• 한국광학회지
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• 제13권6호
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• pp.537-542
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• 2002

서로 다른 null optics를 사용하는 null test의 측정결과를 상호 비교함으로써 null CGH test 신뢰성을 알아보았다. 회전대칭 포물면경(90mm, F/0.76) 형상측정 및 측정장치 정렬용 null CGH를 설계, encoding, 제작 후 null CGH test를 실시하였다. 결과를 평면경을 null optics로 사용하는 autocollimation test측정치와 비교하여 null CGH test의 정확성을 평가하였다.

• 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.

• 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.

• Communications for Statistical Applications and Methods
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• 제23권6호
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• pp.563-574
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• 2016

In this study, we propose several simultaneous tests to detect the difference between means and variances for the two-sample problem when the underlying distribution is normal. For this, we apply the likelihood ratio principle and propose a likelihood ratio test. We then consider a union-intersection test after identifying the likelihood statistic, a product of two individual likelihood statistics, to test the individual sub-null hypotheses. By noting that the union-intersection test can be considered a simultaneous test with combination function, also we propose simultaneous tests with combination functions to combine individual tests for each sub-null hypothesis. We apply the permutation principle to obtain the null distributions. We then provide an example to illustrate our proposed procedure and compare the efficiency among the proposed tests through a simulation study. We discuss some interesting features related to the simultaneous test as concluding remarks. Finally we show the expression of the likelihood ratio statistic with a product of two individual likelihood ratio statistics.

• 응용통계연구
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• 제22권5호
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• pp.1059-1072
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• 2009

마이크로어레이 극소수 샘플(array) 자료의 분석에서는 유의한 발현수치를 나타내는 유전자를 검정통계량에 의해 결정하는 것이 주요과제이다. 이 때 수 천 또는 수 만개인 유전자의 발현수치로부터 귀무분포(null distribution)의 생성이 필수적이며, 극소수 샘플 자료의 경우에는 순열방법(permutation methods)에 의해 귀무분포를 생성하는 것이 가장 바람직하다. 본 논문에서는 귀무분포 생성에 사용될 수 있는 매우 단순한 검정통계량을 제시하면서 더불어 귀무분포 생성에 적절한 순열방법도 제안한다. 모의실험으로 기존의 검정통계량으로 생성된 귀무분포와 본 논문에서 제안하는 검정통계량의 귀무분포를 비교하며, 실제 자료에 적용하여 유의 유전자를 탐색한다.

• 한국광학회:학술대회논문집
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• 한국광학회 2003년도 하계학술발표회
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• pp.150-151
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• 2003

비구면은 점광원에서 출발한 광이 측정면에서 반사한 후 다시 한 점으로 모이지 않아 일반적인 간섭계로 측정하는데 어려움이 있다. 이 때 비구면이 만들어내는 파면과 반대되는 파면을 생성하는 null compensator를 설치하여 null test를 수행할 수 있다. CGH는 렌즈나 거울과 같은 기계적인 가공을 하지 않고, 이론상 수식적으로 표현이 가능한 모든 파면을 만들 수 있으므로 많이 사용되어 왔다. (중략)

• Communications for Statistical Applications and Methods
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• 제25권1호
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• pp.71-78
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• 2018

In this study, we consider the likelihood ratio test for the covariance matrix of the multivariate normal data. For this, we propose a method for obtaining null distributions of the likelihood ratio statistics by the Monte-Carlo approach when it is difficult to derive the exact null distributions theoretically. Then we compare the performance and precision of distributions obtained by the asymptotic normality and the Monte-Carlo method for the likelihood ratio test through a simulation study. Finally we discuss some interesting features related to the likelihood ratio test for the covariance matrix and the Monte-Carlo method for obtaining null distributions for the likelihood ratio statistics.

• Communications for Statistical Applications and Methods
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• 제4권3호
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• pp.787-793
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• 1997

It is well known that the assumption of independence is ofter not valid for real data. This phenomenon has been observed empirically by many prominent scientists. In this article the sensitivity of dependence on Bayes test of a sharp null hypothesis is considered. The robustness is considered with respect to the significant level and the prior probability on the null hypothesis.

• 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.

• 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.