• Journal of the Korean Statistical Society
• /
• 제24권2호
• /
• pp.551-562
• /
• 1995

We consider the iterated bootstrap method in regression model with heterogeneous error variances. The iterated wild bootstrap confidence intervla of the mean response is considered. It is shown that the iterated wild bootstrap confidence interval has coverage error of order $n^{-1}$ wheresa percentile method interval has an error of order $n^{-1/2}$. The simulation results reveal that the iterated bootstrap method calibrates the coverage error of percentile method interval successfully even for the small sample size.

• 한국시뮬레이션학회논문지
• /
• 제9권3호
• /
• pp.43-51
• /
• 2000

In regression model, we estimate the unknown parameters by using various methods. There are the least squares method which is the most general, the least absolute deviation method, the regression quantile method and the asymmetric least squares method. In this paper, we will compare each others with two cases: firstly the theoretical comparison in the asymptotic sense and then the practical comparison using Monte Carlo simulation for a small sample size.

• Journal of the Korean Data and Information Science Society
• /
• 제19권4호
• /
• pp.1247-1253
• /
• 2008

In this paper, we propose a interval censored regression spline model with a variance function (non-constant variance that depends on a predictor). Simulation studies show our estimates from MCECM algorithm are consistent, but biased when the sample size is small because of boundary effects. Also, we examined how the distribution of $x_i$ affects the converging speed of these consistent estimates.

• 한국시뮬레이션학회:학술대회논문집
• /
• 한국시뮬레이션학회 2000년도 추계학술대회 논문집
• /
• pp.6-10
• /
• 2000

In regression model we estimate the unknown parameters using various methods. There are the least squares method which is the most general, the least absolute deviation, the regression quantile and the asymmetric least squares method. In this paper, we will compare each others with two case: to begin with the theoretical comparison in the asymptotic sense, and then the practical comparison using Monte Carlo simulation for a small sample size.

• Journal of the Korean Academy of Child and Adolescent Psychiatry
• /
• 제30권4호
• /
• pp.136-144
• /
• 2019

Early identification and intervention for autism spectrum disorder (ASD) were reported to be important for outcomes or clinical courses. However, there have been a few robust evidences for effectiveness of early intervention until now. This review aims to identify the effectiveness of early intervention by investigating the randomized controlled trial (RCT) of early intervention for autism. There are some RCT studies using behavioral program. Although there are some significant findings, the outcome measurements and small sample size are the limitations. Further studies are needed.

• 통합자연과학논문집
• /
• 제7권3호
• /
• pp.208-213
• /
• 2014

National-wide and/or large scale sample surveys generally use complex sample design. Traditional Pearson chi-square test is not appropriate for the categorical complex sample data. Rao-Scott suggested an adjustment method for Pearson chi-square test, which uses the average of eigenvalues of design matrix of cell probabilities. This study is to compare the efficiency of Rao-Scott first order adjusted test to Wald test for homogeneity between two populations using 2009 Gyeongnam regional education offices's customer satisfaction survey (2009 GREOCSS) data. The 2009 GREOCSS data were collected based on stratified three-stage cluster sampling with probability proportional to size. The empirical results show that the Rao-Scott adjusted test statistic using only the variances of cell probabilities is very close to the Wald test statistic, which uses the covariance matrix of cell probabilities, under the 2009 GREOCSS data based. However it is necessary to be cautious to use the Rao-Scott first order adjusted test statistic in the place of Wald test because its efficiency is decreasing as the relative variance of eigenvalues of the design matrix of cell probabilities is increasing, specially more when the number of degrees of freedom is small.

