• 제목/요약/키워드: Hypotheses

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A Comparison of Size and Power of Tests of Hypotheses on Parameters Based on Two Generalized Lindley Distributions

  • Okwuokenye, Macaulay;Peace, Karl E.
    • Communications for Statistical Applications and Methods
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    • 제22권3호
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    • pp.233-239
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    • 2015
  • This study compares two generalized Lindley distributions and assesses consistency between theoretical and analytical results. Data (complete and censored) assumed to follow the Lindley distribution are generated and analyzed using two generalized Lindley distributions, and maximum likelihood estimates of parameters from the generalized distributions are obtained. Size and power of tests of hypotheses on the parameters are assessed drawing on asymptotic properties of the maximum likelihood estimates. Results suggest that whereas size of some of the tests of hypotheses based on the considered generalized distributions are essentially ${\alpha}$-level, some are possibly not; power of tests of hypotheses on the Lindley distribution parameter from the two distributions differs.

Comparison of methods for the proportion of true null hypotheses in microarray studies

  • Kang, Joonsung
    • Communications for Statistical Applications and Methods
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    • 제27권1호
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    • pp.141-148
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    • 2020
  • We consider estimating the proportion of true null hypotheses in multiple testing problems. A traditional multiple testing rate, family-wise error rate is too conservative and old to control type I error in multiple testing setups; however, false discovery rate (FDR) has received significant attention in many research areas such as GWAS data, FMRI data, and signal processing. Identify differentially expressed genes in microarray studies involves estimating the proportion of true null hypotheses in FDR procedures. However, we need to account for unknown dependence structures among genes in microarray data in order to estimate the proportion of true null hypothesis since the genuine dependence structure of microarray data is unknown. We compare various procedures in simulation data and real microarray data. We consider a hidden Markov model for simulated data with dependency. Cai procedure (2007) and a sliding linear model procedure (2011) have a relatively smaller bias and standard errors, being more proper for estimating the proportion of true null hypotheses in simulated data under various setups. Real data analysis shows that 5 estimation procedures among 9 procedures have almost similar values of the estimated proportion of true null hypotheses in microarray data.

An Investigation on Models of Making-hypothesis Process by Analysis of Formulating Hypotheses on Repetition Hypothesis Activities in Middle School Students

  • Kim, Young-Shin;Germann, Paul J.
    • 한국과학교육학회지
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    • 제24권4호
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    • pp.731-747
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    • 2004
  • The scientific inquiry enterprise consists of formulating hypotheses, testing hypotheses, evaluating evidence, and revising hypothesis. Scientific inquiry in the science classrooms requires students' background experience and knowledge with the phenomenon in order to ask appropriate questions, identify and define variables operationally, formulate hypotheses, and design clear and complete experiment. The ability to test hypotheses has been postulated to play a central role in cognitive processes. The purpose of this study was to analyze what the change of the quantity and quality of the hypothesis, the rejecting or accepting of the hypothesis, and the use results in the repetitional hypothesis activity experiments. To examine the problems, this study analyzed 5 classes which were designed and administered to 16 students of the 7th grade. The results of this study showed that students preferred the engineering method to scientific method and the quality of a second hypothesis got low. The quality of the hypothesis came to be higher through a repetitional hypothesis and the number of hypothesis was reduced. The results of the experiments did not play central roles in revising hypotheses and accepting or rejecting hypothesis.

우연적 의미 활성화가 가설 생성에 미치는 영향: 가설 유형에 따른 차이 (The Effect of Incidental Semantic Activation on Hypothesis Generation: Exclusive vs Compatible Hypotheses)

  • 이윤하;박주용
    • 인지과학
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    • 제26권2호
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    • pp.209-239
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    • 2015
  • 우연적 의미 활성화가 가설의 생성과 평가에 주는 영향에 대한 연구는 많다. 그러나 진단추론 상황에서 우연적 의미 활성화의 영향을 다루었던 연구는 거의 없으며, 특히 가설 유형에 따른 차이를 알아보는 연구를 찾아보기 힘들다. 본 연구는 진단 추론에서 우연적 의미 활성화가 가설의 유형에 따라 어떤 차이를 보이는 지를 알아보기 위해 수행되었다. 첫 번째 실험에서 우연적 의미 활성화는, 배타가설의 경우 최종 가설 생성 패턴에 영향을 미쳤지만, 가설의 생성 수에는 영향을 미치지 않음을 발견하였다. 반면 양립 가능한 가설의 경우, 활성화는 생성된 가설의 수에 영향을 미쳤지만, 최종 가설 생성 패턴에는 영향을 미치지 못했다. 이러한 결과는 인지적 노력을 가중시켰을 때조차 반복검증 되었다. 실험 2에서 우연적 의미 활성화와 더불어 추론에 필요한 단서의 개수를 조작하였다. 각 가설을 지지하는 단서들이 동시에 제시되면 우연적 의미 활성화의 영향은 사라졌고, 단서들의 개수가 증가함에 따라 배타가설의 추론 확신은 증가하였다. 본 연구는 진단 추론 시 관련된 단서를 최대한 활용할 필요성과, 가설생성/가설 평가에 관한 연구에서 가설 유형에 따른 차이를 고려해야 함을 시사한다.

