Extension of Internal Reliability Analysis Regarding Separability Analysis
Publication: Journal of Surveying Engineering
Volume 143, Issue 3
Abstract
Minimal detectable bias (MDB) describes a system’s general ability to detect the existence of a single outlier. However, successful identification probability is closely related to the correlations between w-statistics. When the correlation is high, the validity of the MDB as a system internal reliability index is weakened. Based on the correlation coefficient, the probabilities of committing missed detection and wrong exclusion can also be estimated; however, the latter might be significant, inducing obvious discrepancies between the actual successful identification rate and the preset value dominated by the MDB. In this paper, given a threshold to the probability of wrong exclusion, a minimal separability bias (MSB), usually larger than the MDB, is obtained using an analytic method, which can control both the probability of missed detection and of wrong exclusion. Compared with previous work, the MSB described here is expressed by an algebraic formula, which simplifies the calculation and promotes its practical application.
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Acknowledgments
The authors are grateful to the three reviewers and the editors for their very helpful comments, which greatly improved this paper. This work is supported by the National Natural Science Funds of China (Grant 41504022); the Key Laboratory of Watershed Ecology and Geographical Environment Monitoring, National Administration of Surveying, Mapping and Geoinformation (Grant WE2015001); and the State Key Laboratory of Geodesy and Earth’s Dynamics (Grant SKLGED2016-3-3-E).
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Published In
Journal of Surveying Engineering
Volume 143 • Issue 3 • August 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Jun 15, 2016
Accepted: Dec 12, 2016
Published online: Mar 27, 2017
Published in print: Aug 1, 2017
Discussion open until: Aug 27, 2017
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