• Title/Summary/Keyword: 분위회귀법

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An Estimation of Regression Equation for Temporal Distribution of Design Rainfall Using Variable Selection Method (변수선택 방법을 이용한 설계강우량 시간분포 회귀식의 산정)

  • Lee, Sung Ho;Lee, Jae Joon;Park, Jin Hee;Rhee, Dong Sop
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.169-169
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    • 2018
  • 국내에서는 유량자료의 부족으로 수공구조물을 설계하기 위한 기초자료로서 설계강우량을 활용하고 있다. 따라서 설계강우량의 산정 및 시간분포가 중요한 요인으로 작용하고 있으며, 국내에서는 설계강우량 시간분포를 위한 방법으로 Huff의 4분위 방법을 사용하는 것이 일반적이다. 실무에서는 확률강우량도 개선 및 보완연구(Ministry of Land, Transport and Maritime Affairs, 2011)에서 제시한 관측소별 Huff의 무차원 누가우량 백분율을 이용하여 Huff의 4분위 방법 중 3분위의 자료를 이용하여 시간분포 회귀식을 산정하고 있으며, 회귀식의 차수는 전반적으로 결정계수가 높은 6차식을 사용하고 있다. 회귀식의 경우 고차식으로 갈수록 결정계수가 높아지는 것은 당연하지만 4차 이상의 회귀식에서는 결정계수의 차이가 미미하므로 6차식을 사용하는 것이 합리적이라고 할 수 없다. 따라서 본 연구에서는 통계적 유의수준에 기초하여 Huff 4분위 방법의 시간분포 회귀식에 대한 유의성 검정을 실시하여 회귀계수에 대한 통계적 검증을 실시하고 변수선택 방법인 전방선택법(Forward Selection)을 이용하여 유의하지 않은 회귀계수들을 제외하면서 가장 좋은 변수들로 구성된 간결한 설계강우량 시간분포 회귀식을 산정하고자 한다. 또한 산정된 회귀식과 기존 확률강우량도 개선 및 보완연구(Ministry of Land, Transport and Maritime Affairs, 2011)에서 제시한 회귀식과 비교하여 변수선택 방법인 전방 선택법(Forward Selection)을 이용하여 산정된 회귀식의 적합성을 검증하고자 한다.

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Comparison of Regression Coefficient Significance Test for Temporal Distribution by Multiple Regression Analysis Method (다중회귀분석 방법에 따른 시간분포 회귀식의 회귀계수 유의성 검정 비교)

  • Lee, Sung Ho;Lee, Jae Joon;Park, Jin Hee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.205-205
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    • 2019
  • 우리나라에서 강우의 시간분포를 위해 보편적으로 사용되고 있는 방법은 Huff 4분위법으로 강우의 시간적 분포특성을 나타내는 무차원 시간분포곡선을 제시한 것으로, 강우의 지속기간을 4분위로 구분하여 각 분위의 강우량 중 가장 큰 값이 속해 있는 구간을 선택하여 그 구간의 위치에 따라 분위를 정하는 방법이다. 현재 실무에서는 Huff의 분위별 곡선에 대한 회귀식은 지속기간 전반에 걸쳐 정확도가 높은 이유로 6차식을 적용하고 있으나, 통계 모델링에서 간결함의 원리에 따라 회귀식이 간결할 필요가 있으며, 통계적 유의수준에 기초하여 회귀계수를 결정하여야 하므로 유의성 검정 방법을 통한 검정결과를 비교할 필요가 있다. 따라서 본 연구에서는 다중회귀분석 방법에 따른 회귀계수 유의성 검정결과 비교를 위하여 구미지역의 무차원 누가우량 백분율을 이용한 시간분포 회귀식을 이용하여 유의성 검정 방법인 분산분석 방법(Analysis of Variance)과 변수선택 방법(Backward Selection)의 검정 결과를 도출 및 비교하였다. 통계프로그램인 프로그래밍 R을 이용하여 변수선택 방법 중 후방제거법 함수를 이용하여 최종 회귀식을 도출하고 또한 7차 회귀식을 분산분석을 이용한 후방제거법으로 회귀계수를 제거하는 방법으로 최종 회귀식을 산정하였다. 분산분석을 이용한 후방제거법의 유의성 검정결과는 프로그래밍 R을 이용한 후방제거법의 결과와 동일한 것으로 분석되었다. 일반적으로 설계강우량의 시간분포를 위한 방법으로 사용되고 있는 Huff의 4분위 방법의 시간분포 회귀식은 회귀계수의 유의성 검정이 이루어지고 있지 않으므로 본 연구결과를 통해 설계강우량 시간분포 회귀식의 유의성 검정방법 제시 및 결과도출과정을 통해 시간분포 회귀식 산정기법으로 활용할 수 있을 것으로 사료된다.

