• 제목/요약/키워드: null testing

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치의학 연구에서 귀무가설 유의성 검정의 문제점과 대안에 관한 고찰 (Review on Problems with Null Hypothesis Significance Testing in Dental Research and Its Alternatives)

  • 이광희
    • 대한소아치과학회지
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    • 제40권3호
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    • pp.223-232
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    • 2013
  • 치의학 연구에서 사용되는 귀무가설 유의성 검정에서 p값을 기준으로 연구의 결과를 평가하는 것은 많은 문제점을 내포하고 있다. 귀무가설이 기각되지 않은 경우에 귀무가설이 옳다는 결론을 내리는 것은 논리적 오류이다. p값에 대한 중대한 오해가 많이 있으며 연구자는 논문을 작성할 때 p값의 해석에 신중해야 한다. 귀무가설검정을 보완하거나 대체할 수 있는 대안으로서, 효과 크기, 신뢰구간, 베이지안 통계 등이 있다.

타원면경 측정 Null 렌즈 설계 (Null lens design for testing of elliptical surface)

  • 김연수
    • 한국광학회지
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    • 제11권4호
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    • pp.246-249
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    • 2000
  • 고해상도 원격관측용 카메라오 설계된 비축 3반사 광학계의 제3거울인 타원면(원추계수>0) 형상측정 Null 렌즈를 설계하였다. Null 렌즈 설계방식으로는 측정감도는 2배로 높으면서 작은 기준 평면경을 사용하는 혼합방식을 제안하였다. 혼합방식과 autostigmatic 방식으로 설계한 Null 렌즈의 광파면 왜곡 민감도를 비교하여 혼합방식이 보다 유리한 Null 측정 광학게임을 제시하였다.

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쌍곡면 측정 null 렌즈 설계 (Design of null lenses for testing of hyperbolic surfaces)

  • 김연수;김병윤;이윤우
    • 한국광학회지
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    • 제12권5호
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    • pp.352-355
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    • 2001
  • 고해상도 원격관측용 카메라로 설계된 비축 3반사 광학계의 제1거울인 쌍곡면 형상 측정을 위한 null 렌즈를 설계하였다. Null 렌즈는 autostigmatic 방식과 mixed 방식으로 설계하였으며, 렌즈의 곡률반경, 두께등의 변수에 대한 상대적 민감도를 비교 분석하여 보다 측정이 용이한 null 렌즈를 제시하였다.

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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.

A New Full-Aperture Reflective Null Measuring Method for Conformal Dome

  • Yan, Xudong;Wang, Junhua;Xu, Min
    • Journal of the Optical Society of Korea
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    • 제20권1호
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    • pp.174-179
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    • 2016
  • In this paper, a novel full-aperture reflective null measuring method is proposed to detect the transmission wavefront of a conformal dome surface. An aspheric compensator is designed and placed behind the dome to reflect the aspheric testing wave back to the same path. To ensure the feasibility of this method, tolerance analysis is conducted, and guidance to assembly is given accordingly. The accuracy of this method is verified to be λ/30 (λ =3.39 μm) by Monte Carlo algorithm. In addition, the influence of different error factors, including the thickness error and decenter error of the dome, on the testing wavefront is analyzed. Simulation and experiment indicate that this method is practical and simple, and can measure the conformal domes precisely and comprehensively.

A NEW UDB-MRL TEST WITH UNKNOWN CHANCE POINT

  • Na, Myung-Hwan
    • 품질경영학회지
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    • 제30권3호
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    • pp.195-202
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    • 2002
  • The problem of trend change in the mean residual life is great Interest in the reliability and survival analysis. In this paper, a new test statistic for testing whether or not the mean residual life changes its trend Is developed. It is assumed that neither the change point nor the proportion at which the trend change occurs is known. The asymptotic null distribution of test statistic is established and asymptotic critical values of the asymptotic null distribution is obtained. Monte Carlo simulation is used to compare the proposed test with previously known tests.

ASYMPTPTIC DISTRIBUTION OF LIKELINOOD RATIO STATISTIC FOR TESTING MULTISAMPLE SPHERICITY

  • Gupta, A.K.;Nagar, D.K.;Jain, Kalpana
    • Journal of the Korean Statistical Society
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    • 제21권1호
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    • pp.14-26
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    • 1992
  • In this paper, asymptotic expansions of the distribution of the likelihood ratio statistic for testing multisample sphericity have been derived in the null and nonnull cases when the alternatives are close to the null hypothesis. These expansions are obtained in the form of series of data distributions.

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The Nonparametric Test for Detecting Main Effects for Three-Way ANOVA Models

  • Park, Young-Hun
    • Journal of the Korean Statistical Society
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    • 제25권3호
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    • pp.419-432
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    • 1996
  • When interactions are not present in a three-way layout, the lim-iting null distribution of the F statistic for testing main effects when applied to the rank-score transformed data is the same as the limiting null distribution of the usual F statistic when applied to the normal data. The simulation results exhibit that the rank transform test is robust with respect to significance level and powerful for testing main effects in a three-way factorial experiment.

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A NEW UDB-MRL TEST FOR WITH UNKNOWN

  • Na, Myung-Hwan
    • 품질경영학회지
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    • 제30권4호
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    • pp.78-85
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    • 2002
  • The problem of trend change in the mean residual life is great interest in the reliability and survival analysis. In this paper, a new test statistic for testing whether or not the mean residual life changes its trend is developed. It is assumed that neither the change point nor the proportion at which the trend change occurs is known. The asymptotic null distribution of test statistic is established and asymptotic critical values of the asymptotic null distribution is obtained. Monte Carlo simulation is used to compare the proposed test with previously known tests.

A Study on Goodness-of-fit Test for Density with Unknown Parameters

  • Hang, Changkon;Lee, Minyoung
    • Communications for Statistical Applications and Methods
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    • 제8권2호
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    • pp.483-497
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    • 2001
  • When one fits a parametric density function to a data set, it is usually advisable to test the goodness of the postulated model. In this paper we study the nonparametric tests for testing the null hypothesis against general alternatives, when the null hypothesis specifies the density function up to unknown parameters. We modify the test statistic which was proposed by the first author and his colleagues. Asymptotic distribution of the modified statistic is derived and its performance is compared with some other tests through simulation.

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