Lp: Likelihood functions

In UBCRM: Simulate and Conduct Dose-Escalation Phase I Studies

Likelihood functions

Description

Lp is the likelihood function for the power model psy(s,a)=s^exp(a). Lt is the likelihood function for the hyperbolic tangent model psy(s,a)= ((tanh(s)+1)/2)**a. Ll is the likelihood function for the logistic model psy(s,a) = exp(3+a*s)/(1+exp(3+a*s)).

Usage

Lp(a, data, sgl)
Lt(a, data, sgl)
Ll(a, data, sgl)

Arguments

a	Parameter.
data	CRM dataframe with a CreData() structure.
sgl	Dose level singleton.

Value

Numeric value of the computed likelihood.

Author(s)

Benjamin Esterni, Baboukar Mane. Unite de Biostatistique et de Methodologie, Institut Paoli-Calmettes, Marseille, France.

References

O'Quigley J., Pepe M., Fisher L. (1990). Continual Reassessment Method: a practical design for Phase I clinical trials in cancer. Biometrics 46, 33-48. <https://doi.org/10.2307/2531628>

O'Quigley J., Shen LZ. (1996). Continual Reassessment Method: a likelihood approach. Biometrics 52, 673-684. <https://doi.org/10.2307/2532905>

Paoletti X., Kramar A. (2009). A comparison of model choices for the Continual Reassessment Method in phase I cancer trials. Statistics in Medecine 28, 3012-3028. <https://doi.org/10.1002/sim.3682>

Chamorey Emmanuel. (2009). Methodologie des essais de phase precoce en cancerologie: evolution des schemas et apport de la pharmacologie. These.

Garret-Mayer Elizabeth. (2006). The Continual Reassessment Method for dose-finding studies: a tutorial. Clinical Trials: 57-71. <https://doi.org/10.1191/1740774506cn134oa>

UBCRM documentation built on May 29, 2024, 10:37 a.m.