• Title/Summary/Keyword: Regression quantile

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Bayesian quantile regression analysis of private education expenses for high scool students in Korea (일반계 고등학생 사교육비 지출에 대한 베이지안 분위회귀모형 분석)

  • Oh, Hyun Sook
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.6
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    • pp.1457-1469
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    • 2017
  • Private education expenses is one of the key issues in Korea and there have been many discussions about it. Academically, most of previous researches for private education expenses have used multiple regression linear model based on ordinary least squares (OLS) method. However, if the data do not satisfy the basic assumptions of the OLS method such as the normality and homoscedasticity, there is a problem with the reliability of estimations of parameters. In this case, quantile regression model is preferred to OLS model since it does not depend on the assumptions of nonnormality and heteroscedasticity for the data. In the present study, the data from a survey on private education expenses, conducted by Statistics Korea in 2015 has been analyzed for investigation of the impacting factors for private education expenses. Since the data do not satisfy the OLS assumptions, quantile regression model has been employed in Bayesian approach by using gibbs sampling method. The analysis results show that the gender of the student, parent's age, and the time and cost of participating after school are not significant. Household income is positively significant in proportion to the same size for all levels (quantiles) of private education expenses. Spending on private education in Seoul is higher than other regions and the regional difference grows as private education expenditure increases. Total time for private education and student's achievement have positive effect on the lower quantiles than the higher quantiles. Education level of father is positively significant for midium-high quantiles only, but education level of mother is for all but low quantiles. Participating after school is positively significant for the lower quantiles but EBS textbook cost is positively significant for the higher quantiles.

A Study on Gender Differences in Influencing Factors of Office Workers' Physical Activity (남성과 여성 사무직 근로자의 신체활동에 미치는 영향요인 비교)

  • Chae, Duck Hee;Kim, Su Hee;Lee, Chung Yul
    • Research in Community and Public Health Nursing
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    • v.24 no.3
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    • pp.273-281
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    • 2013
  • Purpose: The purpose of this study was to determine gender differences in effects of self-efficacy, exercise benefits and barriers, and demographic factors on the physical activity. Methods: Seventy sedentary office workers, 35 male and 35 female, from a major airline company, completed a questionnaire from March 28 to April 5, 2012. Steps and body mass indices were measured using a CW-700/701 (Yamax) pedometer and Inbody 720 (Biospace), respectively. Data were analyzed using t-test, $x^2$-test, multiple linear regression, and simultaneous quantile regression. Results: For male workers, exercise self-efficacy had a significant effect on physical activity, but only when respondents were at 10%(3,431 steps/day, p=.018) and 25%(4,652 steps/day, p=.044) of the physical activity distribution. For female workers, marital status was significantly related to physical activity, but only when respondents were at 10% (3,537 steps/day, p=.013) and 25%(3,862 steps/day, p=.014) of the physical activity distribution. Conclusion: Quantile regression highlights the heterogeneous effect of physical activity determinants among office workers. Therefore intervention strategies for increasing physical activity should be tailed to genders as well as physical activity levels.

Country-Level Institutional Quality and Public Debt: Empirical Evidence from Pakistan

  • MEHMOOD, Waqas;MOHD-RASHID, Rasidah;AMAN-ULLAH, Attia;ZI ONG, Chui
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.4
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    • pp.21-32
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    • 2021
  • This paper aims to investigate the relationship between country-level institutional quality and public debt in the context of Pakistan. The hypotheses of this study were assessed by using the country-level institutional quality data for Pakistan throughout the years from 1996 to 2018. Data came from the World Databank, IMF and Worldwide Governance Indicators databases. For the analysis, ordinary least square, quantile regression and robust regression were employed to assess the factors influencing the public debt. The results of this study indicate that the factors of voice and accountability, regulatory quality, and control of corruption have a positive and significant relationship with public debt, while political stability, government effectiveness, and the rule of law have a negative and significant effect on public debt. Based on the findings, a weak country-level institutional quality poses a substantial market risk as it signals the existence of an unfavorable economic condition that raises public debt. It was also revealed that an improved performance of country-level institutional quality can lead to the improvement of financial market transparency, hence reduce public debt. In contrast to previous studies, the present study will be breaking ground in enhancing public insight regarding the impact of country-level institutional quality on Pakistan's public debt.

