• 제목/요약/키워드: Normal linear regression model

검색결과 86건 처리시간 0.029초

Prediction of Cobb-angle for Monitoring System in Adolescent Girls with Idiopathic Scoliosis using Multiple Regression Analysis

  • Seo, Eun Ji;Choi, Ahnryul;Oh, Seung Eel;Park, Hyun Joon;Lee, Dong Jun;Mun, Joung H.
    • Journal of Biosystems Engineering
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    • 제38권1호
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    • pp.64-71
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    • 2013
  • Purpose: The purpose of this study was to select standing posture parameters that have a significant difference according to the severity of spinal deformity, and to develop a novel Cobb angle prediction model for adolescent girls with idiopathic scoliosis. Methods: Five normal adolescents girls with no history of musculoskeletal disorders, 13 mild scoliosis patients (Cobb angle: $10^{\circ}-25^{\circ}$), and 14 severe scoliosis patients (Cobb angle: $25^{\circ}-50^{\circ}$) participated in this study. Six infrared cameras (VICON) were used to acquire data and 35 standing parameters of scoliosis patients were extracted from previous studies. Using the ANOVA and post-hoc test, parameters that had significant differences were extracted. In addition, these standing posture parameters were utilized to develop a Cobb-angle prediction model through multiple regression analysis. Results: Twenty two of the parameters showed differences between at least two of the three groups and these parameters were used to develop the multi-linear regression model. This model showed a good agreement ($R^2$ = 0.92) between the predicted and the measured Cobb angle. Also, a blind study was performed using 5 random datasets that had not been used in the model and the errors were approximately $3.2{\pm}1.8$. Conclusions: In this study, we demonstrated the possibility of clinically predicting the Cobb angle using a non-invasive technique. Also, monitoring changes in patients with a progressive disease, such as scoliosis, will make possible to have determine the appropriate treatment and rehabilitation strategies without the need for radiation exposure.

A Study on a One-step Pairwise GM-estimator in Linear Models

  • Song, Moon-Sup;Kim, Jin-Ho
    • Journal of the Korean Statistical Society
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    • 제26권1호
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    • pp.1-22
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    • 1997
  • In the linear regression model $y_{i}$ = .alpha. $x_{i}$ $^{T}$ .beta. + .epsilon.$_{i}$ , i = 1,2,...,n, the weighted pairwise absolute deviation (WPAD) estimator was defined by minimizing the dispersion function D (.beta.) = .sum..sum.$_{{i $w_{{ij}}$$\mid$ $r_{j}$ (.beta.) $r_{i}$ (.beta.)$\mid$, where $r_{i}$ (.beta.)'s are residuals and $w_{{ij}}$'s are weights. This estimator can achive bounded total influence with positive breakdown by choice of weights $w_{{ij}}$. In this paper, we consider a more general type of dispersion function than that of D(.beta.) and propose a pairwise GM-estimator based on the dispersion function. Under some regularity conditions, the proposed estimator has a bounded influence function, a high breakdown point, and asymptotically a normal distribution. Results of a small-sample Monte Carlo study are also presented. presented.

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SiC 휘스커 보강 Al6061 복합재료의 통계학적 피로균열진전 수명예측 (Statistical Life Prediction of Fatigue Crack Growth for SiC Whisker Reinforced Aluminium Composite)

  • 권재도;안정주;김상태
    • 대한기계학회논문집
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    • 제19권2호
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    • pp.475-485
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    • 1995
  • In this study, statistical analysis of fatigue data which had obtained from respective 24 fatigue crack, was examined for SiC whisker reinforced aluminium 6061 composite alloy (SiC$_{w}$/A16061) and aluminium 6061 alloy. SiC volume fraction in composite alloy is 25%. The analysis results stress intensity factor range and 0.1 mm fatigue crack initiation life for SiC$_{w}$/A16061 composite & A16061 matrix are the log-normal distribution. And regression analysis by linear model, exponential model and multiplicative model were performed to find out the relationship between fatigue crack growth rate(da/dN) and stress intensity for find out the relationship between fatigue crack growth rate(da/dN) and stress intensity factor range(.DELTA.K) in the SiC$_{w}$/A16061 composite and examine the applicability of Paris' equation to SiC$_{w}$A16061 composite. Also computer simulation was performed for fatigue life prediction of SiC$_{w}$/A16061 composite using the statistical results of this study.udy.

