• 제목/요약/키워드: chi test

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A Test for Multivariate Normality Focused on Elliptical Symmetry Using Mahalanobis Distances

  • 박철용
    • 한국데이터정보과학회:학술대회논문집
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    • 한국데이터정보과학회 2006년도 PROCEEDINGS OF JOINT CONFERENCEOF KDISS AND KDAS
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    • pp.203-212
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    • 2006
  • A chi-squared test of multivariate normality is suggested which is mainly focused on detecting deviations from elliptical symmetry. This test uses Mahalanobis distances of observations to have some power for deviations from multivariate normality. We derive the limiting distribution of the test statistic by a conditional limit theorem. A simulation study is conducted to study the accuracy of the limiting distribution in finite samples. Finally, we compare the power of our method with those of other popular tests of multivariate normality under two non-normal distributions.

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모집단 부분정보가 주어진 상황에서의 분할표 독립성 검정 (Chi-Squared Test of Independence in Case that Two Marginal Distributions are Given Exactly)

  • 이광진
    • 응용통계연구
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    • 제17권1호
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    • pp.89-103
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    • 2004
  • 2차원 분할표 형태의 자료에 대해 두 범주형 변수들간의 독립성을 검정함에 있어, 만일 두 변수 각각의 모분포가 이미 완전히 알려진 경우라면 이 알려진 정보를 충족할 수 있도록 분할표 자료를 보정한 후 보정된 분할표 자료에 대해 전통적인 카이제곱 검정법을 적용하는 것이 더 타당함을 논증한다 그리고 이에 근거한 제약상황 카이제곱 독립성 검정법을 유도하고 모의실험을 통해 전통적인 무보정 카이제곱 검정법과 비교한다.

심뇌혈관질환 고위험군 중 치료연속자와 치료불연속자 간의 특성 비교 (The Comparison of Variables between Therapy Continuity Group and Therapy Discontinuity Group of Patients With Hypertension and Diabetes in Daegu Initiative)

  • 박정숙;권영숙;오윤정
    • 보건교육건강증진학회지
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    • 제26권2호
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    • pp.135-148
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    • 2009
  • Objectives: The purpose of this study is to identify the characteristics between therapy continuity group and therapy discontinuity group and to develop management program for Korean patients with hypertension and diabetes. Methods: The subject of the study were 109 therapy continuity and 66 therapy discontinuity of Korea hypertension diabetes Daegu initiative. The data collection was performed from December 5 to December 30, 2008. Analysis of data was done by using descriptive statistics, chi-square test, t-test and ANCOVA with SPSS program. Results: 1) The groups were significantly correlated with such variables systolic BP(F=4.518, p=0.035) and diastolic BP(F=17.793, p=0.000). 2) The groups with hypertensive were significantly correlated with such variables perceived susceptibility of disease($\chi^2$=25.053, p=0.000), perceived barrier of health behavior($\chi^2$=12.584, p=0.006), drinking($\chi^2$=27.545, p=0.000), diet($\chi^2$=8.645, p=0.013), regular taking medicine($\chi^2$=92.415, p=0.000) and regular measurement of BP($\chi^2$=6.045, p=0.049). 3) The groups with diabetic were significantly correlated with such variables perceived seriousness of disease($\chi^2$=6.128, p=0.047), perceived susceptibility of disease($\chi^2$=8.079, p=0.018), health knowledge and attitude(F=8.418, p=0.006), drinking($\chi^2$=6.276, p=0.043), diet($\chi^2$=7.275, p=0.026), regular taking medicine($\chi^2$=33.083, p=0.000) and regular measurement of glucose($\chi^2$=7.233, p=0.027). Conclusion: The above findings indicate that it is necessary to develop and apply special management programs according to the therapy discontinuity group.

비중심카이제곱분포 함수에 대한 효율적인 알고리즘 (An Effective Algorithm for the Noncentral Chi-Squared Distribution Function)

  • 구선희
    • 정보처리학회논문지A
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    • 제9A권2호
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    • pp.267-270
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    • 2002
  • 비중심 $\chi^2$분포의 누적분포 함수의 계산은 $\chi^2$검정에서 검정력 계산에 요구된다. 본 논문서는 중심 $\chi^2$분포 함수를 통하여 비중심 $\chi^2$분포 함수의 계산을 구하는 알고리즘을 제시하고 있으며 기존의 접근 방법에 의한 계산 결과와 비교하였다.

