• Title/Summary/Keyword: Principal variables

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Application of Principal Component Analysis Prior to Cluster Analysis in the Concept of Informative Variables

  • Chae, Seong-San
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.1057-1068
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    • 2003
  • Results of using principal component analysis prior to cluster analysis are compared with results from applying agglomerative clustering algorithm alone. The retrieval ability of the agglomerative clustering algorithm is improved by using principal components prior to cluster analysis in some situations. On the other hand, the loss in retrieval ability for the agglomerative clustering algorithms decreases, as the number of informative variables increases, where the informative variables are the variables that have distinct information(or, necessary information) compared to other variables.

Arrow Diagrams for Kernel Principal Component Analysis

  • Huh, Myung-Hoe
    • Communications for Statistical Applications and Methods
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    • v.20 no.3
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    • pp.175-184
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    • 2013
  • Kernel principal component analysis(PCA) maps observations in nonlinear feature space to a reduced dimensional plane of principal components. We do not need to specify the feature space explicitly because the procedure uses the kernel trick. In this paper, we propose a graphical scheme to represent variables in the kernel principal component analysis. In addition, we propose an index for individual variables to measure the importance in the principal component plane.

A Study on the Vulnerability Assessment for Agricultural Infrastructure using Principal Component Analysis (주성분 분석을 이용한 농업생산기반의 재해 취약성 평가에 관한 연구)

  • Kim, Sung Jae;Kim, Sung Min;Kim, Sang Min
    • Journal of The Korean Society of Agricultural Engineers
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    • v.55 no.1
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    • pp.31-38
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    • 2013
  • The purpose of this study was to evaluate climate change vulnerability over the agricultural infrastructure in terms of flood and drought using principal component analysis. Vulnerability was assessed using vulnerability resilience index (VRI) which combines climate exposure, sensitivity, and adaptive capacity. Ten flood proxy variables and six drought proxy variables for the vulnerability assessment were selected by opinions of researchers and experts. The statistical data on 16 proxy variables for the local governments (Si, Do) were collected. To identify major variables and to explain the trend in whole data set, principal component analysis (PCA) was conducted. The result of PCA showed that the first 3 principal components explained approximately 83 % and 89 % of the total variance for the flood and drought, respectively. VRI assessment for the local governments based on the PCA results indicated that provinces where having the relatively large cultivation areas were categorized as vulnerable to climate change.

Hierarchically penalized sparse principal component analysis (계층적 벌점함수를 이용한 주성분분석)

  • Kang, Jongkyeong;Park, Jaeshin;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.135-145
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    • 2017
  • Principal component analysis (PCA) describes the variation of multivariate data in terms of a set of uncorrelated variables. Since each principal component is a linear combination of all variables and the loadings are typically non-zero, it is difficult to interpret the derived principal components. Sparse principal component analysis (SPCA) is a specialized technique using the elastic net penalty function to produce sparse loadings in principal component analysis. When data are structured by groups of variables, it is desirable to select variables in a grouped manner. In this paper, we propose a new PCA method to improve variable selection performance when variables are grouped, which not only selects important groups but also removes unimportant variables within identified groups. To incorporate group information into model fitting, we consider a hierarchical lasso penalty instead of the elastic net penalty in SPCA. Real data analyses demonstrate the performance and usefulness of the proposed method.

Application of the supplementary principal component analysis for the 1982-1992 Korean Pro Baseball data (89-92 한국 프로야구의 각 팀과 부문별 평균 성적에 대한 추가적 주성분분석의 응용)

  • 최용석;심희정
    • The Korean Journal of Applied Statistics
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    • v.8 no.1
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    • pp.51-60
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    • 1995
  • Given an $n \times p$ data matrix, if we add the $p_s$ variables somewhat different nature than the p variables to this matrix, we have a new $n \times (p+p_s)$ data matrix. Because of these $p_s$ variables, the traditional principal component analysis can't provide its efficient results. In this study, to improve this problem we review the supplementary principal component analysis putting $p_s$ variables to supplementary variable. This technique is based on the algebraic and geometric aspects of the traditional principal component analysis. So we provide a type of statistical data analysis for the records of eight teams and fourteen fields of the 1982-1992 Korean Pro Baseball Data based on the supplementary principal component analysis and the traditional principal component analysis. And we compare the their results.

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Representing variables in the latent space (분석변수들의 잠재공간 표현)

  • Huh, Myung-Hoe
    • The Korean Journal of Applied Statistics
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    • v.30 no.4
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    • pp.555-566
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    • 2017
  • For multivariate datasets with large number of variables, classical dimensional reduction methods such as principal component analysis may not be effective for data visualization. The underlying reason is that the dimensionality of the space of variables is often larger than two or three, while the visualization to the human eye is most effective with two or three dimensions. This paper proposes a working procedure which first partitions the variables into several "latent" clusters, explores individual data subsets, and finally integrates findings. We use R pakacage "ClustOfVar" for partitioning variables around latent dimensions and the principal component biplot method to visualize within-cluster patterns. Additionally, we use the technique for embedding supplementary variables to figure out the relationships between within-cluster variables and outside variables.

