• Title/Summary/Keyword: Test for linear relationship

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Minimum Mean Squared Error Accelerated Life Test Plans for Exponential Lifetime Distribution

  • Joong Yang Park
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.13-19
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    • 1995
  • This paper considers model robust accelerated life test plans for estimating the logmean or percentile of product lige which is exponentially distributed. A linear relationship between the log mean life and the stress is assumed as usual, while the true relationship is quadratic. Optimum plans are then obtained by minimizing asymptotic mean squared error of maximum likelihood estimator of the log mean life.

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Evaluation of Surface Color of Apples and Tomatoes by Using Color Sensors (칼라 센서를 이용한 사과와 토마토의 색상 판정)

  • Bae, Y.H.;Joo, C.
    • Journal of Biosystems Engineering
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    • v.18 no.4
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    • pp.382-389
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    • 1993
  • In this research, the surface color of 'Fuji' apples and tomatoes were measured by using Sharp PD 151 semiconductor color sensors. The measurements were compared with color-difference-meter readings and with visual sensory test scores. A negative exponential function was developed which describe the relationship between the dominant wavelength of the surface color of 'Fuji' apples and the ratio of the photoelectric currents of the color sensor. Also a linear relationship was found for the surface color of tomatoes and the color sensor output. There were good correlations between the visual test scores and the color sensor output for both 'Fuji' apples and tomatoes.

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Relationship between Self-Esteem and Stress among Adolescents (청소년 시기별 자아존중감과 스트레스 간의 관련성 비교)

  • Lee, Ju Yul
    • The Journal of Korean Society for School & Community Health Education
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    • v.17 no.3
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    • pp.49-59
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    • 2016
  • Objectives: This study was conducted to investigate the relationship between self-esteem and stress among adolescents. Methods: The subjects of this study were 1,025 from elementary, middle and high school students in Dangjin city. Data were measured using self-esteem scale and brief encounter psychosocial instrument. The data were analyzed frequencies, t-test, ANOVA, Pearson's correlation coefficient and multiple linear regression analysis using the SPSS 12.0 program. Results: Self-esteem was correlated with stress negatively among adolescents. In multiple linear regression analysis, self-esteem had a statistically significant negative effect on stress. Affecting factors of the self-esteem in all schools were grades, economic status and relationship with parents. Conclusion: The results of this study help to provide a basis for the development of a self-esteem management program to alleviate the stress for adolescents. The program of human relationship should be developed and provided to improve the self-esteem.

A linearity test statistic in a simple linear regression (단순회귀모형에서 선형성 검정통계량)

  • Park, Chun Gun;Lee, Kyeong Eun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.2
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    • pp.305-315
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    • 2014
  • In a simple linear regression, a linear relationship between an explanatory variable and a response variable can be easily recognized in the scatter plot of them. The lack of fit test for the replicated data is commonly used for testing the linearity but it is not easy to test the linearity when the explanatory variable is not replicated. In this paper, we propose three new test statistics for testing the linearity regardless of replication using the principle of average slope and validate them through several simulations and empirical studies.

On the Cointegrating Relationship between Stock Prices and Earnings

  • Nam, Doo-Woo
    • Korean Business Review
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    • v.20 no.2
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    • pp.1-13
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    • 2007
  • The purpose of this study is to investigate a simple present value model Involving earnings (i.e., the earnings discount model) that presumes a relationship between stock prices and earnings. The model suggests a simple linear equilibrium relationship between stock prices and earnings. The tests for cointegration render strong support for the cointegration hypothesis between stock prices (Pt) and earnings (Xt) even at the one-percent significance level. The tests are based on residuals from a cointegrating regression of Pt on Pt+l + Xt. This suggests that there is a stable long-nu equilibrium relationship between stock prices and earnings. The results of the tests lead to the acceptance of the present value model of stock prices involving earnings.

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Testing the Equality of Two Linear Regression Models : Comparison between Chow Test and a Permutation Test

  • Um, Yonghwan
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.8
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    • pp.157-164
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    • 2021
  • Regression analysis is a well-known statistical technique useful to explain the relationship between response variable and predictor variables. In particular, Researchers are interested in comparing the regression coefficients(intercepts and slopes) of the models in two independent populations. The Chow test, proposed by Gregory Chow, is one of the most commonly used methods for comparing regression models and for testing the presence of a structural break in linear models. In this study, we propose the use of permutation method and compare it with Chow test analysis for testing the equality of two independent linear regression models. Then simulation study is conducted to examine the powers of permutation test and Chow test.

