• 제목/요약/키워드: Median regression

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성인자녀의 자아분화 수준과 원가족에 대한 가족건강도 지각이 노모와의 유대에 미치는 영향 (A Study on The Effects of Adult Children's Differentiation of Self and The Healthy Family-of-Origin on The Solidarity with Aged Mother)

  • 이신숙;차용은
    • 대한가정학회지
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    • 제38권4호
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    • pp.21-32
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    • 2000
  • The purpose of this study was to investigate the relational between the self of differentiation of adult children's, the healthy family-of-origin, and the solidarity with aged mother. Questionnare survey method was used in this research. The sample was taken from 356 adult children in Chonnam and Sunchon city. The collected data were analyzed by using frequency, percentage, mean, standard deviation, t-test, correlation and stepwise regression analysis. The findings of this study are as follows ; 1) The total points of the self of differentiation of adults children's was 108.7, which was higher than the median 90. And the total points of the healthy family-origin was 107(median:84). And the total points of the attachment with aged mother was 30, which was higher than the median 24. And the total points of the conflict with aged mother was 22.8, which was lower than the median 27. 2) The variables significantly affecting the attachment with aged mother were the healthy family-of-origin, the self of differentiation, educational level and $R^2$of such variable are 30%. The variable significantly affecting the conflict with aged mother were the healthy family-of-origin, the self of differentiation and $R^2$ of such variables are 29%.

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회귀계수의 최소절대편차추정량의 표준편차 추정법 (A Study on the Estimation of Standard Deviation of Least Absolute Deviation Estimators of Regression Coefficients)

  • 이기훈;정성석
    • 응용통계연구
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    • 제14권2호
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    • pp.463-473
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    • 2001
  • 선형모형의 회귀계수의 L$_1$-추정량의 점근분포는 오차항의 중앙값에 종속되어있는데, 이 값은 잔차의 순서통계량의 함수로 추정될 수 있다. 본 논문에서는 오차항 중앙값의 추정량을 유도하는 몇 가지 방법을 소개하고 몬테칼로 실험을 통하여 가장 바람직한 추정량의 형태를 제안하였다. 또한 제안한 추정량을 이용하면 검정문제에서도 좋은 결과를 얻을 수 있음을 보였다.

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Robust inference for linear regression model based on weighted least squares

  • 박진표
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.271-284
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    • 2002
  • In this paper we consider the robust inference for the parameter of linear regression model based on weighted least squares. First we consider the sequential test of multiple outliers. Next we suggest the way to assign a weight to each observation $(x_i,\;y_i)$ and recommend the robust inference for linear model. Finally, to check the performance of confidence interval for the slope using proposed method, we conducted a Monte Carlo simulation and presented some numerical results and examples.

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Regression Analysis of Longitudinal Data Based on M-estimates

  • Jung, Sin-Ho;Terry M. Therneau
    • Journal of the Korean Statistical Society
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    • 제29권2호
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    • pp.201-217
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    • 2000
  • The method of generalized estimating equations (GEE) has become very popular for the analysis of longitudinal data. We extend this work to the use of M-estimators; the resultant regression estimates are robust to heavy tailed errors and to outliers. The proposed method does not require correct specification of the dependence structure between observation, and allows for heterogeneity of the error. However, an estimate of the dependence structure may be incorporated, and if it is correct this guarantees a higher efficiency for the regression estimators. A goodness-of-fit test for checking the adequacy of the assumed M-estimation regression model is also provided. Simulation studies are conducted to show the finite-sample performance of the new methods. The proposed methods are applied to a real-life data set.

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Association Between Pelvic Bone Computed Tomography-Derived Body Composition and Patient Outcomes in Older Adults With Proximal Femur Fracture

