How to obtain the P value from a confidence interval
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We have shown in a previous Statistics Note 1 how we can calculate a confidence interval (CI) from a P value. Some published articles report confidence intervals, but do not give corresponding P values. Here we show how a confidence interval can be used to calculate a P value, should this be required. This might also be useful when the P value is given only imprecisely (eg, as P<0.05). Wherever they can be calculated, we are advocates of confidence intervals as much more useful than P values, but we like to be helpful.
The method is outlined in the box below in which we have distinguished two cases.
#### Steps to obtain the P value from the CI for an estimate of effect ( Est )
##### (a) P from CI for a difference
[1] Douglas G Altman,et al. Effect of arterial revascularisation on survival: a systematic review of studies comparing bilateral and single internal mammary arteries , 2001, The Lancet.
[2] Jinn-Tyan Lin,et al. Approximating the normal tail probability and its inverse for use on a pocket calculator , 1989 .
[3] G. Parati,et al. Statins, antihypertensive treatment, and blood pressure control in clinic and over 24 hours: evidence from PHYLLIS randomised double blind trial , 2010, British medical journal.