apollo_fmnl {apollo}

Calculates Fractional Multinomial Logit probabilities

Description

Calculates the probabilities of a Fractional Multinomial Logit model and can also perform other operations based on the value of the functionality argument.

Usage

apollo_fmnl(fmnl_settings, functionality)

Arguments

fmnl_settings

List of inputs of the FMNL model. It should contain the following.

• alternatives: Character vector. Names of alternatives, elements must match the names in list 'utilities'.

• avail: Named list of numeric vectors or scalars. Availabilities of alternatives, one element per alternative. Names of elements must match those in alternatives. Values can be 0 or 1. These can be scalars or vectors (of length equal to rows in the database). A user can also specify avail=1 to indicate universal availability, or omit the setting completely.

• choiceShares: Named list of numeric vectors. Share allocated to each alternative. One element per alternative, as long as the number of observations or a scalar. Names must match those in alternatives.

• componentName: Character. Name given to model component. If not provided by the user, Apollo will set the name automatically according to the element in P to which the function output is directed.

• rows: Boolean vector. Consideration of which rows to include. Length equal to the number of observations (nObs), with entries equal to TRUE for rows to include, and FALSE for rows to exclude. Default is "all", equivalent to rep(TRUE, nObs).

• utilities: Named list of deterministic utilities . Utilities of the alternatives. Names of elements must match those in alternatives.

functionality

Character. Setting instructing Apollo what processing to apply to the likelihood function. This is in general controlled by the functions that call apollo_probabilities, though the user can also call apollo_probabilities manually with a given functionality for testing/debugging. Possible values are:

• "components": For further processing/debugging, produces likelihood for each model component (if multiple components are present), at the level of individual draws and observations.

• "conditionals": For conditionals, produces likelihood of the full model, at the level of individual inter-individual draws.

• "estimate": For model estimation, produces likelihood of the full model, at the level of individual decision-makers, after averaging across draws.

• "gradient": For model estimation, produces analytical gradients of the likelihood, where possible.

• "output": Prepares output for post-estimation reporting.

• "prediction": For model prediction, produces probabilities for individual alternatives and individual model components (if multiple components are present) at the level of an observation, after averaging across draws.

• "preprocess": Prepares likelihood functions for use in estimation.

• "raw": For debugging, produces probabilities of all alternatives and individual model components at the level of an observation, at the level of individual draws.

• "report": Prepares output summarising model and choiceset structure.

• "shares_LL": Produces overall model likelihood with constants only.

• "validate": Validates model specification, produces likelihood of the full model, at the level of individual decision-makers, after averaging across draws.

• "zero_LL": Produces overall model likelihood with all parameters at zero.

Value

The returned object depends on the value of argument functionality as follows.

• "components": Same as "estimate"

• "conditionals": Same as "estimate"

• "estimate": vector/matrix/array. Returns the probabilities for the chosen alternative for each observation.

• "gradient": List containing the likelihood and gradient of the model component.

• "output": Same as "estimate" but also writes summary of input data to internal Apollo log.

• "prediction": List of vectors/matrices/arrays. Returns a list with the probabilities for all alternatives, with an extra element for the probability of the chosen alternative.

• "preprocess": Returns a list with pre-processed inputs, based on fmnl_settings.

• "raw": Same as "prediction"

• "report": Overview of dependent variable

• "shares_LL": vector/matrix/array. Returns the probability of the chosen alternative when only constants are estimated.

• "validate": Same as "estimate", but it also runs a set of tests to validate the function inputs.

• "zero_LL": vector/matrix/array. Returns the probability of the chosen alternative when all parameters are zero.