Table 5 Metric conversion table
Input metric(s) | Condition | Conversion | Output metric |
|---|---|---|---|
Population Means | Population study | \(\frac{\left({\mu }_{post}-{\mu }_{pre}\right)}{{\mu }_{pre}}\) | % Change |
Sample Means, sample standard deviations, sample size | Sample study | \(\frac{{\left( {\overline{{\text{X}}}_{post} \, - \,\overline{{\text{X}}}_{pre} } \right)}}{{\left( {\frac{{\left( {N - 1} \right)*SD_{post}^{2} + \left( {N - 1} \right)*SD_{pre}^{2} }}{{\left( {N + 1} \right) + \left( {N - 1} \right)}}} \right)}}\) | Cohen’s D |
Z-statistic, sample size | – | \(2* \frac{z}{\sqrt{N}}\) | Cohen’s D |
t-statistic | – | \(2* \frac{t}{\sqrt{N-1}}\) | Cohen’s D |
Unstandardized B, standard deviations | Standard deviations provided | \(B*\frac{{SD_{{predictor\,variable}} }}{{SD_{{outcome\,variable}} }}\) | Beta |
Unstandardized B, Grand mean | Grand mean provided | \(\frac{B}{Mean}\) | B* |
Unstandardized B | Logit regression | \({e}^{B}\) | Odds ratio |