Dynamic Contrast Enhanced MRI and Intravoxel Incoherent Motion to Identify Molecular Subtypes of Breast Cancer with Different Vascular Normalization Gene Expression

  • Wan-Chen Tsai;Kai-Ming Chang;Kuo-Jang Kao
    • Korean Journal of Radiology
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    • 제22권7호
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    • pp.1021-1033
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    • 2021
  • Objective: To assess the expression of vascular normalization genes in different molecular subtypes of breast cancer and to determine whether molecular subtypes with a higher vascular normalization gene expression can be identified using dynamic contrast-enhanced (DCE) magnetic resonance imaging (MRI) and intravoxel incoherent motion (IVIM) diffusion-weighted imaging (DWI). Materials and Methods: This prospective study evaluated 306 female (mean age ± standard deviation, 50 ± 10 years), recruited between January 2014 and August 2017, who had de novo breast cancer larger than 1 cm in diameter (308 tumors). DCE MRI followed by IVIM DWI studies using 11 different b-values (0 to 1200 s/mm2) were performed on a 1.5T MRI system. The Tofts model and segmented biexponential IVIM analysis were used. For each tumor, the molecular subtype (according to six [I-VI] subtypes and PAM50 subtypes), expression profile of genes for vascular normalization, pericytes, and normal vascular signatures were determined using freshly frozen tissue. Statistical associations between imaging parameters and molecular subtypes were examined using logistic regression or linear regression with a significance level of p = 0.05. Results: Breast cancer subtypes III and VI and PAM50 subtypes luminal A and normal-like exhibited a higher expression of genes for vascular normalization, pericyte markers, and normal vessel function signature (p < 0.001 for all) compared to other subtypes. Subtypes III and VI and PAM50 subtypes luminal A and normal-like, versus the remaining subtypes, showed significant associations with Ktrans, kep, vp, and IAUGCBN90 on DEC MRI, with relatively smaller values in the former. The subtype grouping was significantly associated with D, with relatively less restricted diffusion in subtypes III and VI and PAM50 subtypes luminal A and normal-like. Conclusion: DCE MRI and IVIM parameters may identify molecular subtypes of breast cancers with a different vascular normalization gene expression.

광역규모 예측인자를 이용한 한반도 계절 강수량의 장기 예측 (Long-term Forecast of Seasonal Precipitation in Korea using the Large-scale Predictors)

  • 김화수;곽종흠;소선섭;서명석;박정규;김맹기
    • 한국지구과학회지
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    • 제23권7호
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    • pp.587-596
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    • 2002
  • 경험적 직교함수(EOF)분석법과 다중회귀법에 기초하여 지연상관된 광역규모 예측인자로부터 3개월 이전에 계절 강수량을 예측할 수 있는 슈퍼앙상블 모델이 개발되었다. 이 모델의 예측성이 교차검증법에 의해 평가되었다. 관측값과 예측값사이의 상관계수는 봄철에 0.73, 여름철에 0.61, 가을철에 0.69, 겨울철에 0.75로 나타났다. 이러한 값은 유의수준 ${\alpha}$=0.00에서 유의한 값이다. 수퍼 앙상블 방법의 범주형 예측성이 3개 범주로 나누어진 사례에 대해서 평가되었다. 3개 범주는 계절 누적강수량의 상위 33.3%를 과우해, 하위 33.3%를 소우해, 그 나머지를 평년해로 구분하였다. 범주형 예측의 적중률은 계절에 따라 42%에서 74%로 나타났다.

