• 제목/요약/키워드: Multivariate Correlation Analysis

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정준상관분석을 통한 다변량 금융시계열의 변동성 분석 (Multivariate Volatility Analysis via Canonical Correlations for Financial Time Series)

  • 이승연;황선영
    • 응용통계연구
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    • 제27권7호
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    • pp.1139-1149
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    • 2014
  • 다변량 금융시계열의 변동성분석을 다변량 기법인 정준상관분석(canonocal correaltion analysis)을 이용해 분석하였다. 변동성의 특성상 계수들이 비음(non-negative)인 정준상관분석, 즉, non-negative and sparse canonical correlation analysis (NSCCA)를 이용해 보았다. 본 논문은 다변량 시계열의 변동성 커브에 대해 연구하고 있으며 제시된 방법론을 이변량 주식자료분석을 통해 예시해 보았다.

Canonical Correlation Biplot

  • Park, Mi-Ra;Huh, Myung-Hoe
    • Communications for Statistical Applications and Methods
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    • 제3권1호
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    • pp.11-19
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    • 1996
  • Canonical correlation analysis is a multivariate technique for identifying and quantifying the statistical relationship between two sets of variables. Like most multivariate techniques, the main objective of canonical correlation analysis is to reduce the dimensionality of the dataset. It would be particularly useful if high dimensional data can be represented in a low dimensional space. In this study, we will construct statistical graphs for paired sets of multivariate data. Specifically, plots of the observations as well as the variables are proposed. We discuss the geometric interpretation and goodness-of-fit of the proposed plots. We also provide a numerical example.

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다변량 통계분석을 이용한 낙동강 창녕함안보 구간의 수질 특성 평가 (The Evaluation of Water Quality Using a Multivariate Analysis in Changnyeong-Haman weir section)

  • 곽보라;김일규
    • 상하수도학회지
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    • 제29권6호
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    • pp.625-632
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    • 2015
  • The study of water environment system using a multivariate analysis in Changnyeong-Haman weir section has been conducted. The purpose of this study is to establish better understanding related water qualities in the Changnyeong-Haman weir section which can provide useful information. The data were consisted of water quality data and algae data including WT(water temperature), pH, DO, EC, COD, SS, T-N, $NH_3-N$, T-P, $PO_4-P$, Chl-a, TOC, d-silica, t-silica, Cyanobacteria, Diatoms, and Green algae. Statistical analyses used in this study were correlation analysis, principal components, and factor analysis. According to correlation analysis on COD and TOC, it revealed that the each value of correlation coefficient was 0.843. On the other result, a negative correlation was observed between diatoms and d-silica. Furthermore, the results of principal component analysis to the overall water quality were classified into four main factors with contribution rate 81.071%.

Improving Interpretability of Multivariate Data Through Rotations of Artificial Variates

  • Hwang, S.Y.;Park, A.M.
    • Journal of the Korean Data and Information Science Society
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    • 제15권2호
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    • pp.297-306
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    • 2004
  • It is usual that multivariate data analysis produces related (small number of) artificial variates for data reduction. Among them, refer to MDS(multidimensional scaling), MDPREF(multidimensional preference analysis), CDA(canonical discriminant analysis), CCA(canonical correlation analysis) and FA(factor analysis). Varimax rotation of artificial variables which is originally invented in FA for easy interpretations is applied to diverse multivariate techniques mentioned above. Real data analysisis is performed in order to manifest that rotation improves interpretations of artificial variables.

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범주형 다변량 데이터의 상관관계분석에 관한 기초적 연구(II) (A Study on the Correlation Analysis about Categorical Multivariate Data(II))

  • 노형진
    • 한국컴퓨터정보학회논문지
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    • 제5권3호
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    • pp.142-150
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    • 2000
  • 범주형 다변량 데이터의 상관관계분석을 위하여 개발한 수량화이론 III류나 대응분석 등의 기법은 다차원 공간상에서 점간의 거리로써 두 요소집합간의 관련성을 설명하는 데 있어서 매우 유용하다. 본 연구에서는 상관관계분석을 위한 대응분석의 특성을 수량화이론 III류와 비교하여 설명하고 그 유용성을 논하기로 한다. 이 기법은 사회과학 분야의 상관관계분석에 널리 활용될 것으로 기대된다.

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다변량 공정능력지수들의 비교분석 (Comparison Analysis of Multivariate Process Capability Indices)

  • 문혜진;정영배
    • 산업경영시스템학회지
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    • 제42권1호
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    • pp.106-114
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    • 2019
  • Recently, the manufacturing process system in the industrial field has become more and more complex and has been influenced by many and various factors. Moreover, these factors have the dependent correlation rather than independent of each other. Therefore, the statistical analysis has been extended from the univariate method to the multivariate method. The process capability indices have been widely used as statistical tools to assess the manufacturing process performance. Especially, the multivariate process indices need to be enhanced with more useful information and extensive application in the recent industrial fields. The various multivariate process capability indices have been studying by many researchers in recent years. Hence, the purpose of the study is to compare the useful and various multivariate process capability indices through the simulation. Among them, we compare the useful models of several multivariate process capability indices such as $MC_{pm}$, $MC^+_{pm}$ and $MC_{pl}$. These multivariate process capability indices are incorporates both the process variation and the process deviation from target or consider the expected loss caused by the process deviation from target. Through the computational examples, we compare these process capability indices and discuss their usefulness and effectiveness.

