• Communications for Statistical Applications and Methods
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• 제24권6호
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• pp.663-671
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• 2017

Some genetic association tests include an unidentifiable nuisance parameter under the null hypothesis of no association. When the mode of inheritance (MOI) is not specified in a case-control design, the Cochran-Armitage (CA) trend test contains an unidentifiable nuisance parameter. The transmission disequilibrium test (TDT) in a family-based association study that includes the unaffected also contains an unidentifiable nuisance parameter. The hypothesis tests that include an unidentifiable nuisance parameter are typically performed by taking a supremum of the CA tests or TDT over reasonable values of the parameter. The p-values of the supremum test statistics cannot be obtained by a normal or chi-square distribution. A common method is to use a Davies's upper bound of the p-value instead of an exact asymptotic p-value. In this paper, we provide a unified sine-cosine process expression of the CA trend test that does not specify the MOI and the TDT that includes the unaffected. We also present a closed form expression of the exact asymptotic formulas to calculate the p-values of the supremum tests when the score function can be written as a linear form in an unidentifiable parameter. We illustrate how to use the derived formulas using a pharmacogenetics case-control dataset and an attention deficit hyperactivity disorder family-based example.

• Advances in nano research
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• 제5권4호
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• pp.337-357
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• 2017

Knowledge of thin films mechanical properties is strongly associated to the reliability and the performances of Nano Electro Mechanical Systems (NEMS). In the literature, there are several methods for micro materials characterization. Bulge test is an established nondestructive technique for studying the mechanical properties of thin films. This study improve the performances of NEMS by investigating the mechanical behavior of Nano rectangular thin film (NRTF) made of new material embedded in Nano Electro Mechanical Systems (NEMS) by developing the bulge test technique. The NRTF built from adhesively-bonded layers of basalt fiber reinforced polymer (BFRP) laminate composite materials in Nano size at room temperature and were used for plane-strain bulging. The NRTF is first pre-stressed to ensure that is no initial deflection before applied the loads on NRTF and then clamped between two plates. A differential pressure is applying to a deformation of the laminated composite NRTF. This makes the plane-strain bulge test idea for studying the mechanical behavior of laminated composite NRTF in both the elastic and plastic regimes. An exact solution of governing equations for symmetric cross-ply BFRP laminated composite NRTF was established with taking in-to account the effect of the residual strength from pre-stressed loading. The stress-strain relationship of the BFRP laminated composite NRTF was determined by hydraulic bulging test. The NRTF thickness gradation in different points of hemisphere formed in bulge test was analysed.

• 응용통계연구
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• 제22권4호
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• pp.781-792
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• 2009

유전체 초기단계 연구에서는 비교적 소수의 마이크로어레이 샘플자료로서 실험을 진행하여 심도 깊게 연구해야 할 유전자 부분군(subsets)을 탐색하게 된다. 이러한 과정에서 요구되는 부분군 탐색에 사용되는 분석방법은 다수 샘플자료 분석의 경우와는 매우 다른 방법들이다. 유전자 극소수 샘플자료의 분석에 매우 적절한 방법인 랜덤검정법을 적용하여 정확한 P값(exact P value)의 이산형 분포가 얻어지고, 일양분포 귀무가설의 검정으로 유의 유전자가 존재하는지를 파악할 수 있다. 한 단계 더 나아가 Fuchs와 Kenett (1980)이 제시한 M 검정을 이용하여 이산형 P 값 다항분포에서 이상범주군(outlier cells)을 찾을 수 있으며 이로써 유의 유전자로서의 가능성이 있는 유전자군을 선정한다. 대다수의 마이크로어레이 유전체 연구에서 수 천 또는 수 만개의 유전자가 서로 독립이라고 가정하고 분석하는 것이 문제점이다. 그러나 본 논문에서는 유전자 연관성을 그대로 유지하는 순열에 기초한 랜덤검정법과 M 검정법으로서 유전자 연관성이 분석에 미치는 영향을 모의실험으로 알아보았으며, 그 영향이 결코 미약하지 않음을 확인할 수 있었다.

• Communications for Statistical Applications and Methods
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• 제21권4호
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• pp.297-307
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• 2014

We derive a test statistic for the general linear test in the ridge regression model. The exact distribution for the test statistic is too difficult to derive; therefore, we suggest an approximate reference distribution. We use numerical studies to verify that the suggested distribution for the test statistic is appropriate. A asymptotic result for the test statistic also is considered.

