num_dose_path_nodes: Number of nodes in dose-paths analysis

In escalation: Modular Approach to Dose Finding Clinical Trials

Number of nodes in dose-paths analysis

Description

Number of possible nodes in an exhaustive analysis of dose-paths in a dose-finding trial. The number of nodes at depth i is the the number of nodes at depth i-1 multiplied by the number of possible cohort outcomes at depth i. For instance, if there were 16 nodes at the previous depth and four possible cohort outcomes at the current depth, then there are 64 possible nodes at the current depth. Knowing the number of nodes in a dose-paths analysis helps the analyst decide whether simulation or dose-paths are a better tool for assessing operating characteristics of a dose-finding design.

Usage

num_dose_path_nodes(num_patient_outcomes, cohort_sizes)

Arguments

num_patient_outcomes	integer, number of distinct possible outcomes for each single patient
cohort_sizes	integer vector of cohort sizes

Value

integer vector, number of nodes at increasing depths. The total number of nodes is the sum of this vector.

Examples

# In a 3+3 design, there are two possible outcomes for each patient and
# patients are evaluated in cohorts of three. In an analysis of dose-paths in
# the first two cohorts of three, how many nodes are there?
num_dose_path_nodes(num_patient_outcomes = 2, cohort_sizes = rep(3, 2))
# In contrast, using an EffTox design there are four possible outcomes for
# each patient. In a similar analysis of dose-paths in the first two cohorts
# of three, how many nodes are there now?
num_dose_path_nodes(num_patient_outcomes = 4, cohort_sizes = rep(3, 2))

escalation documentation built on May 31, 2023, 6:32 p.m.