• 제목/요약/키워드: Linear hypothesis

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A Study on Prediction of Linear Relations Between Variables According to Working Characteristics Using Correlation Analysis

  • Kim, Seung Jae
    • International Journal of Internet, Broadcasting and Communication
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    • 제14권4호
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    • pp.228-239
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    • 2022
  • Many countries around the world using ICT technologies have various technologies to keep pace with the 4th industrial revolution, and various algorithms and systems have been developed accordingly. Among them, many industries and researchers are investing in unmanned automation systems based on AI. At the time when new technology development and algorithms are developed, decision-making by big data analysis applied to AI systems must be equipped with more sophistication. We apply, Pearson's correlation analysis is applied to six independent variables to find out the job satisfaction that office workers feel according to their job characteristics. First, a correlation coefficient is obtained to find out the degree of correlation for each variable. Second, the presence or absence of correlation for each data is verified through hypothesis testing. Third, after visualization processing using the size of the correlation coefficient, the degree of correlation between data is investigated. Fourth, the degree of correlation between variables will be verified based on the correlation coefficient obtained through the experiment and the results of the hypothesis test

감마 일반화 선형 모형에서의 가능도비 검정과 F-검정 비교연구 (Comparing the performance of likelihood ratio test and F-test for gamma generalized linear models)

  • 조성일;한정섭;이우주
    • 응용통계연구
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    • 제31권4호
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    • pp.475-484
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    • 2018
  • 감마 일반화 선형모형은 음이 아니며 치우침이 있는 반응변수에 유용한 모형으로 알려져 있다. 그러나 포아송 분포 또는 이항 분포에 기반한 일반화 선형모형에 비해 적은 관심을 받아왔다. 특히, 회귀계수의 유의성 검정에 대해서는 연구가 면밀히 되어 있지 않다. 본 논문에서는 감마 일반화 선형 모형의 검정에 대해 다양한 통계량들을 알아보고 수치 연구를 통해 그들의 성능을 비교한다. 수치 실험의 결과 부분 이탈도 검정 방법의 문제점이 나타났으며, 가능도비 검정 방법과 F-검정 방법이 좋은 성능을 보임을 확인하였다.

테니스 포핸드 스트로크 동안 스탠스 조건에 따른 3차원 운동학적 분석 (3-D Kinematic Analysis According to Stance Patterns During Forehand Stroke in Tennis)

  • 최지영
    • 한국운동역학회지
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    • 제15권4호
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    • pp.105-115
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    • 2005
  • Recently among several tennis techniques forehand stroke has been greatly changed in the aspect of spin, grip and stance. The most fundamental factor among the three factors is the stance which consists of open, square and closed stance. The purpose of this study was to investigate the relations between the segments of the body, the three dimensional anatomical angle according to open, close, and square stance patterns during forehand stroke in tennis. For the movement analysis three dimensional cinematographical method(APAS) was used and for the calculation of the kinematic variables a self developed program was used with the LabVIEW 6.1 graphical programming(Johnson, 1999) program. By using Eular's equations the three dimensional anatomical Cardan angles of the joint and racket head angle were defined. In conclusion, the first hypothesis, "In three dimensional maximum linear velocity of racket head would be significant difference among the stance patterns during forehand stroke in tennis" was rejected. The second hypothesis, "In three dimensional anatomical angular displacement of trunk would be significant difference among the stance patterns during forehand stroke in tennis" was rejected and the result showed that the internal-external rotation showed most important role among the three dimensional anatomical angular displacement of trunk The third hypothesis, "In three dimensional anatomical angular displacement of upperlimb would be significant difference among the stance patterns during forehand stroke in tennis" was rejected and the result showed that The three dimensional anatomical angular displacement of shoulder joint showed most important role in forehand stroke. Flexion-extension and internal-external rotation the open stance showed the largest angular displacement and is follwed by square stance and closed stance. The fourth hypothesis, "In three dimensional anatomical angular velocity of upperlimb would be significant difference among the stance patterns during forehand stroke in tennis" was rejected and the result showed that X-axis angular velocity and Z-axis angular velocity the square stance showed the largest angular velocity of the trunk and X-axis angular velocity and Y-axis angular velocity the closed stance showed the largest angular velocity of the shoulder joint.

Rank transform F statistic in a 2$\times$2 factorial design

  • Park, Young-Hun
    • Journal of the Korean Statistical Society
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    • 제23권1호
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    • pp.103-114
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    • 1994
  • For a $2 \times 2$ factorial design without the restriction of a linear model or without regard to error terms having homoscedasticity, under the null hypothesis of no interaction we can have the rank transformed F statistic for interaction converge in distribution to a chi-squared random variable with one degree of random if and only if there is only main effect.

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이웃 정보에 기초한 반모델을 이용한 발화 검증 (Utterance Verification Using Anti-models Based on Neighborhood Information)

  • 윤영선
    • 대한음성학회지:말소리
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    • 제67호
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    • pp.79-102
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    • 2008
  • In this paper, we investigate the relation between Bayes factor and likelihood ratio test (LRT) approaches and apply the neighborhood information of Bayes factor to building an alternate hypothesis model of the LRT system. To consider the neighborhood approaches, we contemplate a distance measure between models and algorithms to be applied. We also evaluate several methods to improve performance of utterance verification using neighborhood information. Among these methods, the system which adopts anti-models built by collecting mixtures of neighborhood models obtains maximum error rate reduction of 17% compared to the baseline, linear and weighted combination of neighborhood models.

