• Title/Summary/Keyword: Data normality

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A STUDY ON PROCESS CAPABILITY INDICES FOR NON-NORMAL DATA

  • Kwon Seungsoo;Park Sung H.;Xu Jichao
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.159-173
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    • 1998
  • Quality characteristics on the properties of process capability indices (PCIs) are often required to be normally distributed. But, if a characteristic is not normally distributed, serious errors can result from normal-based techniques. In this case, we may well consider the use of new PCIs specially designed to be robust for non-normality. In this paper, a newly proposed measure of process capability is introduced and compared with existing PCIs using the simulated non-normal data.

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A Decision Tree-based Analysis for Paralysis Disease Data

  • Shin, Yangkyu
    • Communications for Statistical Applications and Methods
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    • v.8 no.3
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    • pp.823-829
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    • 2001
  • Even though a rapid development of modem medical science, paralysis disease is a highly dangerous and murderous disease. Shin et al. (1978) constructed the diagnosis expert system which identify a type of the paralysis disease from symptoms of a paralysis disease patients by using the canonical discriminant analysis. The decision tree-based analysis, however, has advantages over the method used in Shin et al. (1998), such as it does not need assumptions - linearity and normality, and suggest appropriate diagnosis procedure which is easily explained. In this paper, we applied the decision tree to construct the model which Identify a type of the paralysis disease.

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A new test of exponentiality against NDVRL

  • Hassan, M.KH.
    • International Journal of Reliability and Applications
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    • v.16 no.2
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    • pp.123-133
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    • 2015
  • In this paper, the problem of testing exponentiality against net decreasing variance residual lifetime (NDVRL) classes of life distributions is investigated. For this property a nonparametric test is presented based on kernel method. The test is presented for complete and right censored data. Furthermore, Pitman's asymptotic relative efficiency (PARE) is discussed to assess the performance of the test with respect to other tests. Selected critical values are tabulated. Some numerical simulations on the power estimates are presented for proposed test. Finally, numerical examples are presented for the purpose of illustrating our test.

The Estimation of Mean Residual Life Function under Left Truncation and Right Censoring Model

  • Moon, Gyoung-Ae;Shin, Im-Hee;Chae, Hyeon-Suk
    • Journal of the Korean Data and Information Science Society
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    • v.6 no.2
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    • pp.65-76
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    • 1995
  • The importance of left truncated and right censoring cases has considered for better information in medical follow-up and engineering life testing studies. We propose some estimation procedure for the mean residual life function with consistency and asymptotic normality on the left truncated and right censoring model. And then, the comparision with Kaplan-Meier estimator ignoring the left truncated effect and the small sample properities are investigated by asymptotic biases and M.S.E.'s thresh Monte Carlo study.

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A Cholesky Decomposition of the Inverse of Covariance Matrix

  • Park, Jong-Tae;Kang, Chul
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.1007-1012
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    • 2003
  • A recursive procedure for finding the Cholesky root of the inverse of sample covariance matrix, leading to a direct solution for the inverse of a positive definite matrix, is developed using the likelihood equation for the maximum likelihood estimation of the Cholesky root under normality assumptions. An example of the Hilbert matrix is considered for an illustration of the procedure.

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Invariance Properties for Statistics Based on the Sample Lorenz Curve

  • Kang, Suk-Bok;Cho, Young-Suk
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.3
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    • pp.653-660
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    • 2003
  • In this paper, we prove that the transformed sample Lorenz curve, normalized sample Lorenz curve, and the test statistics for testing of normality based on the normalized sample Lorenz curve and the modified Lorenz curve which were introduced by Kang and Cho (2001a, 2002) are location and scale invariant statistics.

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A Test For Trend Change in Failure Rate Using Censored Data

  • Kim, Jae-Joo;Jeong, Hai-Sung;Na, Myung-Hwan
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.365-371
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    • 2000
  • The problem of trend change in the failure rate is great interest in the reliability and survival analysis. In this paper we develop a test statistic for testing whether or not the failure rate changes its trend using random censored data. The asymptotic normality of the test statistic is established. We discuss the efficiency values of loss due to censoring.

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A Test For Trend Change in Failure Rate Using Censored Data

  • Kim, Jae Joo;Jeong, Hai Sung;Na, Myung Hwan
    • International Journal of Quality Innovation
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    • v.1 no.1
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    • pp.58-63
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    • 2000
  • The problem of trend change in the failure rate is great interest in the reliability and survival analysis. In this paper we develop a test statistic for testing whether or not the failure rate changes its trend using random censored data. The asymptotic normality of the test statistic is established. The efficiency values of loss due to censoring are discussed.

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Receiver Operating Characteristic (ROC) Curves Using Neural Network in Classification

  • Lee, Jea-Young;Lee, Yong-Won
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.4
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    • pp.911-920
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    • 2004
  • We try receiver operating characteristic(ROC) curves by neural networks of logistic function. The models are shown to arise from model classification for normal (diseased) and abnormal (nondiseased) groups in medical research. A few goodness-of-fit test statistics using normality curves are discussed and the performances using neural networks of logistic function are conducted.

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