Details
| Original language | English |
|---|---|
| Article number | 86 |
| Journal | Journal of geodesy |
| Volume | 96 |
| Issue number | 11 |
| Publication status | Published - 27 Oct 2022 |
Abstract
The measurement noise of a terrestrial laser scanner (TLS) is correlated. Neglecting those correlations affects the dispersion of the parameters when the TLS point clouds are mathematically modelled: statistical tests for the detection of outliers or deformation become misleading. The account for correlations is, thus, mandatory to avoid unfavourable decisions. Unfortunately, fully populated variance covariance matrices (VCM) are often associated with computational burden. To face that challenge, one answer is to rescale a diagonal VCM with a simple und physically justifiable variance inflation factor (VIF). Originally developed for a short-range correlation model, we extend the VIF to account for long-range dependence coming from, for example, atmospheric turbulent effects. The validation of the VIF is performed for the congruency test for deformation with Monte Carlo simulations. Our real application uses data from a bridge under load.
Keywords
- Congruency test, Correlations, Effective sample size, Long-range dependence, Mahalanobis distance, Terrestrial laser scanner, Variance inflation factor
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Geophysics
- Earth and Planetary Sciences(all)
- Geochemistry and Petrology
- Earth and Planetary Sciences(all)
- Computers in Earth Sciences
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In: Journal of geodesy, Vol. 96, No. 11, 86, 27.10.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The variance inflation factor to account for correlations in likelihood ratio tests
T2 - deformation analysis with terrestrial laser scanners
AU - Kermarrec, Gaël
AU - Lösler, Michael
AU - Guerrier, Stéphane
AU - Schön, Steffen
N1 - Funding Information: Open Access funding enabled and organized by Projekt DEAL. This study is supported by the Deutsche Forschungsgemeinschaft under the project KE2453/2–1. Stéphane Guerrier was supported by the SNSF Professorships Grant #176843 and by the Innosuisse Grant #37308.1 IP-ENG.
PY - 2022/10/27
Y1 - 2022/10/27
N2 - The measurement noise of a terrestrial laser scanner (TLS) is correlated. Neglecting those correlations affects the dispersion of the parameters when the TLS point clouds are mathematically modelled: statistical tests for the detection of outliers or deformation become misleading. The account for correlations is, thus, mandatory to avoid unfavourable decisions. Unfortunately, fully populated variance covariance matrices (VCM) are often associated with computational burden. To face that challenge, one answer is to rescale a diagonal VCM with a simple und physically justifiable variance inflation factor (VIF). Originally developed for a short-range correlation model, we extend the VIF to account for long-range dependence coming from, for example, atmospheric turbulent effects. The validation of the VIF is performed for the congruency test for deformation with Monte Carlo simulations. Our real application uses data from a bridge under load.
AB - The measurement noise of a terrestrial laser scanner (TLS) is correlated. Neglecting those correlations affects the dispersion of the parameters when the TLS point clouds are mathematically modelled: statistical tests for the detection of outliers or deformation become misleading. The account for correlations is, thus, mandatory to avoid unfavourable decisions. Unfortunately, fully populated variance covariance matrices (VCM) are often associated with computational burden. To face that challenge, one answer is to rescale a diagonal VCM with a simple und physically justifiable variance inflation factor (VIF). Originally developed for a short-range correlation model, we extend the VIF to account for long-range dependence coming from, for example, atmospheric turbulent effects. The validation of the VIF is performed for the congruency test for deformation with Monte Carlo simulations. Our real application uses data from a bridge under load.
KW - Congruency test
KW - Correlations
KW - Effective sample size
KW - Long-range dependence
KW - Mahalanobis distance
KW - Terrestrial laser scanner
KW - Variance inflation factor
UR - http://www.scopus.com/inward/record.url?scp=85140601720&partnerID=8YFLogxK
U2 - 10.1007/s00190-022-01654-5
DO - 10.1007/s00190-022-01654-5
M3 - Article
AN - SCOPUS:85140601720
VL - 96
JO - Journal of geodesy
JF - Journal of geodesy
SN - 0949-7714
IS - 11
M1 - 86
ER -