• Title/Summary/Keyword: Percentiles

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Forcing a Closer Fit in the Lower Tails of a Distribution for Better Estimating Extremely Small Percentiles of Strengths

  • Guess, Frank-M.;Leon, Ramon-V.;Chen, Weiwei;Young, Timothy-M.
    • International Journal of Reliability and Applications
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    • v.5 no.4
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    • pp.129-145
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    • 2004
  • We use a novel, forced censoring technique that closer fits the lower tails of strenth distributions to better estimate extremly smaller percentiles for measuring progress in continuous improvement initiatives. These percentiles are of greater interest for companies, government oversight organizations, and consumers concerned with safely and preventing accidents for many products in general, but specifically for medium density fiberboard (MDF). The international industrial standard for MDF for measuring highest quality is internal bond (IB, also called tensile strengh) and its smaller percentiles are crucial, especially the first percentile and lower ones. We induce censoring at a value just above the median to weight lower observations more. Using this approach, we have better fits in the lower tails of the distribution, where these samller percentiles are impacted most. Finally, bootstrap estimates of the small percentiles are used to demonstrate improved intervals by our forced censoring approach and the fitted model. There was evidence from the study to suggest that MDF has potentially different failure modes for early failures. Overall, our approach is parsimonious and is suitable for real time manufacturing settings. The approach works for either strengths distributions or lifetime distributions.

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An Estimation of Comfort on the Automobile Driver Seat Korean Anthropometric Experiment (한국인 인체측정 실험에 의한 자동차 운전석의 안락감 평가)

  • 이영신;이석기;박세진
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.3
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    • pp.61-72
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    • 1996
  • In this paper, the driver seat comfort of eight automobiles was studied. The joint angles and anthropometric data of eleven subjects sitting on the seating buck were investigated using the instrument devices such as scale, goniometer, vernier calipers, protractor, Martin set. The joint angles of the most comfort posture were found by experiment and compared with previous studies. The anthropometric data of Korean(1992 year surveys) and American(1970∼1974 year) were applied to evaluate the driver seat layout of Korean automobile. The joint angles of the most comfort posture for eleven subjects were obtained with experimental results. The joint angles were agreed with reference angles. The driver seat layout was not suited to seat length and acceleratorseatpan forward distance in 5 percentiles female, pedal separation and seatpan-roof height in 95 percentiles male. Korean automobiles were not suited to seatpan length and steering wheelseatpan clearance, floor-roof height for American 95 percentiles male. The driver anthropometric dimensions were more suitable to middle size than small size automobiles.

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Percentile of Body Fat Percentage for Diagnose Obese Among Selected Number of Preschool Children in Yangsan (우리나라 학동전기 아동에서 비만진단을 위한 체지방률 백분위수)

  • Jeong, Min-Jeong;Yun, Young-Ju;Kim, Bong-Hyun;Kim, Ki-Bong
    • The Journal of Pediatrics of Korean Medicine
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    • v.25 no.1
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    • pp.82-89
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    • 2011
  • Objectives: This study was designed to regulate the percentile of body fat percentage by Bioelectrical Impedence Analysis (BIA) in order to detect overweight and obesity in preschool children. Methods 1301 three to six year old children's height, weight, and body fat percentage using BIA was measured. Results: The percent of the boys with 85th percentiles of the body fat percentage were 22.3%(3years), 23.4%(3.5years), 23.9%(4years), 24.8%(4.5years), 22.8%(5years), 24.6%(5.5years) and 23.8%(6years). The percent of the girls with 95th percentiles of the body fat percentage were 24.9%(3years), 27.5%(3.5years), 27.3%(4years), 28.6%(4.5years), 28.1%(5years), 33.3%(5.5years) and 32.7%(6years). For the girls, the percent of girls with 85th percentiles of body fat percentage were 23.3%(3years), 24.4%(3.5years), 23.6%(4years), 23.7%(4.5years), 24.7%(5years), 26.0%(5.5years) and 28.1%(6years). And the 95th percentiles of the body fat percentage were 28.6%(3years), 27.3%(3.5years), 25.4%(4years), 28.0%(4.5years), 31.7%(5years), 33.5%(5.5years) and 36.4%(6years). Conclusions: The 85th percentiles of body fat percentage to classify as overweight and the 95th percentiles of body fat percentage to classify as obesity were accord with the Body Mass Index (BMI) criteria by the Korean pediatrics society in 2007.

