• Title/Summary/Keyword: Regression line

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Simplicial Regression Depth with Censored and Truncated Data

  • Park, Jinho
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.167-175
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    • 2003
  • In this paper we develop a robust procedure to estimate regression coefficients for a linear model with censored and truncated data based on simplicial regression depth. Simplicial depth of a point is defined as the proportion of data simplices containing it. This simplicial depth can be extended to regression problem with censored and truncated data. Any line can be given a depth and the deepest regression line is the line with the maximum simplicial regression depth. We show how the proposed regression performs through analyzing AIDS incubation data.

Statistical notes for clinical researchers: simple linear regression 2 - evaluation of regression line

  • Kim, Hae-Young
    • Restorative Dentistry and Endodontics
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    • v.43 no.3
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    • pp.34.1-34.5
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    • 2018
  • In the previous section, we established a simple linear regression line by finding the slope and intercept using the least square method as: ${\hat{Y}}=30.79+0.71X$. Finding the regression line was a mathematical procedure. After that we need to evaluate the usefulness or effectiveness of the regression line, whether the regression model helps explain the variability of the dependent variable. Also, statistical inference of the regression line is required to make a conclusion at the population level, because practically, we work with a sample, which is a small part of population. Basic assumption of sampling method is simple random sampling.

Efficient Code-based Software Product Line Regression Testing (효율적인 소프트웨어 제품라인 회귀시험을 위한 자동화된 코드 기반 시험 방법)

  • Jung, Pilsu;Kang, Sungwon
    • Journal of Software Engineering Society
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    • v.29 no.2
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    • pp.1-6
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    • 2020
  • Software product line development is a development paradigm that efficiently develops a product family by avoiding redundant development based on separation of the common part and the variable part of the product family. In software product line development, the source code that is used to produce a product family is called a product line code base, and when the product line code base is changed and the products of the product family are affected by the change, the activity of testing the affected products is called a product line regression testing. For product line regression testing, instead of conducting regression testing individually on each product of the product family, a more efficient regression testing would be possible if unnecessary testing that are irrelevant to the change can be avoided. This paper introduces SRTS, which is an automated method to efficiently perform software product line regression testing. SRTS divides the product line code base and test cases based on commonality and variability. Then SRTS identifies and selects the test cases affected by the change. Finally, it reduces unnecessary testing by rerunning only the selected test cases.

The horizontal line detection method using Haar-like features and linear regression in infrared images

  • Park, Byoung Sun;Kim, Jae Hyup
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.12
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    • pp.29-36
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    • 2015
  • In this paper, we propose the horizontal line detection using the Haar-like features and linear regression in infrared images. In the marine environment horizon image is very useful information on a variety of systems. In the proposed method Haar-like features it was noted that the standard deviation be calculated in real time on a static area. Based on the pixel position, calculating the standard deviation of the around area in real time and, if the reaction is to filter out the largest pixel can get the energy map of the area containing the straight horizontal line. In order to select a horizontal line of pixels from the energy map, we applied the linear regression, calculating a linear fit to the transverse horizontal line across the image to select the candidate optimal horizontal. The proposed method was carried out in a horizontal line detecting real infrared image experiment for day and night, it was confirmed the excellent detection results than the legacy methods.

Correlation and Simple Linear Regression (상관성과 단순선형회귀분석)

  • Pak, Son-Il;Oh, Tae-Ho
    • Journal of Veterinary Clinics
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    • v.27 no.4
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    • pp.427-434
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    • 2010
  • Correlation is a technique used to measure the strength or the degree of closeness of the linear association between two quantitative variables. Common misuses of this technique are highlighted. Linear regression is a technique used to identify a relationship between two continuous variables in mathematical equations, which could be used for comparison or estimation purposes. Specifically, regression analysis can provide answers for questions such as how much does one variable change for a given change in the other, how accurately can the value of one variable be predicted from the knowledge of the other. Regression does not give any indication of how good the association is while correlation provides a measure of how well a least-squares regression line fits the given set of data. The better the correlation, the closer the data points are to the regression line. In this tutorial article, the process of obtaining a linear regression relationship for a given set of bivariate data was described. The least square method to obtain the line which minimizes the total error between the data points and the regression line was employed and illustrated. The coefficient of determination, the ratio of the explained variation of the values of the independent variable to total variation, was described. Finally, the process of calculating confidence and prediction interval was reviewed and demonstrated.

