Estimate log10-scale sample mean and standard deviation from natural-scale sample mean and standard deviation
convert_summary_to_log10(sample_mean, sample_SD)A list with two named elements: "log10mean" and "log10SD", the log10-scale sample means and log10-scale sample SDs, respectively.
Numeric: one or more sample means
Numeric: one or more sample SDs
Caroline Ring
\(\bar{y}_i\) is the natural-scale sample mean for group \(i\). \(s_i\) is the natural-scale sample standard deviation for group \(i\).
$$\textrm{log10-scale sample mean}_i = \log_{10} \left(\frac{\bar{y}_i^2}{\sqrt{\bar{y}_i^2 + s_i^2}} \right)$$
$$ \textrm{log10-scale sample SD}_i = \sqrt{ \log_{10} \left(1 + \frac{s_i^2}{\bar{y}_i^2} \right) } $$