• Title/Summary/Keyword: K-S test statistics

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A Nonparametric Stratified Test Based on the Jonckheere-Terpstra Trend Statistic (Jonckheere-Terpstra 추세 검정통계량에 근거한 비모수적 층화분석법)

  • Cho, Do-Yeon;Yang, Soo;Song, Hae-Hiang
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1081-1091
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    • 2010
  • Clinical trials are often carried out as multi-center studies because the patients enrolled for a trial study are very limited in one particular hospital. In these circumstances, the use of an ordinary Jonckheere (1954) and Terpstra (1952) test for testing trend among several independent treatment groups is invalid. We propose a the stratified Jonckheere-Terpstra test based on van Elteren (1960)'s stratified test of Wilcoxon (1945) statistics and an application of our method is demonstrated through example data. A simulation study compares the efficiency of stratified and unstratified Jonckheere-Terpstra trend tests.

Consistency of a Modified W Test for Exponentiality

  • Kim, Namhyun
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.629-637
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    • 2002
  • Shapiro and Wilk(1972) developed a test for exponentiality with origin and scale unknown. The procedure consists of comparing the generalized least squares estimate of scale with the estimate of scale given by the sample variance. However the test based on the statistic is inconsistent Kim(2001a) proposed a modified Shapiro-Wilk's test statistic using the ratio of two asymptotically efficient estimators of scale. In this paper, we study the consistency of the proposed test.

A Bayesian Test Criterion for the Behrens-Firsher Problem

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.193-205
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    • 1999
  • An approximate Bayes criterion for Behrens-Fisher problem (testing equality of means of two normal populations with unequal variances) is proposed and examined. Development of the criterion involves derivation of approximate Bayes factor using the imaginary training sample approachintroduced by Spiegelhalter and Smith (1982). The proposed criterion is designed to develop a Bayesian test criterion having a closed form, so that it provides an alternative test to those based upon asymptotic sampling theory (such as Welch's t test). For the suggested Bayes criterion, numerical study gives comparisons with a couple of asymptotic classical test criteria.

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Testing NBUCA Class of Life Distribution Using U-Test

  • Al-Nachawati, H.
    • International Journal of Reliability and Applications
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    • v.8 no.2
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    • pp.125-135
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    • 2007
  • In this paper, testing exponentiality against new better than used in convex average and denote by (NBUCA), or its dual (NWUCA) is investigated through the U-test. The percentiles of these tests are tabulated for samples sizes n = 5(1)40. The power estimates of the test are simulated for some commonly used distributions in reliability. Pitman's asymptotic efficiency of the test is calculated and compared. Data of 40 patients suffering from blood cancer disease (Leukemia) is considered as a practical application of the proposed test in the medical sciences.

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New Wald Test Compared with Chen and Fienberg's for Testing Independence in Incomplete Contingency Tables

  • Kang, Shin-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.1
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    • pp.137-144
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    • 2005
  • In $I{\times}J$ incomplete contingency tables, the test of independence proposed by Chen and Fienberg(1974) uses $I{\times}J-1$ instead of (I-1)(J-1) degrees of freedom without providing much of an increase in the value of the test statistic. For these reasons, Chen and Fienberg tests are expected to have less power. New Wald test statistic related to the part of Chen and Fienberg test statistic is proposed using delta method. These two tests are compared through Monte Carlo studies.

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A Test Procedure for Checking the Proportionality Between Hazard Functions

  • Lee, Seong-Won;Kim, Ju-Seong
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.3
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    • pp.561-570
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    • 2003
  • We propose a nonparametric test procedure for checking the proportionality assumption between hazard functions using a functional equation. Because of the involvement of censoring distribution function, we consider the large sample case only and obtain the asymptotic normality of the proposeed test statistic. Then we discuss the rationale of the use of the functional equation, give some examples and compare the performances with Andersen's procedure by computing powers through simulations.

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An educational tool for regression models with dummy variables using Excel VBA (엑셀 VBA을 이용한 가변수 회귀모형 교육도구 개발)

  • Choi, Hyun Seok;Park, Cheolyong
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.3
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    • pp.593-601
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    • 2013
  • We often need to include categorial variables as explanatory variables in regression models. The categorial variables in regression models can be quantified through dummy variables. In this study, we provide an education tool using Excel VBA for displaying regression lines along with test results for regression models with a continuous explanatory variable and one or two categorical explanatory variables. The regression lines with test results are provided step by step for the model(s) with interaction(s), the model(s) without interaction(s) but with dummy variables, and the model without dummy variable(s). With this tool, we can easily understand the meaning of dummy variables and interaction effect through graphics and further decide which model is more suited to the data on hand.

AN ADAPTIVE SEQUENTIAL PROBABILITY RATIO TEST IN THE AUTOREGRESSIVE PROCESS

  • Choi, Ki-Heon
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.373-378
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    • 2003
  • consider the problem of sequentially hypotheses about a parameter $\theta$ in the presence of the nuisance parameter $\rho$. and we investigate further to computing the error probabilities and expected sample sizes in the frequentist properties of the adaptive S.P.R.T. for $\theta$.

Generation of inflow turbulent boundary layer for LES computation

  • Kondo, K.;Tsuchiya, M.;Mochida, A.;Murakami, S.
    • Wind and Structures
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    • v.5 no.2_3_4
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    • pp.209-226
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    • 2002
  • When predicting unsteady flow and pressure fields around a structure in a turbulent boundary layer by Large Eddy Simulation (LES), velocity fluctuations of turbulence (inflow turbulence), which reproduce statistical characteristics of the turbulent boundary layer, must be given at the inflow boundary. However, research has just started on development of a method for generating inflow turbulence that satisfies the prescribed turbulence statistics, and many issues still remain to be resolved. In our previous study, we proposed a method for generating inflow turbulence and confirmed its applicability by LES of an isotropic turbulence. In this study, the generation method was applied to a turbulent boundary layer developed over a flat plate, and the reproducibility of turbulence statistics predicted by LES computation was examined. Statistical characteristics of a turbulent boundary layer developed over a flat plate were investigated by a wind tunnel test for modeling the cross-spectral density matrix for use as targets of inflow turbulence generation for LES computation. Furthermore, we investigated how the degree of correspondence of the cross-spectral density matrix of the generated inflow turbulence with the target cross-spectral density matrix estimated by the wind tunnel test influenced the LES results for the turbulent boundary layer. The results of this study confirmed that the reproduction of cross-spectra of the normal components of the inflow turbulence generation is very important in reproducing power spectra, spatial correlation and turbulence statistics of wind velocity in LES.

Predictors of Quality of Life among Grandparents Raising Their Grandchildren: An Ecological Approach

  • Min, Deulle;Kim, Suhee
    • Research in Community and Public Health Nursing
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    • v.28 no.1
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    • pp.1-12
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    • 2017
  • Purpose: The purpose of this study is to examine factors affecting quality of life among grandparents raising their grandchildren. Methods: This study carried out a secondary analysis of data from the 2014 Korean Longitudinal Study of Aging (KLoSA) and Statistics Korea. Data collected from 224 grandparents who reported raising their grandchildren were analyzed using descriptive statistics, independent t-test, ANOVA, pearson correlation coefficient, and multilevel regression analysis. Results: The mean score of the participants' quality of life was 62.63. Significant predictors of quality of life of the grandparents included subjective health status, last year's total house income, number of last year's travels, frequency of last year's movie seeing, and number of children's parks per 100,000 population. Conclusion: These results suggest that public health nurses in improving quality of life of grandparents focus on children's parks and formal social supports as community factors as well as regular exercise as an individual factor in order to be more effective.