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가설검정과 신뢰구간의 재현성 (Reproducibility of Hypothesis Testing and Confidence Interval)

  • 허명회
    • 응용통계연구
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    • 제27권4호
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    • pp.645-653
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    • 2014
  • p-값은 관측 표본과 관측 결과보다 심하게 대안가설의 방향으로 영가설을 이탈하는 표본들이 영가설 하에서 갖는 확률이다. p-값이 일정 ${\alpha}$(= 0:05)보다 작게 나타나면 연구자는 대안가설이 지지된 것으로 본다. 그런 경우라고 하더라도 그의 가설이 향후 연구에서 번복될 수 있는데 그 이유는 p-값이 표본에 따라 변동하는 통계량이기 때문이다. Boos와 Stefanski (2011)는 붓스트랩 방법으로 p-값의 예측분포를 구할 수 있음을 보였다. 그들은 그 분포의 상위 10-20% 분위수가 ${\alpha}$보다 작은가를 확인할 필요가 있음을 강조한다. 만약 그렇지 않은 경우에는 "지지"된 가설의 재현성이 문제될 수 있기 때문이다. 가설검정에서 일정 수준의 재현율을 확보하기 위해서는 표본의 증대가 요구된다. 이 연구는 k배 확대 붓스트랩 표본추출(boosted bootstrap sampling)로써 필요한 표본크기를 계산할 수 있음을 두 표본의 비교와 다중선형회귀의 수치 예에서 보인다. k 값을 정하기 위해서는 몇 차례 시행착오를 해야 하지만 계산적 부담은 크지 않다. 95% 신뢰구간은 독립적인 표본들로부터 같은 방식으로 산출되는 구간이 미지의 모수를 포함할 확률이 95%가 되도록 설정된다. 이 연구는 한 관측표본으로부터 얻어진 95% 신뢰구간 내 개별 점이 미래 연구의 신뢰구간에도 포함될 것인지 그 재현성을 붓스트랩 재표본들에서 평가한다. 이 연구는 개별 점에서 산출한 신뢰구간 재현율을 그래프로 보인다.

The Sequential Testing of Multiple Outliers in Linear Regression

  • Park, Jinpyo;Park, Heechang
    • Communications for Statistical Applications and Methods
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    • 제8권2호
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    • pp.337-346
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    • 2001
  • In this paper we consider the problem of identifying and testing the outliers in linear regression. first we consider the problem for testing the null hypothesis of no outliers. The test based on the ratio of two scale estimates is proposed. We show the asymptotic distribution of the test statistic by Monte Carlo simulation and investigate its properties. Next we consider the problem of identifying the outliers. A forward sequential procedure based on the suggested test is proposed and shown to perform fairly well. The forward sequential procedure is unaffected by masking and swamping effects because the test statistic is based on robust estimate.

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Multivariate Nonparametric Tests for Grouped and Right Censored Data

  • Park Hyo-Il;Na Jong-Hwa;Hong Seungman
    • International Journal of Reliability and Applications
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    • 제6권1호
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    • pp.53-64
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    • 2005
  • In this paper, we propose a nonparametric test procedure for the multivariate, grouped and right censored data for two sample problem. For the construction of the test statistic, we use the linear rank statistics for each component and apply the permutation principle for obtaining the null distribution. For the large sample case, the asymptotic distribution is derived under the null hypothesis with the additional assumption that two censoring distributions are also equal. Finally, we illustrate our procedure with an example and discuss some concluding remarks. In appendices, we derive the expression of the covariance matrix and prove the asymptotic distribution.

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The Scale Ratio Testing of Multiple Outliers in Linear Regression

  • Park, Jin-Pyo
    • Journal of the Korean Data and Information Science Society
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    • 제14권3호
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    • pp.673-685
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    • 2003
  • In this paper we consider the problem of identifying and testing outliers in linear regression. First we consider the problem for testing the null hypothesis of no outliers. A test based on the ratio of two residual scale estimates is proposed. We show the asymptotic distribution of the test statistics by Monte Carlo simulation and investigate its properties. Next we consider the problem of identifying the outliers. A forward sequential procedure using the suggested test is proposed and shown to perform fairly well. Unlike other forward procedures, the present one is unaffected by masking and swamping effects because the test statistic is based on robust scale estimate.

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The Forward Sequential Procedure for the Identifying Multiple Outliers in Linear Regression

  • Park, Jin-Pyo
    • Journal of the Korean Data and Information Science Society
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    • 제16권4호
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    • pp.1053-1066
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    • 2005
  • In this paper we consider the problem of identifying and testing outliers in linear regression. First we consider the use of the so-called scale ratio tests for testing the null hypothesis of no outliers. This test is based on the ratio of two residual scale estimates. We show the asymptotic distribution of the test statistics and investigate its properties. Next we consider the problem of identifying the outliers. A forward sequential procedure using the suggested test is proposed. The new method is compared with classical procedure in the real data example. Unlike other forward procedures, the present one is unaffected by masking and swamping effects because the test statistic is based on robust scale estimate.

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