I am performing a meta-analysis with 137 study arms. From each arm I have extracted a proportion of a disease. Here are my proportions:
[1] 0.002710027 0.000000000 0.000000000 0.000000000 0.017857143 0.000000000 0.010269576 0.000000000 0.000000000 0.000000000 0.000000000
[12] 0.010000000 0.053691275 0.052631579 0.070351759 0.000000000 0.108333333 0.262626263 0.013043478 0.000000000 0.007000000 0.000000000
[23] 0.000000000 0.000000000 0.240000000 0.000000000 0.033333333 0.000000000 0.000000000 0.000000000 0.000000000 0.013201320 0.000000000
[34] 0.005361930 0.002308403 0.000000000 0.000000000 0.000000000 0.030000000 0.046296296 0.000000000 0.020000000 0.045454545 0.161073826
[45] 0.000000000 0.000000000 0.000000000 0.095238095 0.007194245 0.001472754 0.000000000 0.000000000 0.000000000 0.000000000 0.012048193
[56] 0.000000000 0.048780488 0.000000000 0.086253369 0.033898305 0.011966701 0.004162331 0.062790698 0.005555556 0.004451039 0.287356322
[67] 0.083333333 0.000000000 0.000000000 0.014666667 0.006160164 0.023809524 0.000000000 0.000000000 0.000000000 0.001552795 0.102564103
[78] 0.030555556 0.000000000 0.000000000 0.000000000 0.000000000 0.029411765 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[89] 0.003231018 0.000000000 0.037500000 0.040247678 0.000000000 0.000000000 0.007299270 0.014598540 0.000000000 0.015118790 0.000000000
[100] 0.000000000 0.005555556 0.000000000 0.000000000 0.000000000 0.003039514 0.042145594 0.250000000 0.307692308 0.324444444 0.002057613
[111] 0.008333333 0.000000000 0.027522936 0.022598870 0.000000000 0.000000000 0.000000000 0.135278515 0.033333333 0.000000000 0.000000000
[122] 0.003690037 0.003412969 0.000000000 0.017391304 0.004237288 0.033210332 0.000000000 0.008928571 0.038834951 0.030303030 0.142857143
[133] 0.170000000 0.000000000 0.112903226 0.000000000 0.007299270
A majority of the proportions has zero value. I am struggling with whether I should go for logit or arcsine transformation. One source says that arcsine transformation should not be used (1). On the other hand, I several zero counts. With logit transformation values 0 and 1 are mapped to infinity, and according to another source I should go with arcsine transformation (2). Furthermore, I found another study close to my topic in which they used arcsine transformation. The default in R with metaprop
function is logit.
Which one I should go with my data?