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Nonparametric Simulation Extrapolation for Measurement Error Models
Methodology · Submitted 4 Nov 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We propose an extension to the simulation extrapolation method which is nonparametric in the sense that no specific distributional assumptions are required on the error terms.
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The abstract, sentence by sentence
The presence of measurement error is a widespread issue which, when ignored, can render the results of an analysis unreliable. Numerous corrections for the effects of measurement error have been proposed and studied, often under the assumption of a normally distributed, additive measurement error model. One such method is simulation extrapolation, or SIMEX. In many situations observed data are non-symmetric, heavy-tailed, or otherwise highly non-normal. In these settings, correction techniques relying on the assumption of normality are undesirable. We propose an extension to the simulation extrapolation method which is nonparametric in the sense that no specific distributional assumptions are required on the error terms. The technique is implemented when either validation data or replicate measurements are available, and is designed to be immediately accessible for those familiar with simulation extrapolation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The presence of measurement error is a widespread issue which, when ignored, can render the results of an analysis unreliable. | background 1.00 | 0.04 | 0.03 | asserted 1.00 |
| s1 | Numerous corrections for the effects of measurement error have been proposed and studied, often under the assumption of a normally distributed, additive measurement error model. | background 1.00 | 0.03 | 0.03 | asserted 1.00 |
| s2 | One such method is simulation extrapolation, or SIMEX. | background 0.99 | 0.04 | 0.04 | asserted 1.00 |
| s3 | In many situations observed data are non-symmetric, heavy-tailed, or otherwise highly non-normal. | background 0.89 | 0.10 | 0.02 | asserted 0.91 |
| s4 | In these settings, correction techniques relying on the assumption of normality are undesirable. | background 0.56 | 0.05 | 0.05 | asserted 0.97 |
| s5 | We propose an extension to the simulation extrapolation method which is nonparametric in the sense that no specific distributional assumptions are required on the error terms. | contribution 0.99 | 0.93 | 0.60 | asserted 1.00 |
| s6 | The technique is implemented when either validation data or replicate measurements are available, and is designed to be immediately accessible for those familiar with simulation extrapolation. | method 0.87 | 0.76 | 0.13 | asserted 1.00 |
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The paper
Original abstract
The presence of measurement error is a widespread issue which, when ignored, can render the results of an analysis unreliable. Numerous corrections for the effects of measurement error have been proposed and studied, often under the assumption of a normally distributed, additive measurement error model. One such method is simulation extrapolation, or SIMEX. In many situations observed data are non-symmetric, heavy-tailed, or otherwise highly non-normal. In these settings, correction techniques relying on the assumption of normality are undesirable. We propose an extension to the simulation extrapolation method which is nonparametric in the sense that no specific distributional assumptions are required on the error terms. The technique is implemented when either validation data or replicate measurements are available, and is designed to be immediately accessible for those familiar with simulation extrapolation.
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