  • Tae Ran Ahn;Young Cheol Yoon;Hyun Su Kim;Kyunga Kim;Ji Hyun Lee
    • Korean Journal of Radiology
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    • 제24권5호
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    • pp.434-443
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    • 2023
  • Objective: To investigate the association between pelvic bone computed tomography (CT)-derived body composition and patient outcomes in older adult patients who underwent surgery for proximal femur fractures. Materials and Methods: We retrospectively identified consecutive patients aged ≥ 65 years who underwent pelvic bone CT and subsequent surgery for proximal femur fractures between July 2018 and September 2021. Eight CT metrics were calculated from the cross-sectional area and attenuation of the subcutaneous fat and muscle, including the thigh subcutaneous fat (TSF) index, TSF attenuation, thigh muscle (TM) index, TM attenuation, gluteus maximus (GM) index, GM attenuation, gluteus medius and minimus (Gmm) index, and Gmm attenuation. The patients were dichotomized using the median value of each metric. Multivariable Cox regression and logistic regression models were used to determine the association between CT metrics with overall survival (OS) and postsurgical intensive care unit (ICU) admission, respectively. Results: A total of 372 patients (median age, 80.5 years; interquartile range, 76.0-85.0 years; 285 females) were included. TSF attenuation above the median (adjusted hazard ratio [HR], 2.39; 95% confidence interval [CI], 1.41-4.05), GM index below the median (adjusted HR, 2.63; 95% CI, 1.33-5.26), and Gmm index below the median (adjusted HR, 2.33; 95% CI, 1.12-4.55) were independently associated with shorter OS. TSF index (adjusted odds ratio [OR], 6.67; 95% CI, 3.13-14.29), GM index (adjusted OR, 3.45; 95% CI, 1.49-7.69), GM attenuation (adjusted OR, 2.33; 95% CI, 1.02-5.56), Gmm index (adjusted OR, 2.70; 95% CI, 1.22-5.88), and Gmm attenuation (adjusted OR, 2.22; 95% CI, 1.01-5.00) below the median were independently associated with ICU admission. Conclusion: In older adult patients who underwent surgery for proximal femur fracture, low muscle indices of the GM and gluteus medius/minimus obtained from their cross-sectional areas on preoperative pelvic bone CT were significant prognostic markers for predicting high mortality and postsurgical ICU admission.

분위회귀를 이용한 한반도 연안 해면 고도의 장주기 선형 추세 분석 (Analysis of Long-term Linear Trends of the Sea Surface Height Along the Korean Coast based on Quantile Regression)

  • 임병준;장유순
    • 한국해양학회지:바다
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    • 제23권2호
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    • pp.63-75
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    • 2018
  • 본 연구에서는 분위회귀를 이용하여 1993~2016년 동안의 한반도 조위 자료의 장주기 선형 추세를 분석하였다. 일반 선형회귀(OLS: Ordinary Least Square)와 50% 중간 분위 회귀 결과를 비교했을 때 특히 황해에서 약 2~3 mm/year의 회귀 결과의 차이를 발견하였으며, 이는 극한 값 변화에 기인함을 확인할 수 있었다. 또한 해역별로 하위(1%) 분위와 중간(50%) 분위, 상위(99%) 분위의 값이 모두 다르게 나타났다. 황해의 대부분 지역에서는 상위 분위와 하위 분위가 모두 증가하는 경향을 나타냈으나, 유의미한 "상향 발산형" 회귀 결과를 보였다. 이는 상위 분위가 중간 분위에 비해 유의미하게 크게 나타나는 경향을 의미한다. 대한민국 남해안에서는 상위 분위가 하위 분위보다 더 작은 증가 값을 가지는 "상향 수렴형" 회귀 결과가 특징적으로 나타났다. 이러한 경향은 조화 분석을 통해 알려진 조석 분조들을 제거한 결과에서는 없어지는 것을 확인하였다. 그러므로 분위 회귀의 지역적 특성은 조석 세기의 장주기 변동과 연관이 있다고 추측된다.

Bayesian Typhoon Track Prediction Using Wind Vector Data

  • Han, Minkyu;Lee, Jaeyong
    • Communications for Statistical Applications and Methods
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    • 제22권3호
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    • pp.241-253
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    • 2015
  • In this paper we predict the track of typhoons using a Bayesian principal component regression model based on wind field data. Data is obtained at each time point and we applied the Bayesian principal component regression model to conduct the track prediction based on the time point. Based on regression model, we applied to variable selection prior and two kinds of prior distribution; normal and Laplace distribution. We show prediction results based on Bayesian Model Averaging (BMA) estimator and Median Probability Model (MPM) estimator. We analysis 8 typhoons in 2006 using data obtained from previous 6 years (2000-2005). We compare our prediction results with a moving-nest typhoon model (MTM) proposed by the Korea Meteorological Administration. We posit that is possible to predict the track of a typhoon accurately using only a statistical model and without a dynamical model.

