• Title/Summary/Keyword: ${\chi}^2$-test

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A Note on the Simple Chi-Squared Test of Multivariate Normality

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.423-430
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    • 2004
  • We provide the exact form of a Rao-Robson version of the chi-squared test of multivariate normality suggested by Park(2001). This test is easy to apply in practice since it is easily computed and has a limiting chi-squared distribution under multivariate normality. A self-contained formal argument is provided that it has the limiting chi-squared distribution. A simulation study is provided to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study in a nonnormal distribution is conducted in order to compare the power of our test with those of other popular normality tests.

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GENERALIZED MINIMUM $x^2$ TEST FOR THE EXTREME VALUES

  • Lee, Chun-Jin
    • Journal of applied mathematics & informatics
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    • v.1 no.1
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    • pp.43-48
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    • 1994
  • There are some difficulties in applying the Pearson's Chi-Square Test for the continuous distribution. The problems include how to form class intervals for the test of fit how to employ in the test when the estimators of parameters are obtained from the ungrouped sample so on. In order to solve these problems we use the generalized minimum Chi-Square technique which is a test free of the complications associated with the Peason's Chi-Square test. This paper show how to apply the goodness of fit tests based on generalized minimum Chi-Square technique to the extreme values.

A Scene Change Detection Technique using the Weighted $\chi^2$-test and the Automated Threshold-Decision Algorithm (변형된 $\chi^2$- 테스트와 자동 임계치-결정 알고리즘을 이용한 장면전환 검출 기법)

  • Ko, Kyong-Cheol;Rhee, Yang-Won
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.42 no.4 s.304
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    • pp.51-58
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    • 2005
  • This paper proposes a robust scene change detection technique that uses the weighted chi-square test and the automated threshold-decision algorithms. The weighted chi-square test can subdivide the difference values of individual color channels by calculating the color intensities according to NTSC standard, and it can detect the scene change by joining the weighted color intensities to the predefined chi-square test which emphasize the comparative color difference values. The automated threshold-decision at algorithm uses the difference values of frame-to-frame that was obtained by the weighted chi-square test. At first, The Average of total difference values is calculated and then, another average value is calculated using the previous average value from the difference values, finally the most appropriate mid-average value is searched and considered the threshold value. Experimental results show that the proposed algorithms are effective and outperform the previous approaches.

Effect of Tai Chi Exercise Program on Anxiety, Powerlessness, and Self-esteem in Elderly Women (타이치운동이 여성노인의 불안, 무력감 및 자아존중감에 미치는 효과)

  • Park, Young-Ju;Kim, Mi-Sun
    • Journal of muscle and joint health
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    • v.18 no.2
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    • pp.147-157
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    • 2011
  • Purpose: The purpose of this study was to determine the effect of Tai Chi exercise program (Sun style 12 forms) on anxiety, powerlessness, self-esteem in community-dwelling elderly women. Methods: With a quasi-experimental design, a nonequivalent control group pretest-post test was used. Elderly women who agreed to participate in the study were assigned into an experimental group (n=23), or a control group (n=23). The experimental group participated in Tai Chi exercise program for 50 minutes per session, 2 times a week for 11 weeks. Tai Chi exercise program consisted of 10 minutes for warm-up, 35 minutes for main session, and 5 minutes for cooling down exercises. Anxiety, powerlessness, and self-esteem were measured with questionnaires to evaluate the effect of Tai Chi exercise program. The data were analyzed by using Chi-square test, Fisher's exact test, and Mann-Whitney test by a SPSS WIN 12.0 program. Results: The experimental group showed significant improvement for self-esteem (z=-3.130, p=.002), powerlessness(z=-3.267, p=.001), and anxiety (z=-2.932, p=.003) when compared to control group, Conclusions: Tai chi exercise program may be an effective nursing intervention to improve self-esteem and to reduce powerlessness and anxiety in community-dwelling elderly women.

A Simple Chi-Squared Test of Spherical Symmetry

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.227-236
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    • 2005
  • A chi-squared test of spherical symmetry is suggested. This test is easy to apply in practice since it is easy to compute and has a limiting chi-squared distribution under spherical symmetry. The result of Park(1998) can be used to show that it has the limiting chi-squared distribution. A simulation study is conducted to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study that compares the power of our test with those of other tests of spherical symmetry is performed.

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The Chi-squared Test of Independence for a Multi-way Contingency Table wish All Margins Fixed

  • Park, Cheolyong
    • Journal of the Korean Statistical Society
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    • v.27 no.2
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    • pp.197-203
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    • 1998
  • To test the hypothesis of complete or total independence for a multi-way contingency table, the Pearson chi-squared test statistic is usually employed under Poisson or multinomial models. It is well known that, under the hypothesis, this statistic follows an asymptotic chi-squared distribution. We consider the case where all marginal sums of the contingency table are fixed. Using conditional limit theorems, we show that the chi-squared test statistic has the same limiting distribution for this case.

