## Advanced Mathematical and Computational Tools in Metrology and Testing IXThis volume contains original, refereed worldwide contributions. They were prompted by presentations made at the ninth AMCTM Conference held in G teborg (Sweden) in June 2011 on the theme of advanced mathematical and computational tools in metrology and also, in the title of this book series, in testing. The themes in this volume reflect the importance of the mathematical, statistical and numerical tools and techniques in metrology and testing and, also in keeping the challenge promoted by the Metre Convention, to access a mutual recognition for the measurement standards. |

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### Contents

Recommended Tools for Sensitivity Analysis Associated to the Evaluation of Measurement Uncertainty A Allard and N Fischer | 1 |

A Simple Confidence Interval for the Common Mean B Arendacka | 13 |

Estimation of Detailed Deviation Zone of Inspected Surfaces A Barari | 18 |

Case Study of Likelihood and Bayes Approaches for Measurement Based on Nonlinear Regression A Bariska and R Burgin | 27 |

Mathematical and Computational Aspects of Treatment Ordinal Measurement Results E Bashkansky and T Gadrich | 35 |

Calibration of Ordinal Metrical Scale E Benoit | 43 |

Comparison of Different Choices for a Prior Under Partial Information in a Bayesian Analysis O Bodnar G Wubbeler and C Elster | 51 |

SelfConsistent Reference Value Estimation W Bremser | 58 |

Coordinate Generator for TKA Navigator Testing after Reference Frame Displacement J Mailhe JM Linares and JM Sprauel | 244 |

Multi SoftSensors Data Fusion in Spatial Forecasting of Environmental Parameters U Maniscalco and G Pilato | 252 |

Tools for Optimisation Sensitivity and Uncertainty Evaluation CE Matthews L Wright and XS Yang | 260 |

Numerical Simulations and Turbulent Modelling for Application in Flow Metrology R Model S Schmelter G Lindner and M Bar | 268 |

A Method of Weighing Matrix for Spectrophotometric Analysis of Oil Mixtures RZ Morawski A Miekina and J Wagner | 276 |

Differences in Recordings of Collocated Identical Sensors F Moschas and S Stiros | 284 |

The Use of Cryptographic Principles Within Metrology Software S Parkinson A Longsta A Crampton G Allen S Fletcher and A Myers | 292 |

Zero Value Versus No Correction and of the Associated Uncertainties F Pavese | 297 |

Uncertainty Modeling in 3D SEM Stereophotogrammetry L Carli M Galetto and G Genta | 66 |

Using Statistical Confidence Boundary of a DOE Response Surface to Estimate Optimal Factors J ChavesJacob JM Linares and JM Sprauel | 74 |

Software to Support the Use of GUM Supplement 2 Extension to Any Number of Output Quantities MG Cox PM Harris and IM Smith | 82 |

Probabilistic Characterization of Face Measurement F Crenna GB Rossi and L Bovio | 90 |

Prediction of Resistance Standards Time Behavior by Stochastic Determination of Lagrange Polynomial M CundevaBlajer L Arsov and R Malaric | 102 |

Modelling Expert Knowledge to Assign Consensus Values in Proficiency Tests S Demeyer and N Fischer | 110 |

Some Mitigations for Unequal Data Variance in Linear Regression P Dupuis N Van OverstraetenSchlogel JP Raskin LA Francis and D Flandre | 118 |

Uncertainty Evaluation for ContinuousTime Measurements S Eichstadt and C Elster | 126 |

Measurement of Accessibility to Rail Transport Systems R Emardson P Jarlemark L Pendrill C Sundling ME Nilsson and B Berglund | 136 |

A Case Study in Dynamic Pressure Calibration T Esward C Matthews S Downes A Knott S Eichstadt and C Elster | 143 |

Uncertainty Calculation of a Multicamera Tracking System in a Cave F Ezedine WM Wan Muhamad and JM Linares | 151 |

A TwoStage MCMMCMC Algorithm for Uncertainty Evaluation AB Forbes | 159 |

Mathematical Models for Error Correction in MScMSII Mobile Spatial Coordinate Measurement System M Galetto and L Mastrogiacomo | 171 |

