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We used a new method of transforming CSF Aβ42 measures into units of Pittsburgh compound B (PIB) PET (Weigand et al., 2010) and pooled data from patients who had only one or the other measure of Aβ load using multiple imputation measurement error models (Cole et al., 2006).
However, the measurement model (Equation 3) is not written in the way classic measurement error models are generally written, where observed measures of exposure are assumed to deviate around true unobserved exposure values with zero-error residuals.
Our results contribute to the literature on non-classical measurement error models, missing data and treatment effects.
Biases in the naive estimates in the variance components are given, such biases occurring to some degree for all of the measurement error models.
The corresponding measurement error models of integrated sensors are also proposed by using the Kalman consensus filter to estimate states and conduct data fusion in order to regulate the single sensor measurement results.
The issues of simultaneous prediction in measurement error models have been addressed in [15] and [16].
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We denote the true covariate, X, and its surrogate, W, measured with error U under the classical additive measurement error model such that W = X + U. We assume X~N 0,1), U~N 0, σu), and that given X, W contributes no additional information about the outcome, Y.
We assume that C can be measured at K discrete time points, and we use a proportional measurement error model as Kristensen et al. (2005): (8) to generate an in silico set of 20 data points (for details see Supplementary Data, section 5).
A parameterized magnetometer measurement error model was established, where the error parameters are calibrated using different calibration algorithms.
Firstly, a monocular-vision pose measurement model is established covering non-coplanar target parameters, and a pose measurement error model is deduced.
Finally, simulations are conducted and the results verify the correctness of pose measurement error model and the effectiveness of the optimized design of target parameters.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com