• Title/Summary/Keyword: Regression Statistical Analysis

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로짓모형을 이용한 질적 종속변수의 분석 (Application of Logit Model in Qualitative Dependent Variables)

  • 이길순;유완
    • 가정과삶의질연구
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    • 제10권1호통권19호
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    • pp.131-138
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    • 1992
  • Regression analysis has become a standard statistical tool in the behavioral science. Because of its widespread popularity. regression has been often misused. Such is the case when the dependent variable is a qualitative measure rather than a continuous, interval measure. Regression estimates with a qualitative dependent variable does not meet the assumptions underlying regression. It can lead to serious errors in the standard statistical inference. Logit model is recommended as alternatives to the regression model for qualitative dependent variables. Researchers can employ this model to measure the relationship between independent variables and qualitative dependent variables without assuming that logit model was derived from probabilistic choice theory. Coefficients in logit model are typically estimated by the method of Maximum Likelihood Estimation in contrast to ordinary regression model which estimated by the method of Least Squares Estimation. Goodness of fit in logit model is based on the likelihood ratio statistics and the t-statistics is used for testing the null hypothesis.

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Fuzzy Semiparametric Support Vector Regression for Seasonal Time Series Analysis

  • Shim, Joo-Yong;Hwang, Chang-Ha;Hong, Dug-Hun
    • Communications for Statistical Applications and Methods
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    • 제16권2호
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    • pp.335-348
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    • 2009
  • Fuzzy regression is used as a complement or an alternative to represent the relation between variables among the forecasting models especially when the data is insufficient to evaluate the relation. Such phenomenon often occurs in seasonal time series data which require large amount of data to describe the underlying pattern. Semiparametric model is useful tool in the case where domain knowledge exists about the function to be estimated or emphasis is put onto understandability of the model. In this paper we propose fuzzy semiparametric support vector regression so that it can provide good performance on forecasting of the seasonal time series by incorporating into fuzzy support vector regression the basis functions which indicate the seasonal variation of time series. In order to indicate the performance of this method, we present two examples of predicting the seasonal time series. Experimental results show that the proposed method is very attractive for the seasonal time series in fuzzy environments.

중회귀식을 이용한 원주시 $SO_2$ 오염도 예보기법 개발에 관한 연구 (On the Development of the Statistical $SO_2$ Forecasting Technique by the Multiple Regression Analysis in Wonju City)

  • 송동웅
    • 한국환경과학회지
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    • 제7권6호
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    • pp.827-831
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    • 1998
  • Statistical $SO_2$ forecasting technique by multiple regression analysis was designed and developed to predict $SO_2$ concentration in Wonju City. $SO_2$ concentration data measured from air pollution monitoring system and meteorological factors data such as : wind speed, atmospheric stability, surface temperature, relative humidity and precipitation were used in Wonju City during the 1996~1997. As the results, correlation model for forecasting was well fitted with some parameters including minimum temperature, wind speed and the $SO_2$ concentration of the previous day.

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산-염기 적정 시스템의 비선형 회귀분석에 관한 고찰 (Nonlinear Regression Analysis of Acid-Base Titration System)

  • 박정오;홍재진
    • 대한임상검사과학회지
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    • 제40권1호
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    • pp.18-25
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    • 2008
  • In classical titrimetric analyses, the major concern is the concentration of titrant, usually the aqueous solution of hydrochloric acid or sodium hydroxide, that could be changed as time goes by and it is accompanied with the inaccuracy of the resulting data. And the statistical approach, the nonlinear regression analysis, which is a well-known statistical method, was introduced to determine the accurate concentration of the titrant and the exact value of parameters, $K_a$, r, $C_a$, $C_b$, for 0.01 M aqueous solutions of analytes, sodium pyruvate, sodium acetate, sodium bicarbonate, ammonium hydroxide, ammonium chloride and acetic acid at $25^{\circ}C$. We used Gauss-Newton method for the linearlization of the nonlinear titration system and the two-parameter fitting showed appreciable convergent data for the parameters of the analytes set with the various range of $K_a$ value.

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SiC 휘스커 보강 Al6061 복합재료의 통계학적 피로균열진전 수명예측 (Statistical Life Prediction of Fatigue Crack Growth for SiC Whisker Reinforced Aluminium Composite)

  • 권재도;안정주;김상태
    • 대한기계학회논문집
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    • 제19권2호
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    • pp.475-485
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    • 1995
  • In this study, statistical analysis of fatigue data which had obtained from respective 24 fatigue crack, was examined for SiC whisker reinforced aluminium 6061 composite alloy (SiC$_{w}$/A16061) and aluminium 6061 alloy. SiC volume fraction in composite alloy is 25%. The analysis results stress intensity factor range and 0.1 mm fatigue crack initiation life for SiC$_{w}$/A16061 composite & A16061 matrix are the log-normal distribution. And regression analysis by linear model, exponential model and multiplicative model were performed to find out the relationship between fatigue crack growth rate(da/dN) and stress intensity for find out the relationship between fatigue crack growth rate(da/dN) and stress intensity factor range(.DELTA.K) in the SiC$_{w}$/A16061 composite and examine the applicability of Paris' equation to SiC$_{w}$A16061 composite. Also computer simulation was performed for fatigue life prediction of SiC$_{w}$/A16061 composite using the statistical results of this study.udy.

