• Journal of the Korean Statistical Society
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• 제26권4호
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• pp.453-465
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• 1997

The family of power-divergence statistics conditional on margins is considered for testing homogeneity of .tau. multinomial populations with equal sample size and the exact Bahadur slope is obtained. It is shown that the likelihood ratio test conditional on margins is the most Bahadur efficient among the family of power-divergence statistics.

• Communications for Statistical Applications and Methods
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• 제23권5호
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• pp.433-444
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• 2016

When we observe binary responses in a cluster (such as rat lab-subjects), they are usually correlated to each other. In clustered binomial counts, the independence assumption is violated and we encounter an extra-variation. In the presence of extra-variation, the ordinary statistical analyses of binomial data are inappropriate to apply. In testing the homogeneity of proportions between several treatment groups, the classical Pearson chi-squared test has a severe flaw in the control of Type I error rates. We focus on modifying the chi-squared statistic by incorporating variance inflation factors. We suggest a method to adjust data in terms of dispersion estimate based on a quasi-likelihood model. We explain the testing procedure via an illustrative example as well as compare the performance of a modified chi-squared test with competitive statistics through a Monte Carlo study.

• 한국환경과학회지
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• 제28권11호
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• pp.1041-1045
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• 2019

In this study, the KS A ISO Guide 35 was applied to develop analytical standards for heavy metal cadmium using the Korean mussel (Mytilus coruscus) and to evaluate the homogeneity and stability of the sample. Some of the crucial characteristics that reference materials must consist include homogeneity and stability of both intra- and inter-bottles. We tested homogeneity using ANOVA analysis and short-term stability using regression analysis. The variations of cadmium concentrations did not significantly differ between intra- and inter-bottles (F=0.41, p=0.90). For short-term stability verification, cadmium analysis results were not statistically significant as a result of the regression analysis (significance F=0.51, p=0.53). This suggests that we can not dismiss the null hypothesis that there is no significant variation in concentrations of cadmium over time. These results indicated that the cryogenic-milling process has statistically proven the short-term stability for materials from mussels in the chemical analysis of cadmium. Therefore, we propose that the Korean mussel's reference material developed for the proficiency test could be used as a tool to evaluate reliability and consistency in laboratories.

• Communications for Statistical Applications and Methods
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• 제7권1호
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• pp.55-64
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• 2000

We propose a criterion for testing homogeneity of matrix intraclass covariance matrices of K multivariate normal populations, It is based on a variable transformation intended to propose and develop a likelihood ratio criterion that makes use of properties of eigen structures of the matrix intraclass covariance matrices. The criterion then leads to a simple test that uses an asymptotic distribution obtained from Box's (1949) theorem for the general asymptotic expansion of random variables.

• International Journal of Computer Science & Network Security
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• 제23권1호
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• pp.103-111
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• 2023

Implementing conventional DFT solution for arrays of DNN accelerators having large number of processing elements (PEs), without considering architectural characteristics of PEs may incur overwhelming test overheads. Recent DFT based techniques have utilized the homogeneity and dataflow of arrays at PE-level and Core-level for obtaining reduction in; test pattern volume, test time, test power and ATPG runtime. This paper reviews these contemporary test solutions for ASIC based DNN accelerators. Mainly, the proposed test architectures, pattern application method with their objectives are reviewed. It is observed that exploitation of architectural characteristic such as homogeneity and dataflow of PEs/ arrays results in reduced test overheads.

• Communications for Statistical Applications and Methods
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• 제17권1호
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• pp.79-88
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• 2010

기초통계학의 수업에서 두 집단간 평균의 차이를 검정함에 있어 두 집단의 분산의 동질성 여부에 따라 다른 통계 절차를 사용할 것을 제안하고 있다. 이러한 이유로 통계 분석에 사용되는 SAS나 SPSS 등의 패키지에서는 두 집단의 평균 차이의 검정에 앞서 분산의 동질성 검정을 선행할 것을 제안한다. 하지만, 이전의 몇몇 연구에서 알려진 바와 같이 이러한 이 단계 검정 절차는 검정의 유의수준(제 1종의 오류)을 제어하기가 어렵다. 본 글에서는 이 단계 검정을 행함에 있어 1 단계와 2 단계의 유의수준 ${\alpha}_1$과 ${\alpha}_2$를 조절하여 전체 검정의 유의수준을 주어진 ${\alpha}$ 이하로 제어하는 절차를 소개한다.

