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It was also found that the standard deviation of the samples was correlated to the error in estimation in the single-parameter estimation case.
The statistical parameters (mean, standard deviation) of the samples from the four different clustering methods were calculated because they described the distribution of each sample under parametric statistics.
The error bars presented in each figure are based on the standard deviation of the samples prepared and pre-aged in a same batch before post-aging on the assumption that no significant change takes place immediately after treatment.
Statistical analysis ensured a small standard deviation of the samples (within 1 2% error) and the generated extinction coefficient was found to be in good agreement with published data [ 42].
We define the ordinary two-sample t-statistic [ 21] as (18) T i x ¯ i - ȳ i s i Where x ¯ i, ȳ i, and s i are the mean of case, mean of control, and the standard deviation of the samples for metabolite i.
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This information yields the mean and the standard deviation of the sample peaks, which are then used to determine the extreme coefficients associated at any selected probability level of non-exceedence.
What is the standard deviation of the sample means?
With the t-statistic, the standard deviation of the population is estimated with the standard deviation of the sample.
(1) The standard deviation of the sample means equals the known population standard deviation divided by the square root of the sample size (n).
If the standard deviation is not known, then the standard error must be estimated using the standard deviation of the sample(s).
Table 1 Demographics (mean ± standard deviation) of the sample populations of the different stakeholder groups interviewed across the study sites.
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