• Title/Summary/Keyword: regression formulas

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Total Body Fat Estimation by Means of Densitometry and Skinfold Thickness in Middle-Aged Men (밀도법 및 피부두겹법에 의한 중년 남자의 총지방량 측정)

  • Nam, Kwang-Hyun;Shin, Dong-Hoon
    • The Korean Journal of Physiology
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    • v.8 no.1
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    • pp.31-37
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    • 1974
  • Formulas for the prediction of total body fat from skinfold thickness in middle aged men were presented. Hydrostatic weighing was made on 35 middle-aged men $(age:\;40{\sim}50\;years)$ sad corrected for residual volume in lung. Skinfold thickness at four sites, namely, arm, back, waist and abdomen were compared with total fat calculated from the formula given by Keys and Brozek and regression equations were derived. In middle-aged men the observed values were: Body density, 1.07478 ; total body fat, 10.51% body weight; lean body mass, 89.49% body weight; arm skinfold thickness, 4.85mm; back, 10.4 ; waist, 7.72; abdomen, 7.62 and mean skinfold thickness of the four sites, 7.59 mm. The correlations between skinfold thickness and body density were high. The correlations between skinfold thickness and total body fat were also high. The coefficient of correlation between total body fat and arm skinfold, mean skinfold thickness were r=0.839 and r=0.862, respectively. Arm and mean skinfold thicknesses (x, mm) could be used as the representative value for the prediction of total body fat (y, % body weight). The regression equations were: On arm y=2.00x+0.99, With mean skinfold y=1.20x+1.41 The coefficient of correlation between body weight (kg) and mean skinfold thickness was r=0.733. The ratio of mean skinfold thickness (mm) to body weight (kg) in middle-aged men was 0.132.

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Correlations Between the Physical Properties and Consolidation Parameter of West Shore Clay (서해안 점토의 물리적 특성과 압밀정수의 상관성)

  • Heo, Yeol;Hwang, Insang;Kang, Changwoo;Bae, Wooseok
    • Journal of the Korean GEO-environmental Society
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    • v.16 no.4
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    • pp.33-40
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    • 2015
  • In the correlation formulas related to consolidation proposed at present, the analyzed areas are limited to certain overseas or domestic areas and in order to increase the number of data, experimental data of different areas are integrated and therefore in many cases application is difficult. In addition, models have been developed without clear statistic evaluation of the obtained data. Accordingly, this study divided the soft areas of the west coast into Hangang, Kumgang and Yeongsangang in order to maximally reduce uncertainty of the experimental data and performed normality test and regression analysis on the physical and dynamic characteristics. According to the analysis result, the compression index and the modified compression index had strong linearity and in all areas modified compression index and initial void ratio had closest correlation, followed by total unit weight, water contents and liquid limits. As for overconsolidation ratio with depth, the width of overconsolidation ratio was large when the depth was less than 5 to 6 m in all areas and when the depth was over 5 to 6 m, the ratio was constant.

Estimation of Synthetic Unit Hydrograph Using Geospatial Shape Factors and Nash Model in Mid-size Watershed (중소규모유역의 지형공간적 형상계수를 이용한 Nash 모형기반의 합성단위도 산정)

  • Kim, Jin Gyeom;Kim, Jong Min;Kang, Boo Sik
    • Journal of Korea Water Resources Association
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    • v.46 no.5
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    • pp.547-558
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    • 2013
  • Improved methodology of Synthetic Unit Hydrograph (SUH) utilized generally in hydrologic design work was suggested. In this study, regression analysis between peak hydrological data and geospatial data was applied to estimate specific peak flow and peak time for determining shape of SUH. Regression formulas for specific peak flow with respect to shape factors show higher coefficient of determination (0.73~0.81) than the ones with geospatial components only (0.52~0.69). The areal limitation of unit hydrograph application is regarded as 500~700 $km^2$. The validation through rainfall-runoff simulation shows encouraging results that relative error is 1.7~29.0%(Avg. 11.6%) for the case of using SUH developed in this study and 35.0~ 64.9% (Avg. 46.7%) for the SUH in the previous study except for the extraordinary cases.