Identification of Regression Outliers Based on Clustering of LMS-residual Plots

  • Kim, Bu-Yong;Oh, Mi-Hyun
    • Communications for Statistical Applications and Methods
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    • 제11권3호
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    • pp.485-494
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    • 2004
  • An algorithm is proposed to identify multiple outliers in linear regression. It is based on the clustering of residuals from the least median of squares estimation. A cut-height criterion for the hierarchical cluster tree is suggested, which yields the optimal clustering of the regression outliers. Comparisons of the effectiveness of the procedures are performed on the basis of the classic data and artificial data sets, and it is shown that the proposed algorithm is superior to the one that is based on the least squares estimation. In particular, the algorithm deals very well with the masking and swamping effects while the other does not.

Quantile Regression을 활용한 우리나라 극치강수량 경향성 분석 (Trend analysis of extream precipitation in Korea using Quantile Regression)

  • 소병진;권현한;박래건
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2012년도 학술발표회
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    • pp.369-370
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    • 2012
  • 일반적으로 회귀분석의 최적화는 평균적인 개념을 확장하여 사용되어지고 있다. 평균은 관찰값들에 관한 모든 정보와 관련된 통계량으로써 많은 연구에 이용되어지고 있다. 정규분포를 이루는 모집단의 경우 평균을 사용한 추정이 바람직하지만, 이상치로 인한 분포의 꼬리가 두꺼워지는 경우 중위수(median)를 사용하는 것이 바람직하다고 알려져 있다. 강수량의 분포형태는 꼬리(tail)가 두꺼운 왜곡된 형태를 갖고 있으므로 robust 통계량인 Quantile을 이용한 강수량의 분석 및 평가를 실시하였다. 본 연구에서는 Quantile에 따른 회귀선의 변화를 이용하여 강수량의 경향성을 평가하고, 극치강수량의 변화를 보여줄 수 있는 Quantle값을 추출해 보고자 한다. 또한 bootstrap 방법을 이용하여 Quantile에 따른 회귀계수의 신뢰구간을 분석하여 회귀인자의 신뢰성을 평가하였다. 본 연구에서 적용한 Quantile Regression 기법은 회귀계수의 추정에 있어서 회귀인자의 신뢰성을 Quantile-회귀계수 그래프를 통해 분석할 수 있으며, 이상값의 영향을 저감시키는 평균과 달리 이상값의 영향을 효과적으로 분리 및 재현시킬 수 있어 극치값에 따른 변화를 효과적으로 평가할 수 있으며, robust 통계량의 특징인 분산이 적은 안정적인 추정량을 확보할 수 있다.

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유아의 일상적 스트레스 및 부적응 행동 : 유아의 개인적 변인과 어머니의 심리사회적 변인을 중심으로 (The Effects of Personal and Parental Variables on Young Children's Daily Stress Levels and Maladjustment Behaviors)

  • 이숙;김수미
    • 대한가정학회지
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    • 제47권1호
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    • pp.1-12
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    • 2009
  • The purpose of this study was to establish the relative influences of individual variables (sex, age, temperament) and mother's psychosocial variables (maternal attitude, parenting stress, marriage satisfaction) on daily stress levels and maladjustment of young children attending at daycare centers. Subjects were 224 pairs of children and their mothers, and 18 teachers from 5 child-care centers in Gwangju City. Children were tested individually using 22-item daily stress inventory with illustrations which described certain stressful situations. Questionnaires were also administered to mothers and teachers. Collected data were subjected to Cronbach's $\alpha$, correlation and multiple regression analysis using SPSS (WIN 14.0) program. The major findings were as follows; Overall average score of children's daily stress was equivalent with the median. 'Blame and attack situation' and 'anxiety and frustrated situation' were perceived as more stressful for children than 'lose self-respect situation'. Overall average score of children's maladjustment was lower than the median. 'Overactivity' was highest among subscores of maladjustment. Age was the only significant influential factor on children's daily stress level. Sex was the most influential factor on 'overactivity', 'aggression', and 'regression' of young children. Activity and maternal stress were the second most influential factor on 'overactivity' and 'aggression', respectively.