. Author manuscript; available in PMC: 2020 Aug 7.

Published in final edited form as: Quant Method Psychol. 2019;15(2):96–111. doi: 10.20982/tqmp.15.2.p096

Table 2.

Monte Carlo Analyses of the Standard Errors and Coverage for the Effect Sizes (GMA ds) as a Function of GMA Δ and Sample Size for Three Methods

			Monte Carlo Results						Bias Estimates
N	δ	SD	Avg			Coverage			Raw			Percent			CI
			Eq	Delta	BTSP	Eq	Delta	BTSP	Eq	Delta	BTSP	Eq	Delta	BTSP	Eq	Delta	BTSP
50	.3464	.4506	.4325	.4355	.4626	.936	.942	.954	−.0181	−.0151	.0120	4.02	3.35	2.66	.014	.008	−.004
50	.6928	.4539	.4325	.4391	.4664	.935	.941	.954	−.0214	−.0148	.0125	4.71	3.26	2.75	.015	.009	−.004
100	.3464	.3095	.3040	.3055	.3142	.942	.945	.952	−.0055	−.0040	.0047	1.78	1.29	1.52	.008	.005	−.002
100	.6928	.3117	.3040	.3079	.3167	.943	.947	.952	−.0077	−.0038	.0050	2.47	1.22	1.60	.007	.003	−.002
150	.3464	.2532	.2477	.2487	.2532	.940	.942	.946	−.0055	−.0045	.0000	2.17	1.78	.00	.010	.008	.004
150	.6928	.2551	.2477	.2506	.2552	.939	.942	.946	−.0074	−.0045	.0001	2.90	1.76	.04	.011	.008	.004
250	.3464	.1938	.1915	.1922	.1941	.947	.948	.950	−.0023	−.0016	.0003	1.19	.83	.15	.003	.002	.000
250	.6928	.1952	.1915	.1937	.1956	.945	.948	.949	−.0037	−.0015	.0004	1.90	.77	.20	.005	.002	.001
500	.3464	.1373	.1353	.1357	.1364	.944	.945	.948	−.0020	−.0016	−.0009	1.46	1.17	.66	.006	.005	.002
500	.6928	.1383	.1353	.1367	.1375	.944	.946	.947	−.0030	−.0016	−.0008	2.17	1.16	.58	.006	.004	.003
Mdn						.942	.945	.950				2.17	1.25	.62	.008	.005	.000

Note. Avg = average SE_d across replications, Coverage = 95% coverage for b, CI = 95% confidence interval, Eq = equations approach with delta statistics, delta = delta method, BTSP = percentile bootstrap. Numbers in Eq columns were from Feingold (2015).