An Estimation of Discharge Coefficients with the Variations of Side Weir Shape (횡월류위어의 형상에 따른 유량자수 추정)

  • Song, Jai-Woo;Park, Sung-Sik;Kim, Ji-Ho
    • Journal of Korea Water Resources Association
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    • v.40 no.1 s.174
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    • pp.51-62
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    • 2007
  • To estimate more accurately the outflow over a sharp crested side weir, it is necessary to analyze the flow characteristics over side weir and to estimate the discharge coefficient in the weir equation. The purpose of this study is to estimate the discharge coefficients of sharp crested rectangular and triangular side weirs by means of hydraulic model experiments with the variations of upstream Froude number in the main channel and length and apex angle. Experimental results show that the discharge coefficients depend on the shape and geometric conditions of side weir as well as the upstream Froude number in the main channel. Through the multiple regression analysis, formulas of discharge coefficient for rectangular and triangular types are proposed and its applicability is confirmed by comparing estimated and measured discharges over side weirs.

Development of Formulas for the Estimation of Renal Depth and Application in the Measurement of Glomerular Filtration Rate in Koreans (사구체 여과율 측정을 위한 한국인의 신장 깊이에 관한 방정식 도출과 이용)

  • Yoo, Ie-Ryung;Kim, Sung-Hoon;Chung, Yong-An;Jung, Hyun-Seok;Lee, Hae-Giu;Park, Young-Ha;Lee, Sung-Yong;Sohn, Hyung-Seon;Chung, Soo-Kyo;Kim, Hyun-Mi;Lee, Hyung-Goo
    • The Korean Journal of Nuclear Medicine
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    • v.34 no.5
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    • pp.418-425
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    • 2000
  • Purpose: There is no established formula for estimating renal depths in Korean. As a result, we undertook this study to develop a new formula, and to apply this formula in the calculation of glomerular filtration rate (GFR). Materials and Methods: We measured the renal depth (RD) on the abdominal CT obtained in 300 adults (M:F: 167:133, mean age 50.9 years) without known renal diseases. The RDs measured by CT were compared with the estimated RDs based on the Tonnesen and Taylor equations. New formulas were derived from the measured RDs in 200 out of 300 patients based on several variables such as sex, age, weight, and height by multiple regression analysis. The RDs estimated from the new formulas were compared with the measured RDs in the remaining 100 patients as a control. In 48 patients who underwent Tc-99m DTPA renal scintigraphy, GFR was measured with three equations (new formula, Tonnesen and Taylor equations), respectively, and compared with each other. Results: The mean values of the RDs measured from CT were 6.9 cm for right kidney of the men (MRK), 6.7 cm for left kidney of the men (MLK), 6.7 cm for right kidney of the women (WRK), and 6.6 cm for left kidney of the women (WLK). The RDs estimated from Tonnesen equation were shorter than the ones measured from CT significantly. The newly derived formulas were 12.813 (weight/height)+0.002 (age)+ 2.264 for MRK, 15.344 (weight/height)+0.011 (age)+0.557 for MLK, 12.936 (weight/height)+ 0.014 (age)+1.462 for WRK and 13.488 (weight/height)+0.019 (age)+0.762 for WLK. The correlation coefficients of the RD measured from CT and estimated from the new formula were 0.529 in MRK, 0.729 in MLK, 0.601 in WRK, and 0.724 in WLK, respectively. The GFRs from the new formula were significantly higher than those from the Tonnesen equation significantly, which was the most similar to normal GFR values. Conclusion: We generated new formulas for estimating RD in Korean from the data by CT. By adopting these formulas, we expect that GFR can be measured by the Gates method accurately in Korean.

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Natural Frequency of Tall Building Through Ambient Vibration Measurement (고층건물의 상시진동계측을 통한 고유진동수)

  • Yoon, Sung Won;Ju, Young Kyu
    • Journal of Korean Society of Steel Construction
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    • v.15 no.2
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    • pp.117-124
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    • 2003
  • Wind-induced motions, like acceleration for instance, often influence designs for high-rise buildings. As a consequence, correct assessment of natural frequency becomes important. The empirical expressions used to quantify this parameter at the design phase tend to yield values that are significantly different from each other. This paper is concerned with the natural periods of steel buildings. It describes the vibration measurement methods that were employed for testing buildings. This paper will also present reliable methods of assessing the natural period from ambient vibration tests. Data from measurements on 21 buildings in Seoul were provided while 21 buildings were tested by ambient vibration measurements to obtain the natural periods. While regression formulas of natural periods for steel-frarried tall buildings were suggested,the obtained formula was compared with the empirical expressions of structural standards and the Eigen-value analysis.

