Conditional logit likelihood
Arguments
- starts3
Starting values as a vector (num). For this likelihood, the order takes: c([alternative-specific parameters], [travel-distance parameters]).
The alternative-specific parameters and travel-distance parameters are of length (# of alternative-specific variables) and (# of travel-distance variables) respectively.- dat
Data matrix, see output from shift_sort_x, alternatives with distance.
- otherdat
Other data used in model (as a list containing objects `intdat` and `griddat`).
For this likelihood, `intdat` are 'travel-distance variables', which are alternative-invariant variables that are interacted with travel distance to form the cost portion of the likelihood. Each variable name therefore corresponds to data with dimensions (number of observations) by (unity), and returns a single parameter.
In `griddat` are 'alternative-specific variables', that vary across alternatives, e.g. catch rates. Each variable name therefore corresponds to data with dimensions (number of observations) by (number of alternatives), and returns a single parameter for each variable (e.g. the marginal utility from catch).
For both objects any number of variables are allowed, as a list of matrices. Note the variables (each as a matrix) within `griddat` and `intdat` have no naming restrictions. 'Alternative-specific variables' may correspond to catches that vary by location, and 'travel-distance variables' may be vessel characteristics that affect how much disutility is suffered by traveling a greater distance. Note in this likelihood 'alternative-specific variables' vary across alternatives because each variable may have been estimated in a previous procedure (i.e. a construction of expected catch).
If there are no other data, the user can set `griddat` as ones with dimension (number of observations) by (number of alternatives) and `intdat` variables as ones with dimension (number of observations) by (unity).- alts
Number of alternative choices in model as length equal to unity (as a numeric vector).
- project
Name of project
- expname
Expected catch table
- mod.name
Name of model run for model result output table
Examples
if (FALSE) {
data(zi)
data(catch)
data(choice)
data(distance)
data(si)
optimOpt <- c(1000,1.00000000000000e-08,1,0)
methodname <- 'BFGS'
kk <- 4
si2 <- matrix(sample(1:5,dim(si)[1]*kk,replace=TRUE),dim(si)[1],kk)
zi2 <- sample(1:10,dim(zi)[1],replace=TRUE)
otherdat <- list(griddat=list(predicted_catch=as.matrix(predicted_catch),
si2=as.matrix(si2)), intdat=list(zi=as.matrix(zi),
zi2=as.matrix(zi2)))
initparams <- c(2.5, 2, -1, -2)
func <- logit_c
results <- discretefish_subroutine(catch,choice,distance,otherdat,
initparams,optimOpt,func,methodname)
}