• Communications for Statistical Applications and Methods
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• 제17권4호
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• pp.493-505
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• 2010

Developing a test for independence of random variables X and Y against the alternative has an important role in statistical inference. Kochar and Gupta (1987) proposed a class of tests in view of Block and Basu (1974) model and compared the powers for sample sizes n = 8, 12. In this paper, we evaluate Kochar and Gupta (1987) class of tests for testing independence against quadrant dependence in absolutely continuous bivariate Farlie-Gambel-Morgenstern distribution, via a simulation study for sample sizes n = 6, 8, 10, 12, 16 and 20. Furthermore, we compare the power of the tests with that proposed by G$\ddot{u}$uven and Kotz (2008) based on the asymptotic distribution of the test statistics.

• Journal of applied mathematics & informatics
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• 제26권3_4호
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• pp.679-688
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• 2008

In multivariate regression analysis there exist many influence measures on the regression estimates. However it seems to be few of influence diagnostics on test statistics in hypothesis testing. Case-deletion approach is fundamental for investigating influence of observations on estimates or statistics. Tang and Fung (1997) derived single case-deletion of the Wilks' ratio, Lawley-Hotelling trace, Pillai's trace for testing a general linear hypothesis of the regression coefficients in multivariate regression. In this paper we derived more extended form of those measures to deal with joint influence among observations. A numerical example is given to illustrate the effect of joint influence on the test statistics.

• Journal of the Korean Statistical Society
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• 제19권2호
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• pp.128-138
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• 1990

In this paper we study the properties of nonparametric tests for testing the null hypothesis of no changes against one sided and two sideds alternatives in scale parameter at unknown point. We first propose two types of nonparametric tests based on linear rank statistics and rank-like statistics, respectively. For these statistics, we drive the asymptotic distributions under the null and contiguous alternatives. The main theoreticla tools used for derivation are the stochastic process representation of the test staistic and the Brownian bridge approximation. We evaluate the Pitman efficiencies of the test for the contiguous alternatives, and also compute empirical power by Monte Carlo simulation.

• Journal of the Korean Data and Information Science Society
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• 제14권2호
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• pp.187-199
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• 2003

We deal with the problem of testing a sequence of independent normal random variables with constant, known or unknown, variance for no change in mean versus alternatives with a single change-point. Various tests based on the likelihood ratio and recursive residuals, score statistics and cusums are studied. Proposed tests are modified version of Buckley's cusum statistics. A comparison study of various change-point test statistics is done by Monte Carlo simulation with S-plus software.

• 응용통계연구
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• 제30권4호
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• pp.503-512
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• 2017

선다형 문제의 경우 특정 위치의 답을 선호하는 수험생의 응답경향이 시험 결과에 미치는 영향을 최소화하기 위하여 정답배열을 특정위치에 편중되지 않고 고르게 분포할 필요가 있다. 이는 정답배열이 특정 번호에 편중되어 있으면 정답을 모를 때 중앙 또는 외곽 번호에 응답경향이 있는 수험생이 추측으로 문항의 답을 맞힐 수 있으므로 시험점수가 학생의 능력을 제대로 반영하지 못하는 결과를 초래할 수 있기 때문이다. 본 논문에서는 2017학년도 대학수학능력시험의 영역별 정답배열에 대하여 Bartels rank test, Wald-Wolfowitz runs test, turning point test, Cox Stuart trend test, difference sign test, Mann-Kendall rank test 등을 실시하여 정답배열이 고르게 분포되었는지 확인하였다. 또한 정답 번호와 배점 사이에 독립성이 지켜지지 않을 경우에도 특정 번호를 정답으로 선호하는 경향을 가진 수험생의 점수는 학생의 능력을 제대로 반영하지 못할 수 있기 때문에 정답의 위치와 배점 사이의 독립성 검정을 추가로 실시하였다.

• Communications for Statistical Applications and Methods
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• 제13권3호
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• pp.537-550
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• 2006

In this paper, we develope three modified empirical distribution function type tests, the modified Cramer-von Mises test, the modified Anderson-Darling test, and the modified Kolmogorov-Smirnov test for the two-parameter exponential distribution with unknown parameters based on multiply Type-II censored samples. For each test, Monte Carlo techniques are used to generate the critical values. The powers of these tests are also investigated under several alternative distributions.

• Communications for Statistical Applications and Methods
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• 제21권4호
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• pp.297-307
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• 2014

We derive a test statistic for the general linear test in the ridge regression model. The exact distribution for the test statistic is too difficult to derive; therefore, we suggest an approximate reference distribution. We use numerical studies to verify that the suggested distribution for the test statistic is appropriate. A asymptotic result for the test statistic also is considered.

• Communications for Statistical Applications and Methods
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• 제16권2호
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• pp.373-381
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• 2009

Evidence of linkage is expressed as a decreasing trend of the squared trait difference of two siblings with increasing identical by descent scores. In contrast to successes in the application of a parametric approach of Haseman-Elston regression, notably low powers are demonstrated in the nonparametric linkage analysis methods for complex traits and diseases with sib-pairs data. We report that the Genehunter nonparametric linkage statistic is biased and furthermore the variance formula that they used is an inflated one, and this is one reason for a low performance. Thus, we propose bias-corrected nonparametric linkage statistics. Simulation studies comparing our proposed nonparametric test statistics versus the existing test statistics suggest that the bias-corrected new nonparametric test statistics are more powerful and attains efficiencies close to that of Haseman-Elston regression.

• 응용통계연구
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• 제9권1호
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• pp.139-152
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• 1996

확률화 블럭 계획법에서 최적 가중치를 이용한 우산형 대립가설에 대한 비모수검정법을 제안하고자 한다. Mack과 Wolfe(1981) 형태의 통계량에 대한 제안된 통계량의 점근상대효율을 최대로 하는 가중치를 구하고, 이러한 가중치를 가지는 제안된 통계량과 Mack과 Wolfe 형태의 통계량 및 선형 순위 통계량의 점근상대 효율을 고려하였다. 소표본에서 모의 실험을 통하여 블럭의 크기가 다른 경우 제안된 통계량의 검정력이 우수함을 보였다.

• Journal of the Korean Data and Information Science Society
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• 제21권2호
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• pp.317-325
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• 2010

In this paper, we develop four modified empirical distribution function (EDF) type tests using approximate maximum likelihood estimators for the half-logistic distribution based on multiply Type-II censored samples. We also propose modified normalize sample Lorenz curve polt and new test statistics. We compare the above test statistics in the sense of the power for various censored samples. We present an example to illustrate this method.