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Table 3 Point and confidence-interval estimates for τ2 and λ in fixed-effect (FE) and random-effects meta-analysis of the effect of low-dose dopamine on Day 1 urine output, compared with placebo or no therapy. The heterogeneity parameter is τ2. L and U denote the lower and upper limits of the 95% confidence intervals

From: Estimation in meta-analyses of response ratios

Method τ2 \(\tau _{L}^{2}\) \(\tau _{U}^{2}\) \(\hat {\lambda }\) L U \(\exp (\hat {\lambda })\) L U
All 34 studies          
FE 0    0.207 0.172 0.243 1.230 1.188 1.275
DL, QP 0.038 0.029 0.164 0.216 0.133 0.298 1.241 1.143 1.348
BJ   0.018 0.089       
J 0.057 0.030 0.118 0.219 0.123 0.315 1.244 1.130 1.370
REML, PL 0.041 0.018 0.094 0.216 0.131 0.301 1.241 1.140 1.351
MP 0.067    0.220 0.118 0.322 1.246 1.125 1.380
HKSJ (DL)     0.216 0.116 0.315 1.241 1.123 1.371
HKSJ MP     0.220 0.114 0.326 1.246 1.120 1.386
SSW, SSW MP     0.210 0.061 0.359 1.234 1.063 1.432
\(\hat {\lambda }^{\Delta }\) & FE 0    0.196 0.153 0.240 1.217 1.165 1.271
\(\hat {\lambda }^{\Delta }\) & DL, QP 0.032 0.015 0.126 0.212 0.128 0.295 1.236 1.137 1.344
\(\hat {\lambda }^{\Delta }\) & BJ   0.014 0.081       
\(\hat {\lambda }^{\Delta }\) & J 0.046 0.019 0.105 0.214 0.120 0.308 1.238 1.127 1.360
\(\hat {\lambda }^{\Delta }\) & REML, PL 0.029 0.011 0.071 0.211 0.130 0.292 1.235 1.139 1.339
\(\hat {\lambda }^{\Delta }\) & MP 0.043    0.213 0.121 0.306 1.238 1.129 1.357
\(\hat {\lambda }^{\Delta }\) & HKSJ (DL)     0.212 0.119 0.304 1.236 1.126 1.356
\(\hat {\lambda }^{\Delta }\) & HKSJ MP     0.213 0.118 0.309 1.238 1.125 1.362
\(\hat {\lambda }^{\Delta }\) & SSW, SSW MP     0.209 0.079 0.338 1.232 1.082 1.402
10 studies in Other surgery          
FE 0    0.273 0.206 0.339 1.314 1.229 1.404
DL, QP 0.093 0.064 0.984 0.291 0.070 0.511 1.337 1.073 1.667
BJ   0.030 0.528       
J 0.146 0.054 0.611 0.303 0.038 0.567 1.353 1.039 1.764
REML, PL 0.161 0.038 0.672 0.305 0.029 0.582 1.357 1.029 1.789
MP 0.226    0.314 −0.005 0.633 1.369 0.995 1.884
HKSJ (DL)     0.291 −0.045 0.627 1.337 0.956 1.872
HKSJ MP     0.314 −0.054 0.682 1.369 0.947 1.979
SSW, SSW MP     0.270 −0.347 0.888 1.310 0.706 2.430
\(\hat {\lambda }^{\Delta }\) & FE 0    0.244 0.164 0.324 1.277 1.178 1.383
\(\hat {\lambda }^{\Delta }\) & DL, QP 0.088 0.034 0.895 0.275 0.050 0.501 1.317 1.051 1.650
\(\hat {\lambda }^{\Delta }\) & BJ   0.026 0.518       
\(\hat {\lambda }^{\Delta }\) & J 0.128 0.041 0.568 0.285 0.025 0.544 1.329 1.025 1.724
\(\hat {\lambda }^{\Delta }\) & REML, PL 0.091 0.020 0.473 0.276 0.048 0.505 1.318 1.049 1.656
\(\hat {\lambda }^{\Delta }\) & MP 0.166    0.292 0.003 0.580 1.339 1.003 1.787
\(\hat {\lambda }^{\Delta }\) & HKSJ (DL)     0.275 −0.032 0.582 1.317 0.969 1.790
\(\hat {\lambda }^{\Delta }\) & HKSJ MP     0.292 −0.041 0.625 1.339 0.960 1.868
\(\hat {\lambda }^{\Delta }\) & SSW, SSW MP     0.271 −0.266 0.808 1.312 0.767 2.243