• 대한안전경영과학회지
• /
• 제9권2호
• /
• pp.161-169
• /
• 2007

This paper presents three methods for expression of reliability measures for large and small data. First method is to express parametric estimation of cardinal reliability measure data for large sample, which requires numerous sample. Second is to obtain nonparametric distribution classification of ordinal reliability measure data for small sample. However it is difficult for field user to understand this method. Last method is to acquire parametric estimation of ordinal reliability measure data for small data. Because this method requires small sample and is comprehensive, we recommend this one among the proposed methods. Various reliability rank measures are presented.

• Communications for Statistical Applications and Methods
• /
• 제8권2호
• /
• pp.407-416
• /
• 2001

Sample surveys are usually designed and analyzed to produce estimates for a large area or populations. Therefore, for the small area estimations, sample sizes are often not large enough to give adequate precision. Several small area estimation methods were proposed in recent years concerning with sample sizes. Here, we will compare simple Bayesian approach with Bayesian prediction for small area estimation based on linear regression model. The performance of the proposed method was evaluated through unemployment population data form Economic Active Population(EAP) Survey.

• 통합자연과학논문집
• /
• 제14권3호
• /
• pp.123-129
• /
• 2021

This research examines the effect of positively skewed population distribution on the two sample t-test through simulation. For simulation work, two independent samples were selected from the same chi-square distributions with 3, 5, 10, 15, 20, 30 degrees of freedom and sample sizes 3, 5, 10, 15, 20, 30, respectively. Chi-square distribution is largely skewed to the right at small degrees of freedom and getting symmetric as the degrees of freedom increase. Simulation results show that the sampled populations are distributed positively skewed like chi-square distribution with small degrees of freedom, the F-test for the equality of variances shows poor performances even at the relatively large degrees of freedom and sample sizes like 30 for both, and so it is recommended to avoid using F-test. When two population variances are equal, the skewness of population distribution does not affect on the t-test in terms of the confidence level. However even though for the highly positively skewed distribution and small sample sizes like three or five the t-test achieved the nominal confidence level, the error limits are very large at small sample size. Therefore, if the sampled population is expected to be highly skewed to the right, it will be recommended to use relatively large sample size, at least 20.

• 한국지반공학회:학술대회논문집
• /
• 한국지반공학회 2008년도 추계 학술발표회
• /
• pp.1109-1114
• /
• 2008

To investigate the effect of sample size on coefficient of consolidation of non-homogeneous soil, the result of a large size consolidation test using a huge undisturbed sample with $1200mm(D){\times}2000mm(H)$ in dimension is compared with that of oedometer test using undisturbed small sample. In addition, test results are compared with those of same test using remold sample. Experimental results show that, due to the lump of sand/silt was mixed in sample, the coefficient of consolidation of undisturbed samples have a difference for each tests. Whereas, the difference of coefficient of consolidation between remolded large and small samples is not found. Because sample size affects the test results, sample must be carefully selected for non-homogeneous soil.

• 응용통계연구
• /
• 제15권2호
• /
• pp.297-310
• /
• 2002

Liang과 Zeger는 이산형 혹은 연속형 반복측정자료를 분석하기 위한 일반화 추정방정식 (GEE)을 제안하였다 GEE모형은 범주형 반복측정자료의 모형으로 확장될 수 있으며, 이 GEE추정량은 대표본인 경우 다변량 정규분포를 따른다. 그러나 GEE는 대표본근사이론에 기초한다. 본 논문에서는 소표본인 경우 반복 측정된 순서자료에 대한 GEE추정량의 성질을 연구한다. 우리는 두가지 방법을 사용하여 두그룹의 반복 측정된 순서자료를 생성하며 모의실험을 통하여 소표본인 경우 여러 개 범주를 갖는 순서반응 자료에 대하여 GEE추정량의 1종 오류율, 검정력, 상대효율, 두 그룹의 표본크기가 다를 경우 효과, 그리고 분산 추정량의 성질등을 연구한다.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제2권1호
• /
• pp.41-60
• /
• 1998

This paper derives a consistent and bias corrected extension of Akaike's Information Criterion (AIC), $AIC_{bc}$, based on Kullback-Leibler information. This criterion has terms that penalize the overparametrization more strongly for small and large samples than that of AIC. The overfitting problem of the asymptotically efficient model selection criteria for small and large samples will be overcome. The $AIC_{bc}$ also provides a consistent model order selection. Thus, it is widely applicable to data with small and/or large sample sizes, and to cases where the number of free parameters is a relatively large fraction of the sample size. Relationships with other model selection criteria such as $AIC_c$ of Hurvich, CAICF of Bozdogan and etc. are discussed. Empirical performances of the $AIC_{bc}$ are studied and discussed in better model order choices of a linear regression model using a Monte Carlo experiment.

