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Psychometric Validity

Updated 12 July 2026
  • Psychometric validity is a comprehensive framework confirming that tests measure intended constructs using diverse evidence like content, construct, and criterion validity.
  • It uses rigorous methodologies such as expert evaluations, factor analysis, and predictive measures to ensure reliable and interpretable results.
  • Recent advances extend psychometric validity to digital and AI assessments, challenging traditional assumptions with new reliability and ecological validity frameworks.

Searching arXiv for the cited papers and related work on psychometric validity. Psychometric validity is the degree to which a measurement, test, questionnaire, benchmark, or inferred metric supports the interpretation that it measures what it purports to measure. Across the literature, it is treated not as a single statistic but as a structured body of evidence spanning content validity, construct validity, criterion or predictive validity, discriminant and convergent validity, ecological validity, external validity, and consequential validity, with reliability commonly treated as a prerequisite or upper bound on what validity evidence can sustain in practice (Wang et al., 2023, Salaudeen et al., 13 May 2025, Lin, 20 Jun 2025). Recent work extends these concerns beyond classical human testing to web surveys, LLMs, AI-inferred user states, digital twins, creativity assessment, and language testing, while repeatedly showing that validity cannot be assumed from surface plausibility, internal consistency, or benchmark performance alone (Mastrotto et al., 2020, Krzeminska et al., 15 May 2026, Jung et al., 13 Oct 2025).

1. Conceptual scope and major forms of validity

In the surveyed work, psychometric validity is framed as the extent to which a test measures what it purports to measure, and as the adequacy of the interpretation and use of scores rather than a property reducible to any single coefficient (Wang et al., 2023, Salaudeen et al., 13 May 2025). The literature repeatedly distinguishes among several forms of validity evidence.

Content validity concerns whether items adequately sample the intended domain. In personality-test assessment, content validity is operationalized through expert judgment and the Content Validity Ratio, with human raters evaluating item essentiality and item-construct alignment (Milano et al., 15 Mar 2025). In language-assessment research, item- and scale-level content validity are quantified through I-CVI, S-CVI/Ave, and S-CVI/UA, alongside expert agreement measures such as ICC (Zhang, 2 Sep 2025). In LLM settings, content validity becomes a central challenge because human-developed items may not be suitable for chatbot respondents, whereas adapted inventories can achieve high S-CVI and inter-rater agreement (Zierahn et al., 2 Jul 2026).

Construct validity concerns whether a measure reflects the latent construct it is intended to measure. In general-purpose AI evaluation, construct validity is linked to factor analysis, convergent validity, and discriminant validity, with the aim of determining whether hypothesized constructs are empirically recoverable from performance patterns (Wang et al., 2023). In LLM research, a recurring concern is construct mismatch: surface responses may align with human questionnaires while the underlying mechanisms differ, yielding “measurement phantoms” rather than evidence of genuine psychological constructs (Lin, 20 Jun 2025). Construct validity is also central in digital-twin research, where construct representation and the nomological net are used as the overarching framework for comparing LLM-based proxies with humans (Zhang et al., 22 Dec 2025).

Criterion validity or predictive validity concerns whether scores relate to an external criterion or forecast relevant outcomes. This is explicit in the Technology Acceptance Model study, where predictive validity is evaluated by the R2R^2 of Purchase Intention explained by Perceived Usefulness and Ease of Use (Li et al., 11 Mar 2026). It is also explicit in the TOEFL Academic Discussion Task study, where criterion validity is assessed through Pearson correlations with CET-6 writing and translation subscores, yielding r=0.926r = 0.926 and R2=0.857R^2 = 0.857 (Zhang, 2 Sep 2025). More broadly, AI-evaluation work treats criterion validity as the empirical relation between benchmark scores and downstream or real-world performance (Salaudeen et al., 13 May 2025).

Convergent and discriminant validity appear as subcomponents of construct validity. Convergent validity is assessed in LLM-based TAM measurement using factor loadings, Cronbach’s alpha, Composite Reliability, and Average Variance Extracted (Li et al., 11 Mar 2026). Discriminant validity is tested using the Fornell-Larcker criterion in that same work (Li et al., 11 Mar 2026). In item-generation research, convergent validity is defined as the correlation between candidate items and official items for the same trait, while discriminant validity is the mean absolute Spearman correlation with non-target traits (Lim et al., 8 Jul 2025).

Ecological validity is emphasized in recent LLM work as the extent to which scores predict behavior in realistic downstream contexts. One study on sexism, racism, and morality finds that psychometric test scores can show convergent validity at the score level yet fail ecological validity because they do not align with downstream behavior and can even correlate negatively with it (Jung et al., 13 Oct 2025). A related comparison of established versus ecologically valid questionnaires argues that human-designed questionnaires may diverge substantially from context-rich, real-world assessments, thereby producing misleading impressions of stable constructs in LLMs (Choi et al., 12 Sep 2025).

