• Title/Summary/Keyword: Test for linear relationship

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A Bootstrap Test for Linear Relationship by Kernel Smoothing (희귀모형의 선형성에 대한 커널붓스트랩검정)

  • Baek, Jang-Sun;Kim, Min-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.95-103
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    • 1998
  • Azzalini and Bowman proposed the pseudo-likelihood ratio test for checking the linear relationship using kernel regression estimator when the error of the regression model follows the normal distribution. We modify their method with the bootstrap technique to construct a new test, and examine the power of our test through simulation. Our method can be applied to the case where the distribution of the error is not normal.

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Compound Linear Test Plan for 3-level Constant Stress Tests

  • Kim, In-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.945-952
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    • 2006
  • Several accelerated life test plans use tests at only two levels of stress and thus, have practical limitations. They highly depend upon the assumption of a linear relationship between stress and time-to-failure and use only two extreme stresses that can cause irrelevant failure modes. Thus 3-level stress plans are preferable. When the lifetime distribution of test unit is exponential with mean lifetime $\theta_i$ at stress $x_i$, i=0, 1, 2, 3, we derive the optimum quadratic plan under the assumption that a quadratic relationship exists between stress and log(mean lifetime), and propose the compound linear plans, as an alternative to the optimum quadratic plan. The proposed compound linear plan is better than two other compromise plans for constant stress testing and nearly as good as the optimum quadratic plan, and has the advantage of simplicity.

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Asymptotic Expansion of the Distribution of a Studentized Test Statistic for the Slope Parameter in a Simple Linear Structural Relationship

  • Chang, Kyung;Dahm, P. Frederic
    • Journal of Korean Society for Quality Management
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    • v.21 no.1
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    • pp.171-180
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    • 1993
  • Variables, x and y are said to have a linear relation if $y={\beta}_0+{\beta}_1\;x$, and ${\beta}_0$ and ${\beta}_1$ are constants. The relationship is called a structural relationship if x has positive variance (i.e., x is not fixed) and only error-prone measurements of x and y can be obtained. This paper derives (to order $n^{+1/2}$) an approximate distribution of the Studentized test statistic for testing hypotheses about the slope parameter, ${\beta}_1$ in a simple linear structural model. A simulation study suggests our approximate distribution is more accurate approximation to the exact distributions of the Studentized statistic than is the limiting distribution.

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Quantitative Structure Activity Relationship Prediction of Oral Bioavailabilities Using Support Vector Machine

  • Fatemi, Mohammad Hossein;Fadaei, Fatemeh
    • Journal of the Korean Chemical Society
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    • v.58 no.6
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    • pp.543-552
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    • 2014
  • A quantitative structure activity relationship (QSAR) study is performed for modeling and prediction of oral bioavailabilities of 216 diverse set of drugs. After calculation and screening of molecular descriptors, linear and nonlinear models were developed by using multiple linear regression (MLR), artificial neural network (ANN), support vector machine (SVM) and random forest (RF) techniques. Comparison between statistical parameters of these models indicates the suitability of SVM over other models. The root mean square errors of SVM model were 5.933 and 4.934 for training and test sets, respectively. Robustness and reliability of the developed SVM model was evaluated by performing of leave many out cross validation test, which produces the statistic of $Q^2_{SVM}=0.603$ and SPRESS = 7.902. Moreover, the chemical applicability domains of model were determined via leverage approach. The results of this study revealed the applicability of QSAR approach by using SVM in prediction of oral bioavailability of drugs.

Analysis of reliability test results of low-pass filter assembly (저역필터 어셈블리에 대한 신뢰성시험 결과의 해석)

  • Baik, Jaiwook
    • Journal of Applied Reliability
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    • v.14 no.1
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    • pp.45-51
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    • 2014
  • Thermal shock tests at two stress levels were performed to see the life (cycles) of LPF ASSY (low pass filter assembly) at normal stress level. In this case Coffin-Manson relationship is generally used to describe the relationship between the temperature difference and the life, together with the Weibull distribution describing the life at each stress level. So for given data Coffin-Manson is fitted to predict the life at normal stress level. However, different types of models are appropriate for this type of test. Hence, a more appropriate model such as General log-linear model which can also incorporate the duration at the highest and lowest temperatures and acceleration time will be introduced.

A Study on Financial Attitudes, Spending Behaviors and the Financial Satisfaction of Adolescent Consumers (청소년의 재정적 태도와 소비행동 및 재정만족도)

  • Hong Eun-Sil
    • Journal of Families and Better Life
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    • v.24 no.2 s.80
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    • pp.73-92
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    • 2006
  • This paper investigates the causal relationships between financial attitudes, spending behaviors and the financial satisfaction of adolescent consumers. The study used Cronbach' $\alpha$, t-test, one-way ANOVA, Duncan's multiple range test, multiple regression and path analysis for statistical analysis and applied it to 1,252 questionnaires. The results are summarized as follows: Path analysis revealed that the financial satisfaction of adolescents had a direct linear relationship with variables such as grade, sex, financial attitudes. (financial situation compared to past and financial situation compared to others) and types of spending behaviors (planned, conspicuous and excessive). Planned spending behavior was the most influential variable on financial satisfaction. Planned spending behavior had positive linear relationship with the attitude toward the past financial situation. Conspicuous spending behavior had positive linear relationships with the attitudes toward the past financial situation and the financial situation compared to others. However, it showed negative relationship with the attitude toward a future financial situation. Impulsive spending behavior had a positive relationship with the attitude toward others' financial situation. Excessive spending had a positive relationship with the attitude toward a past financial situation but showed a negative relationship to the attitude toward others' financial situation.

