• Title/Summary/Keyword: Residuals

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Bootstrap tack of Fit Test based on the Linear Smoothers

  • Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.357-363
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    • 1998
  • In this paper we propose a nonparametric lack of fit test based on the bootstrap method for testing the null parametric linear model by using linear smoothers. Most of existing nonparametric test statistics are based on the residuals. Our test is based on the centered bootstrap residuals. Power performance of proposed bootstrap lack of fit test is investigated via Monte carlo simulation.

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Residuals Plots for Repeated Measures Data

  • PARK TAESUNG
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.187-191
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    • 2000
  • In the analysis of repeated measurements, multivariate regression models that account for the correlations among the observations from the same subject are widely used. Like the usual univariate regression models, these multivariate regression models also need some model diagnostic procedures. In this paper, we propose a simple graphical method to detect outliers and to investigate the goodness of model fit in repeated measures data. The graphical method is based on the quantile-quantile(Q-Q) plots of the $X^2$ distribution and the standard normal distribution. We also propose diagnostic measures to detect influential observations. The proposed method is illustrated using two examples.

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A DYNAMIC GRAPHICAL METHOD FOR REGRESSION DIAGNOSTICS

  • Park, Sung H.;Kim, You H.
    • Journal of Korean Society for Quality Management
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    • v.19 no.2
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    • pp.1-16
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    • 1991
  • Recently, Cook and Weisberg(l989) presented dynamic graphics for regression diagnostics. They suggested animating graphics which could aid to understanding the effects of adding a variable to a model. In this paper, using the Cook and Weisberg's idea of animation, we propose a dynamic graphical method for residuals to display the effects of removing an observation from a model. Based on the information obtained from these animating graphics, it is possible to see the influence of outliers on influencial observations for regression diagnostics.

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Robustness of Minimum Disparity Estimators in Linear Regression Models

  • Pak, Ro-Jin
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.349-360
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    • 1995
  • This paper deals with the robustness properties of the minimum disparity estimation in linear regression models. The estimators defined as statistical quantities whcih minimize the blended weight Hellinger distance between a weighted kernel density estimator of the residuals and a smoothed model density of the residuals. It is shown that if the weights of the density estimator are appropriately chosen, the estimates of the regression parameters are robust.

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A Simultaneous Test for Multivariate Normality and Independence with Application to Univariate Residuals

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.115-122
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    • 2006
  • A test is suggested for detecting deviations from both multivariate normality and independence. This test can be used for assessing the normality and independence of univariate time series residuals. We derive the limiting distribution of the test statistic and a simulation study is conducted to study the accuracy of the limiting distribution in finite samples. Finally, we apply our method to a real data of time series.

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Anumerical model study on tide-induced residual currents around Chejudo Island (제주도 주변의 조석 잔차류에 대한 수치 모델 연구)

  • 박용향;김성일
    • 한국해양학회지
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    • v.22 no.1
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    • pp.9-18
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    • 1987
  • A number of hydrographic studies and some recent current measurements around Chejudo Island suggest an existence of a clockwise residual flow in the west and north coasts of the island all the year round. On the eastern side of the island the Tsushinma Current flows northward and northeastward. The contribution of tide-induced residual currents to the observed residual. flow around the island was examined here through numerical solution of the two-dimensional nonlinear shallow-water equations. The calculated tide-induced residual currents show a clockwise circulation around the island. Significant residuals of 2-4cms$\^$-1/are confined over sloping bottom topography around t he island and the far-field residuals are negligibly small. The inclusion of a permanent current into the model was also attempted in order to see the effects of the Tsushima Current system on the residual circulation around the is land. It was found that combined effects of tide-induced residuals and the permanent current field associatedwith the Tsushima Current explain qualitatively not only the observed clock wise residuals in the west and north coasts but also the northward flow on the eastern side of the island.

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Preliminary Products of Precise Orbit Determination Using Satellite Laser Ranging Observations for ILRS AAC

