• Title/Summary/Keyword: normality tests

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Testing Whether a Survival Distribution is Better Mean Residual Life at Age $t_0$

  • Alwasel Ibrahim A.;El-Bassiouny Ahmed H.
    • International Journal of Reliability and Applications
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    • v.7 no.1
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    • pp.1-11
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    • 2006
  • The better mean residual life at $t_0\;(BMRL-t_0)$ class of life distribution is introduced by Kulasekara and Park (1987). They proved that the $BMRL-t_0$ class contains the DMRL class, but it is a proper subclass of the NBUE class. In this paper we develop a new family of tests for testing exponentiality against the $BMRL-t_0\;(WMRL-t_0)$ alternatives based on the goodness of fit approach. It is shown that the suggested test is better than the one introduced by Kulasekara and Park (1987) in the sense of Pitman asymptotic efficiency values.

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Grinding Characteristic of Diamond Burs in Dentistry (치과용 다이아몬드 버의 연삭 가공 특성)

  • 이근상
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.414-418
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    • 1996
  • This paper aims at reviewing the possibility application over normal or abnormal, detection used by AE and the characteristics of grinding process. In this study, when diamond bur in dentistry with chosen grinding conditions were tuned at grinding. The variation of grinding resistance and AE signal is detected by the use of AE measuring system. The tests are carried out in accordance with diamond burs and workpiece: arcyl and cowteeth. According to the experiment results, the following can be expected; AE has the possibility to detect the state normality and abnormality. However, the grinding resistance measuring can find it difficult to detect it. It can be accurately excepted from AE occurrence pattern in contact start point of diamond but and cowteeth, grinding condition and derailment point. It is known that AErms is well compatible with grinding resistance.

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Nonparametric test for ordered alternatives in multifactor designeds (다요인실험계획에서 순서대립가설에 대한 비모수검정법의 연구)

  • 김동희;임동훈
    • The Korean Journal of Applied Statistics
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    • v.3 no.1
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    • pp.11-25
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    • 1990
  • The objective of this paper is to propose a nonparametric distribution-free test for ordered alternatives in k crossed factor designs by using the concepts of combined factor and within-blocks ranks. We investigate the asymptotic normality of the proposed test statistic and the Pitman efficiencies. We also compared the small empirical powers of the tests considered in this paper by Monte Carlo study. Thus we can conclude that the proposed test is efficient and robust for the underlying distribution.

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A Robust Wald-Ttype Test in Linear Regression

  • Nam, Ho-Soo
    • Journal of the Korean Statistical Society
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    • v.26 no.4
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    • pp.507-520
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    • 1997
  • In this paper we propose a robust Wald-type test which is based on an efficient Mallows-type one-step GM-estimator. The proposed estimator based on the weight function of Song, Park and Nam (1996) has a bounded influence function and a high breakdown point. Under some regularity conditions, we compute the finite-sample breakdown point, and drive asymptotic normality of the proposed estimator. The level and power breakdown points, influence function and asymptotic distribution of the proposed test statistic are main points of this paper. To compare the performance of the proposed test with other tests, we perform some Monte Carlo simulations.

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A Covariate-adjusted Logrank Test for Paired Survival Data

  • Jeong, Gyu-Jin
    • Communications for Statistical Applications and Methods
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    • v.9 no.2
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    • pp.533-542
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    • 2002
  • In this paper, a covariate adjusted logrank test is considered for censored paired data under the Cox proportional hazard model. The proposed score test resembles the adjusted logrank test of Tsiatis, Rosner and Tritchler (1985), which is derived from the partial likelihood. The dependence structure for paired data is accommodated into the test statistic by using' sum of square type' variance estimators. Several weight functions are also considered, which produce a class of covariate adjusted weighted logrank tests. Asymptotic normality of the proposed test is established and simulation studies with moderate sample size show the proposed test works well, particularly when there are dependence structure between treatment and covariates.

