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Psychometric Modeling Psychometric Modeling and Calibrationand Calibration

Ron D. Hays, Ph.D. Ron D. Hays, Ph.D.

September 11, 2006 September 11, 2006

PROMIS development process sessionPROMIS development process session

10:45am-12:30 pm10:45am-12:30 pm

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PROMIS Domains

Physical functioning (Hays/Bjorner)

Pain (Revicki)

Fatigue (Lai)

Emotional distress (Choi/Reise)

Social/role participation (Bode/Hahn)

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Datasets

Cancer Item Banks (Northwestern)

Digitalis Investigation Group Study--randomized double-blind placebo-controlled trial evaluating effect of digoxin on mortality in 581 patients with heart failure and sinus rhythm.

IMMPACT--internet-based survey of individuals with chronic pain from the American Chronic Pain Association website

Medical Outcomes Study--observational study of persons with hypertension, diabetes, heart disease, and/or depression in Boston, Chicago, and Los Angeles

WHOQOL-100 data (n = 442 from U.S. field center)

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Types of AnalysesTypes of Analyses

• Classical Test Theory StatisticsClassical Test Theory Statistics

• IRT Model AssumptionsIRT Model Assumptions

• Model FitModel Fit

• Differential Item FunctioningDifferential Item Functioning

• Item CalibrationItem Calibration

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Classical Test Theory StatisticsClassical Test Theory Statistics

• Out of rangeOut of range

• Item frequencies and distributionsItem frequencies and distributions

• Inter-item correlationsInter-item correlations

• Item-scale correlationsItem-scale correlations

• Internal consistency reliabilityInternal consistency reliability

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IRT Model AssumptionsIRT Model Assumptions

• (Uni)dimensionality(Uni)dimensionality

• Local independenceLocal independence

• MonotonicityMonotonicity

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Sufficient UnidimensionalitySufficient Unidimensionality

• Confirmatory factor modelsConfirmatory factor models

One factorOne factor

Bifactor (general and group factors)Bifactor (general and group factors)

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Local IndependenceLocal Independence

• After controlling for dominant factor(s), item After controlling for dominant factor(s), item pairs should not be associated.pairs should not be associated.

Look at residual correlations (> 0.20)Look at residual correlations (> 0.20)

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MonotonicityMonotonicity

• Probability of selecting a response category Probability of selecting a response category indicative of better health should increase as indicative of better health should increase as underlying health increases.underlying health increases.

• Item response function graphs withItem response function graphs with

y-axis: proportion positive for item stepy-axis: proportion positive for item step

x-axis: raw scale score minus item scorex-axis: raw scale score minus item score

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Category Response Curves for Category Response Curves for Samejima’s Graded Response ModelSamejima’s Graded Response Model

0.0

0.2

0.4

0.6

0.8

1.0

-3 -2 -1 0 1 2 3

Theta (q)

P(X

=k|q

)

P (X = 3|q)P (X = 1|q)

P (X = 2|q)

P (X = 4|q)

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Model FitModel Fit

• Compare observed and expected response Compare observed and expected response frequencies by item and response categoryfrequencies by item and response category

• Items that do not fit and less discriminating Items that do not fit and less discriminating items identified and reviewed by content items identified and reviewed by content expertsexperts

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Differential Item FunctioningDifferential Item Functioning

• Uniform DIF Uniform DIF

Threshold parameterThreshold parameter

• Non-uniform DIF Non-uniform DIF

Discrimination parameter Discrimination parameter

• Gender, race/ethnicity, age, diseaseGender, race/ethnicity, age, disease

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Item CalibrationItem Calibration

• Item parameters (threshold, discrimination)Item parameters (threshold, discrimination)

• Mean differences for studied disease groupsMean differences for studied disease groups

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Example of Lessons Learned in Secondary Analyses

Emotional distress

Cannot be adequately modeled as a unidimensional construct.

Limited representation of positive end of construct

Several items having some response options that provide little information.

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Documentation

eRoom

Public website: http://www.nihpromis.org/

Peer-reviewed manuscripts, e.g.:

Hays, R. D. et al. (submitted). Item response theory analyses of physical functioning items in the Medical Outcomes Study.

Reeve, B. B. (submitted). Psychometric evaluation and calibration of health-related quality of life items banks: Plans for the Patient-Reported Outcome Measurement Information System (PROMIS)

Presentations:

Tomorrow 4:15-6:15

17 04/20/23

Questions?Questions?

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Datasets Subjected to Psychometric AnalysisDatasets Subjected to Psychometric Analysis

Cancer Fatigue:Cancer Fatigue: Cancer Item Banking Project at NWUCancer Item Banking Project at NWU

Cancer Pain:Cancer Pain: Cancer Item Banking Project at NWUCancer Item Banking Project at NWU

Cancer Social:Cancer Social: Cancer Item Banking Project at NWUCancer Item Banking Project at NWU

CSSCD:CSSCD: Cooperative Study of Sickle Cell Disease (pediatric)Cooperative Study of Sickle Cell Disease (pediatric)

CHC:CHC: Chronic Hepatitis C StudyChronic Hepatitis C Study

CHS:CHS: Cardiovascular Health StudyCardiovascular Health Study

DIG:DIG: Digitalis Investigation Group Quality of Life Sub-studyDigitalis Investigation Group Quality of Life Sub-study

IMMPACT:IMMPACT: Multiple Pain ProjectsMultiple Pain Projects

MOS:MOS: Medical Outcomes StudyMedical Outcomes Study

NGHS:NGHS: National Growth and Health Study (peds.)National Growth and Health Study (peds.)

Q-Score:Q-Score: Cancer Quality of Life Project at NWUCancer Quality of Life Project at NWU

WHOQOL:WHOQOL: World Health Organization Quality of Life ProjectWorld Health Organization Quality of Life Project

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Datasets Subjected to Psychometric AnalysisDatasets Subjected to Psychometric Analysis

PROMIS Domains

Emotional Distress Fatigue Pain Physical FunctionSocial Role

Participation

CHS(NWU/Cook)

DIG(UCLA/Hays)

Q-Score(NWU/Bode)

CHC(Medtap/Revicki

& Chen)

Cancer Pain(NWU/Lai)

IMMPACT(Medtap/Revicki

& Chen)

CHS(NWU/Cook)

DIG(UCLA/Hays)

CHS(NWU/Cook)

Cancer Social(NWU/Bode)

CHS(NWU/Cook)

Cancer Fatigue(NWU/Lai)

WHOQOL(UCLA/Hays)

WHOQOL(UCLA/Hays)

MOS(UCLA/Hays& Spritzer)

Q-Score(NWU/Lai)

WHOQOL(UCLA/Hays)

WHOQOL(UCLA/Hays)

WHOQOL(UCLA/Hays)

CSSCD(NWU)

NGHS(NWU)

NGHS(NWU)