• 한국구조물진단유지관리공학회 논문집
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• 제18권4호
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• pp.107-117
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• 2014

본 연구는 실제 구조진단 사례에 기초하여 재료와 형식 및 공용기간에 따라 교량의 응답, 충격계수, 고유진동수 및 각 특성의 해석값/계측값 비 등에 관한 기술통계를 분석하고 주재료에 따른 T-검정과 구조형식 및 공용기간에 따른 분산분석을 통해서 요인 부집단 수준 간동질성 검정 및 다중비교분석을 수행하였다. 본 연구 결과는 응답 분포의 중심값, 산포도, 대칭성 등 통계적 특성 및 비교분석 집단 간 동질성 식별을 위한 참조값을 제공하며, 이것은 내하력 평가 등 구조 진단과 설계에서 엔지니어들이 취득한 계산 또는 계측값의 타당성을 비교검토하고 데이터베이스를 활용하는 등의 공학적 판단을 하는데 실제적으로 유용한 정보를 제공할 것으로 기대된다.

• 한국지하수토양환경학회지:지하수토양환경
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• 제18권5호
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• pp.15-25
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• 2013

In this study, two kinds of soil-based proficiency testing materials (PTMs), NICE-012L and NICE-012R were prepared and certified for Benzen, Toluene, Etylbenzene and Xylene with evaluation of uncertainties. In order to analyse BTEX (Benzen Toluene Etylbenzene Xylene) for the candidate materials, GC/MS was used after pretreatment according to methods of soil analysis by Ministry of Environment. For the homogeneity test among bottles in terms of candidate materials, ISO 13528 and IUPAC Protocol were used and according to the result, both candidate materials showed sufficient homogeneity. Also, the stability test over the candidate materials was accessed according to the ISO Guide 35 by classifying short-term and long-term stability and the result showed that both candidate materials showed decent stability. The reference values of the two candidate materials depending on BTEX components were derived from the average of the 11 samples that were used for verification of the samples' homogeneity. Uncertainty of measurement was combined by uchar that was caused by a characteristic value, $u_{bb}$ that was caused by between-bottle homogeneity, and $u_{stab}$ that was caused by stability, and then combined uncertainty ($u_{PTM}$) was multiplied to the coverage factor (k) derived from the effective degree of freedom from each factor that leads to expanded uncertainty (U) in about 95% of confidence level. The proficiency testing materials developed through this study were supplied to National Institute of Environmental Research (NIER) and utilized as an external proficiency testing materials for evaluating analysis capacity of soil agencies with specialty in terms of soil analysis approved by Minister of Environment.

• 대한지리학회지
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• 제46권1호
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• pp.20-35
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• 2011

본 연구에서는 기온자료의 품질검정, 기준시계열 생산, 동질성 검증 및 보정에 대한 체계적인 단계를 제시하고, 이러한 과정을 통해 생산된 연 계절평균기온을 이용하여 보다 정확한 기온변화 경향을 파악하고자 하였다. 품질검정에 의한 오류 자료는 모두 내적 불일치성 검사에 의해 탐지되었다 본 연구에서 사용한 동질성 검증 방법은 관측지점의 이전(relocation) 시그널을 비교적 잘 추출하여 우리나라 기온자료 동질성 검증에 적합한 방법으로 판단된다 연 및 계절별 평균기온의 보정 이후가 보정 이전 보다 증가 규모가 커졌다. 이러한 동질성 검증 및 보정으로 생산된 고품질의 기온자료는 보다 정확한 기후변화 특성 및 경향 연구에 도움이 될 것이다.

• 통합자연과학논문집
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• 제12권3호
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• pp.91-99
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• 2019

Many researchers in various study fields use the two sample t-test to confirm their treatment effects. The two sample t-test is generally used for small samples, and assumes that two independent random samples are selected from normal populations, and the population variances are unknown. Researchers often conduct F-test, the test of equality of variances, before testing the treatment effects, and the test statistic or confidence interval for the two sample t-test has two formats according to whether the variances are equal or not. Researchers using the two sample t-test often want to know how large sample sizes they need to get reliable test results. This research gives some guidelines for sample sizes to them through simulation works. The simulation had run for normal populations with the different ratios of two variances for different sample sizes (${\leq}30$). The simulation results are as follows. First, if one has no idea equality of variances but he/she can assume the difference is moderate, it is safe to use sample size at least 20 in terms of the nominal level of significance. Second, the power of F-test for the equality of variances is very low when the sample sizes are small (<30) even though the ratio of two variances is equal to 2. Third, the sample sizes at least 10 for the two sample t-test are recommendable in terms of the nominal level of significance and the error limit.