Estimating the standard uncertainty contribution of the
straight-line fit algorithm used to determine the position and
width of a graduation line

J 2012

Estimating the standard uncertainty contribution of the straight-line fit algorithm used to determine the position and width of a graduation line

KÖNING, Rainer; Karol KAROVIČ; Gejza WIMMER a Viktor WITKOVSKÝ

Základní údaje

Originální název

Estimating the standard uncertainty contribution of the straight-line fit algorithm used to determine the position and width of a graduation line

Autoři

KÖNING, Rainer; Karol KAROVIČ; Gejza WIMMER a Viktor WITKOVSKÝ

Vydání

Metrologia, BRISTOL, IOP PUBLISHING LTD, 2012, 0026-1394

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10103 Statistics and probability

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Full Text

Impakt faktor

Impact factor: 1.902

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/12:00063726

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

straight-line fit; standard uncertainty; graduation line

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 16. 12. 2019 19:47, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We propose an implementation of the straight-line fit algorithm to evaluate data obtained as part of measurements of line structures, e. g. a grating line, which allows us to determine, at a conventional threshold value, the coordinates of the edges, the position and the width of its photometric profile as well as the related standard uncertainty contribution. These are derived for the (1 - alpha)100% confidence intervals with alpha is an element of [0, 1]. The implementation is demonstrated using data obtained by the PTB Nanometer Comparator (Fluegge and Koning 2001 Proc. SPIE 4401 275-83). The investigation revealed that large parts of the uncertainty of the position and the width of the line are due to the choice of the fit interval and the uncertainty of the determination of the minimum and maximum level of the photoelectric signal of the line.

Návaznosti

LC06024, projekt VaV

Název: Centrum Jaroslava Hájka pro teoretickou a aplikovanou statistiku

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Centrum Jaroslava Hájka pro teoretickou a aplikovanou statistiku

Citovat

KÖNING, Rainer; Karol KAROVIČ; Gejza WIMMER a Viktor WITKOVSKÝ. Estimating the standard uncertainty contribution of the straight-line fit algorithm used to determine the position and width of a graduation line. Metrologia. BRISTOL: IOP PUBLISHING LTD, 2012, roč. 49, č. 3, s. 169-179. ISSN 0026-1394. Dostupné z: https://doi.org/10.1088/0026-1394/49/3/169.

@article{1086676,
   author = {Köning, Rainer and Karovič, Karol and Wimmer, Gejza and Witkovský, Viktor},
   article_location = {BRISTOL},
   article_number = {3},
   doi = {https://doi.org/10.1088/0026-1394/49/3/169},
   keywords = {straight-line fit; standard uncertainty; graduation line},
   language = {eng},
   issn = {0026-1394},
   journal = {Metrologia},
   title = {Estimating the standard uncertainty contribution of the straight-line fit algorithm used to determine the position and width of a graduation line},
   url = {https://iopscience.iop.org/article/10.1088/0026-1394/49/3/169/pdf},
   volume = {49},
   year = {2012}
}

TY  - JOUR
ID  - 1086676
AU  - Köning, Rainer - Karovič, Karol - Wimmer, Gejza - Witkovský, Viktor
PY  - 2012
TI  - Estimating the standard uncertainty contribution of the straight-line fit algorithm used to determine the position and width of a graduation line
JF  - Metrologia
VL  - 49
IS  - 3
SP  - 169-179
EP  - 169-179
PB  - IOP PUBLISHING LTD
SN  - 00261394
KW  - straight-line fit
KW  - standard uncertainty
KW  - graduation line
UR  - https://iopscience.iop.org/article/10.1088/0026-1394/49/3/169/pdf
L2  - https://iopscience.iop.org/article/10.1088/0026-1394/49/3/169/pdf
N2  - We propose an implementation of the straight-line fit algorithm to evaluate data obtained as part of measurements of line structures, e. g. a grating line, which allows us to determine, at a conventional threshold value, the coordinates of the edges, the position and the width of its photometric profile as well as the related standard uncertainty contribution. These are derived for the (1 - alpha)100% confidence intervals with alpha is an element of [0, 1]. The implementation is demonstrated using data obtained by the PTB Nanometer Comparator (Fluegge and Koning 2001 Proc. SPIE 4401 275-83). The investigation revealed that large parts of the uncertainty of the position and the width of the line are due to the choice of the fit interval and the uncertainty of the determination of the minimum and maximum level of the photoelectric signal of the line.
ER  -

KÖNING, Rainer; Karol KAROVIČ; Gejza WIMMER a Viktor WITKOVSKÝ. Estimating the standard uncertainty contribution of the straight-line fit algorithm used to determine the position and width of a graduation line. \textit{Metrologia}. BRISTOL: IOP PUBLISHING LTD, 2012, roč.~49, č.~3, s.~169-179. ISSN~0026-1394. Dostupné z: https://doi.org/10.1088/0026-1394/49/3/169.

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