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A study on the properties of sensitivity analysis in principal component regression and latent root regression (주성분회귀와 고유값회귀에 대한 감도분석의 성질에 대한 연구)

  • Shin, Jae-Kyoung;Chang, Duk-Joon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.2
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    • pp.321-328
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    • 2009
  • In regression analysis, the ordinary least squares estimates of regression coefficients become poor, when the correlations among predictor variables are high. This phenomenon, which is called multicollinearity, causes serious problems in actual data analysis. To overcome this multicollinearity, many methods have been proposed. Ridge regression, shrinkage estimators and methods based on principal component analysis (PCA) such as principal component regression (PCR) and latent root regression (LRR). In the last decade, many statisticians discussed sensitivity analysis (SA) in ordinary multiple regression and same topic in PCR, LRR and logistic principal component regression (LPCR). In those methods PCA plays important role. Many statisticians discussed SA in PCA and related multivariate methods. We introduce the method of PCR and LRR. We also introduce the methods of SA in PCR and LRR, and discuss the properties of SA in PCR and LRR.

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A Study on the Soil Stress Distribution in Furrow Slice (역토내(壢土內)의 응력분포(應力分布)에 관(關)한 연구(硏究))

  • Lee, Ki Myung;Lee, Suk Gun;Kim, Tae Han
    • Journal of Biosystems Engineering
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    • v.7 no.2
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    • pp.1-7
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    • 1983
  • In order to identify the stress distribution on the furrow slice a small soil bin instrumented with soil stress meters was designed and constructed. From a series of experiments conducted in the soil bin the following results were obtained. 1) Neither the cutting conditions nor the soil conditions affected the direction of the principal stress. 2) The magnitude of the principal stress increased as the tillage depth increased. However, no effects due to lift angles were shown on the magnitude of the principal stresses. 3) The maximum principal stress increased with increase of the moisture and clay contents in the soil. 4) In the clay soil, the maximum principal stresses were distributed uniformly over the tillage depth. However, as the sand content increased, the maximum principal stresses decreased gradually on the top layer so that the distribution over the tillage depth became a trapezoidal shape.

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County-Based Vulnerability Evaluation to Agricultural Drought Using Principal Component Analysis - The case of Gyeonggi-do - (주성분 분석법을 이용한 시군단위별 농업가뭄에 대한 취약성 분석에 관한 연구 - 경기도를 중심으로 -)

  • Jang, Min-Won
    • Journal of Korean Society of Rural Planning
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    • v.12 no.1 s.30
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    • pp.37-48
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    • 2006
  • The objectives of this study were to develop an evaluation method of regional vulnerability to agricultural drought and to classify the vulnerability patterns. In order to test the method, 24 city or county areas of Gyeonggi-do were chose. First, statistic data and digital maps referred for agricultural drought were defined, and the input data of 31 items were set up from 5 categories: land use factor, water resource factor, climate factor, topographic and soil factor, and agricultural production foundation factor. Second, for simplification of the factors, principal component analysis was carried out, and eventually 4 principal components which explain about 80.8% of total variance were extracted. Each of the principal components was explained into the vulnerability components of scale factor, geographical factor, weather factor and agricultural production foundation factor. Next, DVIP (Drought Vulnerability Index for Paddy), was calculated using factor scores from principal components. Last, by means of statistical cluster analysis on the DVIP, the study area was classified as 5 patterns from A to E. The cluster A corresponds to the area where the agricultural industry is insignificant and the agricultural foundation is little equipped, and the cluster B includes typical agricultural areas where the cultivation areas are large but irrigation facilities are still insufficient. As for the cluster C, the corresponding areas are vulnerable to the climate change, and the D cluster applies to the area with extensive forests and high elevation farmlands. The last cluster I indicates the areas where the farmlands are small but most of them are irrigated as much.

Study on the correlation between assignment of the Three Eums and Yangs to calendar in the "Somun.Make'ae" and the exterior interior relationships of the Meridian ("소문(素問).맥해(脈解)"의 삼음삼양(三陰三陽) 월(月) 배속(配屬)과 경락(輕絡) 표리(表裏)의 상관성에 대한 연구)

