• 제목/요약/키워드: statistical correlation

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Effect of Outliers on Sample Correlation Coefficient

  • Kim, Chooongrak;Park, Byeong U.;Park, Kook L.;Whasoo Bae
    • Journal of the Korean Statistical Society
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    • 제29권3호
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    • pp.285-294
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    • 2000
  • In analyzing bivariate date the sample correlation coefficient is often used, and it is quite sensitive to one or few isolated cases. In this article we derive a formula for the effect of $textsc{k}$ observations on the samples correlation coefficient by the deletion method. To give a reference value for the isolated cases the asymptotic distribution fo the formula is derived. Also, we give some interpretations on several types of isolated cases and an example based on a real data set.

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가변스트레치성형 설계변수와 성형오차의 상관관계에 대한 통계적 연구 (Statistical Study on Correlation Between Design Variable and Shape Error in Flexible Stretch Forming)

  • 서영호;허성찬;강범수;김정
    • 소성∙가공
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    • 제20권2호
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    • pp.124-131
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    • 2011
  • A flexible stretch forming process is useful for small quantity batch production because various shape changes of the flexible die can be achieved conveniently. In this study, the design variables, namely, the punch size, curvature radius and elastic pad thickness, were quantitatively evaluated to understand their influence on sheet formability using statistical methods such as the correlation and regression analyses. Forming simulations were designed and conducted by a three-way factorial design to obtain numerical values of a shape error. Linear relationships between the design variables and the shape error resulted from the Pearson correlation analysis. Subsequently, a regression analysis was also conducted between the design variables and the shape error. A regression equation was derived and used in the flexible die design stage to estimate the shape error.

Recovery Levels of Clustering Algorithms Using Different Similarity Measures for Functional Data

  • Chae, Seong San;Kim, Chansoo;Warde, William D.
    • Communications for Statistical Applications and Methods
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    • 제11권2호
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    • pp.369-380
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    • 2004
  • Clustering algorithms with different similarity measures are commonly used to find an optimal clustering or close to original clustering. The recovery level of using Euclidean distance and distances transformed from correlation coefficients is evaluated and compared using Rand's (1971) C statistic. The C values present how the resultant clustering is close to the original clustering. In simulation study, the recovery level is improved by applying the correlation coefficients between objects. Using the data set from Spellman et al. (1998), the recovery levels with different similarity measures are also presented. In general, the recovery level of true clusters was increased by using the correlation coefficients.

치의학 연구에서 반복 계측한 자료의 일치도 평가방법 (Statistical methods for accessing agreement between repeated measurements in dental research)

  • 김기열
    • 대한치과의사협회지
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    • 제54권11호
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    • pp.880-896
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    • 2016
  • The comparison of the repeated measurements is often needed to see whether they agree sufficiently, when a measurement is repeated under identical conditions by different raters. Such investigations are often analyzed inappropriately, by using correlation coefficient. The purpose of this study is to introduce statistical methods for accessing the agreement of the repeated measurements, which include Bland-Altman plot, intra class correlation, Passing-Bablok regression and Cohen's kappa coefficient, and to show how to execute them using examples.

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Influence Analysis on a Test Statistic in Canonical Correlation Analysis

  • Jung, Kang-Mo
    • Communications for Statistical Applications and Methods
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    • 제8권2호
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    • pp.347-355
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    • 2001
  • We propose a method for detecting influential observations that have a large influence on the likelihood ratio test statistic for the two sets of variables are uncorrelated with one another. For this purpose we derive a local influence measure for the likelihood ratio test statistic under certain perturbation scheme. An illustrative example is given to show the effectiveness of the proposed method on the identification of influential observations.

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Francis Gallon in the History of Statistics

  • Jo, Jae-Keun
    • Communications for Statistical Applications and Methods
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    • 제13권3호
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    • pp.479-490
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    • 2006
  • Francis Gallon (1822-1911) introduced the term 'regression' and 'correlation' in the study on human inheritance of the stature from parents to their children. In almost every statistics textbook, superficial attentions have been given to him just as the inventor of the term 'regression'. Rereading his books and papers, we investigated problems he had tried to solve and the methods he had used to solve the problems. In addition, we tried to find the motivation that had led Gallon to take attention to the variation rather than the central tendency of observational data that had fascinated his forerunner Adloph Quetelet.

EWMA Control Charts to Monitor Correlation Coefficients

  • Chang, Duk-Joon;Cho, Gyo-Young;Lee, Jae-Man
    • Communications for Statistical Applications and Methods
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    • 제6권2호
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    • pp.413-422
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    • 1999
  • Multivariate EWMA control charts to simultaneously monitor correlation coefficients of correlated quality characteristics under multivariate normal process are proposed. Performances of the proposed charts are measured in terms of average run length(ARL). Numerical results show that smalle values for smoothing constant with accumulate-combine approach are preferred for detecting smalle shifts.

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On Second Order Probability Matching Criterion in the One-Way Random Effect Model

  • Kim, Dal Ho;Kang, Sang Gil;Lee, Woo Dong
    • Communications for Statistical Applications and Methods
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    • 제8권1호
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    • pp.29-37
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    • 2001
  • In this paper, we consider the second order probability matching criterion for the ratio of the variance components under the one-way random effect model. It turns out that among all of the reference priors given in Ye(1994), the only one reference prior satisfies the second order matching criterion. Similar results are also obtained for the intraclass correlation as well.

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Group Ordering Reference Priors for the Difference of Intraclass Correlation Coefficients in Familial Data

  • Jin, Bong-Soo;Chang, In-Hong;Kim, Byung-Hwee
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2005년도 춘계 학술발표회 논문집
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    • pp.53-57
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    • 2005
  • In this paper, we develp the group ordering referecne priors for the differecne of the intraclass correlation coefficient in familial data. Using marginal posterior distributions under those priors, we compare frequentist coverage probabilities.

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GMS Brightness를 사용한 구름 두께와 가강수량의 통계적 추정 (Statistical Estimates of Cloud Thickness and Precipitable Water from GMS Brightness Data)

  • 최영진;신동인
    • 대한원격탐사학회지
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    • 제6권2호
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    • pp.153-164
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    • 1990
  • A statistical correlation between cloud thickness and brightness is shown by regression analysis using the least-square method. Cloud thicknesses are obtained from radiosonde observation. Brightness values are obtained from GMS visible channel. Regression analyses are preformed on both thickness data used in conjunction with brightness data for summer season. The results are shown by the regression curve relating thickness and brightness accounting for 79% of variance. And the relationship between thickness and precipitable water in the cloud layers is analyzed. The thickness shows a positive correlation with precipitable water in cloudy layers.