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. 2015 Sep 2;7(1):55–79. doi: 10.1002/jrsm.1164

Table 3.

Overview of the estimators for the between‐study variance.

Estimator Abbreviation Iterative/Non‐iterative Positive/Non‐negative
Method of moments estimators
DerSimonian and Laird DL Non‐iterative Non‐negative
Positive DerSimonian and Laird DLp Non‐iterative Positive
Two‐step DerSimonian and Laird DL2 Non‐iterative Non‐negative
Hedges and Olkin HO Non‐iterative Non‐negative
Two‐step Hedges and Olkin HO2 Non‐iterative Non‐negative
Paule and Mandel PM Iterative Non‐negative
Hartung and Makambi HM Non‐iterative Positive
Hunter and Schmidt HS Non‐iterative Non‐negative
Maximum likelihood estimators
Maximum likelihood ML Iterative Non‐negative
Restricted maximum likelihood REML Iterative Non‐negative
Approximate restricted maximum likelihood AREML Iterative Non‐negative
Model error variance estimator
Sidik and Jonkman SJ Non‐iterative Positive
Bayes estimators
Rukhin Bayes RB Iterative Non‐negative
Positive Rukhin Bayes RBp Iterative Positive
Full Bayes FB Iterative Non‐negative
Bayes Modal BM Iterative Positive
Bootstrap estimator
Non‐parametric bootstrap DerSimonian and Laird DLb Iterative Non‐negative