• 제목/요약/키워드: Partial correlation

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ppcor: An R Package for a Fast Calculation to Semi-partial Correlation Coefficients

  • Kim, Seongho
    • Communications for Statistical Applications and Methods
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    • 제22권6호
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    • pp.665-674
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    • 2015
  • Lack of a general matrix formula hampers implementation of the semi-partial correlation, also known as part correlation, to the higher-order coefficient. This is because the higher-order semi-partial correlation calculation using a recursive formula requires an enormous number of recursive calculations to obtain the correlation coefficients. To resolve this difficulty, we derive a general matrix formula of the semi-partial correlation for fast computation. The semi-partial correlations are then implemented on an R package ppcor along with the partial correlation. Owing to the general matrix formulas, users can readily calculate the coefficients of both partial and semi-partial correlations without computational burden. The package ppcor further provides users with the level of the statistical significance with its test statistic.

Semi-Partial Canonical Correlation Biplot

  • Lee, Bo-Hui;Choi, Yong-Seok;Shin, Sang-Min
    • 응용통계연구
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    • 제25권3호
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    • pp.521-529
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    • 2012
  • Simple canonical correlation biplot is a graphical method to investigate two sets of variables and observations in simple canonical correlation analysis. If we consider the set of covariate variables that linearly affects two sets of variables, we can apply the partial canonical correlation biplot in partial canonical correlation analysis that removes the linear effect of the set of covariate variables on two sets of variables. On the other hand, we consider the set of covariate variables that linearly affect one set of variables but not the other. In this case, if we apply the simple or partial canonical correlation biplot, we cannot clearly interpret other two sets of variables. Therefore, in this study, we will apply the semi-partial canonical correlation analysis of Timm (2002) and remove the linear effect of the set of covariate variables on one set of variables but not the other. And we suggest the semi-partial canonical correlation biplot for interpreting the semi-partial canonical correlation analysis. In addition, we will compare shapes and shape the variabilities of the simple, partial and semi-partial canonical correlation biplots using a procrustes analysis.

P-value calculation methods for semi-partial correlation coefficients

  • Kim, Seongho
    • Communications for Statistical Applications and Methods
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    • 제29권3호
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    • pp.397-402
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    • 2022
  • The mathematical expression of the p-value calculation for the semi-partial correlation coefficient differs between Kim (2015) and Cohen et al. (2003). These two expressions were compared and the advantages of Kim (2015)'s approach over Cohen et al. (2003) were discussed.

편정준상관 행렬도 (Partial Canonical Correlation Biplot)

  • 염아림;최용석
    • 응용통계연구
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    • 제24권3호
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    • pp.559-566
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    • 2011
  • 행렬도는 이원표 자료행렬의 행과 열을 탐색하기에 유용한 그래프적 방법이다. 특히, 정준상관 행렬도는 정준상관분석의 결과를 이용하여 두 변수군과 개체간의 관계를 기하적으로 살펴볼 수 있다. 그 반면에 자료의 성격에 따라 세개 이상의 변수군이 존재하는 경우에는 정준상관분석의 개념에서 확장한 일반화 정준상관분석을 이용하여 일반화 정준상관 행렬도를 고려할 수 있다. 그러나 자료의 성격에 따라 두 변수군 외에 이들 두 변수군에 선형적 영향을 미치는 공변량변수로 이루어진 다른 한 변수군이 존재하는 경우에, 일반화 정준상관 행렬도를 적용한다면 공변량변수군의 영향력 때문에 주 관심인 두 변수군에 대하여 잘못 해석할 수 있다. 따라서 본 연구에서는 Rao (1969)의 공변량 변수군의 영향력을 제거한 편정준상관분석을 살펴보고, 이를 기하적으로 해석하기 위한 편정준상관 행렬도를 제안한다.

LTE 시스템에서 초기 셀 탐색을 위한 부분 상관값 기반 PSS 검출 방식에 관한 고찰 (A Study on Partial Correlation based PSS Detection Schemes for Initial Cell Search in LTE Systems)

  • 주정석
    • 전자공학회논문지
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    • 제51권9호
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    • pp.3-10
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    • 2014
  • LTE 시스템의 하향링크 동기 신호는 PSS (primary synchronization signal)과 SSS (secondary synchronization signal)로 나눠져 있으며, 미리 정해져 있는 3 개의 신호 중 하나가 전송되는 PSS 신호를 먼저 찾은 다음 SSS 신호를 검출하게 된다. 본 논문에서는 부분 상관값 계산 구간의 길이가 다른 검출기들을 동시에 사용하는 PSS 검출 방식을 제안한다. 우선 구간별 부분 상관값을 다시 활용함으로써 여러 개의 검출기를 동시에 사용함에 따른 계산량의 증가를 최소화한다. 또한, 동시에 사용된 검출기들의 결과 값 중에서 가장 믿을 만한 하나의 값을 선택하기 위하여 임시 주파수 오차 값(tentative frequency offset)을 이용한 동기식 최종 추정치 선택 방법을 제안한다. 컴퓨터 모의실험을 통하여, 제안된 방식이 넓은 주파수 오차 범위에서 안정적인 PSS 검출 성능을 보임을 검증하고자 한다.

