• 제목/요약/키워드: Linear hypothesis

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INFLUENCE ANALYSIS FOR A LINEAR HYPOTHESIS IN MULTIVARIATE REGRESSION MODEL

  • Kim, Myung-Geun
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.479-485
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    • 2003
  • The influence of observations on the Wilks' lambda test of a linear hypothesis in multivariate regression is investigated using the local influence method. The perturbation scheme of case-weights is considered. A numerical example is given to show the effectiveness of the local influence method in identifying the influential observations.

Hypothesis Testing for New Scores in a Linear Model

  • Park, Young-Hun
    • Communications for Statistical Applications and Methods
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    • 제10권3호
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    • pp.1007-1015
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    • 2003
  • In this paper we introduced a new score generating function for the rank dispersion function in a general linear model. Based on the new score function, we derived the null asymptotic theory of the rank-based hypothesis testing in a linear model. In essence we showed that several rank test statistics, which are primarily focused on our new score generating function and new dispersion function, are mainly distribution free and asymptotically converges to a chi-square distribution.

CASB-DELETION DIAGNOSTICS FOR TESTING A LINEAR HYPOTHESIS ABOUT REGRESSION COEFFICIENTS

  • Kim, Myung-Geun
    • Journal of applied mathematics & informatics
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    • 제10권1_2호
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    • pp.111-118
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    • 2002
  • We study the influence of observations on testing a linear hypothesis using single and multiple case-deletions. The change in the F-test statistic due to case-deletions is shown to be completely determined by two externally Studentized residuals. These residuals we used for investigating the outlyingness when there are linear constraints or not. An illustrative example is given. It shows the usefulness of case-deletions.

Time to change from a simple linear model to a complex systems model

  • Hong, Yun-Chul
    • Environmental Analysis Health and Toxicology
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    • 제31권
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    • pp.8.1-8.2
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    • 2016
  • A simple linear model to test the hypothesis based on one-on-one relationship has been used to find the causative factors of diseases. However, we now know that not just one, but many factors from different systems such as chemical exposure, genes, epigenetic changes, and proteins are involved in the pathogenesis of chronic diseases such as diabetes mellitus. So, with availability of modern technologies to understand the intricate nature of relations among complex systems, we need to move forward to the future by taking complex systems model.

Signed Linear Rank Statistics for Autoregressive Processes

  • Kim, Hae-Kyung;Kim, Il-Kyu
    • Communications for Statistical Applications and Methods
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    • 제2권2호
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    • pp.198-212
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    • 1995
  • This study provides a nonparametric procedure for the statistical inference of the parameters in stationary autoregressive processes. A confidence region and a hypothesis testing procedure based on a class of signed linear rank statistics are proposed and the asymptotic distributions of the test statistic both underthe null hypothesis and under a sequence of local alternatives are investigated. Some desirable asymptotic properties including the asymptotic relative efficiency are discussed for various score functions.

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인지능력의 개별차와 한국어 학습자의 주격-목적격 관계절 프로세싱 (Cognitive Individual Differences and L2 Learners' Processing of Korean Subject-Object Relative Clauses)

  • 구재명
    • 예술인문사회 융합 멀티미디어 논문지
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    • 제8권6호
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    • pp.493-503
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    • 2018
  • 본 연구는, 한국어 학습자들의 주격과 목적격 관계절 프로세싱과 관련한 두 가지 가설인 선형거리가설(Linear distance hypothesis)과 구조거리가설(Structural distance hypothesis)을 통해 Keenan과 Comrie(1977)의 명사구 접근 위계(Noun Phrase Accessibility Hierarchy)를 검증한 O'Grady, Lee, 그리고 Choo의 2003년 연구를 바탕으로 설계된 conceptual replication 연구이다. 본 실험에서는 한국에서 공부하는 중국어 모어 학습자들을 대상으로 두 가설을 테스트 하였다. 더불어, 두 가설과 관련, 인지적인 능력(작동기억)의 개별차가 어떤 역할을 하는지에 대해서도 추가적으로 조사하였다. 실험 당시 지방의 모 대학 소재 한국어학당에서 공부하는 중국어 모어 학습자들이 실험집단으로 참여하였다. 각각의 실험 활동을 올바르게 인지하고 참여한 23명의 학습자 데이터에 한하여 통계 분석이 이루어졌다. 통제집단으로는 한국어 모어 대학생 15명이 참여하였다. 참가자들은 두 가지 실험 활동을 수행하였다: O'Grady외의 연구에서 사용된 동일한 관계절들이 포함된 그림 선택 활동과 작동기억 측정을 위해 디자인된 활동(Operation Span Task). 본 실험의 결과는 O'Grady외의 연구 결과와 다소 차이를 보였다. 즉, 주격보다는 목적격 관계절에 대한 학생들의 이해도가 상대적으로 현저하게 높게 나타났다. 세부적인 분석에 따르면, 이는 선형거리가설에 따른 현상이라기보다는, 상용절 전략을 사용한 프로세싱 결과로 해석하는 것이 더 적절해 보인다. 작동기억의 개별차와 관계절 프로세싱이 유의미한 상관관계가 없는 것으로 나타난 것도 이러한 과도한 상용절 전략의 결과로 볼 수 있다.

Bayesian Hypothesis Testing in Multivariate Growth Curve Model.

  • Kim, Hea-Jung;Lee, Seung-Joo
    • Journal of the Korean Statistical Society
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    • 제25권1호
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    • pp.81-94
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    • 1996
  • This paper suggests a new criterion for testing the general linear hypothesis about coefficients in multivariate growth curve model. It is developed from a Bayesian point of view using the highest posterior density region methodology. Likelihood ratio test criterion(LRTC) by Khatri(1966) results as an approximate special case. It is shown that under the simple case of vague prior distribution for the multivariate normal parameters a LRTC-like criterion results; but the degrees of freedom are lower, so the suggested test criterion yields more conservative test than is warranted by the classical LRTC, a result analogous to that of Berger and Sellke(1987). Moreover, more general(non-vague) prior distributions will generate a richer class of tests than were previously available.

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Normal Mixture Model with General Linear Regressive Restriction: Applied to Microarray Gene Clustering

  • Kim, Seung-Gu
    • Communications for Statistical Applications and Methods
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    • 제14권1호
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    • pp.205-213
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    • 2007
  • In this paper, the normal mixture model subjected to general linear restriction for component-means based on linear regression is proposed, and its fitting method by EM algorithm and Lagrange multiplier is provided. This model is applied to gene clustering of microarray expression data, which demonstrates it has very good performances for real data set. This model also allows to obtain the clusters that an analyst wants to find out in the fashion that the hypothesis for component-means is represented by the design matrices and the linear restriction matrices.

Testing Homogeneity for Random Effects in Linear Mixed Model

  • Ahn, Chul H.
    • Communications for Statistical Applications and Methods
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    • 제7권2호
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    • pp.403-414
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    • 2000
  • A diagnostic tool for testing homogeneity for random effects is proposed in unbalanced linear mixed model based on score statistic. The finite sample behavior of the test statistic is examined using Monte Carlo experiments examine the chi-square approximation of the test statistic under the null hypothesis.

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Testing Homogeneity of Errors in Unbalanced Random Effects Linear Model

  • Ahn, Chul H.
    • Communications for Statistical Applications and Methods
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    • 제8권3호
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    • pp.603-613
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    • 2001
  • A test based on score statistic is derived for detecting homoscedasticity of errors in unbalanced random effects linear model. A small simulation study is performed to investigate the finite sample behaviour of the test statistic which is known to have an asymptotic chi-square distribution under the null hypothesis.

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