• 제목/요약/키워드: Standard error

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자가 보정 방법을 이용한 삼차원 측정기의 계통 오차 추출 (Error Assessment of CMM by Self-calibration Method)

  • 유승봉;김승우
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.379-382
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    • 2002
  • Among the CMM calibration techniques, the calibration with standard specimen is most accurate way to acquire the required precision. When there is no standard specimen, the calibration of CMM with itself is possible. This calibration method is called "self-calibration". In this paper, we developed self-calibration algorithm for CMM XY plane. It is possible to calculate the in-plane error and out-of-plane error of CMM with 3 different measurement of same artifact. Experimental result shows that the non-orthogonality error is dominant in in-plane error and the self-calibration result and laser interferometer measured result have almost same value.ame value.

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비정규 측정오차의 경우 측정시스템 변동과 PTR 추정 (Estimations of Measurement System Variability and PTR under Non-normal Measurement Error)

  • 장무성;김상부
    • 품질경영학회지
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    • 제35권1호
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    • pp.10-19
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    • 2007
  • ANOVA is widely, used for measurement system analysis. It assumes that the measurement error is normally distributed, which nay not be seen in some industrial cases. In this study the estimates of the measurement system variability and PTR (precision-to-tolerance ratio) are obtained by using weighted standard deviation for the case where the measurement error is non-normally distributed. The Standard Bootstrap method is used foy estimating confidence intervals of measurement system variability and PTR. The point and confidence interval estimates for the cases with normally distributed measurement error are compared to those with non-normally distributed measurement errors through computer simulation.

신뢰타원에 의한 삼변망의 오차해석 (Error Analysis of Trilateration Network by Confidence Ellipse)

  • 백은기;구재동
    • 한국측량학회지
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    • 제13권1호
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    • pp.13-20
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    • 1995
  • 수평위치 결정에서 오차해석은 중요하다. 오차해석의 경우 표준오차타원이 정밀도의 척도로써 사용되나, 오차한계의 설정이나 측정치의 합격기준과 상대오차를 비교하는데 한계가 있어, 캐나다나 미국에서는 작업규정 에 95%신뢰타원을 오차한계로 설정하고 있다. 본 연구에서는 수평위치 결정시 신뢰타원을 오차해석에 적용하여 분석하였다. 최소제곱법과 오차해석이론에 대해 검토하였으며 , 컴퓨터 프로그램으로 E.D.M 삼변망에 대해 오차분석을 하였다. 본 연구결과 오차한계의 설정 , 측정치의 합격기준, 상대오차를 비교할 때 95%신뢰타원이 합리적이므로 작업규정에 95%신뢰타원을 도입하는 것이 필요하다. 또한 경제성있는 최적망 설계를 위해 측량망의 예비분석에도 95%신뢰타원이 효과적으로 적용될 수 있다고 사료된다.

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성문암 세기변조방사선치료에서 두 가지 열가소성 마스크에 대한 환자위치잡이 오차 평가 (Comparison of Setup Deviations for Two Thermoplastic Immobilization Masks in Glottis Cancer)

  • 정재홍
    • 대한방사선기술학회지:방사선기술과학
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    • 제40권1호
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    • pp.63-70
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    • 2017
  • 본 연구는 세기변조방사선 치료기술을 이용한 성문암 환자에게 사용되는 두 가지 상이한 열가소성 고정기구 마스크로 인한 환자위치잡이 오차를 비교 평가하고 자 하였다. 치료가 종료된 총 16명의 성문암 환자를 두 그룹으로 나누었고(기존마스크 vs. 변형마스크), 평균, 3D오차, 시스템과 랜덤오차를 구하여 환자위치잡이 오차를 비교하였다. 또한, 치료계획종양체적(PTV)에 대한 여백(margin)을 분석하였다. 3D오차에 대하여 기존 그룹은 $5.2{\pm}1.3mm$고, 변형그룹은 $5.9{\pm}0.7mm$로써, 변형마스크가 변형보다 13.6% 높았다. 시스템오차는 기존그룹(변형그룹)에서 좌표 x, y, z방향은 각각 1.7 mm (1.1 mm), 1.0 mm (1.8 mm), 1.5 mm (2.0 mm)였고, 회전각(roll angle)은 $0.8^{\circ}$ ($0.8^{\circ}$)였다. 랜덤오차는 변형그룹이 기존그룹에 비하여 좌표 x, y, z방향으로 10.9%, 1.7%, 23.1%로 낮았으나, 회전각은 12.4% 높았다. PTV여백에서 변형그룹은 좌표 x방향에 대하여 기존그룹에 비하여 31.8% 낮았으나, 반대로 좌표 y와 z방향에서는 기존그룹보다 각각 52.6%와 21.6%로 높았다. 성문암 세기변조방사선치료에서 변형된 마스크 사용은 고정기구의 변형으로 인한 환자위치잡이 오차는 수치적으로는 영향을 줄 수 있지만, 다양한 관점에서 고정기구 마스크에 대한 연구가 임상적인 측면에서 연구가 필요할 것으로 사료된다.

