• Title/Summary/Keyword: Sample testing

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Comparison Density Representation of Traditional Test Statistics for the Equality of Two Population Proportions

  • Jangsun Baek
    • Communications for Statistical Applications and Methods
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    • v.2 no.1
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    • pp.112-121
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    • 1995
  • Let $p_1$ and $p_2$ be the proportions of two populations. To test the hypothesis $H_0 : p_1 = p_2$, we usually use the $x^2$ statistic, the large sample binomial statistic Z, and the Generalized Likelihood Ratio statistic-2log $\lambda$developed based on different mathematical rationale, respectively. Since testing the above hypothesis is equivalent to testing whether two populations follow the common Bernoulli distribution, one may also test the hypothesis by comparing 1 with the ratio of each density estimate and the hypothesized common density estimate, called comparison density, which was devised by Parzen(1988). We show that the above traditional test statistics ate actually estimating the measure of distance between the true densities and the common density under $H_0$ by representing them with the comparison density.

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A Moment Inequality for Exponential Better (Worse) Than Used EBU (EWU) Life Distributions with Hypothensis Testing Application

  • Abu-Youssef, S.E.
    • International Journal of Reliability and Applications
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    • v.5 no.4
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    • pp.105-113
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    • 2004
  • The exponential better (worse) than used EBU (EWU) class of life distributions is considered. A moment inequality is derived for EBU (EWU) distributions which demonstrate that if the mean life is finite, then all moments exist. Based on this inequality, a new test statistic for testing exponentiality against EBU (EWU) is introduced. It is shown that the proposed test is simple, enjoys good power and has high relative efficiency for some commonly used alternatives. Critical values are tabulated for sample sizes n = 5(1)40. A set of real data is used as a practical application of the proposed test in the medical science.

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An experimental study on the determination of the crack initation load level in rock (암석내 균열성장개시점의 결정을 위한 실험적 연구)

  • Kim, Jaedong
    • Journal of Industrial Technology
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    • v.9
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    • pp.43-49
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    • 1989
  • In this study, 3-point bending test for the mode I state and 4-point shear test for the mode II state were adopted to verify the crack initiation load level through comparing the test results of the acoustic emission and the ASTM testing criteria, using Jecheon granite, as the rock sample. The major result obtained in this study is that the crack initiation load levels obtained by using ASTM testing criteria and by measuring acoustic emissions showed analogous, roughly. However in case of demanding high safety, the crack initiation load level needs to be underestimated to the level that the crack begins to deform nonlinearly.

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Studies on the Aging of Rubber Vulcanizates(PART I) (고무 제품(製品)의 노화성(老化性)에 관(關)한 연구(硏究)(제1보(第1報)))

  • Huh, Dong-Sub;Paik, Nam-Chul
    • Elastomers and Composites
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    • v.1 no.1
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    • pp.56-62
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    • 1966
  • The aging characteristics of vulcanized rubber products manufactured in Korean industries have been studied, especially in terms of relationship between aging temperature and time, and also the comparison of results between Geer's oven testing and tube testing was made. It was assessed from changes in tensile properties resulting from conditioning at elevated temperatures for specified period of time. Even though the recipe of each sample is different, the results, as would be expected, has shown that at lower aging temperature the change of tensile strength indicate moderately and at the elovated severely as shown in Figure 9. Consequently, in spite of that the results from conditioning at various temperatures for certain specified period of time must be equivalent to each other, it shows inignorable tolerance. The results of Geer's oven test and tube test have shown slightly different value. It seemed to be caused by the result of migration phenomena on aging in Geer's oven.

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On inference of multivariate means under ranked set sampling

  • Rochani, Haresh;Linder, Daniel F.;Samawi, Hani;Panchal, Viral
    • Communications for Statistical Applications and Methods
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    • v.25 no.1
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    • pp.1-13
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    • 2018
  • In many studies, a researcher attempts to describe a population where units are measured for multiple outcomes, or responses. In this paper, we present an efficient procedure based on ranked set sampling to estimate and perform hypothesis testing on a multivariate mean. The method is based on ranking on an auxiliary covariate, which is assumed to be correlated with the multivariate response, in order to improve the efficiency of the estimation. We showed that the proposed estimators developed under this sampling scheme are unbiased, have smaller variance in the multivariate sense, and are asymptotically Gaussian. We also demonstrated that the efficiency of multivariate regression estimator can be improved by using Ranked set sampling. A bootstrap routine is developed in the statistical software R to perform inference when the sample size is small. We use a simulation study to investigate the performance of the method under known conditions and apply the method to the biomarker data collected in China Health and Nutrition Survey (CHNS 2009) data.

