Statistical Tests for Detecting Movements in Repeatedly Measured Geodetic Networks

Niemeier, Wolfgang

doi:10.1016/b978-0-444-41953-8.50041-4

Cited by 16 publications

(8 citation statements)

References 5 publications

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“…The so-called Global Congruency Test, e.g. [7,25], is routinely applied in order to investigate the hypotheses of zero displacement, which constitutes the null hypothesis 0 : Comparison between the T value obtained and the critical value at a level of significance  for the corresponding Fisher distribution permits to decide between the two possible alternatives: if …”

Section: Statistical Testing Of Displacementsmentioning

confidence: 99%

Deformation monitoring and the maximum number of stable points method

2015

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Abstract. The question of determination of displacements in control networks with two or more measuring epochs is a well-known problem with broad applications to different fields of science and engineering. The standard procedure, which is computed by means of the pseudoinverse matrix, however, makes an implicit assumption that may be not convenient for the network at hand: it distributes the noticed displacement among the majority of the network points. The present paper develops what it has been named as the maximum number of stable points hypothesis and builds from the corresponding theoretical framework an applicable computation procedure. Application to a particular example will confirm its clear advantages versus the standard procedure for deformation determination in the cases where a single large deformation may be suspected.

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Section: Statistical Testing Of Displacementsmentioning

confidence: 99%

Deformation monitoring and the maximum number of stable points method

2015

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“…Izbira metode je običajno odvisna od vrste deformacij, ki jih raziskujemo, in od vrste kontrolne mreže, ki jo vzpostavimo za obravnavani objekt. CDA-metode temeljijo na oceni najmanjših kvadratov (LSE), kot sta Hannover in Karlsruhe, kjer uporabimo globalni kongruenčni test med dvema terminskima izmerama (Pelzer, 1971;Niemeier, 1981). IWST-metode zagotavljajo dobro oceno vektorja premikov za posamezno točko v postopku robustne S-transformacije (Chen et al, 1990).…”

Section: Uvodunclassified

An alternative approach to testing displacements in a geodetic network

Savšek¹

2017

geod. vestn.

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“…The stability of the parameters is verified by comparing the results measured in two epochs using the so-called Global Congruency Test (GCT), as described in Niemeier (1981), Caspary et al (1990), Denli and Deniz (2003), and Marotta et al (2013). This test aims to determine the temporal stability of points from a network of deformations and/or structures control; the test defines which points remain stable and can be used in the determination of targets, which are the objects of the deformation analysis.…”

Section: Ordinary Testsmentioning

confidence: 99%

Use of control charts for multi-temporal analysis of geodetic auscultation data from dams

Quintanilha

Machado

et al. 2013

Bol. Ciênc. Geod.

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Geodesic auscultation can be used to monitor the movement of dam structures by measuring the distance, at different epochs from fixed positions (pillars) to other positions (targets). It is important to identify the targets that present atypical measurements to permit managers to take corrective actions. After fitting a model using the Least Squares Method (LSM), the residuals normally display random behavior. Multivariate control charts are then applied to the residuals of the fitted model from data taken of geodesic survey campaigns conducted at different epochs. Control charts have been widely applied in other fields of research than production processes such as public health, marketing, services. The results show that it is possible for monitoring the multi-temporal stability by the multivariate control charts. RESUMO A auscultação geodésica de barragens é uma das formas de monitorar a movimentação da obra através de medidas de distância, (em várias épocas) de posições consideradas fixas, os pilares, a outras posições, comumente chamadas de alvos. Desta forma é importante identificar os alvos que apresentam medidas muito atípicas de modo que os gestores possam tomar iniciativas corretivas. Após o ajuste de um modelo pelo Método dos Mínimos Quadrados (MMQ), é razoável esperar que os resíduos apresentem comportamento aleatório. A verificação disto é realizada através da construção de gráfico de controle multivariado aplicado aos resíduos do modelo ajustado com os dados provenientes de campanhas geodésicas, efetuadas em diferentes épocas. Os referidos gráficos têm sido largamente aplicados em outras áreas de ciência, como em assuntos de saúde pública, marketing, serviços, além de processos de produção. Os resultados mostram que é possível verificar uma estabilidade multitemporal através da aplicação de gráficos de controle multivariado, provendo informações complementares àquelas advindas das análises univariadas tradicionais.

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Statistical Tests for Detecting Movements in Repeatedly Measured Geodetic Networks

Cited by 16 publications

References 5 publications

Deformation monitoring and the maximum number of stable points method

Deformation monitoring and the maximum number of stable points method

An alternative approach to testing displacements in a geodetic network

Use of control charts for multi-temporal analysis of geodetic auscultation data from dams

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