An Accelerated Life Test for Burnout of Tungsten Filament of Incandescent Lamp (텅스텐 백열전구의 필라멘트 단선에 대한 가속수명시험)

  • 이재국;김진우;신재철;김명수
    • Proceedings of the Korean Reliability Society Conference
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    • 2004.07a
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    • pp.129-137
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    • 2004
  • This paper presents an accelerated life test for burnout of tungsten filament of incandescent lamp. From failure analyses of field samples, it is shown that their root causes are local heating or hot sports in the filament caused by tungsten evaporation and wire sag. Finite element analysis is performed to evaluate the effect of vibration and impact for burnout, but any points of stress concentration or structural weakness are not found in the sample. To estimate the burnout life of lamp, an accelerated life test is planned by using quality function deployment and fractional factorial design, where voltage, vibration, and temperature are selected as accelerating variables. We assumed that Weibull lifetime distribution and a generalized linear model of life-stress relationship hold through goodness of fit test and test for common shape parameter of the distribution. Using accelerated life testing software, we estimated the common shape parameter of Weibull distribution, life-stress relationship, and accelerating factor.

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Relationship between Adaptation Luminance and Threshold Zone Luminance for Vehicular Traffic Tunnels (터널 순응휘도와 경계부 휘도의 관계 연구)

  • Cho, Won Bum;Jeong, Jun Hwa
    • International Journal of Highway Engineering
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    • v.16 no.3
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    • pp.85-99
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    • 2014
  • PURPOSES : This study has been performed with the objective to determine threshold zone luminance of adaptation luminance by target safety level in a vehicular traffic tunnel with design speed set at 100km/h. METHODS : The study made a miniature capable of portraying changes in luminance distribution within $2{\times}10^{\circ}$ conical field of view of the driver approaching to the tunnel for the test. Test conditions were set based on justifications for CIE 88-1990's threshold zone luminance used as a reference by domestic tunnel light standards (KS C 3703 : 2010). Luminance contrast of object background and object is 23%, object presentation duration is 0.5 seconds, and size of the object background is $7.3{\times}11.5m^2$ RESULTS : Threshold zone luminance was set within adaptation luminance of $100{\sim}3,000cd/m^2$. Adaptation luminance and threshold zone luminance based on 50%, 75% and 90% target safety level all showed a relatively high linear relationship. According to findings in the study, it is not appropriate to specify the relationship between adaptation luminance and threshold zone luminance as luminance ratio. Rather, direct utilization of the linear relationship gained from the study findings appears to be the better solution. CONCLUSIONS : Findings of this study may be used to determine operation of threshold zone luminance based on target safety level. However, a proper verification and validity of test results are required. Furthermore, a study to determine proper threshold zone luminance level considering target safety level reviewed in this study and various decision-making factors such as economic conditions in Korea and energy-related policies should be carried out in addition. Additional tests on adaptation luminance greater than $3,000cd/m^2$ will be performed, through which application scope of the test findings will be broadened.

Relationship between Shear Wave Velocity, Undrained Shear Strength and Density of Normally Consolidated Silt (실트질 세립토의 전단파속도와 비배수 전단강도 및 밀도의 상관관계)

  • Park, Dong-Sun;Oh, Sang-Hoon;Mok, Young-Jin
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.318-326
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    • 2008
  • Recently, a new seismic probe, called "MudFork", has been developed and can be utilized for accurate and easy measurements of shear wave velocities of soft soils. To expand its use to estimate undrained shear strength and density, correlations between those and shear wave velocity were being attempted. Cone penetration tests and a seismic test, using MudFork, were performed at a soft ground site near Incheon, Korea. Also, undisturbed samples were obtained and shear wave velocities of the samples were measured as well as undrained shear strength, using triaxial compression test and bender elements. A simple linear relationship between shear strength and shear wave velocity was obtained, and a tentative relationship between density and shear wave velocity was also defined.

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Three level constant stress accelerated life tests for Weibull distribution

  • Moon, Gyoung Ae
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.1
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    • pp.281-288
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    • 2015
  • In this paper, the maximum likelihood estimators and confidence intervals for parameters of Weibull distribution are derived under three level constant stress accelerated life tests and the assumption that a log quadratic relationship exits between stress and the scale parameter ${\theta}$. The compound linear plan proposed by Kim (2006) is used to allocate the test units at each stress level, which performed nearly as good as the optimum quadratic plan and had the advantage of simplicity. Some simulation studies are given.