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Table 3 Folding-back decision tree analysis calculation

From: The management of an endodontically abscessed tooth: patient health state utility, decision-tree and economic analysis

Tooth

Utility measurement

Treatment option

EUV calculationα

Molar

Standard gamble

CC

[74.47 × 0.900 × 0.953]+ [(0.00 × 0.900 × 0.047)]+ [0.00 × 0.100] = 63.87 utile

  

STI

[78.60 × .951] + [0.00 × 0.049] = 74.75 utile

  

CDB

[76.22 × 0.976 × 0.940] + [0.00 × 0.976 × 0.940] + [(76.22 × 0.940 × 0.900) + (0.00 × 0.940 × 0.900)] + (0.00 × 0.100)] × 0.024 = 71.47 utile

  

RPD

= [64.80 × 0.761] + [0.00 × 0.239] = 49.31 utile

 

Willingness-to-pay

CC

[$1,782.05 × 0.900 × 0.953]+ [($0.00 × 0.900 × .047)]+ [$0.00 × 0.100] = 1,528.46 $CDN

  

STI

[$1,871.78 × 0.951] + [$0.00 × 0.049] = 1,780.07 $CDN

  

CDB

[$1,605.13 × 0.976 × 0.940] + [$0.00 × 0.976 × 0.940] + [($1,605.13 × 0.940 × 0.900) + ($0.00 × 0.940 × 0.900)] + ($0.00 × 0.100)] × 0.024 = $1,505.20 $CDN

  

RPD

[$1,351.28 × 0.761] + [$0.00 × 0.239] = 1,028.32 $CDN

Incisor

Standard gamble

CC

[88.50 × 0.900 × .953]+ [(0.00 × 0.900 × .047)]+ [0.00 × 0.100] = 75.91utile

  

STI

[90.68 × .951] + [0.00 × .049] = 86.24 utile

  

CDB

[89.78 × 0.976 × 0.940] + [0.00 × 0.976 × 0.940] + [(89.78 × 0.940 × 0.900) + (0.00 × 0.940 × 0.900)] + (0.00 × 0.100)] × 0.024 = 84.91 utile

  

RPD

[91.10 × 0.761] + [0.00 × 0.239] = 69.33 utile

 

Willingness-to-pay

CC

[$2,552.50 × 0.900 × 0.953]+ [($0.00 × 0.900 × 0.047)]+ [$0.00 × 0.100] = 2,189.28 $CDN

  

STI

[$2,515.00 × 0.951] + [$0.00 × 0.049] = 2,391.76 $CDN

  

CDB

[$2,345.00 × .976 × 0.940] + [$0.00 × .976 × 0.940] + [($2,345.00 × 0.940 × 0.900) + ($0.00 × 0.940 × 0.900)] + ($0.00 × 0.100)] × 0.024 = 2,199.10$CDN

  

RPD

[$2,090.00 × 0.761] + [$0.00 × 0.239] = 1,590.49 $CDN

  1. α-The expected-utility-value is the weighted average of the respective standard gamble and willingness-to-pay utilities for the respective dental of an abscessed 1st mandibular molar and maxillary central incisor