A Bootstrap Test of Independence for an Absolutely Continuous Bivariate Exponential Model

  • Lee, In Suk;Kim, Dal Ho;Cho, Jang Sik
    • Journal of Korean Society for Quality Management
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    • v.24 no.2
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    • pp.77-86
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    • 1996
  • In this paper, we consider the problem of testing independence in the absolutely continuous bivariate exponential distribution of Block and Basu(1974). We construct a bootstrap procedure for testing zero and non-zero values of the parameter ${\lambda}_3$ which measures the degree of dependence and compare the power of the bootstrap test with likelihood ratio test(LRT) by Gupta et al.(1984) and the test based on maximum likelihood estimator(MLE) $\hat{{\lambda}}_3$ by Hanagal and Kale(1991) for small and moderate sample sizes.

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Laser Generation of Focused Lamb Waves

  • Jhang, Kyung-Young;Kim, Hong-Joon;Kim, Hyun-Mook;Ha, Job
    • Journal of the Korean Society for Nondestructive Testing
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    • v.22 no.6
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    • pp.637-642
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    • 2002
  • An arc-shaped line array slit has been used for the laser generation of focused Lamb waves. The spatially expanded Nd:YAG pulse laser was illuminated through the arc-shaped line array slit on the surface of a sample plate to generate the Lamb waves of the same pattern as the slit. Then the generated Lamb waves were focused at the focal point of which distance from the slit position is dependent on the curvature of slit arc. The proposed method showed better spatial resolution than the conventional linear array slit in the detection of laser machined linear defect and drill machined circular defect on aluminum plates of 2mm thickness. Using the focused waves, we could detect the linear defect and the circular defect with the improvement of spatial resolution. The method can also be combined with the scanning mechanism to get an image just like by the scanning acoustic microscope(SAM).

Micro-Structure Measurement and Imaging Based on Digital Holography

  • Kim, Kyeong-Suk;Jung, Hyun-Chul;Chang, Ho-Seob;Kee, Chang-Doo;Akhter, Naseem
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.3
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    • pp.257-260
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    • 2010
  • Advancements in the imaging and computing technology have opened the path to digital holography for non-destructive investigations of technical samples, material property measurement, vibration analysis, flow visualization and stress analysis in aerospace industry which has widened the application of digital holography in the above fields. In this paper, we demonstrate the non-destructive investigation and micro-structure measurement application of digital holography to the small particles and a biological sample. This paper gives a brief description of the digital holograms recorded with this system and illustratively demonstrated.

Characteristics on Temperature Evolution in the Metallic Specimen by Ultrasound-Excited Thermography

  • Choi, M.Y.;Park, J.H.;Kang, K.S.;Kim, W.T.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.3
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    • pp.200-206
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    • 2010
  • In ultrasound-excited thermography, the injected ultrasound to an object is transformed to heat and the appearance of defects can be visualized by thermography camera. The advantage of this technology is selectively sensitive to thermally active defects. Despite the apparent simplicity of the scheme, there are a number of experimental considerations that can complicate the implementation of ultrasound excitation thermography inspection. Factors including acoustic horn location, horn-crack proximity, horn-sample coupling, and effective detection range all significantly affect the detect ability of this technology. As conclusions, the influence of coupling pressures between ultrasound exciter and specimen was analyzed, which was dominant factor in frictional heating model.

A Goodness of Fit Approach to Major Lifetesting Problems

  • Ahmad, Ibrahim A.;Alwasel, Ibrahim A.;Mugdadi, A.R.
    • International Journal of Reliability and Applications
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    • v.2 no.2
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    • pp.81-97
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    • 2001
  • Lifetesting problems have been the subject of investigations for over three decades. Most suggested approaches are markedly different from those used in the related but wider goodness of fit problems. In the current investigation, it is demonstrated that a goodness of fit approach is possible in many lifetesting problems and that It results in simpler procedures that are asymptotically equivalent or better than standard ones. They may also have superior finite sample behavior. Several perennial classes are addressed here. The class of increasing failure rate (IFR) and the class of new better than used (NBU) are addressed first. In addition, we provide testing for a newer and practical class of new better than used in convex ordering (NBUC) due to Cao and Wang (1991). Other classes can be developed similarly and this point is illustrated with the classes of new better than used in expectation (NBUE) and harmonic new better than used in expectation (HNBUE).

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