• Title/Summary/Keyword: Linear correlation coefficient

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Assessing Correlation between Two Variables in Repeated Measurements using Mixed Effect Models (혼합모형을 이용한 반복 측정된 변수들 간의 상관분석)

  • Han, Kyunghwa;Jung, Inkyung
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.201-210
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    • 2015
  • Repeated measurements on each variables of interest often arise in bioscience or medical research. We need to account for correlations among repeated measurements to assess the correlation between two variables in the presence of replication. This paper reviews methods to estimate a correlation coefficient between two variables in repeated measurements using the variance-covariance matrix of linear mixed effect models. We analyze acoustic radiation force impulse imaging (ARFI) data to assess correlation between three shear wave velocity (SWV) measurements in liver or spleen and spleen length by ultrasonography. We present how to obtain parameter estimates for the variance-covariance matrix and correlations in mixed effects models using PROC MIXED in SAS.

Reliability and validity of rehabilitative ultrasound images obtained using a hands-free fixed probe in measuring the muscle structures of the tibialis anterior and the gastrocnemius

  • Choi, Mun-Sang;Shin, Jang-Hoon;Park, Hye-Kang;Lee, Wan-Hee
    • Physical Therapy Rehabilitation Science
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    • v.8 no.4
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    • pp.194-201
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    • 2019
  • Objective: This study aimed to investigate the reliability and validity of muscle thickness (MT) and pennation angle (PA) measurements of the ankle muscle, including the tibialis anterior (TA) and the medial gastrocnemius (MGCM), using a hands-free fixed probe and to compare it with the conventional linear probe. Design: Observational inter-rater reliability study. Methods: Thirty-three healthy subjects (20 male, 13 female) were included. In all subjects, ultrasound images were acquired from the TA and MGCM using a hands-free fixed probe and a conventional linear probe in random sequence by two examiners at two time-points within a 7-day interval. MT and PA were calculated on the taken images. Intra-class correlation coefficients (ICC), 95% confidence intervals, standard error of measurement and the Pearson's correlation coefficient were used to estimate reliability and validity. And also, Bland-Altman plots were generated for a visual representation of MT and PA at the TA and MGCM. Results: The ICC for all intra-rater reliability was 0.943 to 0.995 and that for all inter-rater reliability was 0.928 to 0.993, indicating excellent reliability. A significantly high correlation was observed between MT and PA at the TA and MGCM with use of the hands-free fixed probe and the conventional linear probe (r>0.938; p<0.001). Conclusions: The hands-free fixed probe provided excellent images for measurement of the MT and PA of the TA and MGCM and is a useful device for making clinical measurements of muscle structure without grasping of the probe.

The Prediction of Temperature in Composite Box Girder Bridges (합성 박스형 교량의 온도 예측)

  • Chang, Sung Pil;Im, Chang Kyun
    • Journal of Korean Society of Steel Construction
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    • v.9 no.3 s.32
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    • pp.431-440
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    • 1997
  • The paper describes a theoretical model for the prediction of bridge temperatures from meteorological data measured at bridge site and local meteorological center together with existing finite element heat transfer theory and solar radiation transfer theory to determine the time dependent temperature distribution of bridge. In this analytical model, the most adequate equation for the calculation of solar radiation on the bridge surface, which is dominant in day time is described based on the results of several experimental studies for the solar energy. The validity of this model is tested against field data obtained from long term experimental program on Sadang Viaduct in Seoul. Also, this paper describes the linear correlation between design variables and meteorological data to establish analytical criteria for the prediction of the average temperature, which are responsible for the longitudinal deformation of the bridges and of the vertical differential temperature profiles. which are responsible for the bending deformations from the long term experimental results.

