utility23_normal: Utility function for multitrial programs deciding between two...

In Sterniii3/drugdevelopR: Utility-Based Optimal Phase II/III Drug Development Planning

Utility function for multitrial programs deciding between two or three phase III trials for a normally distributed outcome

Description

The utility function calculates the expected utility of our drug development program and is given as gains minus costs and depends on the parameters and the expected probability of a successful program. The utility is in a further step maximized by the optimal_multitrial_normal() function.

Usage

utility23_normal(
  n2,
  kappa,
  w,
  Delta1,
  Delta2,
  in1,
  in2,
  a,
  b,
  alpha,
  beta,
  c2,
  c3,
  c02,
  c03,
  b1,
  b2,
  b3
)

Arguments

n2	total sample size for phase II; must be even number
kappa	threshold value for the go/no-go decision rule
w	weight for mixture prior distribution
Delta1	assumed true treatment effect for standardized difference in means
Delta2	assumed true treatment effect for standardized difference in means
in1	amount of information for Delta1 in terms of sample size
in2	amount of information for Delta2 in terms of sample size
a	lower boundary for the truncation
b	upper boundary for the truncation
alpha	significance level
beta	1-beta power for calculation of sample size for phase III
c2	variable per-patient cost for phase II
c3	variable per-patient cost for phase III
c02	fixed cost for phase II
c03	fixed cost for phase III
b1	expected gain for effect size category "small"
b2	expected gain for effect size category "medium"
b3	expected gain for effect size category "large"

Value

The output of the function utility23_normal() is the expected utility of the program depending on whether two or three phase III trials are performed.

Examples

utility23_normal(n2 = 50, kappa = 0.2, w = 0.3, alpha = 0.025, beta = 0.1,
                                Delta1 = 0.375, Delta2 = 0.625, in1 = 300, in2 = 600, 
                                a = 0.25, b = 0.75, 
                                c2 = 0.675, c3 = 0.72, c02 = 15, c03 = 20,
                                b1 = 3000, b2 = 8000, b3 = 10000)

Sterniii3/drugdevelopR documentation built on Jan. 26, 2024, 6:17 a.m.