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Table 3 The observed and model-based estimates

From: Confounding and missing data in cost-effectiveness analysis: comparing different methods

 

Cumulative Cost

........... Effectiveness (AUC)...........

 
 

DSQ <4

DSQ ≥4

Δ

DSQ <4

DSQ ≥4

Δ

ICER

Observeda mean

1818

2131

-313

0.68

1.06

-0.38

830

Observed SD

809

1323

NAe

0.41

0.52

NAe

NAe

Observed CI

(1639, 1997)

(1835, 2428)

(-657, 31)

(0.59, 0.78)

(0.94, 1.18)

(-0.53, -0.22)

NAe

Observed p-valuef

NAe

NAe

0.074

NAe

NAe

0.00

NAe

Bootstrappedb mean

1838

2147

-309

0.72

1.09

-0.37

816

Bootstrapped SE

99

160

190

0.05

0.06

0.08

498

Bootstrapped CI

(1670, 2046)

(1855, 2469)

(-665, 47)

(0.61, 0.81)

(0.98, 1.2)

(-0.52, -0.23)

(-153, 1820)

Bootstrapped p-valuef

NAe

NAe

0.094

NAe

NAe

0.00

0.098

Adjustedc mean

1912

2073

-161

0.89

0.94

-0.04

-3569

Adjusted SE

126

152

208

0.05

0.06

0.08

102341

Adjusted CI

(1678, 2181)

(1799, 2362)

(-582, 224)

(0.79, 0.99)

(0.82, 1.04)

(-0.19, 0.1)

(-30215, 35896)

Adjusted p-valuef

NAe

NAe

0.432

NAe

NAe

0.566

0.772

Predictived mean

1862

2028

-166

0.9

0.93

-0.03

-11777

Predictive SD

111

126

170

0.09

0.09

0.12

933871

Predictive CrI

(1656, 2090)

(1795, 2292)

(-501, 171)

(0.71, 1.08)

(0.75, 1.11)

(-0.26, 0.2)

(-26435, 23285)

Predictive p-valueg

NAe

NAe

NAe

NAe

NAe

NAe

NAe

  1. The observed and model-based estimates of cumulative costs and effectiveness measured by the area under the curve (AUC).
  2. aThe observed group means, and their standard deviations (SD) and group differences are not adjusted for confounders. 95% confidence intervals (CI) and tests were based on the t-test.
  3. bThe bootstrapped group means and differences, and their standard errors (SE) are based on multiply imputed and bootstrapped data but unadjusted for confounding.
  4. cThe adjusted group means and their differences are based on regression modelling. The rows marked adjusted mean and SE are based on predictive margins, frequentist inference, bootstrap and multiple imputation.
  5. dThe rows denoted by predictive means and SD are based on the hierarchical Bayesian model, posterior predictive group means and their differences, and the corresponding SDs and 95% credible intervals (CrI).
  6. eNA corresponds to not applicable results.
  7. fP-values correspond to the null hypothesis “no difference between groups” or “ICER equals zero”.
  8. gP-values are generally not sensible in Bayesian inference, thus they are not reported.