Three-Dimensional Behavior of Granular Soil (압상토의 3차원 거동)

  • 정진섭
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.2
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    • pp.64-72
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    • 1995
  • A series of cubical triaxial tests with three independent principal stresses was per- formed on Baekma river sand( # 40~100). It was found that the major principal strain at failure remained approximately constant for b values larger than about 0.3 for both the drained and undrained condition, and thereafter increased as b value decreased. The test results showed that the direction of the strain increment at failure form acute angles with the failure surfaces for both the drained and undrained condition. The results were thus not in agreement with the normality condition from classic plasticity theory. Howev- er, it was found that the projections of the plastic strain increment vectors on the octahe- dral plane were perpendicular to the failure surface in that plane. Failure strength in terms of effective stress anlaysis was greatly influenced by the variation of intermediate principal stress and so was failure criterion. The effective stress failure surfaces for both the drained and undrained condition were estimated quite well by use of Lade's failure criterion.

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Inference for Bivariate Exponential Model with Bivariate Random Censored Data (이변량 임의 중단된 이변량지수 모형에 대한 추론)

  • Cho, Jang-Sik;Shin, Im-Hee
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.37-45
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    • 1999
  • In this paper, we consider two components system having Marshall-Olkin's bivariate exponential model. For the bivariate random censorship, we obtain maximum likelihood estimators of parameters and system reliability. And we propose the methods of homogeniety and independence tests using asymptotic normality. Also we compute the estimators and p-values of the testings through Monte Carlo simulation.

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Permutation Test for the Equality of Several Independent Cronbach's Alpha Coefficients

  • Um, Yonghwan
    • Journal of the Korea Society of Computer and Information
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    • v.24 no.6
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    • pp.159-164
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    • 2019
  • The statistical inference of Cronbach's alpha measure of internal reliability is known to be inaccurate when sample size is small and the assumption of normality is violated. In this paper, we describe the permutation method in which we compute resampling p-values for testing the difference between two or more independent Cronbach's alpha coefficients. When the over-all permutation test is significant, we also make pairwise post-hoc comparisons using permutaion method. The permutation tests for the equality of two independent Cronbach's alpha coefficients and three independent Cronbach's alpha coefficients are illustrated with an example analysis of survey data.

The Development of Neural Network Model to Improve the Reliability of the Demand/Effort Model for Evaluating Highway Safety (도로위험도를 평가하는 요구/노력모형의 신뢰도 향상을 위한 신경망 모형 개발)

  • Jeong, Bong-Jo;Gang, Jae-Su;Jang, Myeong-Sun
    • Journal of Korean Society of Transportation
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    • v.27 no.2
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    • pp.95-105
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    • 2009
  • Traffic accidents on highways are likely to happen when there is an imbalance in the complex relationships among key elements such as road geometries, driver related factors, and mechanical performances. The Demand-Effort Model (DEM), which evaluates highway safety, can be explained by the imbalance, which occurs when the level of demand of the driver's attention to the road environment exceeds that of the response from the driver. This study suggests a new model that improves the reliability of the current DEM through the reinterpretation on the physiological signals with the help of the Neural Network Model (NNM). The data were collected from 149 subjects, who drove a test vehicle on the Yongdong, Honam, and Seohaean Expressways in Korea. Three important results could be drawn from the recursive tests as follows; (1) Only 5 out of 10 parameters on the physiological signals which are currently used were proven to be meaningful through the Normality Test, Cluster Analysis, and Mann-Whitney Analysis. (2) The revised DEM, which internally uses the NNM, showed more reliable results than existing DEM. Group 1, which is based on the new DEM showed 80.0% of accuracy in measuring the level of driver's efforts, however, that of Group 2 based on the current DEM was 74.3%. (3) Field tests on the Honam Expressway showed lower 'type II error' with the new DEM (40.5%) than the old DEM (58.8%). The DEM is designed as a quick and easy way to determine highway safety prior to the minute road safety audit (RSA) by a professional audit team. Then a new DEM, which is based on the NNM, needs to be considered since it showed higher reliability and lower error.

Response Calibration for Bridges based on Statistical Quality Control Chart (통계적 품질 관리도에 기초한 교량의 응답 보정)

  • Hwang, Jin Ha;An, Seoung Su;Kim, Ju Han
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.1
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    • pp.61-70
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    • 2013
  • This paper presents the response calibration method based on quality control range, which is established from the concept and method of statistical quality control for natural frequency ratio and response ratio. To this end, statistical analysis including descriptive statistics analysis, normality test, ANOVA were performed for response characteristics obtained from loading tests and structural analysis for more than hundred and thirty well-conditioned bridges. Suggested method is based on real structural integrity evaluation case studies and statistical quality control approach, in this respect it is expected to provide scientific criteria and systematic procedure for response calibration and load carrying capacity assessment.