• 제목/요약/키워드: Multiple regression model

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Statistical micro matching using a multinomial logistic regression model for categorical data

  • Kim, Kangmin;Park, Mingue
    • Communications for Statistical Applications and Methods
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    • 제26권5호
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    • pp.507-517
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    • 2019
  • Statistical matching is a method of combining multiple sources of data that are extracted or surveyed from the same population. It can be used in situation when variables of interest are not jointly observed. It is a low-cost way to expect high-effects in terms of being able to create synthetic data using existing sources. In this paper, we propose the several statistical micro matching methods using a multinomial logistic regression model when all variables of interest are categorical or categorized ones, which is common in sample survey. Under conditional independence assumption (CIA), a mixed statistical matching method, which is useful when auxiliary information is not available, is proposed. We also propose a statistical matching method with auxiliary information that reduces the bias of the conventional matching methods suggested under CIA. Through a simulation study, proposed micro matching methods and conventional ones are compared. Simulation study shows that suggested matching methods outperform the existing ones especially when CIA does not hold.

회귀분석에 의한 TOC 농도 추정 - 오수천 유역을 대상으로 - (Application of Regression Analysis Model to TOC Concentration Estimation - Osu Stream Watershed -)

  • 박진환;문명진;한성욱;이형진;정수정;황경섭;김갑순
    • 환경영향평가
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    • 제23권3호
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    • pp.187-196
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    • 2014
  • The objective of this study is to evaluate and analyze Osu stream watershed water environment system. The data were collected from January 2009 to December 2011 including water temperature, pH, DO, EC, BOD, COD, TOC, SS, T-N, T-P and discharge. The data were used for principle component analysis and factor analysis. The results are as followes. The primary factors obtained from both the principal component analysis and the factor analysis were BOD, COD, TOC, SS and T-P. Once principal component analysis and factor analysis have been performed with the collected data and then the results will be applied to both simple regression model and multiple regression model. The regression model was developed into case 1 using concentrations of water quality parameters and case 2 using delivery loads. The value of the coefficient of determination on case 1 fell between 0.629 and 0.866; this was lower than case 2 value which fell between 0.946 and 0.998. Therefore, case 2 model would be a reliable choice.The coefficient of determination between the estimated figure using data which was developed to the regression model in 2012 and the actual measurement value was over 0.6, overall. It can be safely deduced that the correlation value between the two findings was high. The same model can be applied to get TOC concentrations in future.

실내 온열환경 쾌적 제어를 위한 단순 PMV 회귀모델의 적용에 관한 시뮬레이션 연구 (A Study on the Application of Simulation-based Simplified PMV Regression Model for Indoor Thermal Comfort Control)

  • 김상훈;윤성준;정광섭
    • 에너지공학
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    • 제24권1호
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    • pp.69-77
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    • 2015
  • 본 연구에서는 보정된 모델링 건물을 대상으로 PMV 변수에 대한 데이터베이스를 구축하였고, 다중회귀분석을 통하여 PMV 회귀모델을 도출하였다. PMV 회귀모델은 민감도 및 데이터 분석을 통하여 단순화하여 단순 PMV 회귀모델을 제시하였다. 단순 PMV 회귀모델과 Fanger PMV 모델에 대한 MAE 및 RMSE 검증을 통하여 단순 PMV 회귀모델이 Fanger PMV 모델을 대체할 수 있는 것으로 분석되었다. EnergyPlus의 EMS(Energy Management System)를 이용하여 보정된 모델링 건물에 PMV 회귀모델 제어를 적용하였다. 단순 PMV 회귀모델과 Fanger PMV 모델 제어의 온열 쾌적도를 비교한 결과, 두 제어 모두 공조기간 동안 약 90% 이상이 온열쾌적 범위를 만족하였고, 온열 쾌적 제어의 특징인 설정 PMV를 만족하는 설정온도에 의하여 제어되는 것으로 나타났다.

Predicting standardized ileal digestibility of lysine in full-fat soybeans using chemical composition and physical characteristics

