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Exact(37)
Whilst all displayed some bias in the estimation of the standard error of estimates of the population mean, the bias was small and consistent with theoretical expectations.
We used Poisson regression models with robust estimation of the standard errors to estimate relative risk for dichotomous birth outcomes, including preterm birth (<37 wk gestation), low birth weight (<2.5 kg, LBW), stunting (LAZ < −2), small head circumference (HCZ < −2), and small for gestational age [ 45].
The modified Poisson regression model, a model that uses a robust error variance, was preferred to avoid under estimation of the standard errors for the estimated risk ratios that is usually the case with logistic regression modelling when the prevalence of the outcome is greater than 10%% [ 17, 18].
When the standard deviation was not reported, it was estimated based on other statistics that allow calculation or estimation of the standard deviation (for example, confidence interval, standard error, t-value, P-value, F value).
It turns out that the optimal bandwidth for interval estimation has a different expansion rate and is typically substantially larger than the optimal bandwidth for point estimation of the standard errors.
The estimation of the standard rate constant can be carried out either by direct fitting between the simulated and experimentally measured data, or by using the working curves derived by simulations.
Similar(23)
All the estimators were slightly biased towards under-estimation of the standard error of the estimate of the population mean (Table 4) whether or not an analytical estimator (Eqs. 3.2, 4.1, 7.1) or bootstrapping (all other cases) was used.
Data from the present pilot study are invaluable in allowing a more accurate estimation of both the standard deviation of the outcome variables, and the effect size of clinical importance for the power calculation in a future trial.
If recoding or estimation is required, e.g., estimates of the standard deviation from the range, the algorithm should be specified.
Three measures of reliability are explored and incorporated in the estimation of the models: standard deviation (a classical measure in the research literature); shortened right range (typically found in departure time choice models); and interquartile range (75th 25th percentile).
As far as the estimation of the noise standard deviation is concerned, usual solutions based on standard robust estimators such as the median absolute deviation (MAD [34], the trimmed or the winsorized estimators[35] do not apply.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com