apollo_panelProd {apollo}

Calculates product across observations from same individual.

Description

Multiplies likelihood of observations from the same individual, or adds the log of them.

Usage

apollo_panelProd(P, apollo_inputs, functionality)

Arguments

P

List of vectors, matrices or 3-dim arrays. Likelihood of the model components.

apollo_inputs

List grouping most common inputs. Created by function apollo_validateInputs.

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.

Details

This function should be called inside apollo_probabilities only if the data has a panel structure. It should be called after apollo_avgIntraDraws if intra-individual draws are used.

Value

Argument P with (for most functionalities) the original contents after multiplying across observations at the individual level. Shape depends on argument functionality.

• "components": Returns P without changes.

• "conditionals": Returns P without averaging across draws. Drops all components except "model".

• "estimate": Returns P containing the likelihood of the model after multiplying observations at the individual level. Drops all components except "model".

• "gradient": Returns P containing the gradient of the likelihood after applying the product rule across observations for the same individual.

• "output": Returns P containing the likelihood of the model after multiplying observations at the individual level.

• "prediction": Returns P containing the probabilities/likelihoods of all alternatives for all model components averaged across inter-individual draws.

• "preprocess": Returns P without changes.

• "raw": Returns P without changes.

• "report": Returns P without changes.

• "shares_LL": Returns P containing the likelihood of the model after multiplying observations at the individual level.

• "validate": Returns P containing the likelihood of the model averaged across inter-individual draws. Drops all components except "model".

• "zero_LL": Returns P containing the likelihood of the model after multiplying observations at the individual level.