Uncertainty estimation with a small number of measurements, part II: a redefinition of uncertainty and an estimator method

Huang, Hening

doi:10.1088/1361-6501/aa96d8

Cited by 7 publications

(2 citation statements)

References 20 publications

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“…We therefore return to the philosophical goals of this exercise for guidance. Following Huang's [29] proposed error bound-based definition of uncertainty, we seek to model the uncertainty induced by the sensor noise 'as a measure of errors in a statistical manner'. Furthermore, we follow Willink's proposal that 'measurement is an act of estimation or approximation with an inevitable generation of an unknowable error', and that, by such, '[t]he statistical principles of parameter estimation become applicable and the concept of 'measurement uncertainty' becomes linked to the idea of measurement error' ([4], p 697]).…”

Section: Discussion Of Goals In Uncertainty Modeling As Selection Cri...mentioning

confidence: 99%

Determination of a probability distribution for pressure scanner noise and digitization uncertainty reporting

Semmelmayer

Reeder

Seymour

2019

Meas. Sci. Technol.

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This paper proposes a probability distribution for the discrete noise on a pressure scanner system commonly used in major US wind tunnel facilities. The level of granularity allows for a close relation between the measurement process and the imparted uncertainty. The distribution selection methodology accounts for current discussions regarding uncertainty reporting, especially the error-bound definition recently proposed. Such an error-bound definition benefits from the relationship to the measurement process and provides information to a practitioner responsible for data collection methods to assist in uncertainty reduction resource allocation. A discretized four-parameter beta distribution is fitted to satisfy the requirements for reporting the sensor noise and analog-digital conversion uncertainty.

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Section: Discussion Of Goals In Uncertainty Modeling As Selection Cri...mentioning

confidence: 99%

Determination of a probability distribution for pressure scanner noise and digitization uncertainty reporting

Semmelmayer

Reeder

Seymour

2019

Meas. Sci. Technol.

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“…the t-transformation distortion (Huang 2018d). In fact, the t-interval method has been misused in uncertainty estimation, which is discussed in detail in Huang (2018e).…”

Section: Mississippi River Discharge Measurementsmentioning

confidence: 99%

Signal content index (SCI): a measure of the effectiveness of measurements and an alternative to p -value for comparing two means

Huang¹

2020

Meas. Sci. Technol.

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The purpose of a measurement is essentially to extract a signal from a mixture of signal and noise involved in the measurement process. We refer to signal as the true value (an unknown constant) of a quantity of interest and to noise as the unexplained variation that is found within a measurement and/or between measurements. A measurement result is an estimate of the true value, which contains both signal and noise. It is intuitive that the greater the amount of signal contained in a measurement result, the more effective the measurement. This paper presents a measure of the effectiveness of measurements: the signal content index (SCI). SCI is defined as the ratio between the signal energy and the total energy of signal and noise, based on the law of conservation of energy. In principle, SCI ranges between 0 and 1, which makes its interpretation intuitive, simple, and meaningful. A high SCI value (e.g. close to 1) indicates that the estimate is mostly attributable to signal, and therefore, the measurement is highly effective. A low SCI value (e.g. close to 0) indicates that the estimate is mostly attributable to noise, and therefore, the measurement is highly ineffective. The notion of SCI is universal and can be applicable to all measurements. In particular, SCI can be used for comparing the mean of a sample against a known mean or comparing the means from two independent samples. The SCI analysis provides an alternative method to the long-existing controversial t-tests and overcomes the shortcomings of the traditionally used p -values. Moreover, the SCI analysis unifies the comparison of two means (which deals with one or two samples) and the assessment of heterogeneity in interlaboratory studies or meta-analyses (which deals with multiple samples).

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A modified Simpson model for estimating random uncertainty of moving-boat ADCP streamflow measurements

Huang¹

2018

Flow Measurement and Instrumentation

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Uncertainty estimation with a small number of measurements, part II: a redefinition of uncertainty and an estimator method

Cited by 7 publications

References 20 publications

Determination of a probability distribution for pressure scanner noise and digitization uncertainty reporting

Determination of a probability distribution for pressure scanner noise and digitization uncertainty reporting

Signal content index (SCI): a measure of the effectiveness of measurements and an alternative to p -value for comparing two means

A modified Simpson model for estimating random uncertainty of moving-boat ADCP streamflow measurements

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