External validity concerns generalizability. In the TAM-based study of LLMs, external validity is assessed by comparing LLM path coefficients with those from human participant data and finding consistency in sign, significance, and direction (Li et al., 11 Mar 2026). In the dual-validity framework, external validity is treated as distinct from psychometric validity yet necessary when claims are generalized across prompts, models, populations, or settings (Lin, 20 Jun 2025).

Consequential validity is less often quantified, but it is prominent in validity-centered AI-evaluation frameworks. There it concerns the practical and social consequences of score interpretation, such as overclaiming “reasoning” from narrow tests, reifying bias as trait, or using invalid scores in governance and deployment decisions (Salaudeen et al., 13 May 2025, Lin, 20 Jun 2025).

2. Reliability as prerequisite, constraint, and companion concept

The reviewed literature consistently treats reliability as necessary for validity, although the exact relation is qualified in important ways. The dual-validity framework states that “no measure can be more valid than it is reliable,” and gives the example that a test-retest reliability of $0.40$ limits the maximum possible validity coefficient to approximately $0.63$ (Lin, 20 Jun 2025). This inherits the classical psychometric view that reliability sets an upper bound on validity.

However, the historical review of statistical learning in psychometrics complicates the textbook claim that lower reliability straightforwardly implies lower predictive validity. Using the decomposition X=T+EX = T + E and simulation with cross-validation and shrinkage, it shows that the reliability of a test score does not influence predictive validity as much as is usually written in psychometric textbooks, especially for small effect sizes (Rooij et al., 2019). In that work, out-of-sample prediction error remains nearly flat across reliability levels under appropriate regularization, and lower reliability chiefly increases the optimal amount of shrinkage (Rooij et al., 2019). This suggests that the reliability–validity relationship depends on whether validity is being interpreted in classical in-sample correlational terms or in cross-validated predictive terms.

Across applied domains, reliability is operationalized in multiple ways. In AI-inferred user states, internal reliability is defined as within-model stability across repeated inferences on unchanged data, and aggregated reliability is assessed through ICC(3,k) after averaging replications (Krzeminska et al., 15 May 2026). In verbal confidence elicitation, a pre-registered psychometric validity screen first checks for degeneracy, then computes indices such as L=P(high confidenceincorrect)L = P(\text{high confidence} \mid \text{incorrect}), Fp=P(low confidencecorrect)F_p = P(\text{low confidence} \mid \text{correct}), and RBS=Fp(1L)RBS = F_p - (1-L); all seven tested instruction-tuned models were classified invalid on numeric confidence despite some above-chance AUROC2_2 (Cacioli, 24 Apr 2026). In web-survey response validation, reliability is approached behaviorally rather than through internal-consistency coefficients, using mouse activity, timing, and sequential interaction patterns to identify suspicious responding (Mastrotto et al., 2020).

A recurrent implication is that reliability evidence is domain- and use-specific. Metrics that are individually unstable may still retain analytical utility after aggregation, but cannot support real-time individual-level inference (Krzeminska et al., 15 May 2026). Conversely, highly consistent questionnaire responses may be misleading if they arise from construct recognition or socially desirable response patterns rather than the intended latent trait (Choi et al., 12 Sep 2025, Zierahn et al., 2 Jul 2026).

3. Measurement frameworks and statistical operationalizations

Psychometric validity is operationalized through a broad set of frameworks and statistical tools rather than a single inferential recipe. Several papers anchor their methodology in classical test theory, factor analysis, structural equation modeling, and item response theory, while recent AI work adds replication protocols, anomaly detection, simulation-based validation, and validity screens tailored to model behavior (Wang et al., 2023, Ye et al., 13 May 2025).

A compact summary of repeatedly used methods is given below.

Framework or metric Primary role Example use
CVR, I-CVI, S-CVI Content validity Expert rating of item relevance or essentiality (Milano et al., 15 Mar 2025, Zhang, 2 Sep 2025)
Cronbach’s alpha, CR, AVE Convergent validity / internal consistency TAM-based LLM assessment (Li et al., 11 Mar 2026)
Fornell-Larcker criterion Discriminant validity Distinctness of latent constructs in TAM (Li et al., 11 Mar 2026)
ICC(3,1), ICC(3,k) Test–retest / replication reliability AI-inferred user-state metrics (Krzeminska et al., 15 May 2026)
Factor analysis, EFA, CFA, PCA Internal structure / construct validity LLM personality and motivation studies (Wang et al., 2023, Wang, 5 Nov 2025)
Spearman or Pearson correlations, r=0.926r = 0.9260 Criterion, convergent, predictive validity CET-6 alignment, downstream behavior, TAM paths (Zhang, 2 Sep 2025, Jung et al., 13 Oct 2025, Li et al., 11 Mar 2026)

In content-validity assessment of personality tests, CVR is computed as

r=0.926r = 0.9261

where r=0.926r = 0.9262 is the number of experts rating the item as essential and r=0.926r = 0.9263 is the total number of experts (Milano et al., 15 Mar 2025). In TOEFL validity verification, the same content-validity family is extended through I-CVI and S-CVI, paired with ICC2 and ICC2k for expert agreement (Zhang, 2 Sep 2025).