Multivariate statistical analysis of the comparative antioxidant activity of the total phenolics and tannins in the water and ethanol extracts of dried goji berry (Lycium chinense) fruits

  • Kim, Joo-Shin;Kimm, Haklin Alex
    • 한국식품과학회지
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    • 제51권3호
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    • pp.227-236
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    • 2019
  • Antioxidant activity in water and ethanol extracts of dried Lycium chinense fruit, as a result of the total phenolic and tannin content, was measured using a number of chemical and biochemical assays for radical scavenging and inhibition of lipid peroxidation, with the analysis being extended by applying a bootstrapping statistical method. Previous statistical analyses mostly provided linear correlation and regression analyses between antioxidant activity and increasing concentrations of phenolics and tannins in a concentration-dependent mode. The present study showed that multiple component or multivariate analysis by applying multiple regression analysis or regression planes proved more informative than linear regression analysis of the relationship between the concentration of individual components and antioxidant activity. In this paper, we represented the multivariate analysis of antioxidant activities of both phenolic and tannin contents combined in the water and ethanol extracts, which revealed the hidden observations that were not evident from linear statistical analysis.

다변량 통계기법을 이용한 K및 n의 산정에 관한 연구 (A Study on the Estimation of Coefficients K and n Using Multivariate Data Analysis)

  • 백용진;최재성;배동명;김경진
    • 한국소음진동공학회논문집
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    • 제13권8호
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    • pp.583-590
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    • 2003
  • For the preestimate of the vibration level of the ground next to a dwelling, a multivariate statistical analysis on the experiment data acquired from a variety of construction sites was performed, and then a new estimate model for the value of K and n that can be applied in the diagnosis of the damage was offered. The results maybe summarized as follows : First, the $K_{95}$ and n showed high correlation at P$\leq$0.05. Specially the correlation coefficient about $W_{max}$, S were higher in $K_{95}$ than in n. indicating that $K_{95}$ is generally associated with source conditions. Second, the factor analysis permitted to identify two major sources in each fraction. These sources accounted for at least 73 % of valiance of $K_{95}$. Third, the multiple regression model for the estimate of $K_{95}$ was developed from Fac1 which depend upon the source conditions and Fac2 which depend upon the transmission conditions. The n value is able to determine from the correlation relationship associated with $K_{95}$./.

Assessment of tunnel damage potential by ground motion using canonical correlation analysis

  • Chen, Changjian;Geng, Ping;Gu, Wenqi;Lu, Zhikai;Ren, Bainan
    • Earthquakes and Structures
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    • 제23권3호
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    • pp.259-269
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    • 2022
  • In this study, we introduce a canonical correlation analysis method to accurately assess the tunnel damage potential of ground motion. The proposed method can retain information relating to the initial variables. A total of 100 ground motion records are used as seismic inputs to analyze the dynamic response of three different profiles of tunnels under deep and shallow burial conditions. Nine commonly used ground motion parameters were selected to form the canonical variables of ground motion parameters (GMPCCA). Five structural dynamic response parameters were selected to form canonical variables of structural dynamic response parameters (DRPCCA). Canonical correlation analysis is used to maximize the correlation coefficients between GMPCCA and DRPCCA to obtain multivariate ground motion parameters that can be used to comprehensively assess the tunnel damage potential. The results indicate that the multivariate ground motion parameters used in this study exhibit good stability, making them suitable for evaluating the tunnel damage potential induced by ground motion. Among the nine selected ground motion parameters, peck ground acceleration (PGA), peck ground velocity (PGV), root-mean-square acceleration (RMSA), and spectral acceleration (Sa) have the highest contribution rates to GMPCCA and DRPCCA and the highest importance in assessing the tunnel damage potential. In contrast to univariate ground motion parameters, multivariate ground motion parameters exhibit a higher correlation with tunnel dynamic response parameters and enable accurate assessment of tunnel damage potential.

경영정보의 인과구조 구축을 위한 다변량통계기법 적용에 관한 연구 (A study on applying multivariate statistical method for making casual structure in management information)

  • 조성훈;김태성
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 1996년도 추계학술대회발표논문집; 고려대학교, 서울; 26 Oct. 1996
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    • pp.117-120
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    • 1996
  • The objective of this study is to suggest modified Covariance Structure Analysis that combine with existing Multivariate Statistical Method which is used Casual Analysis Method in Management Information. For this purpose, we'll consider special feature and limitation about Correlation Analysis, Regression Analysis, Path Analysis and connect Covariance Structure Analysis with Statistical Factor Analysis so that theoretical casual model compare with variables structure in collecting data. A example is also presented to show the practical applicability of this approach.

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