• 제목/요약/키워드: regression equation model

검색결과 751건 처리시간 0.02초

다중회귀분석에 의한 하천 월 유출량의 추계학적 추정에 관한 연구 (A Study on Stochastic Estimation of Monthly Runoff by Multiple Regression Analysis)

  • 김태철;정하우
    • 한국농공학회지
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    • 제22권3호
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    • pp.75-87
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    • 1980
  • Most hydro]ogic phenomena are the complex and organic products of multiple causations like climatic and hydro-geological factors. A certain significant correlation on the run-off in river basin would be expected and foreseen in advance, and the effect of each these causual and associated factors (independant variables; present-month rainfall, previous-month run-off, evapotranspiration and relative humidity etc.) upon present-month run-off(dependent variable) may be determined by multiple regression analysis. Functions between independant and dependant variables should be treated repeatedly until satisfactory and optimal combination of independant variables can be obtained. Reliability of the estimated function should be tested according to the result of statistical criterion such as analysis of variance, coefficient of determination and significance-test of regression coefficients before first estimated multiple regression model in historical sequence is determined. But some error between observed and estimated run-off is still there. The error arises because the model used is an inadequate description of the system and because the data constituting the record represent only a sample from a population of monthly discharge observation, so that estimates of model parameter will be subject to sampling errors. Since this error which is a deviation from multiple regression plane cannot be explained by first estimated multiple regression equation, it can be considered as a random error governed by law of chance in nature. This unexplained variance by multiple regression equation can be solved by stochastic approach, that is, random error can be stochastically simulated by multiplying random normal variate to standard error of estimate. Finally hybrid model on estimation of monthly run-off in nonhistorical sequence can be determined by combining the determistic component of multiple regression equation and the stochastic component of random errors. Monthly run-off in Naju station in Yong-San river basin is estimated by multiple regression model and hybrid model. And some comparisons between observed and estimated run-off and between multiple regression model and already-existing estimation methods such as Gajiyama formula, tank model and Thomas-Fiering model are done. The results are as follows. (1) The optimal function to estimate monthly run-off in historical sequence is multiple linear regression equation in overall-month unit, that is; Qn=0.788Pn+0.130Qn-1-0.273En-0.1 About 85% of total variance of monthly runoff can be explained by multiple linear regression equation and its coefficient of determination (R2) is 0.843. This means we can estimate monthly runoff in historical sequence highly significantly with short data of observation by above mentioned equation. (2) The optimal function to estimate monthly runoff in nonhistorical sequence is hybrid model combined with multiple linear regression equation in overall-month unit and stochastic component, that is; Qn=0. 788Pn+0. l30Qn-1-0. 273En-0. 10+Sy.t The rest 15% of unexplained variance of monthly runoff can be explained by addition of stochastic process and a bit more reliable results of statistical characteristics of monthly runoff in non-historical sequence are derived. This estimated monthly runoff in non-historical sequence shows up the extraordinary value (maximum, minimum value) which is not appeared in the observed runoff as a random component. (3) "Frequency best fit coefficient" (R2f) of multiple linear regression equation is 0.847 which is the same value as Gaijyama's one. This implies that multiple linear regression equation and Gajiyama formula are theoretically rather reasonable functions.

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COST PERFORMANCE PREDICTION FOR INTERNATIONAL CONSTRUCTION PROJECTS USING MULTIPLE REGRESSION ANALYSIS AND STRUCTURAL EQUATION MODEL: A COMPARATIVE STUDY

  • D.Y. Kim;S.H. Han;H. Kim;H. Park
    • 국제학술발표논문집
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    • The 2th International Conference on Construction Engineering and Project Management
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    • pp.653-661
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    • 2007
  • Overseas construction projects tend to be more complex than domestic projects, being exposed to more external risks, such as politics, economy, society, and culture, as well as more internal risks from the project itself. It is crucial to have an early understanding of the project condition, in order to be well prepared in various phases of the project. This study compares a structural equation model and multiple regression analysis, in their capacity to predict cost performance of international construction projects. The structural equation model shows a more accurate prediction of cost performance than does regression analysis, due to its intrinsic capability of considering various cost factors in a systematic way.

