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Table 5 Percent models converged, percent relative bias, and percent non-coverage (in brackets).

From: A simulation study of sample size for multilevel logistic regression models

    Group Size = 5   Group Size = 30   Group Size = 50
Model Number of Groups % converged γ 00 γ 01 γ 10 γ 11 σ 0 σ 1 % converged γ 00 γ 01 γ 10 γ 11 σ 0 σ 1 % converged γ 00 γ 01 γ 10 γ 11 σ 0 σ 1
1 30 80 -3.9 (25) 12.3 (22) -0.6 (23) 2.2 (22) 14.2 (29) 44.9 (25) 100 -1.9 (4) -4.6 (6) 7.0 (5) -5.4 (8) -3.4 (11) -9.7 (14) 100 -2.8 (5) 2.7 (6) 5.9 (2) -9.0 (4) -7.1 (15) -9.8 (9)
2   84 0.3 (18) 18.0 (20) 8.0 (19) -16.0 (20) 41.1 (31) 4.8 (25) 100 -1.0 (7) 1.4 (8) 9.7 (2) -21.6 (6) -1.7 (13) -5.3 (9) 100 -1.8 (5) 0.9 (4) 6.0 (3) -25.0 (7) -5.6 (11) -6.4 (11)
3   99 -2.3 (6) 0.7 (4) -12.5 (2) -11.0 (8) 5.8 (19) 0.8 (18) 100 -3.9 (6) 0.4 (5) 15.5 (1) -7.7 (3) -4.5 (17) -5.9 (9) 100 -3.2 (7) 3.5 (3) 15.1 (4) -8.4 (7) -4.1 (12) -4.3 (12)
4   41 12.9 (60) 8.3 (62) 70.9 (60) -215 (61) 33.8 (64) 469 (64) 76 -0.2 (31) -11.2 (30) 4.0 (26) -29.0 (27) 0.3 (30) 9.7 (24) 94 0.61 (11) -9.2 (10) -1.4 (12) 35.1 (16) 0.3 (16) -4.7 (14)
5   53 16.5 (50) 54.1 (49) -7.6 (50) -103 (47) 58.9 (50) 507 (52) 93 -0.9 (12) 28.3 (8) 7.1 (7) 43.0 (13) 3.2 (13) 0.2 (12) 97 0.7 (12) -4.3 (6) -9.0 (6) 23.4 (13) -1.5 (9) 2.2 (10)
6   93 2.1 (9) -9.6 (11) 23.9 (8) 15.3 (11) -13.3 (27) 1.9 (20) 100 -3.2 (5) -1.2 (5) -4.1 (4) -3.3 (8) -15.3 (30) -7.3 (24) 100 -3.3 (4) -4.3 (4) -5.0 (6) -14.0 (6) -15.0 (29) -3.9 (28)
7   76 2.5 (5) -4.8 (3) 27.1 (3) 12.9 (4) -0.6 (19) -11.5 (23) 99 -4.4 (13) -10.7 (7) 0.0 (8) -3.6 (7) -18.9 (33) -26.6 (39) 97 -4.6 (18) -15.0 (7) -0.7 (7) -2.7 (10) -15.5 (28) -20.3 (35)
8   80 -1.0 (23) -4.9 (25) 17.2 (23) 18.6 (24) -1.5 (28) -2.5 (27) 100 1.2 (7) -2.4 (11) -8.2 (11) 5.9 (12) -15.1 (25) -19.3 (26) 100 2.6 (6) -0.7 (12) -5.5 (10) 3.6 (10) -7.1 (18) -20.7 (32)
1 50 88 5.4 (14) -4.3 (16) -6.1 (13) -4.3 (17) 19.2 (15) 23.5 (15) 100 3.0 (7) 4.7 (5) -0.5 (9) -4.2 (4) 2.1 (14) -1.8 (10) 100 3.4 (9) 2.0 (8) -0.3 (5) -4.18 (7) -3.9 (11) -4.1 (6)
2   94 10.5 (10) -0.8 (7) -2.5 (10) -5.9 (10) 22.4 (17) 15.3 (15) 100 5.0 (7) 6.5 (7) -6.4 (8) -7.8 (6) -0.4 (8) -0.2 (10) 100 3.3 (6) 4.8 (8) -7.8 (8) -10.0 (4) -3.8 (10) -3.6 (7)
3   99 11.9 (4) 14.7 (4) -1.7 (8) 5.6 (5) 20.1 (10) 13.8 (14) 100 7.1 (6) 4.2 (7) -6.5 (7) -5.2 (7) -2.9 (13) -3.4 (5) 100 6.0 (7) 3.7 (6) -8.4 (8) -3.3 (4) -2.8 (12) -2.9 (9)
