Parameter | Description | Value and Distribution |
---|---|---|
β1 | Absolute increase in treatment effect on cure when X1 = 1 | .024 |
β2 | Absolute increase in treatment effect on cure when X2 = 1 | .048 |
β3 | Absolute increase in treatment effect on cure when X3 = 1 | .071 |
β4 | Absolute increase in treatment effect on cure when X4 = 1 | .095 |
β5 | Absolute increase in treatment effect on cure when X5 = 1 | .119 |
β6 | Absolute increase in treatment effect on cure when X6 = 1 | .143 |
TEi | True treatment effect on outcome for patient “i” as a function of X1i,X2i,X3i,X4i,X5i,X6i | Ranges from 0 to .5. Distribution in Fig. 2 |
Si | Patient “i” severity level directly effecting cure but have no effect on treatment effectiveness and are unrelated to treatment choice | Distributed Uniform(-.5,.5) |
α0 | Untreated patient cure probability at mean severity level | .1 |
αS | Change in untreated patient cure probability given Si | -.1 |
V | The value patients gain when cured | $800 |
C | The cost of treatment | $200 |
Kj | The proportion of knowledge of treatment effectiveness that is patient-specific in simulation “j” | \(\left(\begin{array}{c}{0}\text{,} \, \text{.}{1}\text{,} \, \text{.}{2}\text{,} \, \text{.}{3}\text{,} \, \text{.}{4}\text{,} \, \text{.}{5}\text{,} \, \text{.}{6}\text{,} \, \\ \text{.}{7}\text{,} \, \text{.}{8}\text{,} \, \text{.}{9}\text{,} \, {1}\end{array}\right)\) |
Ui | Accumulated unmeasured factors for patient “i” which affect treatment valuation | N(0,25) |
ETEi | Expected treatment effect for patient “i” given knowledge within simulation “j” | Kj * (TEi—.25) + .25 |
EVTi | Expected value of treatment for patient “i” given ETEi | V• ETEi + C + Ui |
Ti | 1 if patient is EVEi is greater than 1, 0 otherwise | |
P(Yi|Ti,Si) | Probability patient “i” is cured given TEi, Ti, and Si | .1 + TEi•Ti + (-.1)•Si |
Yi | 1 if patient is cured, 0 otherwise | Bernoulli function of P(Yi|Ti,Si) |
Wi | Unmeasured patient factors causing variation in Yi given Ti and Si |