Relationship between Normal Measurement and Error Rate of Output Voltage Linear Ratio of Seismic Accelerometer in Use (사용 중 지진 가속도계의 정상 측정과 출력전압 선형비 오차율 관계 분석)

  • Min-Jun Kim;Seong-Cheol Cho;Yong-Hun Jung;Jeong-Hun Won
    • Journal of the Korean Society of Safety
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    • v.39 no.2
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    • pp.65-74
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    • 2024
  • We analyzed the relationship between the normal measurement of the seismic accelerometer (SA) and the error rate of the output voltage linear ratio to propose an evaluation method to determine whether the SA in use is measuring normally. Utilizing a test bed, the regular operation of SA in use was evaluated using acceleration data measured through impact tests since there are no regulations regarding performance testing of SA in use. For the used SA, the error rate of the output voltage linear ratio, which is a major performance criterion, was evaluated. We analyzed common characteristics of the SA that satisfied the impact test and the performance criteria of the output voltage linear ratio error rate. The results indicated that we must consider the decreasing trend and convergence of the error rate as the measurement angle increases, ensuring that the average value of the output voltage linear ratio error rate is within 1%.

Adjustment of a Studentized Test Statistic and a Normalized Test Statistic in a Simple Linear Structural Relationship

  • Chang, Kyung
    • Journal of Korean Society for Quality Management
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    • v.21 no.2
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    • pp.156-161
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    • 1993
  • Limiting distributions of Studentized test statistics have been shown for testing the slope parameter in a simple linear structural model. Since the limiting distribution of Studentized one appears to yield inaccurate inference, this paper suggests adjustment of critical value and normalization of the Studentized one. As results, we can have procedures for refined inference based on our approximate distrbution instead of the limiting distribution.

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Linear System Analysis Using Wavelets Transform: Application to Ultrasonic Signal Analysis (웨이브렛 변환을 이용한 선형시스템 분석: 초음파 신호 해석의 응용)

  • Joo, Young Bok
    • Journal of the Semiconductor & Display Technology
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    • v.19 no.4
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    • pp.77-83
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    • 2020
  • The Linear system analysis for physical system is very powerful tool for system diagnostic utilizing relationship between the input signal and output signal. This method utilized generally to investigate physical properties of system and the nondestructive test by ultrasonic signals. This method can be explained by linear system theory. In this paper the Continuous Wavelets Transform is utilized to search the relation between the linear system and continuous wavelets transform.

Classification of Service Attributes and Strategic Customer Service Management based on the Asymmetric and Non-linear Relationship between Service Attributes and Customer Satisfaction (서비스 속성과 고객만족과의 비대칭적, 비선형적 관계에 근거한 서비스 속성 분류와 전략적 고객서비스 경영)

  • Park, Jung-Young;Lee, Gye-Hee
    • Journal of the Korean Society of Food Culture
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    • v.23 no.5
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    • pp.605-615
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    • 2008
  • The principal objective of this study was to categorize service attributes on the basis of the asymmetric and non-linear relationship existing between service attributes and customer satisfaction. Researchers generally assume that service attribute performances and customer satisfaction are both symmetrical and linear. That is to say, improvements in attribute performance will inevitably result in increased customer satisfaction. However, this is not always the case. Certain attributes have been shown not to create satisfaction even when improved, and others do not create dissatisfaction even when their performance ratings become negative. Understanding this relationship is crucial not only to researchers, but also to service managers. Service managers can arrange their priorities with regard to which attributes must be improved or promoted first, in an environment of limited technical, financial, and human resources. Many studies into this asymmetric and non-linear relationship have recently been conducted, beginning with Herzberg's motivation-hygiene theory (1976) and the disconfirmation theory, which was eventually developed into Kano's model (1984). This study attempted to determine the impact level of service attributes on incidents of satisfaction or dissatisfaction. It used 30 service attributes generated by Park (2008) in the CIT research into family restaurants. The data were collected from 600 participants, 300 incidences of satisfaction and 300 incidents of dissatisfaction, via an online survey. The t-test was used to confirm the difference between the satisfaction group's and dissatisfaction group's attributes. 11 attributes were found to be significant at a level of p>0.05. This indicates that the 11 attributes exerted different impacts on satisfaction and dissatisfaction, which confirmed the asymmetric and non-linear relationship. 14 attributes were categorized into the core service, 1 attribute into the quality service, 7 attributes into the basic service, and 8 attributes into the neutral service. Strategic customer service management was recommended for the 'A' family restaurant as an example, on the basis of the asymmetric and non-linear relationship and the characteristics of the four service factors.