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서울형 포장설계식 개선 및 검증 (Improvement and Validation of an Overlay Design Equation in Seoul)

  • 김원재;박창규;트란 타이 손;르반 푹;이현종
    • 한국도로학회논문집
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    • 제19권5호
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    • pp.49-58
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    • 2017
  • PURPOSES : The objective of this study is to develop a simple regression model in designing the asphalt concrete (AC) overlay thickness using the Mechanistic-empirical pavement design guide (MEPDG) program. METHODS : To establish the AC overlay design equation, multiple regression analyses were performed based on the synthetic database for AC thickness design, which was generated using the MEPDG program. The climate in Seoul city, a modified Hirsh model for determining dynamic modulus of asphalt material, and a new damaged master curve approach were used in this study. Meanwhile, the proposed rutting model developed in Seoul city was then used to calibrate the rutting model in the MEPDG program. The AC overlay design equation is a function of the total AC thickness, the ratio of AC overlay thickness and existing AC thickness, the ratio of existing AC modulus and AC overlay modulus, the subgrade condition, and the annual average daily truck traffic (AADTT). RESULTS : The regression model was verified by comparing the predicted AC thickness, the AADTT from the model and the MEPDG. The regression model shows a correlation coefficient of 0.98 in determining the AC thickness and 0.97 in determining AADTT. In addition, the data in Seoul city was used to validate the regression model. The result shows that correlation coefficient between the predicted and measured AADTT is 0.64. This indicates that the current model is more accuracy than the previous study which showed a correlation coefficient of 0.427. CONCLUSIONS:The high correlation coefficient values indicate that the regression equations can predict the AC thickness accurately.

공동주택의 건물외부조건과 에너지비용과의 관계분석 (Relation between the Building Exterior Conditions and Energy Costs in the Running period of the Apartment Housing)

  • 이강희;류승훈;이은택
    • KIEAE Journal
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    • 제9권1호
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    • pp.107-113
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    • 2009
  • The energy cost is resulted from the energy use. Its sources are divided into some types and depended on the building use or energy-use type. The energy cost should be affected by the amount of the energy use. The cost could be calculated to consider various factors such as the insulation, heating type, building shape and others. But it can not consider all of the affect factors to the energy cost and need to categorize the factors to the condition for estimating the cost. In this paper, it aimed at providing the estimation model in linear equation and multiple linear regression, utilizing the building exterior condition and management characteristics in apartment housing. Its survey are conducted in two parts of management characteristics and building exterior condition. The correlation analysis is conducted to get rid of the multicolinearity among the inputted factors. The number of linear equation model is 11 and includes the 1st, 2nd and 3rd equation function, power function and others. Among these, it suggested the 2nd and 3rd function and power function in terms of the statistics. In multiple linear regression model, the building volume and management area are inputted to the estimation.

곡선부 궤도의 최소좌굴강도 추정식의 개발 (Development of Empirical Equation for Prediction of Minimal Track Buckling Strength)

  • 양신추;김은;이지하;신정렬
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2001년도 추계학술대회 논문집
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    • pp.475-480
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    • 2001
  • In this study, a empirical equation which can be feasibly used to evaluate minimal track buckling strength without exact numerical analysis is presented. Parameter studies we carried out to investigate the effects of the individual factor on buckling strength. In order to simulate track buckling in the field as precisely as possible, a rigorous buckling model which accounts for all the important parameters is adopted. A empirical equation for prediction of minimal track buckling strength is derived by taking nonlinear regression of data which are obtained from numerical analyses. Its characteristics and applicability are investigated by comparing the results by the presented equation with the one by the equation which was presented in japan, and is frequently using in korea when designing track structure.

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대화력전에 대한 이종 무기체계의 조합모델개발 연구 (A Study on a Combination Model Development for Counterfire Operation with Heterogeneous Weapon System)

  • 김한영;김승천;노광현
    • 전자공학회논문지
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    • 제53권2호
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    • pp.62-69
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    • 2016
  • 본 논문에서는 대화력전의 목표달성에 대한 평가척도를 선정하고 평가척도의 최적값을 만족하는 청군의 타격자원의 합리적인 조합과 목표달성시간의 회귀식을 도출하고자 하였다. 또한 현실세계에서 회귀식을 도출하는 일련의 과정을 연구방법론적 관점에서 제시하고자 하였다. 이를 위해 현재 북한과 대한민국이 보유하고 있는 무기체계들의 정보를 이용하여 대화력전을 단순화한 시뮬레이션을 만들어 목표달성시간을 도출하였다. 시뮬레이션에서는 대화력전을 탐지, 결정, 타격의 세 단계로 나누었다. 탐지에는 난수를 활용한 확률을 적용했고 결정과 타격은 고정된 상수를 적용시켰다. 고정된 적에 대해서 목표달성시간을 도출하였으며 목표달성시간이 최단시간으로 나오는 것이 시뮬레이션의 최적값이라고 판단했다. 시뮬레이션의 목표달성시간을 바탕으로 미니탭의 반응표면분석법을 이용하여 고정된 홍군에 대한 청군 무기체계의 최적조합 및 회귀식을 도출하였다. 도출된 회귀식은 2-표본 t검정을 이용하여 검증하였다.

