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SIRE 1.1.0 用户指南说明书

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Package‘SIRE’

October12,2022

TypePackage

TitleFindingFeedbackEffectsinSEMandTestingforTheir

Significance

Version1.1.0

MaintainerGianmarcoVacca<**************************>

DescriptionProvidestwomainfunctionalities.

1-Givenasystemofsimultaneousequation,

itdecomposesthematrixofcoefficientsweightingtheendogenousvariables

intothreesubmatrices:oneincludesthesubsetofcoefficientsthathaveacausalnature

inthemodel,twoincludethesubsetofcoefficientsthathaveainterdependentnature

inthemodel,eitheratsystematiclevelorinducedbythecorrelationbetweenerrorterms.

2-Givenadecomposedmodel,

ittestsforthesignificanceoftheinterdependentrelationshipsactinginthesystem,

viaMaximumlikelihoodandWaldtest,whichcanbebuiltstartingfromthefunctionoutput.

FortheoreticalreferenceseeFaliva(1992)and

FalivaandZoia(1994).

LicenseGPL-3

EncodingUTF-8

LazyDatatrue

DependsR(>=3.1.0)

Importssystemfit,psych,igraph,matrixcalc,MASS,numDeriv,Matrix,

stringr,Rsolnp,dplyr,magrittr

RoxygenNote6.0.1

NeedsCompilationno

AuthorGianmarcoVacca[aut,cre]

RepositoryCRAN

Date/Publication2019-04-1116:32:41UTC

Rtopicsdocumented:

causal_decompose.....................................2

12causal_decompose

dec_calc...........................................3

feedback_ml.........................................4

macroIT...........................................5

rho_calc...........................................6

Index7

causal_decomposeEstimationanddecompositionofsimultaneousequationmodel

Description

Estimateand/ordecomposeaSimultaneousEquationModelintoitsrecursiveandInterdependent

sub-systems

Usage

causal_decompose(data,eq.system,resid.est="noDfCor",instruments,

sigma.in=NULL)

Arguments

datathedataframecontainingthedata

eq.systemthesystemofequations(alistofformulaobjects,e.g.asinpkgsystemfit)

resid.esttheestimationmethodsfortheresidualcovariancematrix(asinsystemfit)

instrumentstheintrumentsusedtoestimatethemodelvia3-SLS(asinsystemfit)

sigma.intheΣmatrix,iftheuserwantstosimulateaparticularstructureatstochastic

level.Overrides3SLSestimationifspecified.

Value

Alistwithcomponents

•eq.system:thesystemofequationsgivenasinput

•Gamma:the3-SLSestimateofΓ󰀁

•C:thematrixhighlightingtheinterdependentmechanismsatdeterministiclevel.

•Psi1:thematrixhighlightingtheinterdependentmechanismsatstochasticlevel.

•Psi0:thematrixhighlightingthecausalmechanisms.

•A:the3-SLSestimateofA

•Sigma:the3-SLSestimateofSigma

•systemfit:theoutputfromthesystemfitfunctionusedtoestimatethemodel

•all.graph:thepathdiagramofthemodel,usingthepackageigraph

•dec.graph:thepathdiagramofthedecomposedmodel,withcolorcodingforeachvertex

•type.out:thetypeofanalysisperformed,either’simulation’or’empirical’dec_calc3

Examples

data("macroIT")eq.system=list(eq1=C~CP+I+CP_1,eq2=I~K+CP_1,eq3=WP~I+GDP+GDP_1,eq4=GDP~C+I+GDP_1,eq5=CP~WP+T,eq6=K~I+K_1)

instruments=~T+CP_1+GDP_1+K_1

causal_decompose(data=macroIT,eq.system=eq.system,resid.est="noDfCor",instruments=instruments,sigma.in=NULL)

dec_calcDecompositionstartingfromGammaandSigma

Description

FunctiontodecomposeΓ󰀁intorecursiveandinterdependentsub-matrices(internaluse)

Usage

dec_calc(Gamma,Sigma)

Arguments

GammatheΓ󰀁matrix.

SigmatheΣmatrix.

Value

Alistwithcomponents

•C:thematrixhighlightingtheinterdependentmechanismsatdeterministiclevel.

•Psi1:thematrixhighlightingtheinterdependentmechanismsatstochasticlevel.

•Psi0:thematrixhighlightingthecausalmechanisms.

•powers:alistcontainingthematrixpowersofΓ󰀁.4feedback_ml

feedback_mlTestingforFeedbackEffectsinaSimultaneousEquationModel

Description

TestingforFeedbackEffectsinaSimultaneousEquationModel

Usage

feedback_ml(data,out.decompose,eq.id,lb=-200,ub=200,

nrestarts=10,nsim=20000,seed.in=1)

Arguments

datathedataframecontainingthedata

out.decomposethedecompositionobjectresultingfromcausal_decompose()

eq.idtheequationtobetestedforfeedbackeffects

lblowerboundoftheparameterspacerequiredforgosolnp

ubupperboundoftheparameterspacerequiredforgosolnp

nrestartsnumberofsolverrestarts(asingosolnp)

nsimnumberofrandomparameterstogenerateforeveryrestartofthesolver(asin

gosolnp)

seed.inseednumberforgosolnproutine

Value

Alistwithcomponents

•rho.est:adataframewiththemaximumlikelihoodestimateofrhoandtheequationswith

whicheachelementisinvolvedinfeedback-likemechanisms

•loglik:thevalueofthelog-likelihoodofthemodel

•theta.hessian:thehessianmatrixfortheestimatedparameters

•rho.jacobian:theJacobianmatrixofρwithrespecttotheentiresetofparameters

•wald:theresultingWaldteststatistic

Examples

data("macroIT")eq.system=list(eq1=C~CP+I+CP_1,eq2=I~K+CP_1,eq3=WP~I+GDP+GDP_1,eq4=GDP~C+I+GDP_1,eq5=CP~WP+T,

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Date2023-03-30HUAWEI CLOUD COMPUTING TECHNOLOGIES CO., LTD.

Copyright © Huawei Cloud Computing Technologies Co., Ltd. 2023. All rights reserved.

No part of this document may be reproduced or transmitted in any form or by any means without prior

written consent of Huawei Cloud Computing Technologies Co., Ltd.

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and other Huawei trademarks are the property of Huawei Technologies Co., Ltd.

All other trademarks and trade names mentioned in this document are the property of their respective

holders.

Notice

The purchased products, services and features are stipulated by the contract made between Huawei

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