  • Bang Jung-Kyun
    • Korean Journal of Acupuncture
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    • v.23 no.4
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    • pp.59-65
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    • 2006
  • Objectives : By comparing the correspondence of Three Eums and Yangs (三陰三陽) to calendr in ${\ulcorner}Somun\;Make'ae{\lrcorner}$ with twelve principal divinatory symbols, this paper intends to explain the exterior and interior of meridian system using the phenomena of the trigrams from Juyeok(卦). It also tries to relate the phenomena of the trigrams with the characteristics of the original Gi (本氣) of Three Em and Yangs tough the interpretation of Three Eums and Yangs assigned to twelve principal divinatory symbols. Methods : This paper compares the correspondence of Three Eums and Yangs to calendar in ${\ulcorner}Somun\;Make'ae{\lrcorner}$ with twelve principal divinatory symbols. By this, it traces the making of the exterior and interior relationship between Taeeum (太陰)-Yangmyeong (陽明), Soeum (少陰)-Taeyang (太陽), and Gworeum (厥陰)-Soyang (少陽) through the phenomena of trigrams assigned to Three Eums and Yangs. It also interprets Three Em and Yangs assigned to twelve principal divinatory symbols, using the original Gi of the six atmospheric influences(六氣). Results and Conclusions : Three Eums and Yangs in ${\ulcorner}Somun\;Make'ae{\lrcorner}$ signify the six meridians of the leg. Soeum (少陰) is assigned to October in ${\ulcorner}Somun\;Make'ae{\lrcorner}$ but it is more appropriate to assign it to July. If Soeum (少陰) is assigned to July, Three Eums and Yangs have phenoma of the trigrams with Em and Yang lines (陽爻) counter to each other, and can be explained as the exterior and interior relationship. lastly, in case of Three Eums and Yangs assigned to twelve principal divinatory symbols, the phenomena of the trigrams can be interpreted as the original Gi of Three Eums and Yangs.

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Stress interactions between two asymmetric noncircular tunnels

  • La, You-Sung;Kim, Bumjoo;Jang, Yeon-Soo;Choi, Won-Hyuk
    • Geomechanics and Engineering
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    • v.15 no.3
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    • pp.869-877
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    • 2018
  • The continually growing demand for underground space in dense urban cities is also driving the demand for underground highways. Building the underground highway tunnel, however, can involve complex design and construction considerations, particularly when there exists divergence or convergence in the tunnel. In this study, interaction between two asymmetric noncircular tunnels-that is, a larger main tunnel and a smaller tunnel diverging from the main tunnel, was investigated by examining the distributions of the principal stresses and the strength/stress ratio for varying geometric conditions between the two tunnels depending on diverging conditions using both numerical analysis and scale model test. The results of numerical analysis indicated that for the $0^{\circ}$, $30^{\circ}$, $60^{\circ}$ diverging directions, the major principal stress showed an initial gradual decrease and then a little steeper increase with the increased distance from the left main tunnel, except for $90^{\circ}$ where a continuous drop occurred, whereas the minor principal stress exhibited an opposite trend with the major principal stresses. The strength/stress ratio showed generally a bell-shaped but little skewed to left distribution over the distance increased from the left larger tunnel, similarly to the variation of the minor principal stress. For the inter-tunnel distance less than 0.5D, the lowest strength/stress ratio values were shown to be below 1.0 for all diverging directions ($0^{\circ}$, $30^{\circ}$, $60^{\circ}$ and $90^{\circ}$). The failure patterns observed from the model test were found to be reasonably consistent with the results of numerical analysis.

Principal Components Regression in Logistic Model (로지스틱모형에서의 주성분회귀)

  • Kim, Bu-Yong;Kahng, Myung-Wook
    • The Korean Journal of Applied Statistics
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    • v.21 no.4
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    • pp.571-580
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    • 2008
  • The logistic regression analysis is widely used in the area of customer relationship management and credit risk management. It is well known that the maximum likelihood estimation is not appropriate when multicollinearity exists among the regressors. Thus we propose the logistic principal components regression to deal with the multicollinearity problem. In particular, new method is suggested to select proper principal components. The selection method is based on the condition index instead of the eigenvalue. When a condition index is larger than the upper limit of cutoff value, principal component corresponding to the index is removed from the estimation. And hypothesis test is sequentially employed to eliminate the principal component when a condition index is between the upper limit and the lower limit. The limits are obtained by a linear model which is constructed on the basis of the conjoint analysis. The proposed method is evaluated by means of the variance of the estimates and the correct classification rate. The results indicate that the proposed method is superior to the existing method in terms of efficiency and goodness of fit.