• Journal of the Korean Data and Information Science Society
• /
• 제11권1호
• /
• pp.83-90
• /
• 2000

이원분할표의 두 범주형 변수에 대한 독립성을 검정할 때 흔히 카이제곱 검정통계량이 사용된다. 표본추출 모형이 다항이나 곱다항인 경우 이 검정통계량이 독립성 가정하에서 근사적으로 카이제곱 분포를 따르게 되는 것은 잘 알려진 사실이다. 두 주변값이 모두 주어진 경우 독립성 가정하에서 표본추출 모형은 다중 초기하분포가 되며 앞의 모형과 마찬가지로 카이제곱 통계량에 근거한 검정을 사용할 수 있다. 이 연구에서는 주변값이 주어진 경우에 카이제곱 통계량의 소표본 분포를 대표본 분포인 카이제곱 분포와 비교하고자 한다. 표본크기가 작은 몇 개의 경우에 대해 카이제곱 통계량의 소표본 분포를 직접 계산해보았다. 표본크기가 큰 몇 개의 경우는 간단한 몬테칼로 알고리듬을 통해 소표본 분포를 생성하고 카이제곱 확률도와 콜모고로브-스미노브 단일표본 검정을 이용하여 대표본 분포와의 일치성을 알아보았다.

• Journal of the Korean Data and Information Science Society
• /
• 제22권6호
• /
• pp.1223-1232
• /
• 2011

Tong and Wang's estimator (2005) is a new approach to estimate the error variance using least squares method such that a simple linear regression is asymptotically derived from Rice's lag- estimator (1984). Their estimator highly depends on the setting of a regressor and weights in small sample sizes. In this article, we propose a new approach via a local quadratic approximation to set regressors in a small sample case. We estimate the error variance as the intercept using a ridge regression because the regressors have the problem of multicollinearity. From the small simulation study, the performance of our approach with some existing methods is better in small sample cases and comparable in large cases. More research is required on unequally spaced points.

• 전자공학회논문지B
• /
• 제33B권7호
• /
• pp.107-115
• /
• 1996

The average distortio of the vector quantizer is calcualted using a probability function F of the input source for a given codebook. But, since the input source is unknown in geneal, using the sample vectors that is realized from a random vector having probability function F, a time-average opeation is employed so as to obtain an approximation of the average distortion. In this case the size of the smple set should be large so that the sample vectors represent true F reliably. The theoretical inspection about the approximation, however, is not perfomed rigorously. Thus one might use the time-average distortion without any verification of the approximation. In this paper, the convergence characteristics of the time-average distortions are theoretically investigated when the size of sample vectors or the size of codebook gets large. It has been revealed that if codebook size is large enough, then small sample set is enough to obtain the average distortion by approximatio of the calculated tiem-averaged distortion. Experimental results on synthetic data, which are supporting the analysis, are also provided and discussed.

• 한국산학기술학회논문지
• /
• 제14권1호
• /
• pp.143-147
• /
• 2013

본 연구는 기업지배구조가 차입비용에 미치는 영향을 외국인 기관투자자의 역할에 초점을 맞추면서 분석하였다. 서로 다른 지배구조에 따른 차입비용에 영향을 보기 위해, 최대주주 지분율 기준으로 소유 집중도가 작은 기업표본, 중간 기업표본, 큰 기업표본으로 분류하여 회귀분석을 실시하였다. 분석결과, 소유 집중도가 중간이나 작은 기업표본에서는 외국인 투자자가 기업 차입비용에 영향을 미치는 것이 확인되지 않았으나, 소유 집중도가 큰 기업표본에서는 외국인 투자자가 기업의 차입비용을 크게 감소시키고 있는 것으로 나타났다. 본 연구의 학술적 시사점으로는, 지배대주주의 지분율이 높아질수록 이해일치가설에 의해 지배대주주는 자신의 사적 이익을 추구하게 되어 대리인 비용이 증가하고 경제적 가치가 하락하여 신용위험과 차입비용 증가로 이어질 수 있다는 것을 보여 준다. 실무적 시사점으로는, 외국인 투자자는 소유 집중도가 큰 기업에서 지배 대주주를 잘 견제 감시하고 경영의 외부감시 주체로서 경영 의사결정 효율화에 중요한 역할을 담당할 수 있다는 것을 보여준다.