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The phrase "and the standard errors of the" is correct and usable in written English.
It can be used in statistical or research contexts when discussing the variability or precision of estimates.
Example: "The results indicate a significant difference between the two groups, and the standard errors of the estimates were calculated to assess the reliability of the findings."
Alternatives: "and the associated standard errors" or "and the standard deviations of the".
Exact(19)
These in turn depend on the goodness of fit of the macro-econometric model (R 2) and the standard errors of the estimated parameters reported in Table 1.
In Figure 4a, b, the sample average is shown as a solid line and the standard errors of the sample mean as dotted lines.
To answer the second research question, which sought potentially significant differences in the students' gain in linguistic and pragmatic knowledge, means and standard deviations of the students' pre- and post- GST and DCT scores, along with the adjusted mean scores and the standard errors of the post-test, were calculated for both groups, as shown in Table 3.
Values are the mean and the standard errors of the mean (S.E.M ., unless otherwise indicated.
For the simulation, the HRs and the standard errors of the HRs were averaged on the log scale (1000 replications).
We examined the estimated slope coefficients and the standard errors of the mean and found no indication of collinearity.
Similar(41)
Error bars represent the standard errors of the means (SEM).
The error bars denote the standard error of the mean.
The error bar denotes the standard error of the mean.
Error bars represent the standard error of the mean.
Error bars indicate the standard error of the mean.
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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