  • Kim, Young-Rok;Park, Sang-Young;Park, Eun-Seo;Lim, Hyung-Chul
    • Journal of Astronomy and Space Sciences
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    • v.29 no.3
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    • pp.275-285
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    • 2012
  • In this study, we present preliminary results of precise orbit determination (POD) using satellite laser ranging (SLR) observations for International Laser Ranging Service (ILRS) Associate Analysis Center (AAC). Using SLR normal point observations of LAGEOS-1, LAGEOS-2, ETALON-1, and ETALON-2, the NASA/GSFC GEODYN II software are utilized for POD. Weekly-based orbit determination strategy is applied to process SLR observations and the post-fit residuals check, and external orbit comparison are performed for orbit accuracy assessment. The root mean square (RMS) value of differences between observations and computations after final iteration of estimation process is used for post-fit residuals check. The result of ILRS consolidated prediction format (CPF) is used for external orbit comparison. Additionally, we performed the precision analysis of each ILRS station by post-fit residuals. The post-fit residuals results show that the precisions of the orbits of LAGEOS-1 and LAGEOS-2 are 0.9 and 1.3 cm, and those of ETALON-1 and ETALON-2 are 2.5 and 1.9 cm, respectively. The orbit assessment results by ILRS CPF show that the radial accuracies of LAGEOS-1 and LAGEOS-2 are 4.0 cm and 5.3 cm, and the radial accuracies of ETALON-1 and ETALON-2 are 30.7 cm and 7.2 cm. These results of station precision analysis confirm that the result of this study is reasonable to have implications as preliminary results for administrating ILRS AAC.

Path Loss Model with Multiple-Antenna and Doppler Shift for High Speed Railroad Communication (다중 안테나와 Doppler Shift를 고려한 고속 철도의 경로 손실 모델)

  • Park, Hae-Gyu;Yoon, Kee-Hoo;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.8
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    • pp.437-444
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    • 2014
  • In this paper, we propose a path loss model with the multiple antennas and doppler shift for high speed railroad communication. Path loss model is very important in order to design consider diverse characteristic in high-speed train communication. Currently wireless communication systems use the multiple antennas in order to improve the channel capacity or diversity gain. However, until recently, many researches on path loss model only consider geographical environment between the transmitter and the receiver. There is no study about path loss model considering diversity effect and doppler shift. In order to make average residuals considering doppler shift we use tuned free space path loss model which is utilized for measurement results at high speed railroad. The environment of high speed rail is mostly at viaduct and flatland over than 50 percent. And in order to make average residuals considering multiple antenna we use theoretical estimation of diversity gain with MRC scheme. proposed model predict loss of received signal by estimating average residuals between diversity effect and doppler shift.

Discontinuous log-variance function estimation with log-residuals adjusted by an estimator of jump size (점프크기추정량에 의한 수정된 로그잔차를 이용한 불연속 로그분산함수의 추정)

  • Hong, Hyeseon;Huh, Jib
    • The Korean Journal of Applied Statistics
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    • v.30 no.2
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    • pp.259-269
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    • 2017
  • Due to the nonnegativity of variance, most of nonparametric estimations of discontinuous variance function have used the Nadaraya-Watson estimation with residuals. By the modification of Chen et al. (2009) and Yu and Jones (2004), Huh (2014, 2016a) proposed the estimators of the log-variance function instead of the variance function using the local linear estimator which has no boundary effect. Huh (2016b) estimated the variance function using the adjusted squared residuals by the estimated jump size in the discontinuous variance function. In this paper, we propose an estimator of the discontinuous log-variance function using the local linear estimator with the adjusted log-squared residuals by the estimated jump size of log-variance function like Huh (2016b). The numerical work demonstrates the performance of the proposed method with simulated and real examples.

The Usefulness of the Evaluation of Gastric Residuals in Premature Infants (미숙아의 장관영양 시 위 잔류 확인의 유용성 평가)

  • Lee, Kyung Min;Choi, Su Jung
    • Journal of Korean Critical Care Nursing
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    • v.12 no.3
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    • pp.74-83
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    • 2019
  • Purpose : The routine evaluation of gastric residuals (RGR) is considered standard care for premature infants. This study evaluated the usefulness of RGR in premature infants. Methods : The study retrospectively investigated 208 premature infants (gestational aged under 34 weeks) who underwent gavage feeding in a neonatal intensive care unit at a tertiary hospital. The patients were divided into two groups: RGR (n=104) and no-RGR (n=104). Those in the no-RGR group had their gastric residuals checked only if signs of feeding intolerance were present. Clinical outcomes, including the time to reach full enteral feeding (FEF) and the incidences of gastrointestinal disorders such as feeding intolerance (FI) and necrotizing enterocolitis (NEC), were compared. Data were analyzed with SPSS ver. 21, using a Mann-Whitney U test, chi-squared test, and Fisher's exact test. Results : There was no statistically significant difference for the time to FEF (z=-0.61, p=.541), incidence of FI ($X^2=0.38$, p=.540), and NEC ($X^2=1.42$, p=.234) between the two groups. Conclusion : No-RGR did not increase the risk for FI or NEC. These results suggest that RGR evaluation may not improve nutritional outcomes in premature infants. Recommendations for further research and practice guidelines will be provided.