Statistical notes for clinical researchers: simple linear regression 3 - residual analysis

  • Kim, Hae-Young
    • Restorative Dentistry and Endodontics
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    • 제44권1호
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    • pp.11.1-11.8
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    • 2019
  • In the previous sections, simple linear regression (SLR) 1 and 2, we developed a SLR model and evaluated its predictability. To obtain the best fitted line the intercept and slope were calculated by using the least square method. Predictability of the model was assessed by the proportion of the explained variability among the total variation of the response variable. In this session, we will discuss four basic assumptions of regression models for justification of the estimated regression model and residual analysis to check them.

Recent Developments in Discriminant Analysis fro man Information Geometric Point of View

  • Eguchi, Shinto;Copas, John B.
    • Journal of the Korean Statistical Society
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    • 제30권2호
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    • pp.247-263
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    • 2001
  • This paper concerns a problem of classification based on training dta. A framework of information geometry is given to elucidate the characteristics of discriminant functions including logistic discrimination and AdaBoost. We discuss a class of loss functions from a unified viewpoint.

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회귀분석과 ANFIS를 활용한 면직물의 시각적 질감에 대한 해석 비교 - 온난감을 중심으로 (Comparison of the Explanation on Visual Texture of Cotton Textiles using Regression Analysis and ANFIS - on Warmness)

  • 주정아;유효선
    • 감성과학
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    • 제7권3호
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    • pp.15-25
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    • 2004
  • 본 연구의 목적은 적응신경망퍼지추론시스템(ANFIS)과 회귀분석을 활용하여 7가지 역학적 특성치를 갖는 면직물의 시각적 질감을 해석하고 두 가지 방법을 비교하는 것이다. AMFIS는 퍼지 소속 함수와 신경망 구조를 갖는 것으로 인간의 비선형적 감성예측에 유용한 도구이다. 상관관계 및 회귀 분석의 통계분석은 7가지 역학적 특성치가 주관적 질감과 선형의 관계가 있음을 나타내었지만 설명력이 높지 않았고, 선형 이외의 관련성과 변수들 간의 상호작용을 표현하기 어려운 문제가 있었다. 통계분석과 비교하여, ANFIS는 변수들 간의 비선형적인 관련성과 상호작용을 가시적으로 보여주는데 설명력 있는 유용한 도구였으나, 입력 변수 중 출력 변수에 영향력이 있는 변수를 변별하지 못하여, 생성된 규칙의 수가 복잡한 문제가 있었다. 따라서 ANFIS의 해석이 단순하고 의미있는 모델을 구성하기 위해서는 영향력 있는 출력 변수를 추출하고 나머지 변수를 유사하게 통제하는 실험 모델의 구성이 필요하다.

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방화 발생에 영향을 미치는 요인에 관한 연구 (A Study on the Factors Affecting the Arson)

  • 김영철;박우성;이수경
    • 한국화재소방학회논문지
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    • 제28권2호
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    • pp.69-75
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    • 2014
  • 본 연구에서는 방화발생에 영향을 미치는 요인을 도출하기 위하여 발생건수를 종속변수로 하고 경제 인구 사회적 요인을 독립변수로 하는 다중회귀분석을 실시하였다. 다중회귀분석은 선형함수, 준로그함수, 역준로그함수, 이중로그함수 4가지 함수형태에 대해 적용하였으며, 각 단계별로 변수의 선택과 제외를 고려하는 단계적선택 방식을 적용하였다. 다중공선성 문제와 자기상관 문제를 해결하기 위하여 분산확대지수(VIF)와 Durbin-Watson 계수 이용하였으며, 4가지 함수모형에 대하여 수정된 R 제곱(설명력) 값이 0.935 (93.5%)로 가장 값이 높고 통계적으로 유의한 선형함수모형을 최적의 모형으로 결정하고 모형에 대한 해석을 진행하였다. 선형함수모형 결과 방화발생에 영향을 미치는 요인은 범죄발생건수(0.829), 일반이혼율(0.151), 재정자주도(0.149), 소비자물가상승률(0.099) 순으로 도출되었다.

Estimation of Water Quality of Fish Farms using Multivariate Statistical Analysis

  • Ceong, Hee-Taek;Kim, Hae-Ran
    • Journal of information and communication convergence engineering
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    • 제9권4호
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    • pp.475-482
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    • 2011
  • In this research, we have attempted to estimate the water quality of fish farms in terms of parameters such as water temperature, dissolved oxygen, pH, and salinity by employing observational data obtained from a coastal ocean observatory of a national institution located close to the fish farm. We requested and received marine data comprising nine factors including water temperature from Korea Hydrographic and Oceanographic Administration. For verifying our results, we also established an experimental fish farm in which we directly placed the sensor module of an optical mode, YSI-6920V2, used for self-cleaning inside fish tanks and used the data measured and recorded by a environment monitoring system that was communicating serially with the sensor module. We investigated the differences in water temperature and salinity among three areas - Goheung Balpo, Yeosu Odongdo, and the experimental fish farm, Keumho. Water temperature did not exhibit significant differences but there was a difference in salinity (significance <5%). Further, multiple regression analysis was performed to estimate the water quality of the fish farm at Keumho based on the data of Goheung Balpo. The water temperature and dissolved-oxygen estimations had multiple regression linear relationships with coefficients of determination of 98% and 89%, respectively. However, in the case of the pH and salinity estimated using the oceanic environment with nine factors, the adjusted coefficient of determination was very low at less than 10%, and it was therefore difficult to predict the values. We plotted the predicted and measured values by employing the estimated regression equation and found them to fit very well; the values were close to the regression line. We have demonstrated that if statistical model equations that fit well are used, the expense of fish-farm sensor and system installations, maintenances, and repairs, which is a major issue with existing environmental information monitoring systems of marine farming areas, can be reduced, thereby making it easier for fish farmers to monitor aquaculture and mariculture environments.