수학학습에 대한 불안요인 연구 (A Study of Anxiety Factor for the Learning of Mathematics)

  • 오후진;이종배
    • 한국학교수학회논문집
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    • 제3권1호
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    • pp.47-57
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    • 2000
  • The purpose of this study is to investigate the degree of anxiety factors for learning mathematics and look into the reason of anxiety of mathematics and show the method of eliminating negative and anxious factors in elementary school, secondary school and high school. To have learner take an interest in learning mathematics, develop the positive attitude about learning mathematics and maximize the effect of learning of mathematics, three kinds of hypotheses are established as follows: 1. There would be difference in anxiety factor of learning mathematics according to elementary school, secondary school and high school. 2. There would be difference in anxiety factor of learning mathematics according to sex. 3. There be difference in anxiety factor of learning mathematics according to the level of achievement. The results of this study are as follows: 1. Hypotheses I was testified. The anxiety factor between mathematics learning and mathematics teacher was significant difference according to elementary school, secondary school and high school. 2. Hypotheses II was testified. The result of hypotheses II was significant difference only in high school. The anxiety factor of mathematics teacher was significant difference according to boy student and girl student. 3. Hypotheses III was testified. The anxiety factor of mathematics, teacher and test was significant difference only in elementary school and high school.

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Multivariate Analysis of Variance for Fuzzy Data

  • Kang, Man-Ki;Han, Sung-Il
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제4권1호
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    • pp.97-100
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    • 2004
  • We propose some properties of fuzzy multivariate analysis of variance by fuzzy vector operation with agreement index. We deals fuzzy null hypotheses and fuzzy alternative hypothesis and define the agreement index for the grades of the judgements that the hypothesis is rejection or acceptance. Finally, we provide an example to evaluate the judgements.

와이블 수명자료들에 대한 베이지안 가설검정 (Bayesian Hypotheses Testing for the Weibull Lifetime Data)

  • 강상길;김달호;조장식
    • 품질경영학회지
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    • 제28권3호
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    • pp.1-10
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    • 2000
  • In this paper, we address the Bayesian hypotheses testing for the comparison of Weibull distributions. In Bayesian testing problem, conventional Bayes factors can not typically accommodate the use of noninformative priors which are Improper and are defined only up to arbitrary constants. To overcome such problem, we use the recently proposed hypotheses testing criterion called the intrinsic Bayes factor. We derive the arithmetic and median intrinsic Bayes factors for the comparison of Weibull lifetime model and we use these results to analyze real data sets.

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Hypotheses Testing for the Shape Parameter of the Weibull Lifetime Data

  • Kang, Sang-Gil;Kim, Dal-Ho;Cho, Jang-Sik
    • 품질경영학회지
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    • 제27권4호
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    • pp.153-166
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    • 1999
  • In this paper, we address the Bayesian hypotheses testing for the shape parameter of weibull model. In Bayesian testing problem, conventional Bayes factors can not typically accommodate the use of noninformative priors which are improper and are defined only up to arbitrary constants. To overcome such problem, we use the recently proposed hypotheses testing criterion called the intrinsic Bayes factor. We derive the arithmetic and median intrinsic Bayes factors and use these results to analyze real data sets.

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퍼지 p-값에 의한 퍼지가설검정 (Fuzzy hypotheses testing by fuzzy p-value)

  • 강만기
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 춘계학술대회 학술발표 논문집 제16권 제1호
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    • pp.199-202
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    • 2006
  • We propose some properties of fuzzy p-value and fuzzy significance level to the test statistics for the fuzzy hypotheses testing. Appling the principle of agreement index, we suggest two method for fuzzy hypothesis testing by fuzzy rejection region and fuzzy p-value with fuzzy hypothesis $H_{f,0}$.

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