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Table 1 Summary of simulation model parameters

From: Assessing the properties of patient-specific treatment effect estimates from causal forest algorithms under essential heterogeneity

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