  • Chanwit Kaewtapee;Rainer Mosenthin
    • Animal Bioscience
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    • 제37권6호
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    • pp.1077-1084
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    • 2024
  • Objective: The present work was conducted to evaluate suitable variables and develop prediction equations using chemical composition and physical characteristics for estimating standardized ileal digestibility (SID) of lysine (Lys) in full-fat soybeans (FFSB). Methods: The chemical composition and physical characteristics were determined including trypsin inhibitor activity (TIA), urease activity (UA), protein solubility in 0.2% potassium hydroxide (KOH), protein dispersibility index (PDI), lysine to crude protein ratio (Lys:CP), reactive Lys:CP ratio, neutral detergent fiber, neutral detergent insoluble nitrogen (NDIN), acid detergent insoluble nitrogen (ADIN), acid detergent fiber, L* (lightness), and a* (redness). Pearson's correlation (r) was computed, and the relationship between variables was determined by linear or quadratic regression. Stepwise multiple regression was performed to develop prediction equations for SID of Lys. Results: Negative correlations (p<0.01) between SID of Lys and protein quality indicators were observed for TIA (r = -0.80), PDI (r = -0.80), and UA (r = -0.76). The SID of Lys also showed a quadratic response (p<0.01) to UA, NDIN, TIA, L*, KOH, a* and Lys:CP. The best-fit model for predicting SID of Lys in FFSB included TIA, UA, NDIN, and ADIN, resulting in the highest coefficient of determination (R2 = 0.94). Conclusion: Quadratic regression with one variable indicated the high accuracy for UA, NDIN, TIA, and PDI. The multiple linear regression including TIA, UA, NDIN, and ADIN is an alternative model used to predict SID of Lys in FFSB to improve the accuracy. Therefore, multiple indicators are warranted to assess either insufficient or excessive heat treatment accurately, which can be employed by the feed industry as measures for quality control purposes to predict SID of Lys in FFSB.

Bayesian test for the differences of survival functions in multiple groups

  • Kim, Gwangsu
    • Communications for Statistical Applications and Methods
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    • 제24권2호
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    • pp.115-127
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    • 2017
  • This paper proposes a Bayesian test for the equivalence of survival functions in multiple groups. Proposed Bayesian test use the model of Cox's regression with time-varying coefficients. B-spline expansions are used for the time-varying coefficients, and the proposed test use only the partial likelihood, which provides easier computations. Various simulations of the proposed test and typical tests such as log-rank and Fleming and Harrington tests were conducted. This result shows that the proposed test is consistent as data size increase. Specifically, the power of the proposed test is high despite the existence of crossing hazards. The proposed test is based on a Bayesian approach, which is more flexible when used in multiple tests. The proposed test can therefore perform various tests simultaneously. Real data analysis of Larynx Cancer Data was conducted to assess applicability.

Prediction of non-exercise activity thermogenesis (NEAT) using multiple linear regression in healthy Korean adults: a preliminary study

  • Jung, Won-Sang;Park, Hun-Young;Kim, Sung-Woo;Kim, Jisu;Hwang, Hyejung;Lim, Kiwon
    • 운동영양학회지
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    • 제25권1호
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    • pp.23-29
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    • 2021
  • [Purpose] This preliminary study aimed to develop a regression model to estimate the non-exercise activity thermogenesis (NEAT) of Korean adults using various easy-to-measure dependent variables. [Methods] NEAT was measured in 71 healthy adults (male n = 29; female n = 42). Statistical analysis was performed to develop a NEAT estimation regression model using the stepwise regression method. [Results] We confirmed that ageA, weightB, heart rate (HR)_averageC, weight × HR_averageD, weight × HR_sumE, systolic blood pressure (SBP) × HR_restF, fat mass ÷ height2G, gender × HR_averageH, and gender × weight × HR_sumI were important variables in various NEAT activity regression models. There was no significant difference between the measured NEAT values obtained using a metabolic gas analyzer and the predicted NEAT. [Conclusion] This preliminary study developed a regression model to estimate the NEAT in healthy Korean adults. The regression model was as follows: sitting = 1.431 - 0.013 × (A) + 0.00014 × (D) - 0.00005 × (F) + 0.006 × (H); leg jiggling = 1.102 - 0.011 × (A) + 0.013 × (B) + 0.005 × (H); standing = 1.713 - 0.013 × (A) + 0.0000017 × (I); 4.5 km/h walking = 0.864 + 0.035 × (B) + 0.0000041 × (E); 6.0 km/h walking = 4.029 - 0.024 × (C) + 0.00071 × (D); climbing up 1 stair = 1.308 - 0.016 × (A) + 0.00035 × (D) - 0.000085 × (F) - 0.098 × (G); and climbing up 2 stairs = 1.442 - 0.023 × (A) - 0.000093 × (F) - 0.121 × (G) + 0.0000624 × (E).

$CO_2$ 아크 용접에 있어서 다중회귀분석에 의한 아크 끊어짐을 고려한 아크 안정성 예측 모델 개발 (Development of Estimation Model Are Stability Considering Arc Extinction with Multiple Regression Analysis in $CO_2$ Arc Welding)

  • 강문진;이세헌;우재진
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.1885-1898
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    • 2000
  • Welding quality is closely related to the arc state. So, it is very important to estimate the arc state in real time. In the short circuit transfer region of CO2 are welding, the spatter , as it is well known, is mainly generated on an instance of short circuit or on an instance that the are is ignited after short circuit, or on the cases of an instantaneous short circuit. If the short circuit period or the arc time is irregular, the spatter is generated more than it is regular. Thus there is a close relationship of the amount of the spatter generation with the arc stability. In this paper, to develop the index for estimating the arc stability in short circuit transfer range Of CO2 arc welding, the welding current and are voltage waveforms were measured and the spatter generated was captured and measured. The correlation analysis of the measured amount of the spatter with the factors (the components and the standard deviations of the components) was performed, and the factors that have a considerable influence on the spatter generation among all factors were selected. And some cases of models consisted of the factors were presented, and a mathematical index model which can make an estimation the amount of the spatter from these models with multiple regression analysis. Also, it was compared how much the amount of the spatter generated under the selected welding conditions do these index models fit, and the index model to estimate the arc stability which represent the spatter generation most appropriately was developed

