으로나 객관적으로 나 더 좋은 성능을 나타낸다.

초등 과학 교과서에서 창의적 문제해결력 분석특 개발과 적용 - 5, 6학년 1학기 교과서를 중심으로 - (Development and Application of a Creative Problem Solving Analysis Framework for Elementary School Science Textbook - Focused on the 5th and 6th grade 1st semester -)

  • 김현정;최선영;강호감
    • 한국초등과학교육학회지:초등과학교육
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    • 제22권2호
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    • pp.163-172
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    • 2003
  • The purpose of this study was to develop the analytic framework of Creative Problem Solving(CPS) for elementary school science textbook. For this purpose, we developed the framework based on the theories of problem, definition of problem solving and various kinds of CPS model. The six elements of the framework for content analysis were extracted through theoretical examination: problem introduction, problem statement, solution thinking, formulating hypothesis, testing hypothesis, and assessment. The developed framework was applied to the extbooks for the 5th and the 6th grades 1st semester in elementary science textbook of the 7th national curriculum. The results of this study were as follows: 1. The scores of the framework for content analysis in the 5th grade were slightly higher than those of the 6th grade, but there were no significant difference. 2. The comparison of the scores between the elements of the framework was found that the scores on the elements of testing hypothesis and formulating hypothesis were higher than those of the other elements. 3. The comparison of the scores between the units was found that the scores of the framework for the 9th unit (“trip of water”) of the 5th grade were higher than those of the other units, which were presented lower level than 1.0 (50.0%) score of the framework. 4. The comparison of the scores between the intensive course and the regular coures in the 6th grade textbook was showed that the scores on the intensive course were higher than the basic course. In conclusions, it was found that the problem introduction and problem statement in the textbook should be amended, and that various information and activities should be presented in the textbook.

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개방적 가설검증 학습모형을 적용한 과학 탐구학습의 효과:화학 I ‘금속과 그 이용’ 단원을 중심으로 (The Effects of Science Inquiry Learning Applying Open- Ended Hypothesis-Testing Learning Model: On the ‘Metals and Their Applications’ Unit in Chemistry)

  • 정대홍;방정아;최취임;최원호
    • 대한화학회지
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    • 제50권5호
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    • pp.385-393
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    • 2006
  • 연구에서는 고등학교 화학 수업에서 개방적 가설검증 학습모형을 적용한 과학 탐구학습을 실시하고, 학생들의 인지 수준에 따른 과학 탐구능력, 과학 수업에 대한 태도에 미치는 효과와 수업에 대한 인식을 알아보았다. 서울에 소재한 남자 고등학교 2학년 4개 학급의 학생들(92명)을 대상으로 개방적 가설검증 학습모형을 적용한 과학 탐구학습을 실시한 처치집단과 실험과정이 모두 제시된 실험 수업을 실시한 통제집단으로 배치한 후, 화학의 ‘금속과 그 이용' 단원에 대해서 수업을 실시하였다. 연구 결과에 의하면, 개방적 가설검증 학습모형을 적용한 과학 탐구학습은 과학 탐구능력 향상에 관해서 실험설계, 자료 변환 및 해석, 가설검증의 영역에서 유의미한 효과가 있었으며 문제 파악 및 정의, 가설설정의 영역에서는 효과가 없었다. 한편, 개방적 과학 탐구학습에서 학생들의 역할 및 수행할 과제의 증가로 인해 과학 수업에 대한 태도는 처치집단에 부정적인 효과가 나타났다.