생후 3개월에서 7세 미만 정상 소아에서의 관상동맥 직경 (Coronary artery diameter of normal children aged 3 months to 6 years)

  • 유정진;조숙경;박용민;이란;정소정;배선환
    • Clinical and Experimental Pediatrics
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    • 제51권6호
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    • pp.629-633
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    • 2008
  • 목 적 : 가와사끼병에 따른 관상동맥 직경 증가를 판단하기 위하여 필요한 좌주간부 관상동맥(LCA, left main coronary artery), 좌전하행 관상동맥(LAD, left anterior desending coronary artery), 우 관상동맥(RCA, right coronary artery) 각각의 정상 직경에 대한 자료가 아직 국내에 발표되지 않아, 이를 조사하기 위해 본 연구가 계획되었다. 방 법 : 2005년 3월부터 2007년 11월까지 건국대학교 병원을 방문하여 심초음파 검사를 받았으나, 특별한 심질환 소견을 보이지 않았던 생후 3개월에서 7세 미만 소아 43명을 대상으로 하였다. 심초음파 검사 시행 후 저장되었던 영상 자료에서 관상동맥 크기 측정이 이루어졌으며, 체표면적 등의 몸 크기 자료를 독립 변수로 하여 단순 선형 회귀분석이 시행되었다. 결 과 : 체표면적은 LCA($R^2=0.20$, P=0.0038), LAD($R^2=0.41$, P<0.0001), 및 RCA($R^2=0.30$, P=0.0002) 모두의 직경과 의미 있는 관계를 보였다. 회귀 공식에서 y 절편은 각각 1.703, 1.058, 1.007; 회귀 계수는 각각 0.971, 1.175, 1.177; 표준편차는 각각 0.315, 0.221, 0.282 로 추정되었다. 결 론 : 개별 관상동맥 직경과 체표면적과의 의미 있는 관계가 확인되었고, 선형 회귀 공식이 산출되었다. 본 연구 결과를 활용하여, 개별 관상동맥 직경의 Z-score 산출을 국내 자료로서 가능하도록 한 것이 본 연구의 의의라고 할 수 있겠다.

Research on the Impact of Agricultural Mechanization Service on Wheat Planting Cost: A Case Study of Henan Province

  • Cheng, Zhang
    • Journal of Information Processing Systems
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    • 제17권6호
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    • pp.1127-1137
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    • 2021
  • Given the different effects of agricultural mechanization on various stages of wheat planting in Henan, this article selects 78 observation samples from Henan, a major wheat-growing province. It uses different research methods (multiple linear regression, social network analysis model, multi-layer sensory nerves network) to conduct a comparative study, and the calculation results of the model show that the experimental results have a strong convergence and consistency. Agricultural mechanization services have significant effects on the three stages of wheat planting: harvesting, plowing and sowing. A higher degree of mechanized service in several stages can reduce the cost of growing wheat on family farms.

기상자료기반 다중선형회귀분석에 의한 농업용 저수지 월단위 저수율 예측 및 저수지 가뭄지수(RDI) 추정 (Forecasting Monthly Agricultural Reservoir Storage and Estimation of Reservoir Drought Index (RDI) Using Meteorological Data Based Multiple Linear Regression Analysis)

  • 이지완;김진욱;정충길;김성준
    • 한국지리정보학회지
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    • 제21권3호
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    • pp.19-34
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    • 2018
  • 본 논문의 목적은 농업용 저수지 저수율 계측자료와 기상인자와의 다중선형회귀분석을 통해 저수율 예측 월단위 회귀식을 산정하는데 있다. 2002년부터 2016년까지의 한국농어촌공사 저수지 3,067개에 대한 저수율 관측자료와 기상청 63개 지점 관측자료를 수집하여 저수율 예측 다중선형 회귀식을 도출하였으며, 개발된 월별 회귀식에 대한 $R^2$는 0.51~0.95로 분석되었다. 또한 회귀식의 적용성 평가를 위해 9개 대표저수지에 대해 관측값과 비교한 $R^2$는 0.44~0.81로 나타났다. 회귀식을 이용하여 평년(1976-2005) 대비 저수지 가뭄지수(Reservoir Drought Index, RDI)를 산정하여 ROC 분석을 수행한 결과, 극심한 가뭄의 경우 2년(2015~2016) 평균 적중률은 0.64로 겨울의 적중률이 0.70으로 가장 높았고, 여름의 적중률이 0.58로 가장 낮게 나타났으며, 봄과 가을의 적중률은 각각 0.59, 0.68로 분석되었다. 본 연구에서 도출한 회귀식은 가용한 관측자료 및 1~3개월의 장기 기상전망자료 기반의 월단위 저수율 전망자료 생산이 가능하므로, 이를 기반으로 농업가뭄 전망정보의 생산이 가능할 것으로 판단된다.