Penman 식과 기상요소를 이용한 증발산모델에 관하여 (On the Evapotranspiration Model derived from the Meteorological Elements and Penman equation)

  • 이광호
    • 물과 미래
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    • 제6권2호
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    • pp.6-11
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    • 1973
  • This paper include the hydrometeorological analyses of evapotranspiration which is import factor concerning the estimate of water budgest over a certain basin. Evapotranspiration model mode by the multiple regression analysis between the evapotranspiration measured on various kinds of ground cover (water, bare soil and lawn) and the other meteorological elements affecting the evapotranspiration process, and the simple regression analysis between the evapo transpiration measured on each ground cover and the evapotranspiration on water and vegetables calculated from the Penman equation. It is expected that the evapotranspiration models are a very useful formulae estimating ten days amounts or a month's amounts.

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동일 데이터의 비교분석에 관한 연구 (회귀분석모형과 구조방정식모형) (The Study on Comparative Analysis of the Same Data through Regression Analysis Model and Structural Equation Model)

  • 최창호;유연우
    • 디지털융복합연구
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    • 제14권6호
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    • pp.167-175
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    • 2016
  • 본 연구는 인과관계 분석에서 주로 활용되는 SPSS statistic(회귀분석)과 구조방정식모델을 구현하는 프로그램 중 하나인 AMOS 프로그램을 각각 활용하여 동일한 데이터에 대하여 실증분석을 실시하였다. 실증분석 결과, 회귀계수 및 유의확률에서 서로 다른 결과값이 나왔으며, 특히 매개효과 검정에서 귀무가설 기각역 근처의 유의확률값(즉, t값 및 C.R.값의 절대값이 1.96 근처)을 보이는 상황에서 SPSS statistic(회귀분석)에서는 매개효과가 있는 반면, AMOS 프로그램(구조방정식)에서는 매개효과가 없는 것으로 나타났다. 결국, 동일한 데이터임에도 불구하고 어떤 통계프로그램을 활용하느냐에 따라 다른 결과값(특히, 측정오차가 클수록 결과값이 크게 달라짐)이 나올 수 있음을 알 수 있다.

과수재배지 비점오염부하량 추정회귀식 비교 검증 (Verification of Nonpoint Sources Runoff Estimation Model Equations for the Orchard Area)

  • 권헌각;이재운;이윤정;천세억
    • 한국물환경학회지
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    • 제30권1호
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    • pp.8-15
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    • 2014
  • In this study, regression equation was analyzed to estimate non-point source (NPS) pollutant loads in orchard area. Many factors affecting the runoff of NPS pollutant as precipitation, storm duration time, antecedent dry weather period, total runoff density, average storm intensity and average runoff intensity were used as independent variables, NPS pollutant was used as a dependent variable to estimate multiple regression equation. Based on the real measurement data from 2008 to 2012, we performed correlation analysis among the environmental variables related to the rainfall NPS pollutant runoff. Significance test was confirmed that T-P ($R^2=0.89$) and BOD ($R^2=0.79$) showed the highest similarity with the estimated regression equations according to the NPS pollutant followed by SS and T-N with good similarity ($R^2$ >0.5). In the case of regression equation to estimate the NPS pollutant loads, regression equations of multiplied independent variables by exponential function and the logarithmic function model represented optimum with the experimented value.

로지스틱 회귀식을 이용한 대형산불판정 모형 개발 (Development of Large Fire Judgement Model Using Logistic Regression Equation)

  • 이병두;김경하
    • 한국산림과학회지
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    • 제102권3호
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    • pp.415-419
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    • 2013
  • 산불로 인한 피해를 최소화하기 위해서는 대형산불 가능성이 있는 산불에 대해 초기 단계에서부터 진화자원을 집중해야 한다. 따라서 본 연구에서는 산불 발생 초기에 대형화 여부를 판정할 수 있는 모형을 개발하고자 하였다. 이를 위해 132건의 산불에 대해 피해 규모를 현장조사하고, 발화지를 중심으로 100 ha 이내의 기상, 지형, 연료인자를 분석하였다. 그리고 분석 내용을 로지스틱 회귀식을 적용한 결과, 산불은 온도, 풍속, 무강우일수, 경사변이, 산림면적이 높을수록 대형화되었으며, 고도는 낮을수록 그 확률이 높았다. 본 모형을 사용하면 산불 발생 초기에 대형화 여부를 판단할 수 있으므로, 초기 진화자원의 규모와 지역 주민 대피 결정에 근거 자료로 활용될 수 있다.