4   55 11.7 (54) 17.6 (50) 52.1 (52) 129 (53) 17.9 (54) 162 (58) 92 0.9 (14) 21.1 (11) 7.3 (17) -36.1 (11) -5.4 (18) -6.3 (14) 100 0.9 (4) 32.0 (7) -6.3 (8) -14.6 (7) -5.3 (9) -3.5 (9)
5   58 5.2 (46) -30.3 (49) 49.9 (46) 4.0 (47) 25.9 (53) 224 (52) 98 3.3 (8) 5.6 (7) 9.1 (9) -34.3 (11) 7.1 (2) -2.6 (7) 100 2.1 (5) 10.2 (7) 5.9 (9) -48.3 (7) 4.3 (4) -6.8 (9)
6   100 1.5 (3) -4.0 (7) -0.5 (4) 2.12 (3) -15.0 (20) -11.4 (22) 100 -4.1 (4) -0.3 (8) 3.4 (4) -4.7 (5) -12.9 (35) -16.9 (32) 100 -3.0 (6) -1.1 (10) 1.1 (5) -10.7 (6) -6.2 (28) -10.4 (30)
7   80 2.4 (4) 8.3 (6) 27.6 (2) 8.2 (2) -3.7 (9) -6.3 (20) 98 -1.4 (7) -2.6 (9) 7.0 (6) -2.4 (8) -11.0 (22) -22.5 (38) 95 -5.7 (7) -4.0 (8) 8.1 (3) 0.0 (5) -9.3 (25) -20.8 (36)
8   98 -3.1 (4) 3.2 (4) -11.1 (4) 5.4 (8) -3.5 (11) -3.5 (19) 100 -2.6 (8) -0.8 (10) -13.4 (6) 1.2 (3) -9.0 (13) -9.0 (17) 100 -3.3 (9) 0.7 (7) -10.4 (7) 0.8 (3) -10.1 (18) -5.6 (18)
1 100 100 -0.5 (2) -8.2 (7) 5.4 (3) 2.3 (4) 0.9 (4) 2.3 (10) 100 -2.4 (6) 0.8 (7) 2.6 (4) -6.9 (4) -2.6 (10) -1.7 (4) 100 -2.4 (6) -0.3 (13) 3.1 (3) -6.0 (3) -4.0 (11) -2.8 (4)
2   100 -2.5 (6) -1.8 (2) 1.4 (5) -11.0 (5) 11.8 (6) 1.9 (9) 100 -1.9 (5) -0.4 (12) 6.5 (2) -11.9 (4) -6.3 (9) -1.6 (5) 100 -2.2 (7) 0.0 (15) 3.7 (0) -8.4 (4) -4.8 (8) -3.6 (3)
3   100 -3.4 (4) -0.9 (6) -0.7 (1) 0.6 (5) 4.6 (12) 2.4 (9) 100 -5.6 (3) -0.3 (9) 6.4 (4) -5.9 (3) -3.0 (8) -2.4 (8) 100 -5.1 (7) -2.1 (10) 6.5 (2) -4.7 (5) -3.7 (7) -3.7 (6)
4   66 3.4 (39) 22.5 (38) 32.2 (38) -8.4 (36) 1.7 (41) 137 (38) 100 -0.4 (4) 12.2 (7) 3.9 (3) 7.3 (5) -0.7 (7) -3.7 (10) 100 0.1 (7) 17.0 (9) -7.9 (3) -29.5 (8) -1.3 (10) -1.5 (10)
5   69 7.7 (40) 5.7 (34) -12.6 (33) -57.5 (34) 19.4 (38) 169 (36) 99 0.8 (7) -11.5 (6) -0.5 (8) -20.1 (11) 6.2 (2) 0.4 (5) 100 0.9 (6) -10.9 (3) -4.6 (6) -16.5 (9) 5.0 (1) 1.3 (4)
6   100 -4.0 (4) 4.1 (4) 2.7 (2) 17.2 (7) -13.8 (16) -20.9 (22) 100 -6.0 (11) 1.1 (5) 3.7 (3) 10.7 (10) -14.6 (29) -18.2 (34) 100 -5.8 (10) -3.8 (4) 1.3 (4) 10.4 (7) -9.7 (28) -10.8 (32)
7   94 -3.0 (7) 1.6 (7) 16.1 (2) 6.2 (5) -16.6 (22) -26.0 (26) 98 -2.6 (10) -1.6 (7) 12.2 (3) 0.4 (4) -13.9 (33) -22.5 (46) 94 -3.2 (11) -0.6 (8) 8.8 (5) -3.2 (7) -13.6 (35) -17.8 (37)
8   100 0.6 (7) 9.2 (4) -10.4 (5) 6.4 (7) -2.2 (9) -10.2 (10) 100 1.9 (8) 4.0 (3) 0.3 (6) -0.3 (4) -4.5 (16) -8.1 (17) 100 1.1 (4) 3.1 (5) -2.0 (3) 2.3 (7) -5.8 (20) -6.4 (11)