In construct-validity studies using latent-variable models, factor loadings, Cronbach’s alpha, Composite Reliability, Average Variance Extracted, and the Fornell-Larcker criterion are central. In the TAM study, GPT-3.5, GPT-4, and LLaMA-3 met the thresholds for convergent validity, whereas LLaMA-2 failed on several items and scales, including PI4 loading r=0.926r = 0.9264, Cronbach’s alpha for PI r=0.926r = 0.9265, EOU r=0.926r = 0.9266, and AVE for PI r=0.926r = 0.9267 (Li et al., 11 Mar 2026).

Replication-based reliability work with LLMs uses intraclass correlations: r=0.926r = 0.9268 with thresholds of excellent, good, moderate, and poor following Koo and Li (2016) (Krzeminska et al., 15 May 2026). Cross-model agreement is then assessed with Cohen’s r=0.926r = 0.9269, MAE, and normalized MAE (Krzeminska et al., 15 May 2026). This procedure explicitly distinguishes metrics that are stable enough for real-time adaptation from those that become usable only after aggregation.

Other domains require specialized validity machinery. Verbal-confidence screening relies on contingency-table indices and a degeneracy pre-check rather than conventional internal-consistency coefficients (Cacioli, 24 Apr 2026). Digital-twin comparability uses variance decomposition, network psychometrics, configural invariance, metric invariance, and regression of prediction error on human scores (Zhang et al., 22 Dec 2025). Creativity-context generation uses a large bundle of quality indicators—coherence, relevance, engagement, significance, concreteness, uncertainty, and Diverse Verbs—combined with outcome correlations against the Alternative Uses Task and human/LLM judge agreement (Wang et al., 20 Apr 2026).

4. Human psychometrics and survey-response validation

Several papers concern psychometric validity in human-centered testing or survey environments. One line of work addresses the validity of responses themselves rather than the structure of the underlying instrument. In web-based psychometric surveys, mouse activity is used to validate whether respondents are answering authentically, without analyzing the substantive answers directly (Mastrotto et al., 2020). The rule-based method uses mouse activity and timing features, screen coverage, directional movement counts, and survey-content patterns such as identical page responses and consistency on oppositely worded questions (Mastrotto et al., 2020). Users are flagged as suspicious if they answer all questions on a page identically, finish faster than a minimum reading-time estimate benchmarked at 5:30 minutes using Medium’s 256 wpm estimation, or give similar answers to oppositely worded questions above a standard-deviation threshold (Mastrotto et al., 2020). Since no ground-truth labels were available, a vetted clean set was used to train an autoencoder to detect outliers, which then produced labels for subsequent machine-learning models (Mastrotto et al., 2020). The LSTM classifier achieved approximately R2=0.857R^2 = 0.8570 accuracy and high recall, while the HMM-based sequential anomaly detector flagged suspicious interaction patterns on a filtered subset (Mastrotto et al., 2020). The broader implication is that response-process data can augment traditional psychometric validation with non-intrusive behavioral analytics.

A more classical validation exercise is the TOEFL Academic Discussion Task study on Chinese university students. There, reliability and validity are assessed under Classical Test Theory using expert ratings, content-validity indices, ICC, and criterion correlations with CET-6 (Zhang, 2 Sep 2025). Reported values include ICC2 R2=0.857R^2 = 0.8571 and ICC2k R2=0.857R^2 = 0.8572 for expert agreement; I-CVI values of R2=0.857R^2 = 0.8573; S-CVI/Ave R2=0.857R^2 = 0.8574; S-CVI/UA R2=0.857R^2 = 0.8575; and an ADT–CET-6 writing/translation correlation of R2=0.857R^2 = 0.8576 with R2=0.857R^2 = 0.8577 (Zhang, 2 Sep 2025). Gender differences in validity indices were minimal, and the authors conclude that the task is a valid measure for Chinese test-takers without gender discrimination, while recommending further refinement of cultural sensitivity in the scoring rubric (Zhang, 2 Sep 2025).

