Table Of ContentSpringer Proceedings in Mathematics & Statistics
L. Andries van der Ark
Marie Wiberg
Steven A. Culpepper
Jeff rey A. Douglas
Wen-Chung Wang Editors
Quantitative
Psychology
The 81st Annual Meeting of the
Psychometric Society, Asheville, North
Carolina, 2016
Springer Proceedings in Mathematics & Statistics
Volume 196
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L. Andries van der Ark • Marie Wiberg
Steven A. Culpepper • Jeffrey A. Douglas
Wen-Chung Wang
Editors
Quantitative Psychology
The 81st Annual Meeting of the Psychometric
Society, Asheville, North Carolina, 2016
123
Editors
L.AndriesvanderArk MarieWiberg
ResearchInstituteforChild DepartmentofStatistics,USBE
DevelopmentandEducation UmeåUniversity,Umeå,Sweden
UniversityofAmsterdam
Amsterdam,TheNetherlands JeffreyA.Douglas
DepartmentofStatistics
StevenA.Culpepper UniversityofIllinoisatUrbana-Champaign
DepartmentofStatistics Champaign,IL,USA
UniversityofIllinoisatUrbana-Champaign
Champaign,IL,USA
Wen-ChungWang
DepartmentofPsychology
TheEducationalUniversityofHongKong
HongKong,China
ISSN2194-1009 ISSN2194-1017 (electronic)
SpringerProceedingsinMathematics&Statistics
ISBN978-3-319-56293-3 ISBN978-3-319-56294-0 (eBook)
DOI10.1007/978-3-319-56294-0
LibraryofCongressControlNumber:2017940525
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Preface
This volume represents presentations given at the 81st annual meeting of the
Psychometric Society in Asheville, North Carolina, during July 11–15, 2016. The
meeting, organized by the University of North Carolina at Greensboro, was one
of the largest Psychometric Society meetings in the United States, both in terms
of participants and number of presentations. It attracted 415 participants, with
204 papers being presented, along with 95 poster presentations, 3 pre-conference
workshops,3keynotepresentations,6invitedpresentations,2career-awardpresen-
tations,adebate,2dissertation-awardwinners,9symposia,atrivial-pursuitlunch,
andPsychometrika’s80thanniversarycelebration.
Sincethe77thmeetinginLincoln,Nebraska,Springerpublishestheproceedings
volume from the annual meeting of the Psychometric Society so as to allow
presenters to quickly make their ideas available to the wider research community
while still undergoing a thorough review process. The first four volumes of the
meetings in Lincoln, Arnhem, Madison, and Beijing were received successfully,
andweexpectasuccessfulreceptionoftheseproceedingstoo.
We asked authors to use their presentation at the meeting as the basis of their
chapters,possiblyextendedwithnewideasoradditionalinformation.Theresultisa
selectionof36state-of-the-artchaptersaddressingadiversesetoftopics,including
itemresponsetheory,equating,classicaltesttheory,factoranalysis,structuralequa-
tion modeling, dual scaling, multidimensional scaling, power analysis, cognitive
diagnosticmodels,andmultilevelmodels.
Amsterdam L.AndriesvanderArk
Umeå MarieWiberg
Urbana-Champaign,IL StevenA.Culpepper
Urbana-Champaign,IL JeffreyA.Douglas
HongKong Wen-ChungWang
v
Contents
NewResultsonanImprovedParallelEMAlgorithmforEstimating
GeneralizedLatentVariableModels........................................... 1
Matthiasvon Davier
Properties of Second-Order Exponential Models as
MultidimensionalResponseModels ........................................... 9
CarolynJ.AndersonandHsiu-TingYu
Pseudo-Likelihood Estimation of Multidimensional Response
Models:PolytomousandDichotomousItems................................. 21
YoungshilPaekandCarolynJ.Anderson
FittingGradedResponseModelstoDatawithNon-Normal
LatentTraits...................................................................... 31
Tzu-ChunKuoandYanyanSheng
AnExtensionofRudner-BasedConsistencyandAccuracyIndices
forMultidimensionalItemResponseTheory................................. 43
WenyiWang,LihongSong,andShuliangDing
Supporting Diagnostic Inferences Using Significance Tests for
SubtestScores .................................................................... 59
WilliamLorié
AComparisonofTwoMCMCAlgorithmsforthe2PLIRTModel........ 71
Meng-IChangandYanyanSheng
Similar DIFs: Differential Item Functioning and Factorial
InvarianceforScaleswithSeven(“PlusorMinusTwo”)Response
Alternatives....................................................................... 81
DavidThissen
vii
viii Contents
Finally!AValidTestofConfiguralInvarianceUsingPermutation
inMultigroupCFA............................................................... 93
Terrence D. Jorgensen, Benjamin A. Kite, Po-Yi Chen,
andStephenD.Short
OutcriesofDualScaling:TheKeyIsDuality................................. 105
ShizuhikoNishisato
TheMostPredictableCriterionwithFallibleData .......................... 117
Seock-HoKim
AsymmetricMultidimensionalScalingofSubjectiveSimilarities
AmongOccupationalCategories............................................... 129
AkinoriOkadaandTakuyaHayashi
On the Relationship Between Squared Canonical Correlation
andMatrixNorm ................................................................ 141
KentaroHayashi,Ke-HaiYuan,andLuLiang
BreakingThroughtheSumScoringBarrier.................................. 151
JamesO.RamsayandMarieWiberg
Overestimation of Reliability by Guttman’s œ , œ , and œ
4 5 6
andtheGreatestLowerBound................................................. 159
