Description Usage Arguments Value References See Also Examples
An integral and graph for an acceptable region for the bayesian loss function approach (see bayes_binom_two_loss
)
1 2 3 4 | tradeoff_ellipse_integrate(ar, br, at, bt, efficacy_region_min,
toxicity_region_max, efficacy_region_max, toxicity_region_min)
tradeoff_ellipse_graph(input)
|
ar, br |
Parameters for the posterior distribution for response |
at, bt |
Parameters for the posterior distribution for toxicity |
efficacy_region_min |
Smallest acceptable efficacy |
toxicity_region_max |
Largest acceptable toxicity |
efficacy_region_max |
Point where no more tradeoff occurs for efficacy |
toxicity_region_min |
Point where no more tradeoff occurs for toxicity |
input |
A list values needed for the graph. It is expecting max.patients, efficacy_region_min, toxicity_region_max and will error without |
Returns value of the integration.
Chen Y, Smith BJ. Adaptive group sequential design for phase II clinical trials: a Bayesian decision theoretic approach. Stat Med 2009; 28: 3347-3362.
Integration functions and corresponding graphs:
tradeoff_square_integrate
,tradeoff_ellipse_integrate
,tradeoff_linear_integrate
,tradeoff_ratio_integrate
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 | # modelled toxicity probability
t=c(0.1,0.1,0.3,0.3)
# modelled response probability
r=c(0.35,0.2,0.2,0.35)
reviews=c(10,15,20,25,30,35,40)
stage_after_trial=40
# uniform prior
pra=1;prb=1;pta=1;ptb=1
efficacy_critical_value=0.2
futility_critical_value=0.35
toxicity_critical_value=0.1
no_toxicity_critical_value=0.3
# alpha/beta ratio
l_alpha_beta=3
# cost of continuing compared to cost of alpha
l_alpha_c=750
efficacy_region_min=0.2
toxicity_region_max=0.3
########################################
# ellipse region
efficacy_region_min=0.2
efficacy_region_max=0.35
toxicity_region_min=0.1
toxicity_region_max=0.3
s=bayes_binom_two_loss(t,r,reviews,pra,prb,pta,ptb,l_alpha_beta,
l_alpha_c,stage_after_trial,fun.integrate=tradeoff_ellipse_integrate,
fun.graph=tradeoff_ellipse_graph,efficacy_critical_value,
toxicity_critical_value,futility_critical_value,
no_toxicity_critical_value,efficacy_region_min=efficacy_region_min,
toxicity_region_max=toxicity_region_max,
efficacy_region_max=efficacy_region_max,
toxicity_region_min=toxicity_region_min)
plot(s)
|
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