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[R-meta] Meta analysis subgroups

Dear All

I have two continuous variables and each has two categories as follows:

X = a and b
Y= c and d

I have calculated  the standardised mean difference (SMD)  for  *X* and *Y
using meta-analysis.*
I want to calculate *X* differences associated with *Y*.

Would you please advise me how I can do it. Here is a sample of data. Thank
you, Julie

X Y
Mean SD Mean SD Mean SD Mean SD
a a b b c c d d
12 1 14 2 10 0.3 18 0.1
11 2 13 0.5 11 0.1 14 0.3
10 1 12 1 14 1 16 0.2