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A Study on the User Satisfaction of Demand Response Transport(DRT) by Quantile Regression Analysis (분위회귀분석에 의한 수요응답형교통 이용자 만족도 분석)

  • Jang, Tae Youn;Han, Woo Jin;Kim, Jeong Ho
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.15 no.3
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    • pp.118-128
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    • 2016
  • As the rural areas have experienced the population reduction and the aging, the service level of public transit decreases. This study analyzes the effecting factor to user satisfaction of demand response transport(DRT) as alternative to rural public transit by the quantile regression that aims at estimating either the conditional median or other quantiles of the response variable. Jeonbuk Province tested DRT operations in Dongsang of Wanju County and Sannae of Jeongup City each in 2015. The user DRT satisfaction of Wanju was higher than one of Jeongup in basic statistics analysis. The difference in satisfaction between higher quantile and lower quntile of Wanju is smaller than one of Jeongupy as a result of quantile regression analysis. Also, Wanju DRT continues the second test operation of DRT as satisfaction from Ordinary Least Squares(OLS) close to higher satisfaction quantile.

Adaptive L-estimation for regression slope under asymmetric error distributions (비대칭 오차모형하에서의 회귀기울기에 대한 적합된 L-추정법)

  • 한상문
    • The Korean Journal of Applied Statistics
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    • v.6 no.1
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    • pp.79-93
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    • 1993
  • We consider adaptive L-estimation of estimating slope parameter in regression model. The proposed estimator is simple extension of trimmed least squares estimator proposed by ruppert and carroll. The efficiency of the proposed estimator is especially well compared with usual least squares estimator, least absolute value estimator, and M-estimators designed for asymmetric distributions under asymmetric error distributions.

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Inter-Regional Wage Gap and Human Capital in Korea - An Unconditional Quantile Regression Decomposition Approach - (수도권과 비수도권의 임금격차와 인적자본 - 무조건 분위회귀 분해법의 적용 -)

  • Kim, Minyoung;Lim, Up
    • Journal of the Korean Regional Science Association
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    • v.33 no.2
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    • pp.3-23
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    • 2017
  • This study aims to understand how human capital is related to the inter-regional wage gap between the capital region and the non-capital region in Korea. We focus more specifically on whether the inter-regional wage gap is due to high levels of human capital in the capital region or due to high returns to human capital in the capital region. The decomposition method based on the unconditional quantile regression was used to examine how the relationship between human capital and the inter-regional wage gap varies along the wage distribution. When first estimating earnings functions from the two regions to apply this decomposition method, we included not only conventional indicators of human capital, such as education and on-the-job training, but also occupational skills including cognitive-interactive skills, technical skills, and physical skills. As a result, other things being equal, a large part of the inter-regional wage gap was explained by the human capital variables. Although the composition effect of the human capital variables existed in all the wage quantiles, the more important factor was the wage structure effect of the human capital variables. In addition, among the various human capital variables, the wage structure effect of years of education was a key factor in explaining the inter-regional wage gap. This study is meaningful in that it shows that the relationship between human capital and the inter-regional wage gap may vary depending on the wage quantiles.

Effects of S-PBL in Fundamental Nursing Practicum among Nursing Students : Comparision Analysis of a Ordinary Least Square and a Quantile Regression for Critical Thinking Disposition (간호학생의 기본간호학실습 교과목에서 S-PBL의 효과 : 비판적 사고성향을 중심으로 최소자승법과 분위회귀분석의 비교분석)

  • Jun, Won Hee;Lee, Eunju
    • The Journal of the Korea Contents Association
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    • v.13 no.11
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    • pp.1036-1045
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    • 2013
  • The purpose of this study was to examine the effects of Simulation as a Problem-Based Learning (S-PBL) on critical thinking disposition, self-efficacy, and learning attitude and to compare an ordinary least square and a quantile regression method in impacting factors on critical thinking disposition. 143 students from six classes were randomly selected from a total of ten fundamental classes were assigned 66 in the control group and 77 in the experimental group. The results were that the experimental group received S-PBL and improved their critical thinking disposition and self-efficacy compared to the traditional learning method. In ordinary least square, affecting factors on critical thinking were the learning method and self-efficacy and these variables explained 41.0% in the critical thinking disposition. The results of the quantile regression method showed that affecting factors of critical thinking disposition were learning attitude of 0.1 quantile to 0.7 quantile and self-efficacy of all quantiles, and learning attitude of 0.4, 0.6, and 0.7 quantiles. Conclusion: The S-PBL is an effective method for nursing students who have low critical thinking disposition score to increase critical thinking disposition. And instructors can actively use S-PBL to enhance critical thinking disposition as well as self-efficacy in class.

