mean standard errors

USAGE SUMMARY

"mean standard errors" is a correct and usable phrase in written English.
You can use it when referring to the standard errors associated with a mean, such as in an academic study or research paper. For example, "The mean standard errors for this experiment were considerable."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

14 human-written examples

In all figures containing bar plots of ROI-based beta estimates mean standard errors are additionally reported.

Cerebral Cortex

FACETS provides an estimate of the reliability of the differences between the logit scores by comparing the standard deviation of the station logit scores (0.10) with the root mean standard errors for those scores (0.1).

BMC Medical Education

Root mean standard errors of prediction for validation sets were lowest for models comprised of Raman (0.13 to 0.16) and mid-infrared (0.13 to 0.15) spectral data, while near-infrared spectroscopy led to more erroneous predictions (0.18 to 0.21).

Biotechnology for Biofuels

Descriptive statistics for the CAT simulations included CAT-to-full-scale correlations and mean standard errors (MSE), Distributional properties of the RZ and CrI statistics, including mean, standard deviation, skewness, kurtosis, and values corresponding to the 2.5 and 97.5 percentiles were calculated.

BMC Medical Research Methodology

The posterior summary estimates by the MCMC algorithm, especially by Gibbs sampler, like posterior mean, standard errors, Monte carol error, and HPD credible intervals were estimated using winBUGS software.

Journal of Big Data

For the period of observation (the whole year from May 2007 to April 2008) the mean standard errors between the predicted and experimental greenhouse air temperature and relative humidity, canopy temperature and crop transpiration were 1.8 °C, 14.8%, 1.9 °C and 14.2 W m−2, respectively, in winter and 1.3 °C, 8.6%, 1.6 °C and 21.8 W m−2, respectively, in summer.

Solar Energy

Human-verified similar examples from authoritative sources

Similar Expressions

46 human-written examples

S.E.M.: mean standard error.

BMC Complementary and Alternative Medicine

(STD and mean standard error (s.e).e

British Journal of Cancer

Values are weighted percent (standard error) or mean (standard error).

Cardiovascular Diabetology

Data as mean (standard error for mean).

Intensive Care Medicine Experimental

Root Mean Standard Error Prediction.

Biotechnology for Biofuels

Expert writing Tips

Best practice

When reporting statistical results, always include the sample size alongside the "mean standard errors" to provide context for the precision of the estimates.

Common error

Avoid using "mean standard errors" when you actually intend to report the standard deviation. Standard error refers to the variability of the sample mean, whereas standard deviation refers to the variability within the sample itself.

Linguistic Context

The phrase "mean standard errors" functions as a statistical descriptor. It specifies the average magnitude of the standard errors, providing a summary measure of the variability associated with multiple estimates. As Ludwig AI tells us, the expression is correct and usable in written English, predominantly in the scientific domain.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "mean standard errors" is a statistically valid and commonly used expression, primarily found in scientific literature. It serves to quantify the average variability in a set of estimates. As Ludwig AI confirms, its usage is correct and acceptable. When using the phrase, ensure that you're accurately representing the variability of the sample mean and not confusing it with the standard deviation. Always include the sample size for context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

average standard errors

Replaces "mean" with its synonym "average", maintaining the statistical meaning.

mean of standard errors

Alters the word order slightly while retaining the original meaning.

average of standard errors

Combines the changes of the previous two alternatives, using both "average" and the altered word order.

typical standard errors

Substitutes "mean" with "typical", suggesting a representative value.

usual standard errors

Similar to "typical", "usual" implies common or expected standard errors.

standard errors on average

Rephrases to highlight that the standard errors are considered in an average sense.

average error's standard deviation

Specifies that what we're describing is the standard deviation of the mean, or average error.

standard errors, averaged

Rearranges the phrase to emphasize the averaging process.

calculated standard errors

Focuses on the process of calculating the standard errors and obtaining a mean value.

estimated standard errors

Highlights the estimation aspect of calculating standard errors and arriving at a mean.

FAQs

How are "mean standard errors" typically reported in research papers?

The "mean standard errors" are generally presented in tables or figures, often alongside the mean values. They might appear as "mean ± standard error" or be indicated in figure captions.

What does a large "mean standard error" indicate?

A large "mean standard error" suggests that the sample mean may not be a precise estimate of the population mean, possibly due to a small sample size or high variability in the data.

Can I use something other than "mean standard errors"?

While "mean standard errors" is a precise term, depending on the context, you could use phrases like "average standard errors" or "typical standard errors". However, ensure that the alternative accurately reflects your intended meaning.

How do "mean standard errors" differ from confidence intervals?

"Mean standard errors" provide a measure of the precision of the sample mean, while confidence intervals provide a range within which the true population mean is likely to fall. They are related, but serve distinct purposes in statistical inference.