• Communications for Statistical Applications and Methods
• /
• 제19권3호
• /
• pp.315-331
• /
• 2012

2011년 3월 오프라인 노래연습장, 유흥 단란주점 표본조사업소에서 수집한 곡목별 히팅수 로그데이터로부터 강남지부 등 총 11개 지부의 히팅수와 히팅수 표본오차를 추정하였다. 업소에서 징수한 음악저작물 사용료를 추정된 곡목별 히팅수를 기준으로 관계권리자(작곡, 작사, 편곡자 등)에게 분배하는 현행 분배방식에 따라 표본오차 규모를 금액으로 환산하여 크기를 검토하였다. 기존표본은 과소하여 히팅수 추정시 표본오차를 과다하게 발생시켰으며, 본 연구에서는 히팅수 추정오차를 줄여 음악저작권사용료 분배에 형평성을 기할 수 있는 합리적인 표본크기 개선방안을 제안하였다.

• 한국해양공학회지
• /
• 제28권4호
• /
• pp.338-344
• /
• 2014

The purpose of this study was to evaluate the dispersion degree of particles using a nanoindentation test for titanium oxide nanoparticles/epoxy resin nanocomposites. Thus, the effects of the particle size and weight fraction, dispersion agent, and position of the sample on the modulus and degree of particle dispersion in the nanocomposites were investigated. As a result, the dispersion degree of large particles was found to be better than that of smaller particles in composites. It could be found that the aggregation or agglomeration of small particles with large surface energy occurred more easily in nanocomposites because of the large specific surface area. The moduli of the upper side of the film-shaped sample obtained from a nanoindentation test were low scattering, while the values for the bottom side were high scattering. Thus, the dispersion situation of the nanoparticles on the upper side of film-shaped samples could be considered to be better than that for the bottom side. This could be concluded due to the non-uniform nanoparticle dispersion in the same sample. The modulus obtained from nanoindentation test increased slightly with the content of nanoparticles and increased with the indented depth for the same sample. The latter is presumably due to the increase in the accumulated particles facing the indenter with the indented depth. The nanoindentation test was found to be a useful method to evaluate the dispersion status of nanoparticles in nanocomposites.

• Journal of the Korean Data and Information Science Society
• /
• 제9권2호
• /
• pp.289-298
• /
• 1998

We investigate the distribution of likelihood ratio test(LRT) of null hypothesis a sample is from single gamma with unknown shape and scale against the alternative hypothesis a sample is from a mixture of two gammas, each with unknown scale and unknown (but equal) scale. To obtain stable maximum likelihood estimates(MLE) of a mixture of two gamma distributions, the EM(Dempster, Laird, and Robin(1977))and Modified Newton(Jensen and Johansen(1991)) algorithms were implemented. Based on EM, we made a simple structure likelihood equation for each parameter and could obtain stable solution by Modified Newton Algorithms. Simulation study was conducted to investigate the distribution of LRT for sample size n = 25, 50, 75, 100, 50, 200, 300, 400, 500 with 2500 replications. To determine the small sample distribution of LRT, I considered the model of a gamma distribution with shape parameter equal to 1 + f(n) and scale parameter equal to 2. The simulation results indicate that the null distribution is essentially invariant to the value of the shape parameter. Modeling of the null distribution indicates that it is well approximated by a gamma distribution with shape parameter equal to the quantity $0.927+1.18/\sqrt{n}$ and scale parameter equal to 2.16.

• 한국컴퓨터정보학회논문지
• /
• 제11권4호
• /
• pp.9-15
• /
• 2006

본 논문에서는 잡음영상에서 효과적인 에지검출을 위해 이표본 위치문제(two-sample location Problem)에서 잘 알려진 선형 순위 검정법(linear raft test)인 Wilcoxon 검정법, Median 검정법 그리고 Van der Waerden 검정법을 적용하고자 한다. 에지 존재 유무는 에지-높이 모수(edge-height parameter)를 사용한 모형 하에서 인접한 두 개의 근방영역간의 평균 차이를 검정함으로서 통계적으로 결정한다. 여기서 근방영역의 크기와 형태는 에지검출을 위한 계산 속도와 에지방향을 고려하여 적응성 있게(adaptively) 결정하였다. 통계적 방법들의 에지검출 성능을 평가하기 위해 자연영상(natural images)과 인조영상(synthetic images) 그리고 잡음이 추가된 영상에 대해 실험을 실시하고 비교 분석하였다.