Combination of Value-at-Risk Models with Support Vector Machine (서포트벡터기계를 이용한 VaR 모형의 결합)

  • Kim, Yong-Tae;Shim, Joo-Yong;Lee, Jang-Taek;Hwang, Chang-Ha
    • Communications for Statistical Applications and Methods
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    • v.16 no.5
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    • pp.791-801
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    • 2009
  • Value-at-Risk(VaR) has been used as an important tool to measure the market risk. However, the selection of the VaR models is controversial. This paper proposes VaR forecast combinations using support vector machine quantile regression instead of selecting a single model out of historical simulation and GARCH.

Forecasting value-at-risk by encompassing CAViaR models via information criteria

  • Lee, Sangyeol;Noh, Jungsik
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1531-1541
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    • 2013
  • This paper proposes a new method of VaR forecasting using the conditional autoregressive VaR (CAViaR) models and information criteria. Instead of using a single CAViaR model, we propose to utilize several candidate CAViaR models during a forecasting period. By adopting the Akaike and Bayesian information criteria for quantile regression, we can update not only parameter estimates but also the CAViaR specifications. We also propose extended CAViaR models with a constant location parameter. An empirical study is provided to examine the performance of the proposed method. The results suggest that our method shows more stable performance than those using a single specification.

Using R Software for Reliability Data Analysis

  • Shaffer, Leslie B.;Young, Timothy M.;Guess, Frank M.;Bensmail, Halima;Leon, Ramon V.
    • International Journal of Reliability and Applications
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    • v.9 no.1
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    • pp.53-70
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    • 2008
  • In this paper, we discuss the plethora of uses for the software package R, and focus specifically on its helpful applications in reliability data analyses. Examples are presented; including the R coding protocol, R code, and plots for various statistical as well as reliability analyses. We explore Kaplan-Meier estimates and maximum likelihood estimation for distributions including the Weibull. Finally, we discuss future applications of R, and usages of quantile regression in reliability.

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SVQR with asymmetric quadratic loss function

  • Shim, Jooyong;Kim, Malsuk;Seok, Kyungha
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.6
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    • pp.1537-1545
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    • 2015
  • Support vector quantile regression (SVQR) can be obtained by applying support vector machine with a check function instead of an e-insensitive loss function into the quantile regression, which still requires to solve a quadratic program (QP) problem which is time and memory expensive. In this paper we propose an SVQR whose objective function is composed of an asymmetric quadratic loss function. The proposed method overcomes the weak point of the SVQR with the check function. We use the iterative procedure to solve the objective problem. Furthermore, we introduce the generalized cross validation function to select the hyper-parameters which affect the performance of SVQR. Experimental results are then presented, which illustrate the performance of proposed SVQR.

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.

Asymptotically Efficient L-Estimation for Regression Slope When Trimming is Given (절사가 주어질때 회귀기울기의 점근적 최량 L-추정법)

  • Sang Moon Han
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.173-182
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    • 1994
  • By applying slope estimator under the arbitrary error distributions proposed by Han(1993), if we define regression quantiles to give upper and lower trimming part and blocks of data, we show the proposed slope estimator has asymptotically efficient slope estimator when the number of regression quantiles to from blocks of data goes to sufficiently large.

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The Comparison Analysis of an Estimators of Nonlinear Regression Model using Monte Carlo Simulation (몬테칼로 시뮬레이션을 이용한 비선형회귀추정량들의 비교 분석)

  • 김태수;이영해
    • Journal of the Korea Society for Simulation
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    • v.9 no.3
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    • pp.43-51
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    • 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.

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