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On the Robustness of Chi-square Test Procedure for a Compounded Multivariate Normal Mean

  • Kim, Hea-Jung
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.330-335
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    • 1995
  • The rebustness of one sample Chi-square test for multivariate normal mean vector is investigated when the multivariate normal population is mixed with another multivariate normal population with differing in the mean vector. Explicit expressions for the level of significance and power of the test are derived. Some numerical results indicate that the Chi-square test procedure is quite robust against slight mixtures of multivariate normal populations differing in location parameters.

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A Study on Effects of Tai-Chi Exercise Program on Joint Flexibility for Osteoarthritis Patients (태극권이 퇴행성관절염 환자의 관절 유연성에 미치는 효과)

  • Baek, Myung-Wha
    • The Korean Journal of Rehabilitation Nursing
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    • v.7 no.2
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    • pp.159-168
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    • 2004
  • Purpose: The purpose of this study was to examine effect of Tai-Chi exercise program on joint flexibility for osteoarthritis patients. To evaluate the effects, quasi-experimental study was used for pre and post test with a nonequivalent control group. Method: Fifty-tow subjects participated in the experiment(twenty-seven for experimental group and twenty-five for control group) and they were from two different senior citizen centers in J city. The experiment period was from April 2002 through August 2002. The experiment group took part in Tai-Chi exercise program for eighteen weeks(three times a week for four weeks and five times a week for fourteen week). The exercise was performed for 50 minutes at every time (15 minutes for warm-up, 30 minutes for Tai-Chi exercise, and 5 minutes for ending). In order to pursue study purpose, the SPSS/WIN 8.0 program was chosen for the statistical analysis; ANCOVA was employed in examining test hypothesis; t-test and $x^2$-test were used to examine homogeneity between experimental and control group. Result: The study results were as follows :Score of vertebral joint flexibility increased significantly after of Tai-Chi exercise program. Score of wrist joint extension increased significantly after of Tai-Chi exercise program. Score of wrist joint flexion increased significantly after of Tai-Chi exercise program. Score of elbow joint extension increased significantly after of Tai-Chi exercise program. Score of elbow joint flexion increased significantly after of Tai-Chi exercise program. There was a slight increase of knee joint extension in the Tai-Chi exercise group compared to control group, but without statistical significance. Score of knee joint flexion increased significantly after of Tai-Chi exercise program. Score of ankle plantar flexion increased significantly after of Tai-Chi exercise program. Score of ankle dorsiflexion increased significantly after of Tai-Chi exercise program. Conclusion: As shown in the results, Tai-Chi exercise program can be effective nursing intervention for osteoarthritis patient to improve joint flexibility.

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Effect of Tai Chi Exercise on Loneliness, Sleep Pattern, and Instrumental Activities of Daily Living in Elderly Women (타이치 운동이 노인의 외로움, 수면양상 및 일상생활수행능력에 미치는 효과)

  • Park, Young-Ju;Park, In-Hyae
    • Journal of muscle and joint health
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    • v.17 no.2
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    • pp.151-161
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    • 2010
  • Purpose: The purpose of this study was to identify the effect of Tai Chi exercise on loneliness, sleep pattern, and instrumental activities of daily living in elderly women. Methods: A quasi-experimental design, a nonequivalent control group pretest-posttest was used. Elderly women who agreed to participated in the study were assigned into an experimental group (n=20) or a control group (n=20). The experimental group participated in Tai Chi exercise program (Sun-style 12 forms) for 50 minutes per session, 2 times a week for 8 weeks. Tai Chi exercise program consisted of 10 minutes for warm-up, 35 minutes for main session, and 5 minutes for cooling down. Study outcomes were measured through study questionnaires. Data were analyzed using Chi-square test, t-test and Mann-Whitney test by SPSS WIN 14.0 program. Results: Compared with the control group, the experimental group showed significant improvement in loneliness (t=-2.733, p=.009), sleep pattern (t=2.552, p=.015), and instrumental activities of daily living (z=-2.171, p=.030). Conclusion: Tai Chi exercise program may be an effective nursing intervention for elderly women.

Automatic Threshold-decision Algorithm using the Average and Standard Deviation (평균과 표준편차를 이용한 자동 임계치-결정 알고리즘)

  • Ko, Kyong-Cheol;Rhee, Yang-Won
    • The Journal of Korean Association of Computer Education
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    • v.8 no.6
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    • pp.103-111
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    • 2005
  • This paper presents a novel automated threshold-decision algorithm that uses the mean and standard-deviation values obtained from the difference values of consecutive frames. At first, the calculation of difference values is obtained by the weighted ${\chi}^2$-test algorithm which was modified by joining color histogram to ${\chi}^2$-test algorithm. The weighted ${\chi}^2$-test algorithm can subdivide the difference values by imposing weights according to NTSC standard. In the first step, the proposed automatic threshold-decision algorithm calculates the mean and standard-deviation value from the total difference values, and then subtracts the mean value from the each difference values. In the next step, the same process is performed on the remained difference values, and lastly, the threshold is detected from the mean when the standard deviation has a maximum value. The proposed method is tested on various video sources and, in the experimental results, it is shown that the proposed method efficiently estimates the thresholds and reliably detects scene changes.

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