Application for Measuring the Glucose, Ammonia nitrogen, and Tylosin Concentration using Near Infrared Spectroscopy

  • Kim, Jong-Soo;Cho, Hoon
    • 환경위생공학
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    • 제23권2호
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    • pp.19-25
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    • 2008
  • For measurement of tylosin, ammonia nitrogen, and glucose concentration during the culture of Streptomyces fradiae using Near Infrared Spectroscopy, the calibration using various mathematical models was performed and then, based on the linear model, the validation was carried out. In the case of sucrose concentration using the MLR method, the Standard Error of Prediction and Multiple correlation coefficient were 1.97, and 0.991, respectively. In the case of ammonia nitrogen concentration using the PLSR method, the Standard Error of Prediction and Multiple correlation coefficient were 0.13, and 0.990, respectively. In the case of tylosin concentration using the PLSR method, the standard Error of Prediction and Multiple correlation coefficient were 0.54, and 0.984, respectively.

질량측정에 의한 우량계 표준교정시스템 개발 (Development of Standard Calibration System for the Rain Gauges by Weighting Method)

  • 신강욱;홍성택
    • 제어로봇시스템학회논문지
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    • 제12권8호
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    • pp.818-823
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    • 2006
  • Because the rain gauges of tipping bucket type can easily use the digital signal, the rain gauges are widely used for the meteorological observation. In general, the resolution of rain gauges of tipping bucket type can be categorized by the 0.1mm, 0.5mm, and 1.0mm classes. But, the error of the tipping bucket rain gauges is made by the intensity of rainfalls and is expected to make the standard calibration method for error measurement. Thus, we developed the hardware of standard calibration facility for rain gauges by weighting measurement method and proposed the standard procedure by rainfall intensity in this study Also, we calculated the uncertainty for the rainfall intensity and obtained useful result through the proposed calibration method.

Error Control Policy for Initial Value Problems with Discontinuities and Delays

  • Khader, Abdul Hadi Alim A.
    • Kyungpook Mathematical Journal
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    • 제48권4호
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    • pp.665-684
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    • 2008
  • Runge-Kutta-Nystr$\"{o}$m (RKN) methods provide a popular way to solve the initial value problem (IVP) for a system of ordinary differential equations (ODEs). Users of software are typically asked to specify a tolerance ${\delta}$, that indicates in somewhat vague sense, the level of accuracy required. It is clearly important to understand the precise effect of changing ${\delta}$, and to derive the strongest possible results about the behaviour of the global error that will not have regular behaviour unless an appropriate stepsize selection formula and standard error control policy are used. Faced with this situation sufficient conditions on an algorithm that guarantee such behaviour for the global error to be asympotatically linear in ${\delta}$ as ${\delta}{\rightarrow}0$, that were first derived by Stetter. Here we extend the analysis to cover a certain class of ODEs with low-order derivative discontinuities, and the class of ODEs with constant delays. We show that standard error control techniques will be successful if discontinuities are handled correctly and delay terms are calculated with sufficient accurate interpolants. It is perhaps surprising that several delay ODE algorithms that have been proposed do not use sufficiently accurate interpolants to guarantee asymptotic proportionality. Our theoretical results are illustrated numerically.

