Table 2:

Variance estimates based on 10,000 simulation runs; the probability of treatment in the collection of trials was estimated by averaging the trial-specific treatment probabilities.

$\mathit{a}$	$\mathit{n}$	${\sum }_{\mathit{s}=1}^3{\mathit{n}}_{\mathit{s}}$	Balanced	TxAM varies	${\widehat{\mathit{\psi }}}_{\text{aug}}\left(\mathit{a}\right)$	${\widehat{\mathit{\psi }}}_{\mathbf{g}}\left(\mathit{a}\right)$	${\widehat{\mathit{\psi }}}_{\mathbf{w}}\left(\mathit{a}\right)$
1	10000	2000	Yes	No	0.0105	0.0038	0.2893
1	10000	2000	Yes	Yes	0.0084	0.0035	0.1945
1	10000	2000	No	No	0.0101	0.0038	0.2167
1	10000	2000	No	Yes	0.0088	0.0038	0.1925
1	100000	2000	Yes	No	0.0144	0.0039	0.3316
1	100000	2000	Yes	Yes	0.0120	0.0035	0.3610
1	100000	2000	No	No	0.0143	0.0039	0.4028
1	100000	2000	No	Yes	0.0128	0.0037	0.2925
0	10000	2000	Yes	No	0.0103	0.0039	0.1165
0	10000	2000	Yes	Yes	0.0131	0.0042	0.1509
0	10000	2000	No	No	0.0101	0.0039	0.1136
0	10000	2000	No	Yes	0.0118	0.0040	0.1551
0	100000	2000	Yes	No	0.0151	0.0039	0.1873
0	100000	2000	Yes	Yes	0.0198	0.0043	0.2699
0	100000	2000	No	No	0.0146	0.0038	0.1663
0	100000	2000	No	Yes	0.0218	0.0040	0.3243

In the column titled Balanced, Yes denotes scenarios in which the trials had on average equal sample sizes; No denotes scenarios with unequal trial sample sizes. In the column titled TxAM varies, Yes denotes scenarios in which the treatment assignment mechanism varied across trials; No denotes scenarios in which the mechanism did not vary.