타이치 운동프로그램이 정신분열병 환자의 신체질량지수와 양성 및 음성 정신 증상에 미치는 효과 (Effects of Group Tai Chi Exercise Prograam on Body Mass Index(BMI), Positive and Negative Psychiatric Symptoms in Patient with Schizophrenia)

  • 권윤희;곽오계
    • 재활간호학회지
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    • 제14권2호
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    • pp.129-135
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    • 2011
  • Purpose: This study was done to examine the effects of Tai Chi exercise program on BMI, positive and negative psychiatric symptoms in patient with schizophrenia. Methods: The participants were patient with schizophrenia in S psychiatric hospital in D city. Twenty five patients were assigned to experimental group, and 26 patients were assigned to control group. Data were collected from May 9, to July 8, 2011. The Tai Chi exercise program was conducted with a duration of 60 minutes, 2 times a week for 8 weeks (a total 8 times). Measures were BMI, positive and negative psychiatric symptoms. Data were analyzed using descriptive statistics, chi-square test and t-test with SPSS/WIN 19.0 version. Result: The experimental group received Tai Chi exercise program had a significant changes in BMI, positive and negative psychiatric symptoms. Conclusion: The results of this study indicate that Tai Chi exercise program is an effective intervention program to improve the BMI, positive and negative psychiatric symptoms of patients with schizophrenia.

An Adaptive Test for Ordered Interqartile Ranges among Several Distributions

  • Park, Chul-Gyu
    • Journal of the Korean Statistical Society
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    • 제30권1호
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    • pp.63-76
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    • 2001
  • An adaptive estimation and testing method is proposed for comparing dispersions among several ordered groups. Based upon the large sampling theory for nonparametric quartile estimators, we derive the order restricted estimators and construct a simple test statistic. This test statistic has a mixture of several chi-square distributions as its asymptotic null distribution. The proposed test is illustratively applied to survival time data for the patients with carcinoma of the oropharynx.

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Kendall의 Tau에 의한 회귀직선의 평행성에 관한 비모수 검정 (A Nonparametric Test for the Parallelism of Regression Lines Based on Kendall's Tau)

  • Song, Moon-Sup
    • Journal of the Korean Statistical Society
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    • 제7권1호
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    • pp.17-26
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    • 1978
  • For testing $\beta_i=\beta, i=1,...,k$, in the regression model $Y_{ij} = \alpha_i + \beta_ix_{ij} + e_{ij}, j=1,...,n_i$, a simple and robust test based on Kendall's tau is proposed. Its asymptotic distribution is proved to be chi-square under the null hypthesis and noncentral chi-square under an appropriate sequence of alternatives. For the optimal designs, the asymptotic relative efficiency of the proposed procedure with respect to the least squares procedure is the same as that of the Wilcoxon test with respect to the t-test.

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A Test of Multivariate Normality Oriented for Testing Elliptical Symmetry

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • 제17권1호
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    • pp.221-231
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    • 2006
  • A chi-squared test of multivariate normality is suggested which is oriented for detecting deviations from elliptical symmetry. We derive the limiting distribution of the test statistic via a central limit theorem on empirical processes. A simulation study is conducted to study the accuracy of the limiting distribution in finite samples. Finally, we compare the power of our method with those of other popular tests of multivariate normality under a non-normal distribution.

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Notes on the Goodness-of-Fit Tests for the Ordinal Response Model

  • Jeong, Kwang-Mo;Lee, Hyun-Yung
    • 응용통계연구
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    • 제23권6호
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    • pp.1057-1065
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    • 2010
  • In this paper we discuss some cautionary notes in using the Pearson chi-squared test statistic for the goodness-of-fit of the ordinal response model. If a model includes continuous type explanatory variables, the resulting table from the t of a model is not a regular one in the sense that the cell boundaries are not fixed but randomly determined by some other criteria. The chi-squared statistic from this kind of table does not have a limiting chi-square distribution in general and we need to be very cautious of the use of a chi-squared type goodness-of-t test. We also study the limiting distribution of the chi-squared type statistic for testing the goodness-of-t of cumulative logit models with ordinal responses. The regularity conditions necessary to the limiting distribution will be reformulated in the framework of the cumulative logit model by modifying those of Moore and Spruill (1975). Due to the complex limiting distribution, a parametric bootstrap testing procedure is a good alternative and we explained the suggested method through a practical example of an ordinal response dataset.

류마티스 관절염 환자에게 적용한 타이치 운동의 효과 (The Effect of Tai Chi Movement in Patients with Rheumatoid Arthritis)

  • 이강이;정옥연
    • 대한간호학회지
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    • 제36권2호
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    • pp.278-285
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    • 2006
  • Purpose: This study was performed to verify the effect of Tai Chi exercise on patients with rheumatoid arthritis particularly their level of pain, fatigue, sense of balance and daily lift performance(ADL). Method: It employed a non-equivalent control group pre- and post-test design. The research instruments used in this study were pain, fatigue, sense of balance and ADL. Thirty-two patients in the experimental group carried out 50 minutes of Tai Chi exercise for 12 weeks, and 29 patients in the control group did not. Before and after the experiment, both groups were tested for pain, fatigue, sense of balance and ADL. Collected data were processed using the SPSS/WIN 10.0 program analyzed by the frequency, percentage, $x^2-test$, and t-test. Results: Pain and fatigue significantly decreased in the experimental group. However the improvement in ADL of the rheumatoid arthritis patients was not statistically significant but their sense of balance was enhanced significantly. Conclusion: Tai Chi exercise is an effective nursing intervention that can be used for rheumatoid arthritis patients.