Continuous reported as mean or mean difference
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Means (M1 and M2), standard deviations
(S1 and S2) and sample size per group
(n1 and n2)
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\[\frac{M_{1}-M_{2}}{S}\]
where
S\(=\sqrt{\frac{{{(n}_{1}-1)}^{2}S_{1}+{{(n}_{2}-1)}^{2}S_{2}}{n_{1}+n_{1}-2}}\)=
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\[\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}+\frac{d^{2}}{n_{1}+n_{2}-2}}\]
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Binary reported using odds ratios |
Natural logarithm of odds ratio
(lnOR) and standard error of log odds ratio SElnOR. This
can be obtained from a 95% confidence interval for the odds ratio by
taking natural logs and dividing by 2x1.96 |
\(\frac{\sqrt{3}}{\pi}\text{lnOR}\) |
\(\frac{\sqrt{3}}{\pi}\text{SE}_{\text{lnOR}}\) |
Raw binary data
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Raw binary data (c1/n1 and
c2/n2) where c1 and
c2 are the number of participants complying with the
behaviour of interest by group.
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OR = \(\frac{\frac{c_{1}}{n_{1}-c_{1}}}{\frac{c_{2}}{n_{2}-c_{2}}}\)
Take natural log and continue as above
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\[\text{SE}_{\text{lnOR}}=\sqrt{\frac{1}{c_{1}}+\frac{1}{{n_{1-}c}_{1}}+\frac{1}{c_{2}}+\frac{1}{{n_{2-}c}_{2}}}\]
Continue as above
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