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Factors Influencing Attitude toward Withdrawal of Life-Sustaining Tratment among Nursing Students (간호대학생의 연명치료중단 태도에 미치는 영향요인)

  • Yang, Seung-Ae
    • Journal of Convergence for Information Technology
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    • v.10 no.12
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    • pp.226-235
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    • 2020
  • This study aimed to identify the integral factors influencing the attitudes of nursing students toward withdrawal of life-sustaining treatments. Methods: 139 nursing students were selected from the school of nursing of a single university. Questionnaires were used as measurement tools to measure their good death recognition, attitude towards death & towards withdrawal of life-sustaining treatment. The degree of good death recognition, attitude towards death & towards withdrawal of life-sustaining treatment were analyzed using descriptive statistics. Correlation between variables was analyzed using Pearson's correlation coefficient and factors influencing the attitude towards withdrawal of life-sustaining treatment using multiple linear regression. Results: Attitude towards withdrawal of life-sustaining treatment was significantly positively correlated with good death recognition(r=.312, p=.000). As a result of multiple linear regression, good death recognition significantly influenced (β=.312, p=.000), accounting for 8.5% of the variance in attitude towards withdrawal of life-sustaining treatment. Conclusions: The results from this study can be contribute to develop educational programs to foster positive attitudes towards withdrawal of life-sustaining treatment.

Estimation of bridge displacement responses using FBG sensors and theoretical mode shapes

  • Shin, Soobong;Lee, Sun-Ung;Kim, Yuhee;Kim, Nam-Sik
    • Structural Engineering and Mechanics
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    • v.42 no.2
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    • pp.229-245
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    • 2012
  • Bridge vibration displacements have been directly measured by LVDTs (Linear Variable Differential Transformers) or laser equipment and have also been indirectly estimated by an algorithm of integrating measured acceleration. However, LVDT measurement cannot be applied for a bridge crossing over a river or channel and the laser technique cannot be applied when the weather condition is poor. Also, double integration of accelerations may cause serious numerical deviation if the initial condition or a regression process is not carefully controlled. This paper presents an algorithm of estimating bridge vibration displacements using vibration strains measured by FBG (Fiber Bragg Grating) sensors and theoretical mode shapes of a simply supported beam. Since theoretically defined mode shapes are applied, even high modes can be used regardless of the quality of the measured data. In the proposed algorithm, the number of theoretical modes is limited by the number of sensors used for a field test to prevent a mathematical rank deficiency from occurring in computing vibration displacements.89The proposed algorithm has been applied to various types of bridges and its efficacy has been verified. The closeness of the estimated vibration displacements to measured ones has been evaluated by computing the correlation coefficient and by comparing FRFs (Frequency Response Functions) and the maximum displacements.

지하수ㆍ토양의 매체별 상관성평가를 통한 토양오염저감예측

  • 이민효;윤정기;김문수;노회정;이길철;이석영
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2002.04a
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    • pp.183-186
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    • 2002
  • The objective of this study is to predict behavior of a contaminant plume and concentration of contaminants in soil through tile relations between the concentrations of contaminants in groundwater and in soil on the shallow sandy aquifer contaminated with petroleum hydrocarbons. The current state of the plume and its fate in the study area was simulated by using the MODFLOW-RT3D model and geochemical parameters of grounwater had been monitored and measured during 3 years (1999~2001). The relations between the concentrations of contaminants in each medium were taken from the investigation of site characterization conducted in 1999. Simulation results showed the center of the plume would migrate 407m twenty years later. At that time, the concentration would be decreased down to about 26 mg/$\ell$(93%). In comparison TEX concentration in the groundwater with that in the soil, the value of correlation coefficient (r=0.876) was as high as it could be used. Based on the high r-value, the linear equation was obtained from regression analysis. The results of model simulation by RT3D engine showed that the highest TEX concentration in the groundwater would be 58.8 mg/$\ell$ 16 years later, and then the TEX concentration in soil would be below the alarming level (80 mg/kg) of regulation criteria.