기상예보자료 기반의 농업용저수지 저수율 전망을 위한 나이브 베이즈 분류 및 다중선형 회귀모형 개발 (Development of Naïve-Bayes classification and multiple linear regression model to predict agricultural reservoir storage rate based on weather forecast data)

  • 김진욱;정충길;이지완;김성준
    • 한국수자원학회논문집
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    • 제51권10호
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    • pp.839-852
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    • 2018
  • 본 연구의 목적은 기상자료(강수량, 최고기온, 최저기온, 평균기온, 평균풍속) 기반의 다중선형 회귀모형을 개발하여 농업용저수지 저수율을 예측하는 것이다. 나이브 베이즈 분류를 활용하여 전국 1,559개의 저수지를 지리형태학적 제원(유효저수량, 수혜면적, 유역면적, 위도, 경도 및 한발빈도)을 기준으로 30개 군집으로 분류하였다. 각 군집별로, 기상청 기상자료와 한국농어촌공사 저수지 저수율의 13년(2002~2014) 자료를 활용하여 월별 회귀모형을 유도하였다. 저수율의 회귀모형은 결정계수($R^2$)가 0.76, Nash-Sutcliffe efficiency (NSE)가 0.73, 평균제곱근오차가 8.33%로 나타났다. 회귀모형은 2년(2015~2016) 기간의 기상청 3개월 기상전망자료인 GloSea5 (GS5)를 사용하여 평가되었다. 현재저수율과 평년저수율에 의해 산정되는 저수지 가뭄지수(Reservoir Drought Index, RDI)에 의한 ROC (Receiver Operating Characteristics) 분석의 적중률은 관측값을 이용한 회귀식에서 0.80과 GS5를 이용한 회귀식에서 0.73으로 나타났다. 본 연구의 결과를 이용해 미래 저수율을 전망하여 안정적인 미래 농업용수 공급에 대한 의사결정 자료로 사용할 수 있을 것이다.

The Distribution of Intraocular Pressure and Its Association With Metabolic Syndrome in a Community

  • Park, Sang-Shin;Lee, Eun-Hee;Jargal, Ganchimeg;Paek, Do-Myung;Cho, Sung-Il
    • Journal of Preventive Medicine and Public Health
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    • 제43권2호
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    • pp.125-130
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    • 2010
  • Objectives: The current study was performed to assess the distribution of intraocular pressure (IOP) and its association with metabolic syndrome (MS) in a community. Methods: We measured IOP and MS components from 446 adults, age 20 or more years old, who reside in a community in Kyunggi Province, South Korea. We compared the level of IOP according to the number of metabolic abnormalities and between normal and abnormal metabolic components. Linear regression analyses were used to determine the relationship between IOP and metabolic components. Results: No significant difference in IOP (mean${\pm}$SE) was found between men ($12.24{\pm}2.42$) and women ($12.55{\pm}2.41$ mmHg, p > 0.1), while IOP of men tended to decrease as age increased (p for trend < 0.01). After adjusting for age, IOP of subjects with abdominal obesity in men and high blood pressure in women were significantly higher than those without abdominal obesity or high blood pressure (p < 0.05). Female subjects with MS showed significantly higher IOP than those without MS. Participants with more metabolic disturbances tended to have a greater IOP elevation with a linear trend after adjusting for age and sex. In the univariate regression analysis, age and waist circumference were significantly associated with IOP in men, but systolic and diastolic blood pressure were associated with IOP in women. In final multiple regression model, age, systolic blood pressure, and triglyceride were associated with IOP in women, and age in men. Conclusions: These findings suggest that MS and its components may be important determinants of elevated IOP.