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Statistics in real R

Convert median and IQR to mean and SD

Meta-analyses need means and SDs, but papers often report medians with quartiles or ranges. Estimate them with Luo 2018 (mean) and Wan 2014 (SD), or get the SD from a standard error or a 95% CI, in your browser, with the methods sentence that cites the method.

n = 40 · median 12 [9–16]→ 12.4 ± 5.4mean: Luo 2018 · SD: Wan 2014

Your table

studyarmnmedianq1q3
Study 1intervention4012916
Study 1control38141018

Paste one row per arm with what the paper reports (median with quartiles or range, or mean with SE or CI); each row is converted by the method that fits what it has.

How it is chosen

Median with Q1 and Q3 → Luo 2018 for the mean and Wan 2014 for the SD; with min and max as well, the methods that use all five numbers; SE → SD = SE × √n; 95% CI → SD with the t distribution when n < 60, as in the Cochrane Handbook (section 6.5.2).

You get

R packages: runs in your browser

Questions

Is the converter free?

Yes. It runs in your browser and does not use credits.

Which formula is used for the mean?

Luo 2018: a weighted average of the median and the midpoint of the quartiles, with the weight depending on n.

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