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. Author manuscript; available in PMC: 2018 May 10.
Published in final edited form as: Stat Med. 2017 Jan 18;36(10):1568–1579. doi: 10.1002/sim.7227

Table 1.

Glossary of Terms

Notation Definition
θ0 Null response rate
θa Alternative response rate
K Total number of baskets
A Number of truly active baskets
ε Target family wise error rate when A = 0
(1 − β) Target marginal power when A = 2 (or 3 depending on K)
(1 − β)min Minimum acceptable power when A = 1
n1k Stage 1 sample size for basket k
N1 Total stage 1 sample size
n2k Stage 2 sample size for basket k, given heterogeneous design path
N2 Total stage 2 sample size, given homogeneous design path
γ Assessment of heterogeneity tuning parameter
rS Minimum required number of responses in stage 1 for an individual basket to continue to stage 2,
given heterogeneous design path
rC Minimum required number of responses in stage 1 across all baskets to continue all baskets to stage 2,
given homogeneous design path
αS Significance level for final separate analyses (before correction for multiple comparisons),
given heterogeneous design path
αC Significance level for final combined analysis, given homogeneous design path
FWER Empirical family wise error rate
Pk Empirical marginal power (%) for basket k = 1, …, K
EN Expected trial sample size
ET Expected trial duration (months)