• Title/Summary/Keyword: correlation coefficients

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EWMA Control Charts to Monitor Correlation Coefficients

  • Chang, Duk-Joon;Cho, Gyo-Young;Lee, Jae-Man
    • Communications for Statistical Applications and Methods
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    • v.6 no.2
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    • pp.413-422
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    • 1999
  • Multivariate EWMA control charts to simultaneously monitor correlation coefficients of correlated quality characteristics under multivariate normal process are proposed. Performances of the proposed charts are measured in terms of average run length(ARL). Numerical results show that smalle values for smoothing constant with accumulate-combine approach are preferred for detecting smalle shifts.

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UPPER BOUNDS FOR THE AUTOCORRELATION COEEFFICIENTS OF THE RUDIN-SHAPIRO POLYNOMIALS

  • Taghavi, M
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.39-46
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    • 1997
  • Given to be the $m^{th}$ correlation coefficient of the Rudin-Shapiro polynomials of degrees $2^n-1$, $$\mid$a_m$\mid$ \leq C(2^n)^{\frac{3}{4}}$ and there exists $\kappa \neq 0$ such that $$\mid$a_{\kappa}$\mid$ >D(2^n)^{0.73}$ (C and D are universal constants). Here we show that the 0.73 is optimal in the upper vound case.

Control Chart for Correlation Coefficients of Correlated Quality Variables

  • Kim, Jae-Joo;Chang, Duk-Joon
    • Journal of Korean Society for Quality Management
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    • v.26 no.2
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    • pp.51-60
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    • 1998
  • Exponetially weighted moving average(EWMA) control chart to simultaneously monitor correlation coefficients of several correlated quality variables under multivariate normal process are proposed. Performances of the proposed control charts are measured in terms of average run length(ARL) by simulation. Numerical results show that smaller values of smoothing constant are more efficient in terms of ARL.

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A Study on Correlation Coefficients between Lumbosacral Balance and Low Back Pain (요천추부의 정렬과 설문을 통한 요통 자각도의 상호 연관성에 관한 연구)

  • Lee, Dong-Eun;Kim, Hyung-Kil;Cho, Woong-Hee;Park, Won-Hyung;Cha, Yun-Yeop
    • Journal of Korean Medicine Rehabilitation
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    • v.21 no.1
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    • pp.115-123
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    • 2011
  • Objectives : This study was designed to investigate the correlation coefficients among Oswestry low-back pain disability index(ODI), Roland-Morris disability questionnaire (RMD), visual analogue scale(VAS), lumbar lordosis angle(LLA), Cobb's angle and Ferguson's angle(FA). Methods : We measured LLA, Cobb's angle, and FA of 42 students. Then we researched ODI, RMD and VAS of all students, and analyzed correlations coefficient among all of them. Results : 1. There was significant correlation among VAS, RMD, ODI. 2. There was significant correlation between ODI and Cobb's angle. 3. There was no significant correlation between LLA, FA, Cobb's angle and VAS. 4. There was no significant correlation among LLA, FA, Cobb's angle and RMD. Conclusions : According to above results, there was no significant correlation between lumbosacral balance and low back pain except between ODI and Cobb's angle. On the other hand, there was significant correlation among RMD, ODI and VAS.

A Study on the Analysis of the Relationship between Sea Surface Temperature and Monthly Rainfall (해수면온도와 우리나라 월강우량과의 관계분석에 관한 연구)

  • Oh, Tae-Suk;Moon, Young-Il
    • Journal of Korea Water Resources Association
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    • v.43 no.5
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    • pp.471-482
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    • 2010
  • Rainfall events in the hydrologic circulation are closely related with various meteorological factors. Therefore, in this research, correlation relationship was analyzed between sea surface temperature of typical meteorological factor and monthly rainfall on Korean peninsula. The cluster analysis was performed monthly average rainfall data, longitude and latitude observed by rainfall observatory in Korea. Results from cluster analysis using monthly rainfall data in South Korea were divided into 4 regions. The principal components of monthly rainfall data were extracted from rainfall stations separated cluster regions. A correlation analysis was performed with extracted principal components and sea surface temperatures. At the results of correlation analysis, positive correlation coefficients were larger than negative correlation coefficients. In addition, The 3 month of principal components on monthly rainfall predicted by locally weighted polynomial regression using observed data of sea surface temperature where biggest correlation coefficients have. The result of forecasting through the locally weighted polynomial regression was revealed differences in accuracy. But, this methods in the research can be analyzed for forecasting about monthly rainfall data. Therefore, continuous research need through hydrological meteorological factors like a sea surface temperature about forecasting of the rainfall events.

