Pooling for Emax parameter. Can take "rel", "common", "random" or be
assigned a numeric value (see details).
ed50
Pooling for ED50 parameter. Can take "rel", "common", "random" or be
assigned a numeric value (see details).
hill
Pooling for Hill parameter. Can take "rel", "common", "random" or be
assigned a numeric value (see details).
p.expon
A logical object to indicate whether ed50 and hill parameters should be
expressed within the dose-response function on an exponential scale
Dose-response parameters
Argument
Model specification
"rel"
Implies that relative effects should be pooled for this dose-response parameter separately for each agent in the network.
"common"
Implies that all agents share the same common effect for this dose-response parameter.
"random"
Implies that all agents share a similar (exchangeable) effect for this dose-response parameter. This approach allows for modelling of variability between agents.
Assigned a numeric value, indicating that this dose-response parameter should not be estimated from the data but should be assigned the numeric value determined by the user. This can be useful for fixing specific dose-response parameters (e.g. Hill parameters in Emax functions) to a single value.
When relative effects are modelled on more than one dose-response parameter,
correlation between them is automatically estimated using a vague inverse-Wishart prior.
This prior can be made slightly more informative by specifying the scale matrix omega
and by changing the degrees of freedom of the inverse-Wishart prior
using the priors argument in mbnma.run().
Details
Emax represents the maximum response.
exp(ED50) represents the dose at which 50% of the maximum response is achieved.
exp(Hill) is the Hill parameter, which allows for a sigmoidal function.
Without Hill parameter:
$$\frac{E_{max}\times{x}}{ET_{50}+x}$$
With Hill parameter:
$$\frac{E_{max}\times{x^{hill}}}{ET_{50}\times{hill}}+x^{hill}$$
# Model without a Hill parameterdemax(emax="rel", ed50="common")
# Model including a Hill parameter and defaults for Emax and ED50 parametersdemax(hill="common")