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[R-meta] Data Extraction

Dear Tobias,

The difference between the upper and lower CI bounds divided by the appropriate critical t-value should be *twice* the SE. So:

SE <- (9.3 - -5.7) / (2*1.99) 

should be the SE of the difference in the mean change between the two groups. Dividing this by sqrt(1/n1 + 1/n2) should give you the SD of the change scores (assuming homoscedasticity of the change variances in the two groups), so:

SD <- SE / sqrt(1/30 + 1/36)

Hence:

1.8/SD 

yields approximately 0.12. Sure you can apply the bias correction, but this is hardly relevant here.

More importantly, this d-value standardizes the difference between the two groups based on the (pooled) SD of the change scores. This is not comparable to d-values that use the SD of a single time point for the standardization.

Best,
Wolfgang