Solid Coupling의 설계 및 비틀림 각도 오차 특성 연구 (A Design of Solid Coupling and Study of Torsoinal Angular error Character)

  • 노창열;이응석;안동율
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.940-944
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    • 2004
  • This is a thesis about the Solid Coupling Design and Torsional Angular Error Character. The solid coupling which is designed and made is a strong rigidity material. This is a experiment of Solid Coupling Torsional Error. The Angular Error, FEM and Circularity Measurement. Devices are Twist Friction Driver, Polygon, Autocollimator and Standard Encoder for Measurement. Coupling caused by elastic deformation causes angular error.

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근적외선분광법을 이용한 버어리 토스트엽의 화학성분 분석 (Determination of Chemical Composition of Toasted Burley Tobacco by Near Infrared Spectroscopy)

  • 김용옥;정한주;백순옥;김기환
    • 한국연초학회지
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    • 제17권2호
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    • pp.177-183
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    • 1995
  • This study was conducted to develop the most precise NIR(near infrared spectrometric) calibration for rapid determination of chemical composition in ground samples of toasted burley tobacco using stepwise, stepup, principal component regression(PCR), partial least square(PLS) and modified partial least square(MPLS) calibration method. The number of wavelength(W) selected by stepup multiple linear regression using: second derivative spectra was as follows: total sugar(TS)-4 W, nicotine-9 W, total nitrogen(TN)-2 W, ash-8 W, total volatile base(TVB)-5 W, chlorine4 W, L of color-6 W, a of color-6 W and b of color-7 W. Comparing the calibration equations followed by each chemical components, the most precise calibration equation was MPLS for 75, a and b of color, PLS for nicotine, ash, TVB, chlorine and L of color and stepup for TN. The standard error of calibration(SEC) and standard error of performance(SEP) between result of near infrared analysis and standard laboratory analysis were 0.18, 0.40% for 75, 0.06, 0.08% for nicotine, 0.18, 0.16% for TN, 0.33, 0.46% for ash, 0.04, 0.03% for TVB, 0.08, 0.06% for chlorine, 0.54, 0.58 for L of color, 0.22, 0.22 for a of color and 0.27, 0.27 for b of color, respectively. The SEC and SEP of ash and TVB were within allowable error of standard laboratory analysis, nicotine, TN and chlorine were 1.2-2.0 times and 75 were 2.1-4.0 times larger than allowable error of standard laboratory analysis. The ratio of SEC and SEP to mean were 1.5, 1.6% for L of color, 3.7, 3.8% for a of color and 1.8, 1.8% for b of color, respectively. Key words : burley tobacco chemistry, near infrared spectroscopy.

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다변량 분석법을 이용한 Tryptophan과 Tyrosine의 형광분광법적 정량 (Simultaneous Determination of Tryptophan and Tyrosine by Spectrofluorimetry Using Multivariate Calibration Method)

  • 이상학;박주은;손범목
    • 대한화학회지
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    • 제46권4호
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    • pp.309-317
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    • 2002
  • 형광분광법에 의하여 주성분 회귀분석(principal component regression, PCR)과 부분 최소자승법(Partial least squares, PLS)을 이용하여 아미노산(Tryptophan and Tyrosine)을 동시에 정량하는 방법에 대하여 연구하였다. 아미노산 혼합물의 형광 스펙트럼은 들뜸파장을257nm로 고정하여 측정하였다. 두 가지 아미노산이 서로 다른 농도로 혼합되어 있는 32개의 시료용액을 280nm∼500nm 범위에서 스펙트럼들을 얻었고 이를 이용하여 PCR과 PLS회귀모델을 얻었다. 두 가지 아미노산이 서로 다른 농도로 포함된 6개의 외부검정용 시료들의 스펙트럼들을 이용해서 회귀모델의 적합성을 검정하기 위하여 외부검정용 시료의 농도를 계산하였다. 계산된 농도를 이용하여 relative standard error of prediction($RSEP_a$)를 얻었고 같은 방법으로 overall relative standard error of prediction($RSEP_m$) 도 구하였다