• Communications for Statistical Applications and Methods
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• 제26권6호
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• pp.539-556
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• 2019

This paper derive a method to solve change point regression problems via a process for obtaining consequential results using properties of a difference-based intercept estimator first introduced by Park and Kim (Communications in Statistics - Theory Methods, 2019) for outlier detection in multiple linear regression models. We describe the statistical properties of the difference-based regression model in a piecewise simple linear regression model and then propose an efficient algorithm for change point detection. We illustrate the merits of our proposed method in the light of comparison with several existing methods under simulation studies and real data analysis. This methodology is quite valuable, "no matter what regression lines" and "no matter what the number of change points".

• 대한토목학회논문집
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• 제31권5B호
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• pp.393-403
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• 2011

본 연구에서는 현재까지 경험적인 방법으로 적용되어 왔던 G/R 비를 선형 회귀선, 원점을 통과하는 선형 회귀선 및 원점과 관측자료의 무게중심을 지나는 추세선 등으로 구분하여 이론적으로 검토하였다. 이러한 검토에는 독립변수로 어떤 강우자료를 선택하느냐에 따른 문제와, 무강우 자료의 고려여부에 따른 영향 검토가 포함되었다. 이렇게 검토된 내용은 2003년에 발생한 태풍 매미 사상에 적용하여 평가하였다. 마지막으로 본 연구에서 유도된 회귀선 및 추세선을 이용한 레이더 강우의 보정결과와 관측된 우량계 강우 사이의 RMSE를 비교함으로서 최적의 G/R 비를 선정하였다. 그 결과는 다음과 같다. 먼저, 독립변수로 레이더 강우를 사용하는 것 보다는 우량계 강우를 사용하는 경우에 레이더 강우의 보정결과가 우수한 것으로 나타났다. 둘째, 무강우 자료의 영향은 레이더 및 우량계 자료의 구조에 따라 다르게 나타나는 것으로 확인되었다. 마지막으로 유도된 선형 회귀선 및 추세선의 평가 결과, 홍수 유출해석을 주목적으로 한 경우에는 독립변수에 우량계 자료를 적용하여 유도된 원점을 통과하는 선형 회귀선의 기울기를 G/R 비로 사용하는 것이 무난할 것으로 나타났다. 이 경우 무강우 자료의 영향은 상대적으로 미미한 것으로 나타났다.

• Asian-Australasian Journal of Animal Sciences
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• 제20권2호
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• pp.160-165
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• 2007

Dispersion parameters for the number of piglets born alive were estimated using a repeatability and random regression model. Six sow breeds/lines were included in the analysis: Swedish Landrace, Large White and both crossbred lines between them, German Landrace and their cross with Large White. Fixed part of the model included sow genotype, mating season as month-year interaction, parity and weaning to conception interval as class effects. The age at farrowing was modelled as a quadratic regression nested within parity. The previous lactation length was fitted as a linear regression. Random regressions for parity on Legendre polynomials were included for direct additive genetic, permanent environmental, and common litter environmental effects. Orthogonal Legendre polynomials from the linear to the cubic power were fitted. In the repeatability model estimate of heritability was 0.07, permanent environmental effect as ratio was 0.04, and common litter environmental effect as ratio was 0.01. Estimates of genetic parameters with the random regression model were generally higher than in the repeatability model, except for the common litter environmental effect. Estimates of heritability ranged from 0.06 to 0.10. Permanent environmental effect as a ratio increased along a trajectory from 0.03 to 0.11. Magnitudes of common litter effect were small (around 0.01). The eigenvalues of covariance functions showed that between 7 and 8 % of genetic variability was explained by individual genetic curves of sows. This proportion was mainly covered by linear and quadratic coefficients. Results suggest that the random regression model could be used for genetic analysis of litter size.

• 품질경영학회지
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• 제21권2호
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• pp.162-169
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• 1993

For the problem of testing the parallelism of several regression lines against ordered alternatives, two test statistics and proposed and examined. The proposed statistics are linear combinations of robust estimators of slope parameters, which are modifications of the Adichie (1976) test based on scores. The asymptotic null variances of the proposed states tics are estimated by the kernel density estimation methods. The proposed tests are compared with the Adichie's test in terms of asymptotic relative efficiency and small-sample powers.

• 응용통계연구
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• 제8권2호
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• pp.77-86
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• 1995

본 논문에서는 두 회귀직선의 평행성에 대한 로버스트 검정법을 제안하고, 모의실험과 예를 통하여 기존의 방법들과 유의수준의 안정성 및 검정력의 측면에서 비교하였다. 제안된 검정법은 Song et al. (1994b)에 의하여 제안된 최소절사제곱 추정량을 초기치로 하는 일단계 GM-추정량에 기초를 두고 있다. 이 추정량은 최대붕괴점과 유계영향함수를 갖는 것으로 알려져 있다.

• 응용통계연구
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• 제7권1호
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• pp.19-34
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• 1994

본 논문에서는 K개의 회귀직선에서 기울기들의 우산형 대립가설에 대한 평행성을 검정하는 비모수 검정법을 제안하고 제안된 검정법의 점근적 성질들을 고찰하고자 한다. 정점을 알고 있는 경우와 모르고 있는 경우로 구분하여 검정법을 제시하고 몇몇 분포에 대해 모의 실험을 해본 결과 제안된 검정통계량이 꼬리가 두터운 분포에서 우도비 검정법들보다 검정력이 우수함을 보였다.

