• 제목/요약/키워드: Sample testing

검색결과 986건 처리시간 0.027초

NORMALIZED SAMPLE LORENZ CURVE를 이용한 검정력이 높은 정규성 검정 (More Powerful Test for Normality Based on the Normalized Sample Lorenz Curve)

  • 강석복;조영석
    • 응용통계연구
    • /
    • 제15권2호
    • /
    • pp.415-421
    • /
    • 2002
  • 통계적분석에서 가장 대표적인 가정이 정규성 가정이므로 데이터의 정규성 검정은 매우 중요하다. 이 논문에서는 정규성 검정을 위해 경제학에서 소득분배의 불균형에 관한 척도로 널리 이용되는 Lorenz curve를 변형한 새로운 플롯과 검정통계량을 제시한다. 그리고 제한한 검정을 W검정 (Shapiro and Wilk (1965)), Lorenz curve를 이용한 TL검정(Kang and Cho (1999))과 몬테칼로 방법을 이용하여 검정력을 비교한다. 제안된 검정이 특별한 대립분포의 경우를 제외하고는 대부분 검정력이 높았다.

Goodness-of-fit tests for the inverse Weibull or extreme value distribution based on multiply type-II censored samples

  • Kang, Suk-Bok;Han, Jun-Tae;Seo, Yeon-Ju;Jeong, Jina
    • Journal of the Korean Data and Information Science Society
    • /
    • 제25권4호
    • /
    • pp.903-914
    • /
    • 2014
  • The inverse Weibull distribution has been proposed as a model in the analysis of life testing data. Also, inverse Weibull distribution has been recently derived as a suitable model to describe degradation phenomena of mechanical components such as the dynamic components (pistons, crankshaft, etc.) of diesel engines. In this paper, we derive the approximate maximum likelihood estimators of the scale parameter and the shape parameter in the inverse Weibull distribution under multiply type-II censoring. We also develop four modified empirical distribution function (EDF) type tests for the inverse Weibull or extreme value distribution based on multiply type-II censored samples. We also propose modified normalized sample Lorenz curve plot and new test statistic.

A Bayesian Test for Simple Tree Ordered Alternative using Intrinsic Priors

  • Kim, Seong W.
    • Journal of the Korean Statistical Society
    • /
    • 제28권1호
    • /
    • pp.73-92
    • /
    • 1999
  • In Bayesian model selection or testing problems, one cannot utilize standard or default noninformative priors, since these priors are typically improper and are defined only up to arbitrary constants. The resulting Bayes factors are not well defined. A recently proposed model selection criterion, the intrinsic Bayes factor overcomes such problems by using a part of the sample as a training sample to get a proper posterior and then use the posterior as the prior for the remaining observations to compute the Bayes factor. Surprisingly, such Bayes factor can also be computed directly from the full sample by some proper priors, namely intrinsic priors. The present paper explains how to derive intrinsic priors for simple tree ordered exponential means. Some numerical results are also provided to support theoretical results and compare with classical methods.

  • PDF

A Smooth Goodness-of-fit Test Using Selected Sample Quantiles

  • Umbach, Dale;Masoom Ali, M.
    • Journal of the Korean Statistical Society
    • /
    • 제25권3호
    • /
    • pp.347-358
    • /
    • 1996
  • A new test for goodness-of-fit is presented. It is a modification of a test of LaRiccia (1991). These tests are applicable to continuous lo-cation/scale models. The new test statistic is based on a few selected order statistics taken from the sample, while the LaRiccia test is based directly on the full sample. Each test embeds the hypothesized model in a larger linear model and proceeds to test the goodness-of-fit hy-pothesis by testing the coefficients of this linear model appropriately. The general theory is presented. The tests are compared via computer simulation to a related test of Ali and Umbach (1989) for distributions that could be used as lifetime models. An important aspect of all these tests is that only standard $X_2$ tables are used. Selection of the spacings of the order statistics is discussed.

  • PDF

CONDITIONAL LARGE DEVIATIONS FOR 1-LATTICE DISTRIBUTIONS

  • Kim, Gie-Whan
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제4권1호
    • /
    • pp.97-104
    • /
    • 1997
  • The large deviations theorem of Cramer is extended to conditional probabilities in the following sense. Consider a random sample of pairs of random vectors and the sample means of each of the pairs. The probability that the first falls outside a certain convex set given that the second is fixed is shown to decrease with the sample size at an exponential rate which depends on the Kullback-Leibler distance between two distributions in an associated exponential familiy of distributions. Examples are given which include a method of computing the Bahadur exact slope for tests of certain composite hypotheses in exponential families.