Temporal distritution analysis of design rainfall by significance test of regression coefficients (회귀계수의 유의성 검정방법에 따른 설계강우량 시간분포 분석)

  • Park, Jin Heea;Lee, Jae Joon
    • Journal of Korea Water Resources Association
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    • v.55 no.4
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    • pp.257-266
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    • 2022
  • Inundation damage is increasing every year due to localized heavy rain and an increase of rainfall exceeding the design frequency. Accordingly, the importance of hydraulic structures for flood control and defense is also increasing. The hydraulic structures are designed according to its purpose and performance, and the amount of flood is an important calculation factor. However, in Korea, design rainfall is used as input data for hydrological analysis for the design of hydraulic structures due to the lack of sufficient data and the lack of reliability of observation data. Accurate probability rainfall and its temporal distribution are important factors to estimate the design rainfall. In practice, the regression equation of temporal distribution for the design rainfall is calculated using the cumulative rainfall percentage of Huff's quartile method. In addition, the 6th order polynomial regression equation which shows high overall accuracy, is uniformly used. In this study, the optimized regression equation of temporal distribution is derived using the variable selection method according to the principle of parsimony in statistical modeling. The derived regression equation of temporal distribution is verified through the significance test. As a result of this study, it is most appropriate to derive the regression equation of temporal distribution using the stepwise selection method, which has the advantages of both forward selection and backward elimination.

Variable selection with quantile regression tree (분위수 회귀나무를 이용한 변수선택 방법 연구)

  • Chang, Youngjae
    • The Korean Journal of Applied Statistics
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    • v.29 no.6
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    • pp.1095-1106
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    • 2016
  • The quantile regression method proposed by Koenker et al. (1978) focuses on conditional quantiles given by independent variables, and analyzes the relationship between response variable and independent variables at the given quantile. Considering the linear programming used for the estimation of quantile regression coefficients, the model fitting job might be difficult when large data are introduced for analysis. Therefore, dimension reduction (or variable selection) could be a good solution for the quantile regression of large data sets. Regression tree methods are applied to a variable selection for quantile regression in this paper. Real data of Korea Baseball Organization (KBO) players are analyzed following the variable selection approach based on the regression tree. Analysis result shows that a few important variables are selected, which are also meaningful for the given quantiles of salary data of the baseball players.

The Effects of Entrepreneurship and Corporate Social Responsibility on Firm Performance (기업가 정신 및 기업의 사회적 책임과 기업의 경영성과 관계)

  • Seo, Joohwan
    • The Journal of the Korea Contents Association
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    • v.16 no.4
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    • pp.426-433
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    • 2016
  • This study investigates the effects of entrepreneurship and corporate social responsibility (CSR) on firm performance. I use the conditional quantile regression as well as the ordinary least square (OLS) with 300 samples, only medium and small size companies. I found firstly, entrepreneurship affected overall positively firm performance in the all quantile levels. Secondly, CSR also have a positive impact on firm performance in the overall all quantile levels. By these results, I recommend that entrepreneurship and CSR should a positive impact on the firm performance for the small and medium business companies.

Family Gaps Across the Wages Distribution in Korea (자녀유무별 여성임금격차(Family gap) : 소득분위에 따른 비교연구)

  • Huh, Soo-Yeon
    • Korean Journal of Social Welfare Studies
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    • v.43 no.2
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    • pp.345-366
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    • 2012
  • This study analyze Family gaps(the wage gap between mothers and non-mothers) across the wages distribution in Korea using 2008 Korean Labor and Income Panel Study. Analysis models include Heckman's two stage estimation to control women's labor participation selection and Quantile regression method to examine the effects of children at different points of the wage distribution. The result indicates that first, comparing non-mothers, mothers with one child suffer statistically significant hourly wage losses at 25th, 50th, and 75th distribution, however not significant effects are found at lowest(10th) and highest(90th) distribution. Second, comparing non-mothers, mothers with two more children suffer statistically significant hourly wage losses at all distribution. Family gap differs across the wage distribution and highest family gaps are found at 25th distribution. With these results, the author suggests universal family policies to support mothers' labor participation and the reconciliation of work and family.