Fast 360° Sound Source Localization using Signal Energies and Partial Cross Correlation for TDOA Computation

  • Yiwere, Mariam;Rhee, Eun Joo
    • Journal of Information Technology Applications and Management
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    • 제24권1호
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    • pp.157-167
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    • 2017
  • This paper proposes a simple sound source localization (SSL) method based on signal energies comparison and partial cross correlation for TDOA computation. Many sound source localization methods include multiple TDOA computations in order to eliminate front-back confusion. Multiple TDOA computations however increase the methods' computation times which need to be as minimal as possible for real-time applications. Our aim in this paper is to achieve the same results of localization using fewer computations. Using three microphones, we first compare signal energies to predict which quadrant the sound source is in, and then we use partial cross correlation to estimate the TDOA value before computing the azimuth value. Also, we apply a threshold value to reinforce our prediction method. Our experimental results show that the proposed method has less computation time; spending approximately 30% less time than previous three microphone methods.

제한된 왜곡불변 MACE 합성필터를 이용한 효율적인 한글 문자 인식 (Efficient Korean Character Recognition using Partial Distortion Invariant MACE Composite Filter)

  • 김성용;이승희;김철수;김정우;배장근;김수중
    • 전자공학회논문지B
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    • 제30B권4호
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    • pp.44-55
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    • 1993
  • In this paper, we proposed a new optical method for the efficient recognition of Korean characters. There are six filters in the proposed method which employed the concepts of amplitude-modulated phase-only filter(AMPOF) and spatial frequency modulation(SFM). Here, amplitude modulation is used to achieve improved correlation discrimination and SFM is to reduce the number of filters. We also used a simplified synthetic discriminant function(SDF) for distortion invariance of input image. In order to recognize the partial rotation invariant Korean characters, the proposed distortion invariant minimum average correlation energy (MACE) filter is synthesized SFM, partial rotation invariant filter (PRIF), AMPOF and MACE for partial rotation invariance in the frequency domain. The advantage of the proposed filters is to supress the sidelobes of cross correlation peak away from the autocorrelation peak and to produce sharp correlation peaks. We performed simulation and optical experiment for some of Korea characters using the proposed method. The results show that the proposed method has more improved discriminant ability and reduced processing time than the conventional methods.

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신경망을 이용한 전력용 변압기의 부분방전 위치추정 (Estimation of The Partial Discharge Position Using Neural Networks in The Power Transformers)

  • 김재철;윤용한;김영식;권동진
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 하계학술대회 논문집 C
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    • pp.1649-1651
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    • 1994
  • This paper presents a new method for estimating partial discharge position using improved cross-correlation technique and neural networks in the power transformer. When ultrasonic signal is occurred by partial discharge, we detected these signals and calculated cross-correlation values with Hamming window. Also, we estimated partial discharge position using neural network with cross-correlation values. In the result of case study, we can estimate more accurately the partial discharge position than any other algorithms.

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Fast Time Difference of Arrival Estimation for Sound Source Localization using Partial Cross Correlation

  • Yiwere, Mariam;Rhee, Eun Joo
    • Journal of Information Technology Applications and Management
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    • 제22권3호
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    • pp.105-114
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    • 2015
  • This paper presents a fast Time Difference of Arrival (TDOA) estimation for sound source localization. TDOA is the time difference between the arrival times of a signal at two sensors. We propose a partial cross correlation method to increase the speed of TDOA estimation for sound source localization. We do this by predicting which part of the cross correlation function contains the required TDOA value with the help of the signal energies, and then we compute the cross correlation function in that direction only. Experiments show approximately 50% reduction in the cross correlation computation time thereby increasing the speed of TDOA computation. This makes it very relevant for real world surveillance.

파고와 파형경사의 상관성을 고려한 피복석의 신뢰성 해석 및 부분안전계수 산정 (Reliability Analysis and Evaluation of Partial Safety Factors of Breakwater Armor stones Considering Correlation between Wave Height and Wave Steepness)

  • 김승우;서경덕
    • 한국해안·해양공학회논문집
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    • 제20권3호
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    • pp.300-309
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    • 2008
  • 지금까지 연구된 피복석의 부분안전계수는 각 확률변수가 독립이라고 가정하여 계산하였다. 하지만 피복석의 안정공식 중 van der Meer 공식에서 파형경사와 파고는 독립이 아니며 상관성을 가지고 있다. 본 연구에서는 이들의 상관성을 고려한 부분안전계수를 산정하였고 이를 상관성을 고려하지 않은 다른 연구자들의 결과와 비교하였다. 파고와 파형경사의 상관성은 주기의 변동성과 밀접한 관계가 있다. 주기의 변동성이 작아짐에 따라 파고와 파형경사의 상관성은 커지며, 상관성 고려 여부에 따른 계산 결과의 차이가 커진다. 따라서 주기의 변동성이 작은 지역에서는 상관성을 충분히 검토하여 부분안전계수를 산정해야 할 것이다.