Measurement Invariance, Factor Analysis and Factorial Invariance

1993/12/01 by William Meredith · 49 citations
Economics, Econometrics and Finance · Decision Sciences · Mathematics · #Labor market dynamics and wage inequality #Psychometric Methodologies and Testing #Advanced Causal Inference Techniques

paper · doi:10.1007/bf02294825

Abstract

Several concepts are introduced and defined: measurement invariance, structural bias, weak measurement invariance, strong factorial invariance, and strict factorial invariance. It is shown that factorial invariance has implications for (weak) measurement invariance. Definitions of fairness in employment/admissions testing and salary equity are provided and it is argued that strict factorial invariance is required for fairness/equity to exist. Implications for item and test bias are developed and it is argued that item or test bias probably depends on the existence of latent variables that are irrelevant to the primary goal of test constructers.

Citations

• A Model-Based Standardization Approach that Separates True Bias/DIF from Group Ability Differences and Detects Test Bias/DTF as well as Item Bias/DIF

Cited by

• Necessary but Insufficient
• The Strengths and Difficulties Questionnaire (SDQ): the Factor Structure and Scale Validation in U.S. Adolescents
• Parent–Adolescent Informant Discrepancies and Adolescent Adjustment Outcomes: A Directional Comparison and Associations with Family Functioning
• Modeling Epistemic and Ontological Cognition: Philosophical Perspectives and Methodological Directions
• Mother–Adolescent Discrepancies in Psychological Adjustment Using Latent Profile Analysis: Longitudinal Predictors of Reporter-Specific Relationship Quality
• Measurement invariance in the social sciences: Historical development, methodological challenges, state of the art, and future perspectives
• Selective sex differences in declarative memory
• The Infant–Toddler Social and Emotional Assessment (ITSEA): Factor Structure, Reliability, and Validity
• When Can You Debias an LLM Judge? Identifiability Limits, a Test, and Designs for Top-k Ranking
• Construct Diversity in Measures of Helicopter Parenting in Emerging Adulthood
• The Stalled Revolution versus Secularization: The Dynamic Relationship between Gender Attitudes and Religiosity
• Integrating the switching, inhibition, and updating model of executive function with the Cattell—Horn—Carroll model.
• Validating the Short-form Foreign Language Classroom Anxiety Scale
• The growth trajectories of L2 self-efficacy and its effects on L2 learning: Using a curve-of-factors model
• Individual differences in beginning teachers’ competencies - a latent growth curve model based on video data
• The Impact of Method Bias on the Cross-Cultural Comparability in Face-to-Face Surveys Among Ethnic Minorities
• Why We Need to Rethink Measurement Invariance: The Role of Measurement Invariance for Cross-Cultural Research
• Towards a taxonomy of personality facets
• The Eyberg Child Behavior Inventory: Factorial invariance in problem behaviors across gender and age
• Measurement Equivalence in Cross-National Research
• The relation between executive functions and reading comprehension in primary-school students: A cross-lagged-panel analysis
• Language skills and reading comprehension in English monolingual and Spanish–English bilingual children in grades 2–5
• Individual differences in online research: Comparing lab-based and online administration of a psycholinguistic battery of linguistic and domain-general skills
• The Child Behavior Scale (CBS) revisited: A longitudinal evaluation of CBS subscales with children, preadolescents, and adolescents.
• Does the nature of airport terminal service activities matter? Processing and non-processing service quality, passenger affective image and satisfaction
• When benchmark inferences do not compose: Projectibility in AI evaluation
• Cynicism Explains the Link Between Subjective Social Class and Perceived Social Support Availability
• The Vancouver Index of Acculturation (VIA): New evidence on dimensionality and measurement invariance across two cultural settings
• Measurement equivalence: A non-technical primer on categorical multi-group confirmatory factor analysis in school psychology
• Evaluating the factor structure of the Dutch individual differences in language skills (IDLaS-NL) test battery
• The HEXACO–100 Across 16 Languages: A Large-Scale Test of Measurement Invariance
• Do neuropsychological tests have the same meaning in Spanish speakers as they do in English speakers?
• Stability and Change in Domain–Specific Self–Esteem and Global Self–Esteem
• Are student engagement and disaffection important for teacher well-being? A longitudinal examination of between- and within-person effects
• Developing, evaluating, and interpreting personality state measures: A framework based on the revised latent state-trait theory
• A Cross-Cultural Examination of the Aggression Questionnaire–Short Form Among Egyptian and Omani Adolescents
• Developing, evaluating, and interpreting personality state measures: A framework based on the revised latent state-trait theory
• Comparability of personality facets between men and women: A test of measurement invariance in IPIP-NEO facets in 49 countries
• Religious identity, religious practice, and religious beliefs across countries and world regions
• The Mental Health of Australian, Chinese and Vietnamese University Students: A Cross‐Cultural Comparison of the <scp>DASS‐21</scp>
• Causal inference with latent outcomes
• Identification of Confirmatory Factor Analysis Models of Different Levels of Invariance for Ordered Categorical Outcomes
• Equivalence of Screen Versus Print Reading Comprehension Depends on Task Complexity and Proficiency
• A tutorial on assessing statistical power and determining sample size for structural equation models.
• Measuring School Climate in High Schools: A Focus on Safety, Engagement, and the Environment
• Collaborative Preferences for Learning Mathematics: A Scale Validation Study
• The dire disregard of measurement invariance testing in psychological science.
• Position: Stop Evaluating AI with Human Tests, Develop Principled, AI-specific Tests instead
• Future Self-Continuity Predicts Health-Promoting Behaviors of Chinese Rural College Students: Evidence from Mental Imagery Intervention

Related

• Invariance: What Does Measurement Invariance Allow Us to Claim?
• Rethinking measurement invariance causally
• Decoding the Meaning of Factorial Invariance and Updating the Practice of Multi-group Confirmatory Factor Analysis: A Demonstration With TIMSS Data
• Why We Need to Rethink Measurement Invariance: The Role of Measurement Invariance for Cross-Cultural Research
• Frequentist and Bayesian Factorial Invariance using R