Comparison of Dietary Externalization in Korea and Japan -by Principal Component Analysis- (식생활 외부화에 관한 한일 비교 연구 -주성분 분석을 이용하여-)

  • Choi Hyun-Sook
    • Journal of the East Asian Society of Dietary Life
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    • v.16 no.1
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    • pp.23-28
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    • 2006
  • The purpose of this paper was to clarify the actual conditions of the 'Dietary externalization' mainly by using the economic and nutrition-related data, accompanied by the economic development in Korea and Japan. 'Modernization of food style' and other modernization have taken place, among which 'Dietary externalization' in particular has recently drawn interest. At the time this paper clarified with econometric analysis whether there are differences between the two countries in term of the modernization of food style and dietary externalization trend. The trends of Dietary externalization of both Korea and Japan were studied using Principal Component Analysis method. The food subgroup were investigated based on the annual report on the household income and expenditure survey of Korea and the annual report on the family income and expenditure survey of Japan. The statistical data from both country were analyzed by SAS program. The results are as follows; 1. In Korea, the ratio of carbohydrates in the total calorie intake is quite high and animal protein is rather low compared to those in Japan. 2. Traditional food such as grains and vegetables are consumed much more in Korea than in Japan. 3. The Principal Component 1, 2 were extracted in both countries during the whole analysis period, which suggested the 'Dietary externalization' 4. Principal Component 1 has a positive factor loaded in all food items including meals outside the home and process food. In other words, it is apparent that the 'Dietary externalization' tread in Korea has a simple pattern suggesting that all externalization related items are on the rise. 5. Principal component 1, 2 which indicated the dietary externalization, were detected in Japan.

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Improved speech enhancement of multi-channel Wiener filter using adjustment of principal subspace vector (다채널 위너 필터의 주성분 부공간 벡터 보정을 통한 잡음 제거 성능 개선)

  • Kim, Gibak
    • The Journal of the Acoustical Society of Korea
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    • v.39 no.5
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    • pp.490-496
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    • 2020
  • We present a method to improve the performance of the multi-channel Wiener filter in noisy environment. To build subspace-based multi-channel Wiener filter, in the case of single target source, the target speech component can be effectively estimated in the principal subspace of speech correlation matrix. The speech correlation matrix can be estimated by subtracting noise correlation matrix from signal correlation matrix based on the assumption that the cross-correlation between speech and interfering noise is negligible compared with speech correlation. However, this assumption is not valid in the presence of strong interfering noise and significant error can be induced in the principal subspace accordingly. In this paper, we propose to adjust the principal subspace vector using speech presence probability and the steering vector for the desired speech source. The multi-channel speech presence probability is derived in the principal subspace and applied to adjust the principal subspace vector. Simulation results show that the proposed method improves the performance of multi-channel Wiener filter in noisy environment.

A Comparative Study on Factor Recovery of Principal Component Analysis and Common Factor Analysis (주성분분석과 공통요인분석에 대한 비교연구: 요인구조 복원 관점에서)

  • Jung, Sunho;Seo, Sangyun
    • The Korean Journal of Applied Statistics
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    • v.26 no.6
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    • pp.933-942
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    • 2013
  • Common factor analysis and principal component analysis represent two technically distinctive approaches to exploratory factor analysis. Much of the psychometric literature recommends the use of common factor analysis instead of principal component analysis. Nonetheless, factor analysts use principal component analysis more frequently because they believe that principal component analysis could yield (relatively) less accurate estimates of factor loadings compared to common factor analysis but most often produce similar pattern of factor loadings, leading to essentially the same factor interpretations. A simulation study is conducted to evaluate the relative performance of these two approaches in terms of factor pattern recovery under different experimental conditions of sample size, overdetermination, and communality.The results show that principal component analysis performs better in factor recovery with small sample sizes (below 200). It was further shown that this tendency is more prominent when there are a small number of variables per factor. The present results are of practical use for factor analysts in the field of marketing and the social sciences.

A Study on the Causes of Lack of Principal Employment System Awareness and Its Improvement Plan (교장공모제의 인식 부족 원인과 개선방안에 대한 연구)

  • Lee, Sangoh;Kim, Changmin;Kwon, Youngjoon;Sim, Jiyoung;Cho, Youngjoo;Ryu, Hojoon;Lee, Giljae
    • Korean Educational Research Journal
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    • v.38 no.1
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    • pp.41-59
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    • 2017
  • The quality of education is determined by the quality of teachers, and in particular the competence of principals is important for the desirable flow of schooling. The Principal employment system was adopted as one of the educational reforms introduced by the government. However, even though it has been 10 years since the enactment of PES, the perception of that has been low. To solve this, first, government should be more active in promoting publicity for the principal. Second, the elected principal should not be concentrated only in small areas, but should spread to urban areas. Finally, principals must increase the rate at which practitioners are able to contribute substantially to public subscriptions.

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