Effects of Individual and Interpersonal Variables on Early Childhood Teachers' Efficacy of Problem Behavior Guidance (유아교사의 문제행동지도 효능감에 대한 개인적 변인과 대인관계 변인의 영향)

  • Jo, Young-Ran;Kim, Hee-Haw;Kong, You-Kyoung
    • The Korean Journal of Community Living Science
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    • v.20 no.3
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    • pp.437-448
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    • 2009
  • The purpose of this study was to examine the effect of individual and interpersonal variables on early childhood teachers' efficacy of problem behavior guidance. Individual variables consisted of teachers' socio-demographic characteristics, experience of training course on problem behavior guidance and warm-hearted attitude. Interpersonal variables consisted of intimacy with colleagues, support from the principal of a kindergarten, parental partnerships. Subjects were 122 early childhood teachers in Busan. Major findings were as follows. There were significant differences in teachers' efficacy of problem behavior guidance with respect to teachers' age, teaching experience, position, marriage status, experience of training course on problem behavior guidance, warm-hearted attitude, intimacy with colleagues, and support from the principal of a kindergarten. In other words, a higher level of teachers' efficacy of problem behavior guidance was shown in the teachers who were older, highly experienced, or in higher positions. In addition, teachers who were married, had completed a training course on problem behavior guidance, had a higher warm-hearted attitude, had a intimacy with colleagues, or had a support from the principal of a kindergarten were found to have higher efficacy of problem behavior guidance. As results of examining relative effects of individual and interpersonal variables on efficacy of problem behavior guidance, the influential variables are teaching experience, warm-hearted attitude, support from the principal of a kindergarten, and position in that order.

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A Study on Selecting Principle Component Variables Using Adaptive Correlation (적응적 상관도를 이용한 주성분 변수 선정에 관한 연구)

  • Ko, Myung-Sook
    • KIPS Transactions on Software and Data Engineering
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    • v.10 no.3
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    • pp.79-84
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    • 2021
  • A feature extraction method capable of reflecting features well while mainaining the properties of data is required in order to process high-dimensional data. The principal component analysis method that converts high-level data into low-dimensional data and express high-dimensional data with fewer variables than the original data is a representative method for feature extraction of data. In this study, we propose a principal component analysis method based on adaptive correlation when selecting principal component variables in principal component analysis for data feature extraction when the data is high-dimensional. The proposed method analyzes the principal components of the data by adaptively reflecting the correlation based on the correlation between the input data. I want to exclude them from the candidate list. It is intended to analyze the principal component hierarchy by the eigen-vector coefficient value, to prevent the selection of the principal component with a low hierarchy, and to minimize the occurrence of data duplication inducing data bias through correlation analysis. Through this, we propose a method of selecting a well-presented principal component variable that represents the characteristics of actual data by reducing the influence of data bias when selecting the principal component variable.

Principal Component Analysis with Coefficient of Variation Matrix (변동계수행렬을 이용한 주성분분석)

  • Kim, Ji-Hyun
    • The Korean Journal of Applied Statistics
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    • v.28 no.3
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    • pp.385-392
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    • 2015
  • Principal component analysis (PCA), a dimension-reduction technique, is usually implemented after the variables are standardized when the measurement unit of variables are different. To standardize a variable we divide it by its standard deviation. But there is another way to transform a variable to be independent of its measurement unit. It is to divide it by its mean rather than standard deviation. Implementing PCA on standardized variables is equivalent to implementing PCA with a correlation matrix of original variables. Similarly, implementing PCA on the transformed variables divided by their means is equivalent to implementing PCA with a matrix related to the coefficients of variation of the original variables. We explain why we need to implement PCA on the variables transformed by their means.

Grouping the Ginseng Field Soil Based on the Development of Root Rot of Ginseng Seedlings (유묘 뿌리썩음병 진전에 따른 이산재배 토양의 유별)

  • 박규진;박은우;정후섭
    • Korean Journal Plant Pathology
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    • v.13 no.1
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    • pp.37-45
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    • 1997
  • Disease incidence (DI), pre-emergence damping-off (PDO), days until the first symptom appeared (DUS), disease progress curve (DPC), and area under disease progress curve (AUDPC) were investigated in vivo after sowing ginseng seeds in each of 37 ginseng-cultivated soils which were sampled from 4 regions in Korea. Non linear fitting parameters, A, B, K and M, were estimated from the Richards' function, one of the disease progress models, by using the DI at each day from the bioassay. Inter- and intra-relationships between disease variables and stand-missing rate (SMR) in fields were investigated by using the simple correlation analysis. Disease variables of the root rot were divided into two groups: variables related to disease incidence, e.g., DI, AUDPC and A parameter, and variables related to disease progress, e.g., B, K and M parameters. DI, AUDPC, and DUS had significant correlations with SMR in ginseng fields, and then it showed that the disease development in vivo corresponded with that in fields. Soil samples could be separated into 3 and 4 groups, respectively, on the basis of the principal component 1 (PC1) and the principal component 2 (PC2), which were derived from the principal component analysis (PCA) of Richards' parameters, A, B, K and M. PC1 accounted for B, K and M parameters, and PC2 accounted for A parameter.

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