Data Fusion Techniques for Cylindrical Surface Measurements M Galovska R Tutsch and O Jusko | 179 |

Nodal Load Observer with Imperfect Measurement Infrastructure for SMART Electrical Grids G Gewiss HP Beck and J zum Hingst | 187 |

Metrological Traceability and Quality of Industrial Tests Measurements VA Granovsky and TN Siraya | 194 |

Stochastic Modeling Aspects for an Improved Solution of the Inverse Problem in Scatterometry H Gross MA Henn A Rathsfeld and M Bar | 202 |

Influence of the LookUp Window Size When Applying a Statistical FeedForward Controller C Hernandez and R Tutsch | 210 |

Evaluations of Input Quantities R Kacker R Kessel and KD Sommer | 216 |

Application to an Unstable Measurand K Klauenberg K Jousten and C Elster | 224 |

Bayesian Inference in Waveform Metrology GA Kyriazis | 232 |

Trueness F Pavese | 310 |

An InformationTheoretical Approach LR Pendrill | 317 |

RateofChange Analysis Applied to Machine Tool Monitoring and Maintenance Schedules Ch Perkins A Longsta S Fletcher and P Willoughby | 329 |

Application of Spline Surface Profile Filters to Subpixel Contour Decomposition Problems E Reetz A Schlegel M Schumann J Bargenda A Gopfert M... | 334 |

Resolving Power and Superresolution for Spectrometers Used in Radiation Detection M Reginatto | 342 |

Measurement and Evaluation of Asynchronous Radial Error of a High Speed Spindle GL Samuel and SD Ashok | 350 |

Measuring Edges on PivotMounted Objects During Rotation M Schumann J Bargenda A Schlegel P Werner E Reetz M Rosenberger and G Linss | 358 |

Theory of AND Computation Program for Determination of the Reference Value in Key Comparisons Based on Bayesian Statistics K Shirono H Tana... | 366 |

Modelling and Uncertainty Evaluation for the Radiation Quality Parameters Used in Metrological Management of Diagnostic Radiology Dosimeters ... | 377 |

Vibration Damping Using Laser Vibrometry Investigated with the Anova Method D Sporea and FD Frumosu | 385 |

Testing Autosar Basic Software Modules with Quickcheck R Svenningsson R Johansson T Arts and U Norell | 391 |

Mathematical Method for the Definition of a Non Linear Multi InputOne Output Calibration Diagram for a Laser Position Sensor D Vetturi A Delli C... | 396 |

A Sequential Approach of the Inspected Design G Vicario G Barbato S Ruffa GD Panciani and F Ricci | 405 |

Application of the Uncertainty Theory in the Leak Testing of the Spacecraft Y Wang RX Yan and LC Sun | 413 |

Evaluation and Numerical Presentation of the Results of Indirect Multivariate Measurements ZL Warsza | 418 |

Measurement Uncertainty and Procedures of Conformity Assessment R Willink | 426 |

Assessment of the GUM S1 Adaptive Monte Carlo Scheme G Wubbeler PM Harris MG Cox and C Elster | 434 |

VisualizationAssisted Analytical Method for Evaluating Propagation of Uncertainty X Bian X Zhou H Fan and K Liu | 441 |

449 | |

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2012 World Scientiﬁc A. B. Forbes Advanced Mathematical algorithm analysis applied approach approximation AUTOSAR Bayesian BIPM calculated calibration components Computational Tools coordinates correction correlation covariance matrix credible intervals deﬁned Edited by F estimate expected value ﬁgure ﬁlter Filtz ﬁrst ﬂow frequency function Gaussian Gram matrix input quantities interval KCRV laboratories linear Mathematical and Computational mean measurand measured value measurement data measurement model measurement results measurement uncertainty Metrology and Testing Monte Carlo method multivariate noise obtained output quantity parameters Pavese Pendrill performed polynomial posterior distribution prior probability distribution problem procedure proﬁle propagation of uncertainty QuickCheck random reference value sample scale Scientiﬁc Publishing Company Shirono shock tube simulation soft sensors speciﬁc standard deviation standard uncertainty statistical stochastic process surface Testing IX Edited Tools in Metrology uncertainty evaluation variables variance vector World Scientiﬁc Publishing