PieterR.Oosterwijk,L.AndriesvanderArk,andKlaasSijtsma
ThePerformanceofFiveReliabilityEstimatesinMultidimensional
TestSituations.................................................................... 173
ShuyingShaandTerryAckerman
WeightedGuttmanErrors:HandlingTiesandTwo-LevelData ........... 183
LettyKoopman,BonneJ.H.Zijlstra,andL.AndriesvanderArk
Measuring Cognitive Processing Capabilities in Solving
MathematicalProblems......................................................... 191
SusanEmbretson
ParameterConstraintsoftheLogitFormoftheReducedRUM........... 207
Hans-FriedrichKöhn
HypothesisTestingforItemConsistencyIndexinCognitiveDiagnosis ... 215
LihongSongandWenyiWang
IrreplaceabilityofaReachabilityMatrix ..................................... 229
ShuliangDing,WenyiWang,FenLuo,JianhuaXiong,andYaruMeng
Ensuring Test Quality over Time by Monitoring the Equating
Transformations.................................................................. 239
MarieWiberg
AnIllustrationoftheEpanechnikovandAdaptiveContinuization
MethodsinKernelEquating.................................................... 253
JorgeGonzálezandAlinaA.vonDavier
Contents ix
(The Potential for) Accumulated Linking Error in Trend
MeasurementinLarge-ScaleAssessments.................................... 263
LaurenHarrell
IRTObserved-ScoreEquatingwiththeNonequivalentGroups
withCovariatesDesign.......................................................... 275
ValentinaSansivieriandMarieWiberg
CausalInferencewithObservationalMultilevelData:Investigating
SelectionandOutcomeHeterogeneity......................................... 287
Jee-SeonKim,Wen-ChiangLim,andPeterM.Steiner
NonequivalentGroupswithCovariatesDesignUsingPropensity
ScoresforKernelEquating ..................................................... 309
GabrielWallinandMarieWiberg
AMixturePartialCreditModelAnalysisUsingLanguage-Based
Covariates......................................................................... 321
SeohyunKim,MinhoKwak,andAllanS.Cohen
Investigating Constraint-Weighted Item Selection Procedures
inUnfoldingCAT ................................................................ 335
Ya-HuiSu
Rating Scale Format and Item Sensitivity to Response Style
inLarge-ScaleAssessments..................................................... 347
SienDengandDanielM.Bolt
ModeComparabilityStudiesforaHigh-StakesTestingProgram.......... 357
DongmeiLi,QingYi,andDeborahJ.Harris
PowerAnalysisfort-TestwithNon-normalData
andUnequalVariances.......................................................... 373
HanDu,ZhiyongZhang,andKe-HaiYuan
Statistical Power Analysis for Comparing Means with Binary
orCountDataBasedonAnalogousANOVA.................................. 381
YujiaoMaiandZhiyongZhang
RobustBayesianEstimationinCausalTwo-StageLeastSquares
ModelingwithInstrumentalVariables ........................................ 395
DingjingShiandXinTong
MeasuringGritAmongFirst-GenerationCollegeStudents:
APsychometricAnalysis........................................................ 407
BrookeMidkiff,MichelleLanger,CynthiaDemetriou,andA.T.Panter
AComparisonofItemParameterandStandardErrorRecovery
AcrossDifferentRPackagesforPopularUnidimensionalIRTModels ... 421
TaeyoungKimandInsuPaek
New Results on an Improved Parallel EM
Algorithm for Estimating Generalized Latent
Variable Models
MatthiasvonDavier
Abstract The second generation of a parallel algorithm for generalized latent
variablemodels,includingMIRTmodelsandextensions,onthebasisofthegeneral
diagnosticmodel(GDM)ispresented.Thisnewdevelopmentfurtherimprovesthe
performanceoftheparallel-Eparallel-Malgorithmpresentedinanearlierreportby
means of additional computational improvements that produce even larger gains
in performance. The additional gain achieved by this second-generation parallel
algorithm reaches factor 20 for several of the examples reported with a sixfold
gain based on the first generation. The estimation of a multidimensional IRT
model for large-scale data may show a larger reduction in runtime compared to
a multiple-group model which has a structure that is more conducive to parallel
processing of the E-step. Multiple population models can be arranged such that
the parallelism directly exploits the ability to estimate multiple latent variable
distributionsseparatelyinindependentthreadsofthealgorithm.
Keywords Parallel EM-algorithm • MIRT • Diagnostic modeling • Estimation
• Latentvariablemodeling
1 Introduction
Thischapterreportsonthesecondgenerationofaparallelalgorithmforgeneralized
latent variable models on the basis of the general diagnostic model (von Davier
2005,2008,2014).Thisnewdevelopmentfurtherimprovestheperformanceofthe
parallel-Eparallel-Malgorithmpresentedinanearlierreport(vonDavier2016)by
means of additional computational improvements that produce even larger gains
in performance. The additional gain achieved by this second-generation parallel
ThisworkwaspartiallycompletedwhiletheauthorwasattheEducationalTestingService.
M.vonDavier((cid:2))
NationalBoardofMedicalExaminers,3750MarketStreet,Philadelphia,PA,19104-3102,USA
e-mail:[email protected]
©SpringerInternationalPublishingAG2017 1
L.A.vanderArketal.(eds.),QuantitativePsychology,SpringerProceedings
inMathematics&Statistics196,DOI10.1007/978-3-319-56294-0_1