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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Study on the evaporation Heat Transfer Characteristics of R-134a in Small Diameter Tubes

  • Roh, Geon-Sang;Oh, Hoo-Kyu
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.3
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    • pp.224-234
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    • 2007
  • Large diameter tubes have been used until comparatively lately. However, small diameter tubes are largely used because of their high efficiency in heat transfer and low cost, recently. This study focuses on the experimental research of the heat transfer coefficients during evaporation process of R-22 and R-134a in small diameter tubes. The evaporation heat transfer coefficients were measured in smooth horizontal copper tubes with ID 1.77, 3.36 and 5.35 mm. The evaporation heat transfer coefficients in the small diameter tubes (ID <7 mm) were observed to be strongly affected by the size of tube diameters and to differ from those of general predictions in the large diameter tubes. The heat transfer coefficients of ID 1.77 mm copper tube were higher by 20 and 30 % than those of ID 3.36 mm, ID 5.35 mm copper tubes respectively. Also, it was found that it was very difficult to apply some well-known previous predictions (Shah's, Jung's. Kandlikar's and Oh-Katsuda's correlation) to small diameter tubes. Based on the data, the new correlation is proposed to predict the evaporation heat transfer coefficients of R-22 and R-134a in small diameter tubes.

Hydraulic Characteristics of Bocheong Stream Basin (보청천 유역의 수리학적 특성분석)

  • Jeon, Min-Woo;Yeon, Gyu-Bang;Cho, Young-Soo;Kim, Chong-Hoon
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.1311-1315
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    • 2009
  • Understanding of the hydraulics of flow is very important to support the management of river. The cross-sectional area, average velocity, flow depth and discharge can be regarded as a power function each other. In this paper the flow of Bocheong stream basin is experimentally studied. The correlation analysis was performed between observed hydraulic factors by the power type function. The constants resulted from the correlation analysis were calculated by the geomorphologic characteristics of the watershed using the power type function. The correlation coefficients between the hydraulic factors were appeared close to unit having strong correlationship. The two conditions of equality of the continuity equation were analysed, and the conditions were found to be good results. From these results the observed hydraulic data of Bocheong stream basin can be concluded as a reliable data. The correlation coefficients between the parameters of the hydraulic characteristics and geomorphologic factors were found to be close to unit.

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Study on the Single-Phase Heat Transfer and Pressure Drop Characteristics of R-718 in Small Diameter Tubes (세관 내 R-718의 단상 열전달 및 압력강하 특성에 관한 연구)

  • 박기원;권옥배;홍진우;손창효;오후규
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.3
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    • pp.522-530
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    • 2004
  • Single-phase heat transfer coefficients and pressure drops of R-718 were measured in smooth, horizontal copper tubes with inner diameters of 3.36 ㎜, 5.35 ㎜. 6.54 ㎜ and 8.12 ㎜, respectively. The experiments were conducted in the closed loop, which was driven by a magnetic gear pump. Data are presented for the following range of variables : Reynolds from 1000 to 20000. Single-phase heat transfer coefficients increased by 10∼30 % as the inner diameter of tube was reduced and it was found that a well-known previous correlation, Gnielinski's correlation was not suitable for the small diameter tubes. But the pressure drop in the small diameter tubes have been shown slightly deviations with Blauius' correlation. Based on an analogy between heat and mass transfer. the new heat transfer correlation is proposed to predict the experimental data successfully.

Substituent Chemical Shifts of (E)-1-Aryl-3-thienylpropen-1-ones

  • HanLee, In-Sook;Jeon, Hyun-Ju;Yu, Ji-Sook;Lee, Chang-Kiu
    • Bulletin of the Korean Chemical Society
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    • v.31 no.6
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    • pp.1689-1694
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    • 2010
  • Substituent chemical shifts were examined for the 2- and 3-thiophene derivatives of chalcone and compared to the thiophene series of derivatives with the phenyl series. The chemical shift values for the ${\alpha}$-carbons of the enones showed and inverse correlation with the Hammett $\sigma$ values, but the correlation coefficients were moderate (r = 0.836 - 0.878). On the other hand, the $\beta$-carbons showed a normal correlation with excellent correlation coefficients (r = 0.994). The absolute magnitude of the $\rho$ values for the $\alpha$-carbon are about half of those of the $\beta$-carbon. The observation may be the result of a through-space transition of the electronic effect of the substituents in addition to the through bond transition.