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A Comparative Study of Groundwater Vulnerability Assessment Methods: Application in Gumma, Korea (지하수 오염 취약성 기법의 비교 적용 연구: 충남 홍성군 금마면 일대에의 적용)

  • Ki, Min-Gyu;Yoon, Heesung;Koh, Dong-Chan;Hamm, Se-Yeong;Lee, Chung-Mo;Kim, Hyun-Su
    • Journal of Soil and Groundwater Environment
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    • v.18 no.3
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    • pp.119-133
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    • 2013
  • In the present study, several groundwater vulnerability assessment methods were applied to an agricultural area of Gumma in Korea. For the groundwater intrinsic vulnerability assessment, the performance of DRASTIC, SINTACS and GOD models was compared and an ensemble approach was suggested. M-DRASTIC and multi-linear regression (MLR) models were applied for the groundwater specific vulnerability assessment to nitrate of the study site. The correlation coefficient between the nitrate concentration and M-DRASTIC index was as low as 0.24. The result of the MLR model showed that the correlation coefficient is 0.62 and the areal extents of livestock farming and upland field are most influential factors for the nitrate contamination of groundwater in the study site.

A Statistical Analysis of Fatigue Crack Growth under Constant-Amplitude Loads (일정진폭하중하의 피로균열전파의 통계적 특성)

  • Jeong, Hyeon-Cheol;Lim, Young-Kyu;Kim, Seon-Jin
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.05a
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    • pp.104-109
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    • 2002
  • In this paper, a statistical analysis of fatigue crack growth behavior under constant amplitude loads has been carried out. Fatigue crack growth tests were conducted on sixteen pre-cracked compact tension (CT) specimens of the pressure vessel (SPV50) steel in controlled identical load and environmental conditions. The assessment of the statistical distribution of fatigue crack growth experimental data obtained from SPV50 steel was studied and also the correlation of the parameter C and m in the Paris-Erdogan law was discussed. The probability distribution function of fatigue crack growth life seems to follow the 3-parameter Weibull. The fatigue crack growth rate seems to follow the 3-parameter Weibull and the log-normal distribution. The coefficient of variation (COV) of fatigue crack growth life was observed to decrease as the crack grows. A strong negative linear correlation exists between the coefficient C and the exponent m in Paris model. Fatigue crack growth rate data shows a normal distribution for both m and logC.

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A Study of Urban Heat Island in Chuncheon Using WRF Model and Field Measurements (관측과 기상모델을 이용한 춘천지역의 도시열섬현상 연구)

  • Lee, Chong-Bum;Kim, Jea-Chul;Jang, Yun-Jung
    • Journal of Korean Society for Atmospheric Environment
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    • v.28 no.2
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    • pp.119-130
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    • 2012
  • Heat island phenomena in Chuncheon (Korea) were investigated using air temperature measured by automatic weather stations and temperature dataloggers located at rural and urban sites. Numerical simulation of the phenomena was performed using Weather Research and Forecasting Urban Canopy Model (WRF-UCM) and results were compared with the observation. The model was initialized with NCEP/FNL data. The horizontal resolution of the fine domain is 0.33 km. The results of observational analyses show that the intensity of heat island was significantly higher during the nighttime than during the daytime. The highest measured temperature difference between rural and urban site is $3.49^{\circ}C$ and average temperature difference varies between 1.4 and $1.9^{\circ}C$. Good agreement was found between the simulated and observed temperatures. However, significantly overestimated wind speed was found at the urban sites. The linear regression analysis between observed and simulated temperature shows high correlation coefficient 0.96 for urban and 0.94 for rural sites while for wind speed, a very low correlation coefficient was found, 0.30 and 0.55 respectively.

Traitor Traceability of Colluded Multimedia Fingerprinting code Using Hamming Distance on XOR Collusion Attack (XOR 공모공격에서 해밍거리를 이용한 공모된 멀티미디어 핑거프린팅 코드의 부정자 추적)

  • Chung, Il Yong;Rhee, Kang Hyeon
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.175-180
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    • 2013
  • For the traitor tracing of multimedia content, this paper presents the classification algorithm of XOR collusion attack types using hamming distance, which applies to the colluded fingerprinting codes. The conventional traitor decision hinges on the colluded fingerprinting code used by a correlation coefficient, but the proposed scheme uses hamming distance. While XOR collusion attack employing a correlation coefficient is impossible to trace the traitors about 50% colluders due to a serious XOR linear problem, our method improves the performance of traceability to trace at least 1 traitor using hamming distance, and thus, the functional behavior of the proposed traitor traceability is coincided with Probability Scheme.