• Title/Summary/Keyword: partial correlation coefficients

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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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    • v.22 no.6
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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.

P-value calculation methods for semi-partial correlation coefficients

  • Kim, Seongho
    • Communications for Statistical Applications and Methods
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    • v.29 no.3
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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.

Comparison of High Frequency Detailed Generator Models for Partial Discharge Localization

  • Hassan Hosseini, S.M.;Hosseini Bafghi, S.M.
    • Journal of Electrical Engineering and Technology
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    • v.10 no.4
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    • pp.1752-1758
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    • 2015
  • This paper presents partial discharge localization in stator winding of generators using multi-conductor transmission line (MTL) and RLC ladder network models. The high-voltage (HV) winding of a 6kV/250kW generator has been modeled by MATLAB software. The simulation results of the MTL and the RLC ladder network models have been evaluated with the measurements results in the frequency domain by applying of the Pearson’s correlation coefficients. Two PD generated calibrator signals in kHz and MHz frequency range were injected into different points of generator winding and the signals simulated/measured at the both ends of the winding. For partial discharge localization in stator winding of generators is necessary to calculate the frequency spectrum of the PD current signals and then estimate the poles of the system from the calculated frequency spectrum. Finally, the location of PD can be estimated. This theory applied for the above generator and the simulation/measured results show the good correlation for PD Location for RLC ladder network and MTL models in the frequency range of kHz (10kHz<f<1MHz) and MHz (1MHz<f<5MHz) respectively.

Analysis of Partial Least Square Regression on Textural Data from Back Extrusion Test for Commercial Instant Noodles (시중 즉석 조리 면의 Back Extrusion 텍스처 데이터에 대한 Partial Least Square Regression 분석)

  • Kim, Su kyoung;Lee, Seung Ju
    • Food Engineering Progress
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    • v.14 no.1
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    • pp.75-79
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    • 2010
  • Partial least square regression (PLSR) was executed on curve data of force-deformation from back extrusion test and sensory data for commercial instant noodles. Sensory attributes considered were hardness (A), springiness (B), roughness (C), adhesiveness to teeth (D), and thickness (E). Eight and two kinds of fried and non-fried instant noodles respectively were used in the tests. Changes in weighted regression coefficients were characterized as three stages: compaction, yielding, and extrusion. Correlation coefficients appeared in the order of E>D>A>B>C, root mean square error of prediction D>C>E>B>A, and relative ability of prediction D>C>E>B>A. Overall, 'D' was the best in the correlation and prediction. 'A' with poor prediction ability but high correlation was considered good when determining the order of magnitude.

Real Effect of pH on CIE L*, a*, and b*, of Loins during 24 h Chilling of Beef Carcasses

  • Min, J.S.;Kim, I.S.;Yoon, Y.T.;Lee, M.
    • Asian-Australasian Journal of Animal Sciences
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    • v.15 no.2
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    • pp.279-282
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    • 2002
  • Twenty six male Hanwoo (Korean cattle) carcasses were measured for pH, temperature and instrumental color changes of loins during 24 h post-mortem carcass chilling at $4^{\circ}C$ in the cooler. The average internal temperature of loins was about $5^{\circ}C$ after 24 h of chilling, and with the exclusion of those with an ultimate pH>6.0 (dark-cutters), the average pH value was 5.5. When all carcasses were considered for the partial correlation coefficient between color and pH, with the temperature effect excluded, CIE $L^*$, $a^*$ and $b^*$ seemed to be affected significantly by pH during chilling process (p<0.001). However, when carcasses with dark-cutting condition were excluded, the correlation coefficients were much lower. In contrast, when the partial correlation coefficients between color and temperature, excluding the effect of pH on them, were analyzed, the relationship between color and temperature did not change much after values of DFD (dark, firm, dry) beef were excluded. The results suggested that the known interrelationship of color and pH in chilled beef loins be mainly due to the influence of temperature on pH and color.

The study of nondestructive method for measuring the acidity of the recent record paper in Hanji by using FT-NIR spectroscopy and Integrating sphere (푸리에 변환 근적외선 분광분석기(FT-NIR)와 적분구를 이용한 근대 한지 기록물의 산성도 비파괴 평가방법에 대한 연구)

  • Shin, Yong-Min;Park, Soung-Be;Kim, Chan-Bong;Lee, Seong-Uk;Cho, Won-Bo;Kim, Hyo-Jin
    • Proceedings of the Korea Technical Association of the Pulp and Paper Industry Conference
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    • 2011.10a
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    • pp.255-269
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    • 2011
  • The purpose of study has to analyze with non destructive method for researching the tool that could be measured with the status of record written on Hanji speedily. Because the original record should be destructed for analyzing with previous method in the case of the paper record, it was to develop the tool based on non destructive method for overcoming such limit. The study was used with FT NIR (Fourier transform NIR) for analyzing the Hanji for being written and preserved. The FT NIR spectrometer that of NIR spectrometer has the better performance of precision and accuracy than dispersive NIR spectrometer was used. Also the wavelength of FT-NIR was measured with 12,500 to 4,000 $cm^{-1}$, and the integrating sphere as diffuse reflectance type was used for analyzing Hanji. The moisture and acidity (pH) of chemical factors as quality evaluated factor of Hanji was studied for the correlation of NIR spectrum. And then The NIR spectrum was pretreated for showing the coefficients of optimum correlation. MSC and First derivative of Savitzky - Golay was used as pretreated method, and the coefficients of optimum correlation were shown by PLSR(Partial least square regression). And the coefficients of optimum correlation were calculated by PLSR(Partial least square regression). The correlation coefficients of acidity had 0.92 on NIR spectra without pretreatment. Also the SEP of acidity was 0.24. And then The NIR spectra with pretreatment would have more good correlation coefficients ($R^2=0.98$) and more good SEP(=019) on acidity. Therefore the data of correlation coefficients ($R^2$) and SEP with pretreatment was shown to be superior. And NIR spectra data of first derivative had best linearity on the correlation coefficients ($R^2=0.99$) and also SEP(=0.45) was superior. Therefore the correlation coefficients and SEP of first derivative had better than those of NIR spectra of no pretreatment. As such result, it was possible to evaluate the record status of Hanji speedily with integrated sphere and NIR analyzer as non destructive method.