  • PDF

A Note on the Optimum Character of One-Sided Sequential Probability Ratio Tests

  • Abel, Volker
    • 한국경영과학회지
    • /
    • 제9권2호
    • /
    • pp.23-27
    • /
    • 1984
  • We Observe a sequence of i. i. d random variables with density f or g. Only if g is true we should stop the process. Hence. the testing problem is completely described by a stopping time. Among all stopping times with error probability of first kind not exceeding a given bound, the one-sided sequential probability ratio test has smallest expected sample size if g is true. Moreover, the generalized one-sided SPRT has smallest expected sample size for g in the class of stopping times with expected sample size under f not falling below a given bound.

  • PDF

전차선로 드로퍼 클램프 재질 향상에 관한 연구 (The Improvement of Material Quality for Dropper Clamp on the Catenary System)

  • 김연근;창상훈;오기봉
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2002년도 추계학술대회 논문집(I)
    • /
    • pp.547-552
    • /
    • 2002
  • The research sees the catenary dropper clamp using a test equipment which is using actual sample in the field. This test helps the quality improvement of material. For raising the reliability of data, classified it by type and tests especially in the multiple sample but it was under testing in the sample of decimal at circumstance. From the accuracy side of research data it was insufficient because the dropper clamp was in small quantity but it contributes in quality of material improvement. The quality of material data which it gets with spectroscopic was not accurate so hereafter it needs to follow wet analysis and precise analysis to join in the test which is detailed comes to accomplish with the data accuracy.

  • PDF

표본크기에 제약이 있는 누적 축차관리도 (Cumulative Sequential Control Charts with Sample Size Bound)

  • 장영순;배도선
    • 대한산업공학회지
    • /
    • 제25권4호
    • /
    • pp.448-458
    • /
    • 1999
  • This paper proposes sequential control charts with an upper bound on sample size. Existing sequential control charts have no restriction on the number of observations at a sampling point. For situations where sampling and testing an item is time-consuming or expensive, sequential control charts may not be directly applied. When the number of observations in a sampling point reaches the upper bound and there is no out-of-control signal, the proposed cumulative sequential control chart defers the decision to the next sampling point of which starting value is the value of the current statistic. Two Markov chains, inner and outer chains, are used to derive the formulas for evaluating the performance of the proposed chart. It is compared with $\bar{X}$ and cumulative sum control charts with fixed and variable sample sizes. The fast initial response (FIR) feature is studied. Guidelines for the design of the proposed charts are also given.

  • PDF

TEM sample preparation using micro-manipulator for in-situ MEMS experiment

  • Hyunjong Lee;Odongo Francis Ngome Okello;Gi-Yeop Kim;Kyung Song;Si-Young Choi
    • Applied Microscopy
    • /
    • 제51권
    • /
    • pp.8.1-8.7
    • /
    • 2021
  • Growing demands for comprehending complicated nano-scale phenomena in atomic resolution has attracted in-situ transmission electron microscopy (TEM) techniques for understanding their dynamics. However, simple to safe TEM sample preparation for in-situ observation has been limited. Here, we suggested the optical microscopy based micro-manipulating system for transferring TEM samples. By adopting our manipulator system, several types of samples from nano-wires to plate-like thin samples were transferred on micro-electro mechanical systems (MEMS) chip in a single step. Furthermore, the control of electrostatic force between the sample and the probe tip is found to be a key role in transferring process.

Application of Terahertz Spectroscopy and Imaging in the Diagnosis of Prostate Cancer

  • Zhang, Ping;Zhong, Shuncong;Zhang, Junxi;Ding, Jian;Liu, Zhenxiang;Huang, Yi;Zhou, Ning;Nsengiyumva, Walter;Zhang, Tianfu
    • Current Optics and Photonics
    • /
    • 제4권1호
    • /
    • pp.31-43
    • /
    • 2020
  • The feasibility of the application of terahertz electromagnetic waves in the diagnosis of prostate cancer was examined. Four samples of incomplete cancerous prostatic paraffin-embedded tissues were examined using terahertz spectral imaging (TPI) system and the results obtained by comparing the absorption coefficient and refractive index of prostate tumor, normal prostate tissue and smooth muscle from one of the paraffin tissue masses examined were reported. Three hundred and sixty cases of absorption coefficients from one of the paraffin tissues examined were used as raw data to classify these three tissues using the Principal Component Analysis (PCA) and Least Squares Support Vector Machine (LS-SVM). An excellent classification with an accuracy of 92.22% in the prediction set was achieved. Using the distribution information of THz reflection signal intensity from sample surface and absorption coefficient of the sample, an attempt was made to use the TPI system to identify the boundaries of the different tissues involved (prostate tumors, normal and smooth muscles). The location of three identified regions in the terahertz images (frequency domain slice absorption coefficient imaging, 1.2 THz) were compared with those obtained from the histopathologic examination. The tissue tumor region had a distinctively visible color and could well be distinguished from other tissue regions in terahertz images. Results indicate that a THz spectroscopy imaging system can be efficiently used in conjunction with the proposed advanced computer-based mathematical analysis method to identify tumor regions in the paraffin tissue mass of prostate cancer.