• 한국도로학회논문집
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• 제18권2호
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• pp.51-60
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• 2016

PURPOSES : The applicability of the mechanics-based similarity concept (suggested by Feng et al.) for determining scaled variables, including length and load, via laboratory-scale tests and discrete element analysis, was evaluated. METHODS: Several studies on the similarity concept were reviewed. The exact scaling approach, a similarity concept described by Feng, was applied in order to determine an analytical solution of a free-falling ball. This solution can be considered one of the simplest conditions for discrete element analysis. RESULTS : The results revealed that 1) the exact scaling approach can be used to determine the scale of variables in laboratory tests and numerical analysis, 2) applying only a scale factor, via the exact scaling approach, is inadequate for the error-free replacement of small particles by large ones during discrete element analysis, 3) the level of continuity of flowable materials such as SCC and cement mortar seems to be an important criterion for evaluating the applicability of the similarity concept, and 4) additional conditions, such as the kinetics of particle, contact model, and geometry, must be taken into consideration to achieve the maximum radius of replacement particles during discrete element analysis. CONCLUSIONS : The concept of similarity is a convenient tool to evaluate the correspondence of scaled laboratory test or numerical analysis to physical condition. However, to achieve excellent correspondence, additional factors, such as the kinetics of particles, contact model, and geometry, must be taken into consideration.

• 대한영상의학회지
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• 제81권5호
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• pp.1184-1193
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• 2020

목적 뇌량 미세출혈이 저산소 뇌 손상과 상관관계가 있는지 알아보고자 하였다. 대상과 방법 임상적으로 진단된 27명의 저산소 뇌 손상 환자군을 대상으로 후향적으로 연구를 진행하였다. 나이와 성별을 매칭한 대조군과 Fisher's exact test로 동반 질환, 뇌 미세출혈 유무를 비교하였다. 환자군은 뇌량 미세출혈의 유무로 나누어 비교하였다. Fisher's exact test로 두 그룹 간의 저산소 뇌 손상의 전형적인 자기공명영상 특징 유무, 심폐소생술 유무, 예후 정도를 비교하였고, Mann-Whitney U test로 저산소 뇌 손상 사건 발생 후 자기공명영상 획득까지의 시간 간격을 비교하였다. 결과 환자군에서 뇌 미세출혈은 29.6%에서 보였으며, 이는 대조군의 3.7%보다 통계적으로 유의하게 높았다(p = 0.012). 환자군에서의 모든 뇌 미세출혈은 뇌량에 국한됐다. 비뇌량 미세출혈군과 비교하여, 뇌량 미세출혈군은 좋은 예후를 보이는 경우가 많았고(6/8 vs. 11/19), 저산소 뇌 손상의 전형적인 자기공명영상 특징을 작은 비율에서 보이며(2/8 vs. 10/19), 심폐소생술이 많은 비율에서 시행됐으나(6/8 vs. 12/19) 통계적 유의성을 보이진 못하였다(p = 0.35, p = 0.19, p = 0.45, respectively). 결론 뇌량 미세출혈은 저산소 뇌 손상을 시사하는 부수적인 자기공명영상 특징이 될 수 있겠다.

• Journal of the Korean Statistical Society
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• 제13권2호
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• pp.73-80
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• 1984

In this paper, likelihood-ratio test has been derived for testing multisample sphericity in complex multivariate Gaussian populations. The $h^{th}$ moment of the test statistic is given and its exact distribution has been derived using inverse Mellin transform. Asymptotic distribution of the statistic is also given.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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• pp.211-214
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• 2003

This paper presents the microscopic observation results from the picture frame test using five-harness satin weave fabric composite. Aligned and misaligned specimens are observed to verify the exact tow deformation pattern such as tow interval and change in tow amplitude. To observe the micro-deformation of the fabric structure, appropriate specimens from picture frame test are sectioned and observed under the microscope. From the observation results, it is found that a picture frame test with a misaligned fibre orientation angle shows large differences in deformation between tensile and compressive tow directions.

• Journal of the Korean Data and Information Science Society
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• 제15권2호
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• pp.423-430
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• 2004

We provide the exact form of a Rao-Robson version of the chi-squared test of multivariate normality suggested by Park(2001). This test is easy to apply in practice since it is easily computed and has a limiting chi-squared distribution under multivariate normality. A self-contained formal argument is provided that it has the limiting chi-squared distribution. A simulation study is provided to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study in a nonnormal distribution is conducted in order to compare the power of our test with those of other popular normality tests.

• 대한조선학회논문집
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• 제41권4호
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• pp.45-52
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• 2004

Exact solution on the anti-symmetric response of ships having uniform sectional properties in waves is derived. Boundary value problem consisted of Timoshenko beam equation and free-free end condition is solved analytically. The responses are assumed as linear and wave loads are calculated by using strip method. Horizontal bending moment, shear force and torsional moment are calculated. The developed analysis model is used for the benchmark test of the numerical codes in this problem. Also the application on the preliminary design of barge-like ships and VLFS (Very Large Floating Structure) is expected