Determining proper threshold levels for hydrological drought analysis based on independent tests (수문학적 가뭄 특성 분석을 위한 독립성 검정 기반의 적정 임계수준 결정)

  • Kim, Tae-Woong;Park, Ji Yeon;Shin, Ji Yae
    • Journal of Korea Water Resources Association
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    • v.53 no.3
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    • pp.193-200
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    • 2020
  • Hydrological drought is directly associated with lack of available water in rivers, reservoirs, and groundwater. It is important to analyze hydrological drought for efficient water resource management because most of rainfall is concentrated in wet seasons and water supply is highly dependent on dams and reservoirs in South Korea. Generally, a threshold level method is useful for defining hydrological droughts. However, this method causes interdependent problems between drought events which result in skewed results in further statistical analysis. Therefore, it is necessary to determine a proper threshold level to represent regional drought characteristics. In this study, applying 50~99 percentiles of daily flow-duration curve, hydrological drought events were extracted, and independence tests were conducted for 12 watersheds. The Poisson independence test showed that 87~99 percentiles were available for most stations except for Yeoju and Pyeongtaek. The generalized Pareto independence test showed that 80~90 percentiles were the most common. Mean excess plot showed that 80 ~ 90 percentiles were the most common. Therefore, the common ranges of the three independent tests were determined for each station and proper threshold levels were recommended for large river basins; 70~76 percentiles for the Han River basin, 87~91 percentiles for the Nakdong River basin, 86~98 percentiles for the Geum River basin, and 85~87 percentiles for the Youngsan and Seomjin River basin.

Percetiles for the distributions belonging to the natural exponential families having power variance functions (파워(>2)분산함수를 가진 자연지수계열군에 속하는 분포들의 백분위수)

  • 서의훈
    • The Korean Journal of Applied Statistics
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    • v.8 no.1
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    • pp.133-149
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    • 1995
  • Since probability density functions for the distributions belonging to the natural exponential families having power(>2) variance functions are expressed as infinite series, it is very difficult to deal with the distributins in spite of their usefulness. Therefore, tables for the percentiles of the distributions are obtained, and approximate percentiles are also obtained in this thesis. It is shown that the approximate percentiles can replace exact percentlies well for some distributions.

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Prediction of Stand Structure Dynamics for Unthinned Slash Pine Plantations

  • Lee, Young-Jin;Cho, Hyun-Je;Hong, Sung-Cheon
    • The Korean Journal of Ecology
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    • v.23 no.6
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    • pp.435-438
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    • 2000
  • Diameter distributions describe forest stand structure information. Prediction equations for percentiles of diameter distribution and parameter recovery procedures for the Weibull distribution function based on four percentile equations were applied to develop prediction system of even-aged slash pine stand structure development in terms of the number of stems per diameter class changes. Four percentiles of the cumulative diameter distribution were predicted as a function of stand characteristics. The predicted diameter distributions were tested against the observed diameter distributions using the Kolmogorov-Smirnov two sample test at the ${\alpha}$=0.05 level. Statistically, no significant differences were detected based on the data from 236 evaluation data sets. This stand level diameter distribution prediction system will be useful in slash pine stand structure modeling and in updating forest inventories for the long-term forest management planning.

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Comparison of Normative Percentiles of Brain Volume Obtained from NeuroQuant vs. DeepBrain in the Korean Population: Correlation with Cranial Shape (한국 인구에서 NeuroQuant와 DeepBrain에서 측정된 뇌 용적의 정상규준 백분위수 비교: 두개골 형태와의 연관성)

  • Mi Hyun Yang;Eun Hee Kim;Eun Sun Choi;Hongseok Ko
    • Journal of the Korean Society of Radiology
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    • v.84 no.5
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    • pp.1080-1090
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    • 2023
  • Purpose This study aimed to compare the volume and normative percentiles of brain volumetry in the Korean population using quantitative brain volumetric MRI analysis tools NeuroQuant (NQ) and DeepBrain (DB), and to evaluate whether the differences in the normative percentiles of brain volumetry between the two tools is related to cranial shape. Materials and Methods In this retrospective study, we analyzed the brain volume reports obtained from NQ and DB in 163 participants without gross structural brain abnormalities. We measured threedimensional diameters to evaluate the cranial shape on T1-weighted images. Statistical analyses were performed using intra-class correlation coefficients and linear correlations. Results The mean normative percentiles of the thalamus (90.8 vs. 63.3 percentile), putamen (90.0 vs. 60.0 percentile), and parietal lobe (80.1 vs. 74.1 percentile) were larger in the NQ group than in the DB group, whereas that of the occipital lobe (18.4 vs. 68.5 percentile) was smaller in the NQ group than in the DB group. We found a significant correlation between the mean normative percentiles obtained from the NQ and cranial shape: the mean normative percentile of the occipital lobe increased with the anteroposterior diameter and decreased with the craniocaudal diameter. Conclusion The mean normative percentiles obtained from NQ and DB differed significantly for many brain regions, and these differences may be related to cranial shape.