Prediction of unconfined compressive and Brazilian tensile strength of fiber reinforced cement stabilized fly ash mixes using multiple linear regression and artificial neural network

  • Chore, H.S.;Magar, R.B.
    • Advances in Computational Design
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    • 제2권3호
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    • pp.225-240
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    • 2017
  • This paper presents the application of multiple linear regression (MLR) and artificial neural network (ANN) techniques for developing the models to predict the unconfined compressive strength (UCS) and Brazilian tensile strength (BTS) of the fiber reinforced cement stabilized fly ash mixes. UCS and BTS is a highly nonlinear function of its constituents, thereby, making its modeling and prediction a difficult task. To establish relationship between the independent and dependent variables, a computational technique like ANN is employed which provides an efficient and easy approach to model the complex and nonlinear relationship. The data generated in the laboratory through systematic experimental programme for evaluating UCS and BTS of fiber reinforced cement fly ash mixes with respect to 7, 14 and 28 days' curing is used for development of the MLR and ANN model. The data used in the models is arranged in the format of four input parameters that cover the contents of cement and fibers along with maximum dry density (MDD) and optimum moisture contents (OMC), respectively and one dependent variable as unconfined compressive as well as Brazilian tensile strength. ANN models are trained and tested for various combinations of input and output data sets. Performance of networks is checked with the statistical error criteria of correlation coefficient (R), mean square error (MSE) and mean absolute error (MAE). It is observed that the ANN model predicts both, the unconfined compressive and Brazilian tensile, strength quite well in the form of R, RMSE and MAE. This study shows that as an alternative to classical modeling techniques, ANN approach can be used accurately for predicting the unconfined compressive strength and Brazilian tensile strength of fiber reinforced cement stabilized fly ash mixes.

대설피해액 추정을 위한 다중회귀 모형의 적용성 평가 - 강원도 지역을 중심으로 - (Estimation of Snow Damages using Multiple Regression Model - The Case of Gangwon Province -)

  • 권순호;정건희
    • 대한토목학회논문집
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    • 제37권1호
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    • pp.61-72
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    • 2017
  • 자연재난에 따른 인명 및 재산피해의 증가로 재난 예방 및 대응에 대한 관심이 증가하고 있다. 우리나라에서도 1994년에서 2013년까지 지난 20년간 자연재해에 의한 피해액은 약 12조 원 중 대설에 의한 피해가 약 13%로 대설도 강우나 태풍보다는 작은 규모이나, 의미 있는 규모의 피해를 야기하고 있다는 것을 알 수 있다. 그러므로 본 연구에서는 대설피해액 추정을 위해 강원지역을 대상으로 기후관련 요인(최심적설량, 평균습도, 최저기온), 사회 경제적 요인(농촌지역인구밀도, 지역총생산량)을 독립변수로 하는 동시입력방식의 다중회귀모형을 구축하였다. 적용결과, 극한 값들에 대한 설명력이 다소 낮기는 하지만, 수정결정계수가 0.7 이상인 경우도 다수 존재하는 등 대설 발생 시 신속한 재난 대응에 활용하기에는 적용성이 충분하다고 판단된다.

딥러닝을 이용한 다변량, 비선형, 과분산 모델링의 개선: 자동차 연료소모량 예측 (Improvement of Multivariable, Nonlinear, and Overdispersion Modeling with Deep Learning: A Case Study on Prediction of Vehicle Fuel Consumption Rate)

  • 한대석;유인균;이수형
    • 한국도로학회논문집
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    • 제19권4호
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    • pp.1-7
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    • 2017
  • PURPOSES : This study aims to improve complex modeling of multivariable, nonlinear, and overdispersion data with an artificial neural network that has been a problem in the civil and transport sectors. METHODS: Deep learning, which is a technique employing artificial neural networks, was applied for developing a large bus fuel consumption model as a case study. Estimation characteristics and accuracy were compared with the results of conventional multiple regression modeling. RESULTS : The deep learning model remarkably improved estimation accuracy of regression modeling, from R-sq. 18.76% to 72.22%. In addition, it was very flexible in reflecting large variance and complex relationships between dependent and independent variables. CONCLUSIONS : Deep learning could be a new alternative that solves general problems inherent in conventional statistical methods and it is highly promising in planning and optimizing issues in the civil and transport sectors. Extended applications to other fields, such as pavement management, structure safety, operation of intelligent transport systems, and traffic noise estimation are highly recommended.