Table 2

Uncertainty tolerance (UT) associations with patient-level outcomes

ModelUT estimate−95% CI+95% CIP value*R2M (R2C)ICCAIC | BIC
Logistic models (ORs)
Tests: any ordered?
Model I0.750.401.410.181t14% (18%)5%498 | 525
Model II0.720.381.360.161t14% (18%)5%496 | 528
Model III0.720.381.350.161t17% (21%)5%491 | 530
Model IV0.740.401.360.171t18% (21%)4%493 | 541
Treatments: any ordered?
Model I0.880.521.490.321t6% (7%)1%515 | 543
Model II0.870.521.450.301t9%<1%508 | 539
Model III0.900.541.520.351t11%<1%506 | 545
Model IV0.930.551.590.401t14%<1%500 | 548
Treatments or tests: any ordered?
Model I0.650.291.470.151t11% (22%)13%451 | 478
Model II0.640.291.430.141t11% (22%)12%451 | 483
Model III0.660.301.460.151t13% (23%)11%448 | 488
Model IV0.710.351.450.161t18% (23%)7%446 | 494
Return attendance 30 days after presentation
Model I0.950.471.920.892t4%<1%320 | 348
Model II0.970.472.000.942t9%<1%312 | 344
Model III0.950.461.950.882t13%<1%311 | 351
Model IV0.970.462.040.942t13%<1%314 | 362
Admission 30 days postpresentation
Model I0.770.282.110.612t18%<1%191 | 219
Model II0.790.282.260.662t24%<1%185 | 217
Model III0.800.282.300.672t24%<1%189 | 229
Model IV0.820.282.350.712t24%<1%192 | 240
24-hour or shorter length of stay
Model I0.910.352.340.431t98%<1%196 | 224
Model II0.910.352.340.421t98%<1%198 | 230
Model III0.970.362.590.481t98%<1%198 | 238
Model IV0.970.362.590.731t98%<1%198 | 245
Linear models (unstandardised β)†
Test and treatment costs
Model I−0.01−0.060.050.371t8% (12%)4%−162 | −130
Model II−0.01−0.060.040.361t9% (13%)3%−156 | −120
Model III−0.01−0.060.040.311t13% (16%)3%−150 | −106
Model IV−0.01−0.060.040.321t13% (16%)4%−130 | −79
+ admission costs
Model I0.02−0.240.280.561t16% (17%)1%1122 | 1153
Model II−0.002−0.240.240.491t23%<1%1088 | 1123
Model III−0.005−0.240.230.481t27%<1%1082 | 1126
Model IV−0.002−0.230.230.481t28%<1%1094 | 1145
+ reattendance and return admission costs
Model I−0.05−0.340.240.371t17% (19%)2%1182 | 1213
Model II−0.07−0.330.190.291t25% (26%)<1%1141 | 1177
Model III−0.08−0.330.170.281t27%<1%1146 | 1190
Model IV−0.07−0.320.180.281t28%<1%1156 | 1208
  • R2M=variance explained by fixed effects.

  • R2C=variance explained by fixed+random effects (where random effects variance minimal R2C=R2M).

  • Bold AIC/BIC 2=model with the lowest AIC+BIC.

  • *1t/2t=one/two-tailed tests.

  • †Note the natural logarithm of all outcomes was used to mitigate skew after a constant of 182 was added to cost outcomes.

  • AIC, Akaike Information Criteria; BIC, Bayesian Information Criteria; ICC, intraclass correlation coefficients.