Development of Methods of Constructing Family of Manikin (마네킨 설계 파라메타 분석연구)

  • Kim, Jin-Ho;Whang, Min-Cheol
    • Journal of Korean Institute of Industrial Engineers
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    • v.22 no.4
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    • pp.663-675
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    • 1996
  • Equipment designer should consider how many people and what range of percentiles will be used as design criteria. The usual practice is to select some large range of the accommodation, such as 5th-95th percentiles. There is difficulty in defining 95% accommodation of population in complex design problems which involve several body dimensions. This paper develops the methods of constructing family of manikins which are validated for population accommodation. They are analyzed by the interactions or relationships between body dimensions. Proposed manikin family represents multivariate body dimensions. Moreover, nine manikin families are determined for representative Korean of 30-50 aged by proposed manikin family. Their 2-D CAD modelings are developed for bio-mechanical and ergonomic applications.

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Linear and Nonlinear Trends of Extreme Temperatures in Korea (한반도 극한 기온의 선형 및 비선형 변화 경향)

  • Kim, Sang-Wook;Song, Kanghyun;Kim, Seo-Yeon;Son, Seok-Woo;Franzke, C.
    • Atmosphere
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    • v.24 no.3
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    • pp.379-390
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    • 2014
  • This study explores the long-term trends of surface air temperatures in 11 KMA stations over the period of 1960~2012. Both linear and nonlinear trends are examined for the $95^{th}$, $50^{th}$, and $5^{th}$ percentiles of daily maximum ($T_{max}$) and minimum temperatures ($T_{min}$) by using quantile regression method. It is found that in most stations linear trends of $T_{max}$ and $T_{min}$ are generally stronger in winter than in summer, and warming trend of the $5^{th}$ percentile temperature (cold extreme) is stronger than that of the $95^{th}$ percentile temperature (warm extreme) in both seasons. The nonlinear trends, which are evaluated by the second order polynomial fitting, show a strong nonlinearity in winter. Specifically, winter temperatures have increased until 2000s but slightly decreased afterward in all percentiles. This contrasts with the $95^{th}$ and $50^{th}$ percentiles of summer $T_{min}$ that show a decreasing trend until 1980s then an increasing trend. While this result is consistent with a seasonal dependence of the recent global warming hiatus, most of the nonlinear trends are statistically insignificant, making a quantitative attribution of nonlinear temperature trends challenging.

A Clinical Study on Growth of Children Based on Analyzing Body compositions And Measuring Bone Age (체성분 분석과 골연령 측정을 통한 취학 전 아동의 성장에 대한 임상연구)

  • Yun, Hye-Jin;Lee, Yu-Jin;Han, Baek-Jung
    • The Journal of Pediatrics of Korean Medicine
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    • v.23 no.2
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    • pp.131-144
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    • 2009
  • Objectives : The purpose of this study is to have better data and to make efficient clinical reviews on pre-school children's growth based on two measurements; Body composition for measuring body volume and bone age for potential growth. Methods : The study was conducted with 221 children(118 of boys and 103 of girls) from three kindergartens. Body compositions(soft lean mass, body fat mass, percent body fat) were measured by bioelectrical impedance analysis, bone age was measured by bone density through ultrasonic image of calcaneus. Results and Conclusions : 1. The higher level on weight or BMI, the more averages of soft lean mass, body fat mass, percent body fat. 2. The average bone ages and bone age-chronological age were lower in under 50 percentile's group, but it was higher in upper 50 percentile's group. Also, children with high BMI had older in bone ages and bone age-chronological age. 3. The higher in height percentile based on the bone age; there were more soft lean mass. 4. The averages of bone age and bone age-chronological age were significantly decreased, the more percentiles of height according to bone age were big, they were higher than total average in under 50 percentile's group of height, lower than total average in over 50 percentile's group of height in both boys and girls. 5. The average of MPH were significantly decreased in top percentiles of children's height distribution. Also, in the upper percentiles of height distribution based on bone age were big in only boys. 6. The body compositions(soft lean mass, body fat mass, percent body fat) were related to body volume growth, which can he measured by weight or BMI. The bone age, bone age-chronological age, and MPH were related in terms of hight. The body volume growth was a little hit related with potential growth.

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