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Mineral nutrition of the field-grown rice plant -IV. Relationship between yield, total dry matter yield and up take of N.P.K. Si in N.P.K. simple trial (포장재배수도(浦場栽培水稻)의 무기영양(無機營養) -IV 삼요소처리별(三要素處理別) 수량(收量) 및 건물생산량과 N. P. K. Si 흡수량(吸收量)과 관계(關係))

  • Park, Hoon
    • Korean Journal of Soil Science and Fertilizer
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    • v.7 no.4
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    • pp.215-220
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    • 1974
  • The relation between yield or total dry matter yield and nitrogen, phosphorus, potassium or silica uptake was investigated according to simple or multiple correlation coefficients, and multiple regression equations. 1. Simple correlation coefficient was always higher with total dry matter yield than with grain yield and highest with N in no nitrogen (0-6-8) or no fertilizer (0-0-0) plot, with P in no phosphorus plot (10-0-8) but lowest with K in no potassium plot (10-6-0). 2. Multiple correlation coefficient was always higher than simple correlation and the same is true with including Si as one more variation. There was clear trend that multiple correlation coefficient was highest in no fertilizer plot and lowest in no potassium plot. 3. Simple correlation coefficient with P was higher in the warm year in which P uptake and fertilizer-P use efficiency were higher while it with K was higher in the cool year in which K uptake and fertilizer-K use efficiency were higher. Nitrogen and silicate followed potassiuum. But partial regression coefficients of N. P. K and Si with yield were mostly significant only in the warm year. 4. Partial regression coefficient of K was negative in many cases with yield but significant positive value with total dry matter yield. 5. Partial regression coefficients of N. P and K were decreased when Si was included and the decrease was great in P. 6. With the increase of nitrogen fertilizer level partial regression coefficient was increased in N but decreased in P, and no consistency in K or Si. 7. According to single or multiple correlation coefficients and partial regression coefficients the contribution of nutrient to grain yield appears to be in the order of N > Si > P > K and to total dry matter yield in the order of N > K > Si > P, indicating that N is the main factor and others are closely related to each other throughout to N. The superiority of N was also proved by frequency pattern of relative yield.

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The Mediating Effects of Young Children's Shyness on the Relationship between Teacher-Children Relationship and Young Children's Social Competence (교사와 유아 간의 관계와 유아의 사회적 능력간의 관계에서 유아 수줍음의 매개효과)

  • No, Jin-Hee;Kim, Hee-Hwa
    • The Korean Journal of Community Living Science
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    • v.27 no.1
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    • pp.5-17
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    • 2016
  • The purpose of this study was to examine the mediating effects of young children's shyness on the relationship between teacher-children relationship and young children's social competence. The subjects of the study were 270 children from three years to five years old and their teachers in Busan. Frequency, t-test, Cronbach ${\alpha}$, Pearson's correlation coefficients, and hierarchial regression were used for data analysis. The results were as follows: first, teacher-children intimacy showed positive correlation with the young children's social competence. Teacher-children conflict showed negative correlation with the young children's social competence. Second, teacher-children intimacy showed negative correlation with the young children's shyness. Teacher-children conflict showed positive correlation with the young children's shyness. Third, young children's shyness showed negative correlation with the young children's social competence. Fourth, young children's shyness had partial mediating effects on the relationship between teacher-children intimacy and young children's sociability. Young children's shyness had partial mediating effects on the relationship between teacher-children intimacy and young children's popularity and leadership. Young children's shyness had partial mediating effects on the relationship between teacher- children conflict and young children's sociability. Young children's shyness had partial mediating effects on the relationship between teacher-children conflict and young children's popularity and leadership.

A Study on the Inference of Product Design Elements by Fuzzy Decision Making Model (퍼지 의사결정 모델에 의한 감성제품 디자인 요소의 추론에 관한 연구)

  • Yang, Seon-Mo;Lee, Sun-Yo;An, Beom-Jun
    • Journal of the Ergonomics Society of Korea
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    • v.17 no.1
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    • pp.37-46
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    • 1998
  • A human sensibility ergonomics design supporting system was applied to the product development for the customer's satisfaction based on ergonomics technology. The system is composed of three major subsystems such as customer's sensibility analysis, inference mechanism, and presentation technology. The main approaches of the system are to analyze customer's sensibilities and to translate them into product design elements. The purpose of this paper is to develop a design supporting system in which the relationship between customer's sensibility and product design elements is reasoned by a MADM(Multi-Attribute Decision Making) fuzzy model. In this model, three variables such as multiple correlation coefficients, partial correlation coefficients, and category scores were used in reasoning process. The weighted value of the words were also considered in fuzzy decision process. As a case study, the design supporting system with the MADM fuzzy model was applied to the personnel computer design.

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