ISO 7066-2:1988 PDF

Name: ISO 7066-2:1988 — Assessment of uncertainty in the calibration and use of flow measurement devices — Part 2: Non-linear calibration relationships
SKU: ISO 7066-2:1988
Price: 25 EUR
Availability: InStock

Assessment of uncertainty in the calibration and use of flow measurement devices — Part 2: Non-linear calibration relationships

Название (английский):

ISO 7066-2:1988

Assessment of uncertainty in the calibration and use of flow measurement devices — Part 2: Non-linear calibration relationships

Статус документа:: Действующий
Формат:: Электронный (PDF)
Количество страниц:: 28
Дата публикации:: 30 июня 1988 г.
Издание:: ISO IS 7066 edition 1 version 1
ICS:: 17.120.10

Тип поставки:

Full version420 €Read online 24h10 €Read online 72h15 €

Язык документа:

ruen

Срок поставки:5 раб. дн. (перевод)

Цена:420 €

Описание (английский):

Describes the procedures for fitting a quadratic, cubic or higher degree polynomial expression to a non-linear set of calibration data, using the least-squares criterion, and of assessing the uncertainty associated with the resulting calibration curve. The method of fitting a straight line to flow measurement calibration data is dealt with in ISO 7066-1.

Abstract

Похожие стандарты

Упомянутые в описании и другие стандарты ISO

Overview

ISO 7066-2:1988 provides internationally recognized procedures for the assessment of uncertainty when calibrating flow measurement devices that exhibit non-linear calibration relationships. It specifies how to fit quadratic, cubic or higher-order polynomial expressions to calibration data using the least-squares criterion and how to evaluate the uncertainty associated with the resulting calibration curve. The standard complements ISO 7066-1, which covers linear calibration relationships.

Key topics and technical requirements

Polynomial curve fitting: Procedures for fitting polynomials (bo + b1x + b2x2 + … + bmxm) to non-linear calibration data using least-squares (polynomial or curvilinear regression).

Selection of polynomial degree: Incremental testing of degree m, computation of residual standard deviation (sr), and selection of the optimum degree based on statistical significance (95% confidence) of added coefficients using Student’s t test.

Uncertainty evaluation: Calculation of the random component of uncertainty for predicted values (95% confidence), combining systematic and random components, and expressions for variances of coefficients (annexes A and B).

Computational guidance: Use of standard regression library routines or the orthogonal polynomial method (Annex B); a FORTRAN program is provided (Annex C). A finite-difference method (Annex E) is suggested for uniformly spaced x when a computer is unavailable.

Practical cautions: No extrapolation beyond data range; avoid overfitting and spurious oscillations from excessive polynomial degree; consider variable transformations (e.g., reciprocal) or segmented fits when appropriate.

Annexes: Informative annexes on regression methods (A), orthogonal polynomials (B), example program (C), worked examples (D) and finite-difference guidance (E) (these annexes are non-normative).

Applications

Calibration laboratories assessing uncertainty in flow meter calibrations when responses are non-linear.

Instrument manufacturers developing calibration curves and uncertainty budgets for flow devices.

Metrology institutes and test houses establishing traceable calibration services for liquid and gas flow instruments.

Engineers needing statistically justified calibration models and uncertainty estimates for flow measurement systems.

Related standards

ISO 7066-1 - Assessment of uncertainty in the calibration and use of flow measurement devices (linear calibration relationships).

ISO 5168 - Measurement of fluid flow - Estimation of uncertainty of a flow-rate measurement (referenced for uncertainty principles).

Keywords: ISO 7066-2, calibration uncertainty, flow measurement, non-linear calibration, polynomial fitting, least-squares, orthogonal polynomials, regression, calibration curve.

ISO 7066-2:1988 PDF

Abstract

Похожие стандарты

Overview

Key topics and technical requirements

Applications

Who should use this standard

Related standards

Технические детали

ISO 7066-1:1989

Assessment of uncertainty in the calibration and use of flow measurement devices — Part 1: Linear calibration…

ISO 5168:1978

Measurement of fluid flow — Estimation of uncertainty of a flow-rate measurement

ISO 8689-1:2000

Water quality — Biological classification of rivers — Part 1: Guidance on the interpretation of biological qu…

ISO/ASTM51540-04(2012)

Standard Practice for Use of a Radiochromic Liquid Dosimetry System (Withdrawn 2020)

ISO/ASTM51204-04

Standard Practice for Dosimetry in Gamma Irradiation Facilities for Food Processing (Withdrawn 2013)

ISO/ASTM51431-05

Standard Practice for Dosimetry in Electron Beam and X-Ray (Bremsstrahlung) Irradiation Facilities for Food P…

ISO/ASTM52628-20e1

Standard Practice for Dosimetry in Radiation Processing

ISO/ASTM52921-13(2019)

Standard Terminology for Additive Manufacturing—Coordinate Systems and Test Methodologies