VALIDATION OF ON-LINE MONITORING TECHNIQUES TO NUCLEAR PLANT DATA

  • Garvey, Jamie;Garvey, Dustin;Seibert, Rebecca;Hines, J. Wesley
    • Nuclear Engineering and Technology
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    • v.39 no.2
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    • pp.133-142
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    • 2007
  • The Electric Power Research Institute (EPRI) demonstrated a method for monitoring the performance of instrument channels in Topical Report (TR) 104965, 'On-Line Monitoring of Instrument Channel Performance.' This paper presents the results of several models originally developed by EPRI to monitor three nuclear plant sensor sets: Pressurizer Level, Reactor Protection System (RPS) Loop A, and Reactor Coolant System (RCS) Loop A Steam Generator (SG) Level. The sensor sets investigated include one redundant sensor model and two non-redundant sensor models. Each model employs an Auto-Associative Kernel Regression (AAKR) model architecture to predict correct sensor behavior. Performance of each of the developed models is evaluated using four metrics: accuracy, auto-sensitivity, cross-sensitivity, and newly developed Error Uncertainty Limit Monitoring (EULM) detectability. The uncertainty estimate for each model is also calculated through two methods: analytic formulas and Monte Carlo estimation. The uncertainty estimates are verified by calculating confidence interval coverages to assure that 95% of the measured data fall within the confidence intervals. The model performance evaluation identified the Pressurizer Level model as acceptable for on-line monitoring (OLM) implementation. The other two models, RPS Loop A and RCS Loop A SG Level, highlight two common problems that occur in model development and evaluation, namely faulty data and poor signal selection

A comparison of formulas to predict a team's winning percentage in Korean pro-baseball (한국프로야구에서 승률 추정방법들의 비교)

  • Lee, Jang Taek
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.6
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    • pp.1585-1592
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    • 2016
  • Estimation of winning percentage in baseball has always been particularly interesting to many baseball fans. We have fitted models including linear regression and Pythagorean formula to the Korean baseball data of seasons from 1982 to 2015. Using RMSE criterion for both the linear formula and the Pythagorean formula, we compared two models in predicting the actual winning percentage. Pythagorean expectation is superior to linear formula when there is either high or low winning percentage. Two methods yield very similar efficiencies when the actual winning percentage is about 50%. To understand and use for estimating winning percentage, it is easier linear formula as estimated equations.

The Properties of Concrete mixed with Steam Aging Converter slag (증기 에이징을 실시한 전로슬래그 콘크리트의 특성)

  • 곽기주;손순종;서병철;곽동림
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.5
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    • pp.43-52
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    • 1995
  • To examine the appicability of the converter slag to aggregate, tests were performed for the converter slag specimens which were aged with steam, and the stability of expansion was investigated. The strength of the converter slag was found to he lower than that of the natural aggregate. But the strength of the concrete mixed with the converter slag and the granular slag was increased with an increase of the content of the granular slag. The slump value was larger for the specimen of the converter slag than that for the natural aggregate. The specific weight of the converter slag was decreased with an increase of the aging peroid. The aging time for the converter slag was accessed to be about 48 hours to accommodate the full stability of the expansion. The amount of the steam needed to age one ton of converter slag to full expansion was accessed to be 60 kg. From the regression analysis for splitting tensile strength (t), and flexural strength (f), the compressive strength (c) based on the following formulas were proposed $\sigma$t=0.1506 $\sigma$c+4.5(kg/cm$^2$) (r=0.876) $\sigma$f=O.l537.~+30.5(kg/cm$^2$) (r=0.796)

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A parameter calibration method for PFC simulation: Development and a case study of limestone

  • Xu, Z.H.;Wang, W.Y.;Lin, P.;Xiong, Y.;Liu, Z.Y.;He, S.J.
    • Geomechanics and Engineering
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    • v.22 no.1
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    • pp.97-108
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    • 2020
  • The time-consuming and less objectivity are the main problems of conventional micromechanical parameters calibration method of Particle Flow Code simulations. Thus this study aims to address these two limitation of the conventional "trial-and-error" method. A new calibration method for the linear parallel bond model (CM-LPBM) is proposed. First, numerical simulations are conducted based on the results of the uniaxial compression tests on limestone. The macroscopic response of the numerical model agrees well with the results of the uniaxial compression tests. To reduce the number of the independent micromechanical parameters, numerical simulations are then carried out. Based on the results of the orthogonal experiments and the multi-factor variance analysis, main micromechanical parameters affecting the macro parameters of rocks are proposed. The macro-micro parameter functions are ultimately established using multiple linear regression, and the iteration correction formulas of the micromechanical parameters are obtained. To further verify the validity of the proposed method, a case study is carried out. The error between the macro mechanical response and the numerical results is less than 5%. Hence the calibration method, i.e., the CM-LPBM, is reliable for obtaining the micromechanical parameters quickly and accurately, providing reference for the calibration of micromechanical parameters.