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. Author manuscript; available in PMC: 2022 Jan 30.
Published in final edited form as: Stat Med. 2020 Nov 12;40(2):403–426. doi: 10.1002/sim.8781

TABLE 4.

Synthesized standardized mean differences and 95% confidence intervals produced by various methods in the two datasets.

Method Meta-analysis on disease activity indices Meta-analysis on depression and depressive symptoms
Crohn’s disease Ulcerative colitis Overall Depression Depressive symptoms Overall
Cohen’s d, Eq. (4) −0.115 0.062 −0.028 −0.552 −0.265 −0.326
(−0.358, 0.129) (−0.187, 0.311) (−0.202, 0.146) (−1.071, −0.034) (−0.456, −0.075) (−0.516, −0.136)
[−0.405, 0.176] [−0.078, 0.203] [−0.176, 0.119] [−1.236, 0.131] [−0.484, −0.046] [−0.542, −0.111]
Cohen’s d, Eq. (5) −0.124 0.062 −0.033 −0.554 −0.266 −0.329
(−0.363, 0.115) (−0.182, 0.306) (−0.203, 0.138) (−1.068, −0.040) (−0.456, −0.075) (−0.519, −0.138)
[−0.430, 0.182] [−0.080, 0.204] [−0.187, 0.121] [−1.234, 0.126] [−0.484, −0.047] [−0.545, −0.112]
Cohen’s d, Eq. (6) −0.126 0.062 −0.034 −0.554 −0.266 −0.329
(−0.365, 0.113) (−0.182, 0.306) (−0.204, 0.136) (−1.068, −0.041) (−0.456, −0.075) (−0.520, −0.139)
[−0.436, 0.184] [−0.080, 0.204] [−0.190, 0.122] [−1.234, 0.125] [−0.485, −0.047] [−0.546, −0.113]
Hedges’ g, Eq. (10) −0.117 0.061 −0.030 −0.539 −0.265 −0.324
(−0.355, 0.122) (−0.183, 0.304) (−0.200, 0.141) (−1.044, −0.033) (−0.455, −0.075) (−0.512, −0.136)
[−0.400, 0.166] [−0.077, 0.198] [−0.174, 0.115] [−1.207, 0.130] [−0.483, −0.046] [−0.536, −0.111]
Hedges’ g, Eq. (11) −0.126 0.060 −0.035 −0.540 −0.265 −0.326
(−0.360, 0.108) (−0.178, 0.299) (−0.202, 0.132) (−1.041, −0.039) (−0.455, −0.075) (−0.515, −0.138)
[−0.425, 0.172] [−0.078, 0.199] [−0.186, 0.116] [−1.205, 0.125] [−0.483, −0.047] [−0.540, −0.113]
Hedges’ g, Eq. (12) −0.128 0.060 −0.036 −0.541 −0.265 −0.327
(−0.362, 0.105) (−0.178, 0.299) (−0.203, 0.131) (−1.041, −0.040) (−0.455, −0.075) (−0.515, −0.138)
[−0.431, 0.174] [−0.078, 0.199] [−0.189, 0.117] [−1.206, 0.124] [−0.483, −0.047] [−0.540, −0.113]
Hedges’ g, Eq. (13) −0.120 0.061 −0.032 −0.539 −0.265 −0.324
(−0.359, 0.118) (−0.183, 0.304) (−0.202, 0.139) (−1.044, −0.034) (−0.455, −0.075) (−0.512, −0.136)
[−0.411, 0.170] [−0.077, 0.198] [−0.179, 0.116] [−1.207, 0.129] [−0.483, −0.046] [−0.537, −0.112]
Hedges’ g, Eq. (14) −0.116 0.061 −0.030 −0.539 −0.265 −0.324
(−0.355, 0.122) (−0.183, 0.304) (−0.200, 0.141) (−1.044, −0.033) (−0.455, −0.075) (−0.512, −0.136)
[−0.399, 0.166] [−0.077, 0.198] [−0.174, 0.115] [−1.207, 0.130] [−0.483, −0.046] [−0.536, −0.111]
Hedges’ g, Eq. (20) −0.130 0.061 −0.037 −0.545 −0.266 −0.330
(−0.368, 0.107) (−0.182, 0.304) (−0.207, 0.133) (−1.046, −0.044) (−0.456, −0.075) (−0.519, −0.140)
[−0.440, 0.179] [−0.077, 0.199] [−0.193, 0.119] [−1.210, 0.120] [−0.484, −0.047] [−0.544, −0.115]
{−0.370, 0.109} {−0.183, 0.305} {−0.208, 0.134} {−1.050, −0.040} {−0.456, −0.075} {−0.520, −0.139}
Hedges’ g, Eq. (21) −0.126 0.061 −0.035 −0.544 −0.265 −0.328
(−0.367, 0.115) (−0.184, 0.306) (−0.206, 0.136) (−1.048, −0.040) (−0.456, −0.075) (−0.517, −0.139)
[−0.429, 0.176] [−0.077, 0.199] [−0.188, 0.118] [−1.211, 0.123] [−0.484, −0.047] [−0.542, −0.114]
{−0.365, 0.113} {−0.182, 0.305} {−0.206, 0.136} {−1.048, −0.039} {−0.456, −0.075} {−0.518, −0.139}
Hedges’ g, Eq. (22) −0.142 0.061 −0.043 −0.545 −0.266 −0.331
(−0.381, 0.097) (−0.178, 0.299) (−0.212, 0.126) (−1.043, −0.047) (−0.456, −0.075) (−0.520, −0.141)
[−0.468, 0.184] [−0.079, 0.200] [−0.206, 0.120] [−1.209, 0.118] [−0.484, −0.047] [−0.545, −0.116]
{−0.382, 0.098} {−0.183, 0.304} {−0.214, 0.128} {−1.048, −0.042} {−0.456, −0.075} {−0.521, −0.140}

Note: the confidence intervals inside parentheses are derived using the conventional method in Equation (23); those inside square brackets are derived using the Hartung–Knapp–Sidik–Jonkman method in Equation (24); and those inside braces are derived using the method in Equation (26).

The confidence intervals not encompassing 0 are in boldface.