• 한국전문물리치료학회지
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• 제8권3호
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• pp.63-76
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• 2001

Many studies have shown that the initial median frequency (MDF) and slope correlate with the muscle fiber composition. This study tested the hypothesis that the initial MDF and slope are fixed, regardless of the interval at which data are collected. MDF data using moving fast Fourier transformation of EMG signals, following local fatigue induced by isotonic exercise, were obtained. An inverse FFT was used to eliminate noise, and characteristic decreasing regression lines were obtained. The regression analysis was done in three different periods, the first one third, first half, and full period, looking at variance in the initial MDF, slope, and fatigue index. Data from surface EMG signals during fatiguing isotonic exercise of the biceps brachii and vastus lateralis in 20 normal subjects were collected. The loads tested were 30% and 60% maximum voluntary contraction (MVC) in the biceps brachii and 40% and 80% MVC in the vastus lateralis. The rate was 25 flexions per minute. There were no significant differences in the initial MDF or slope during the early or full periods of the regression, but there was a significant difference in the fatigue index. Therefore, to observe the change in the initial MDF and slope of the MDF regression line during isotonic exercise, this study suggest that only the early interval need to be observed.

• 한국작물학회지
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• 제42권5호
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• pp.539-547
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• 1997

This study was carried out to identify how soybean seed protein concentration is influenced by climatic factors. Twelve lines selected for seed protein concentration were studied in 13 environments of North Carolina. Sensitivity of seed protein concentration, total seed protein, and seed yield to climatic variables was investigated using a linear regression model. Best response models were determined using two stepwise selection methods, Maximum R-square and Stepwise Selection. There were wide climatic effects in seed protein concentration, total protein and seed yield. The highest protein concentration environment was characterized by the most high temperature days(HTD) and the smallest variance of average daily temperature range (VADTRg), while the lowest protein concentration environment was distinguished by the fewest HTD and the largest VADTRg. For protein concentration, all lines responded positively to average maximum daily temperature(MxDT), HTD, and average daily temperature range(ADTRg) and negatively to ADRa, while they responded positively or negatively to average daily temperature(ADT), variance of average minimum daily temperature (VMnDT), and VADTRg, indicating that genotypes may greatly differ in degrees of sensitivity to each climatic variable. Eleven lines seemed to have best response models with 2 or 3 variables. Exceptionally, NC106 did not show a significant sensitivity to any climatic variable and thus did not have a best response model. This indicates that it may be considered phenotypically more stable. For total seed protein and seed yield, all the lines responded negatively to both ADTRg and VADRa, suggesting that synthesis of seed components may increase with less daily temperature range and less variation in daily rainfall.

• Journal of the Korean Statistical Society
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• 제7권1호
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• pp.17-26
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• 1978

For testing $\beta_i=\beta, i=1,...,k$, in the regression model $Y_{ij} = \alpha_i + \beta_ix_{ij} + e_{ij}, j=1,...,n_i$, a simple and robust test based on Kendall's tau is proposed. Its asymptotic distribution is proved to be chi-square under the null hypthesis and noncentral chi-square under an appropriate sequence of alternatives. For the optimal designs, the asymptotic relative efficiency of the proposed procedure with respect to the least squares procedure is the same as that of the Wilcoxon test with respect to the t-test.

• 한국응용약물학회:학술대회논문집
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• 한국응용약물학회 1993년도 제2회 신약개발 연구발표회 초록집
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• pp.74-74
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• 1993

The in vitro cytotoxicity of SKI 2053R was evaluated against human tumor cell lines along with those of cisplatin and carboplatin using MTT assay. The cell lines tested were two human lung cancer cell lines and five human stomach cancer celt lines. The level of cytotoxic effects of SKI 2053R against two human lung cancer cell lines was located between cisplatin and carboplatin. However, the cytotoxic activity of SKI 2053R against five human stomach cancer cell lines was similar to that of cisplatin. SKI 2053R is considered to be selectively cytotoxic toward human stomach cancer cell lines. We carried out pharmacokinetic and ex vivo phrmacodynamic studies of SKI 2053R in beagle dogs to predict the clinical antitumor effect of SKI2053R, comparing with those of cisplatin and carboplatin. In ex vivo pharmacodynamics which used MTT assay as bioassay on the 2 lung and 5 stomach cancer cell, mean antitumor indexes (ATIs) of SKI 2053R were highest among three compounds in both lung and stomach cancer cell lines, especially in stomach cancer cell. Much higher ATI profile and maximal inhibition rates of SKI 2053R appeared in the stomach cancer cells will give desirable advantages to clinical trial s against gastric carcinoma. The anti tumor activity and target organ toxicity of SKI 2053R were compared with those of cisplatin on stomach cancer cell line, KATO III xenografted into nude BALB/c(nu/nu) mice. All groups of cisplatin and SKI 2053R showed active tumor regression. The inhibition rates(IR) of SKI 2053R were higher than that of cisplatin on the basis of mean IR. Though the loss of body weight was observed in all groups from the first week, the SKI 2053R group recovered it soon from the third week after the initiation of treatment, maintaining the most active anti tumor activity among three groups.