Training for Huge Data set with On Line Pruning Regression by LS-SVM

  • Kim, Dae-Hak;Shim, Joo-Yong;Oh, Kwang-Sik
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.137-141
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    • 2003
  • LS-SVM(least squares support vector machine) is a widely applicable and useful machine learning technique for classification and regression analysis. LS-SVM can be a good substitute for statistical method but computational difficulties are still remained to operate the inversion of matrix of huge data set. In modern information society, we can easily get huge data sets by on line or batch mode. For these kind of huge data sets, we suggest an on line pruning regression method by LS-SVM. With relatively small number of pruned support vectors, we can have almost same performance as regression with full data set.

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A Fault Detection of Cyclic Signals Using Support Vector Machine-Regression (Support Vector Machine-Regression을 이용한 주기신호의 이상탐지)

  • Park, Seung-Hwan;Kim, Jun-Seok;Park, Cheong-Sool;Kim, Sung-Shick;Baek, Jun-Geol
    • Journal of Korean Society for Quality Management
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    • v.38 no.3
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    • pp.354-362
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    • 2010
  • This paper presents a non-linear control chart based on support vector machine regression (SVM-R) to improve the accuracy of fault detection of cyclic signals. The proposed algorithm consists of the following two steps. First, the center line of the control chart is constructed by using SVM-R. Second, we calculate control limits by variances that are estimated by perpendicular and normal line of the center line. For performance evaluation, we apply proposed algorithm to the industrial data of the chemical vapor deposition process which is one of the semiconductor processes. The proposed method has better fault detection performance than other existing method

A study on the prediction method of the real fault distance using probability to the relay data of transmission line fault location (송전선로 거리표정치에 대한 실 고장거리의 확률적 예측방안)

  • Lee, Y.H.;Back, D.H.;Jang, S.H.
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.10-11
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    • 2006
  • The fault location is obtained from the distance relay that detects the fault of the transmission line. In this time, transmission line crews track down the fault location and the reasons. However, because of having error at the fault location of the distance relay, there is a discordance between real and obtained fault location. As this reason, the inspection time for finding fault location can be longer. In this paper, we proposed the statistical (regression) analysis method based on each type of relay's the historical fault location data and the real fault distance data to improve the problems. With finding the regression equation based on the regression analysis, and putting the relay fault location into that equation, the real fault distance is calculated. As a result of the Prediction fault location, the inspection time of transmission line can be reduced.

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A Study on the Characteristics of the Intonational Slope of the Korean Broadcasting News Utterances (한국어 방송 뉴스 발화의 억양 기울기 특성 연구)

  • In, Ji-Young;Seong, Cheol-Jae
    • MALSORI
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    • no.66
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    • pp.21-39
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    • 2008
  • The purpose of this study is to analyze the intonational slope characteristics of the Korean news utterances. Prosodic phrases were analyzed in terms of the K-ToBI labeling system. In addition, the change of intonation contour that occurs throughout the sentences was discussed in terms of types of media and gender. Results showed that the overall declination of the intonation contour of radio and male revealed a gentler slope than that of TV and female, respectively. While the regression of the top line slope showed male's higher $R^2$ with the number of words, the base line slope of the radio and female was proved to be highly influenced from the number of syllables, words, and prosodic phrases. A lot more independent variables statistically affected to the base line slope. This means that the base line slope was strongly related to the variables, the top line slope, otherwise, could be more freely fluctuated due to the light correlation with them.

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Efficient Signal Detection Based on Artificial Intelligence for Power Line Communication Systems (전력선통신 시스템을 위한 인공지능 기반 효율적 신호 검출)

  • Kim, Do Kyun;Hwang, Yu Min;Sim, Issac;Kim, Jin Young
    • Journal of Satellite, Information and Communications
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    • v.12 no.2
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    • pp.42-45
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    • 2017
  • It is known that power line communication systems have more noise than general wired communication systems due to the high voltage that flows in power line cables, and the noise causes a serious performance degradation. In order to mitigate performance degradation due to such noise, this paper proposes an artificial intelligence algorithm based on polynomial regression, which detects signals in the impulse noise environment in the power line communication system. The polynomial regression method is used to predict the original transmitted signal from the impulse noise signal. Simulation results show that the signal detection performance in the impulse noise environment of the power line communication is improved through the artificial intelligence algorithm proposed in this paper.