generalGenericID: A general generic identification algorithm template.

In SEMID: Identifiability of Linear Structural Equation Models

A general generic identification algorithm template.

Description

A function that encapsulates the general structure of our algorithms for testing generic identifiability. Allows for various identification algorithms to be used in concert, in particular it will use the identifier functions in the list idStepFunctions sequentially until it can find no more identifications. The step functions that are currently available for use in idStepFunctions are

1. htcIdentifyStep,

2. ancestralIdentifyStep,

3. edgewiseIdentifyStep,

4. trekSeparationIdentifyStep.

Usage

generalGenericID(mixedGraph, idStepFunctions, tianDecompose = T)

Arguments

mixedGraph	a MixedGraph object representing the L-SEM.
idStepFunctions	a list of identification step functions
tianDecompose	TRUE or FALSE determining whether or not the Tian decomposition should be used before running the current generic identification algorithm. In general letting this be TRUE will make the algorithm faster and more powerful.

Value

returns an object of class 'GenericIDResult,' this object is just a list with 9 components:

solvedParents

a list whose ith element contains a vector containing the subsets of parents of node i for which the edge j->i could be shown to be generically identifiable.

unsolvedParents

as for solvedParents but for the unsolved parents.

solvedSiblings

as for solvedParents but for the siblings of node i (i.e. the bidirected neighbors of i).

unsolvedSiblings

as for solvedSilbings but for the unsolved siblings of node i (i.e. the bidirected neighbors of i).

identifier

a function that takes a (generic) covariance matrix corresponding to the graph and identifies the edges parameters from solvedParents and solvedSiblings. See htcIdentifyStep for a more in-depth discussion of identifier functions.

mixedGraph

a mixed graph object of the graph.

idStepFunctions

a list of functions used to generically identify parameters. For instance, htcID uses the function htcIdentifyStep to identify edges.

tianDecompose

the argument tianDecompose.

call

the call made to this function.

SEMID documentation built on Nov. 5, 2025, 6:20 p.m.