These studies show two complementary traditions. One tradition validates the test form and score interpretation by expert judgment and criterion relations. The other validates the response process itself, seeking to detect inattentive, fraudulent, or behaviorally implausible survey completions before psychometric scores are analyzed (Mastrotto et al., 2020, Zhang, 2 Sep 2025).

5. Psychometric validity in LLMs and AI systems

The most extensive recent debate concerns whether psychometric tools designed for humans remain valid when applied to LLMs. Several papers find partial success under some criteria, but a stronger cross-paper pattern is that validity must be re-established for the target system, context, and claim rather than assumed from human precedent (Ye et al., 13 May 2025, Lin, 20 Jun 2025).

The TAM-based study of four LLMs is one of the more optimistic results. Using PLS-SEM with bootstrap resampling, it reports that GPT-3.5, GPT-4, and LLaMA-3 met convergent-validity thresholds, all models met the Fornell-Larcker criterion for discriminant validity, GPT-4 achieved the strongest predictive validity among LLMs with R2=0.857R^2 = 0.8578, and all models showed external validity through path coefficients consistent in sign, significance, and direction with human data (Li et al., 11 Mar 2026). Yet even in this favorable case, performance is stratified by model family, and LLaMA-2 fails several convergent-validity criteria (Li et al., 11 Mar 2026).

Later work is more critical. A systematic evaluation of human psychometric tests on sexism, racism, and morality finds moderate reliability under some prompt variations but strong prompt sensitivity when answer-option order is reversed, and most importantly, low ecological validity: psychometric scores do not align with downstream behavior and may negatively correlate with it (Jung et al., 13 Oct 2025). Another critique of Big Five testing in LLMs reports that adapted inventories can achieve sufficient content validity, original human-developed items cannot, between-model variance accounts for only R2=0.857R^2 = 0.8579 of total score variance, and the human five-factor structure does not recover, with four Big Five facets collapsing into one dimension with $0.40$0 (Zierahn et al., 2 Jul 2026). Direct comparisons of base and instruction-tuned variants suggest that alignment training systematically shifts scores toward socially desirable traits (Zierahn et al., 2 Jul 2026).

A related study comparing established questionnaires with ecologically valid questionnaires reaches a similar conclusion by different means. Established questionnaires yield substantially different profiles from context-rich scenario-based measures, suffer from insufficient items for stable measurement, and may create misleading impressions that LLMs possess stable constructs (Choi et al., 12 Sep 2025). High internal consistency can reflect construct recognition rather than latent-trait stability; item-construct recognition exceeds $0.40$1 on established items but is below $0.40$2 on the ecologically valid Value Portrait dataset (Choi et al., 12 Sep 2025). Reverse-coded items can even produce negative inter-item correlations (Choi et al., 12 Sep 2025).

The dual-validity framework synthesizes these issues at the level of scientific inference. It argues that using an LLM to classify text may require only basic accuracy checks, whereas claiming that a model simulates anxiety or personality requires extensive evidence across content validity, response processes, internal structure, relations to other variables, and consequences, together with causal-inference validity (Lin, 20 Jun 2025). Its central warning is that many current findings are “measurement phantoms”: statistical artifacts arising from prompt hypersensitivity, training artifacts, or mechanistic substitution rather than genuine psychological constructs (Lin, 20 Jun 2025).

The review literature broadens this diagnosis. It identifies prompt and context sensitivity, data contamination, construct mismatch, social desirability bias, anthropomorphism, and unstable factor structures as recurring threats to both validity and reliability in LLM psychometrics (Ye et al., 13 May 2025). The construct-oriented AI-evaluation agenda similarly argues that evaluation should move from narrow tasks to latent constructs, but only with careful construct identification, content mapping, factor analysis, item response modeling, and ongoing validation (Wang et al., 2023).

6. Emerging redesigns of validity for AI measurement

Rather than treating the transfer of human psychometrics to AI as uniformly invalid, several papers propose redesigned validity frameworks or alternative instruments.

One such redesign is the replicable psychometric evaluation framework for AI-inferred user states. It distinguishes metrics suitable for real-time, individual-level adaptation from those useful only for aggregated post-hoc analytics (Krzeminska et al., 15 May 2026). Each conversational segment is run through each tested LLM four times under identical conditions, and both internal reliability and inter-model agreement are evaluated. The principal empirical finding is that reliability is not a default property: across 213 tested metrics, only 31 met the criterion of excellent real-time reliability, defined as ICC(3,1) $0.40$3, consistently across all three LLMs (Krzeminska et al., 15 May 2026). This framework directly links psychometric validity to operational deployment, arguing that unstable metrics should not drive real-time adaptation even if they are stable after aggregation (Krzeminska et al., 15 May 2026).

A second redesign is GenPT, which reformulates projective testing for persona-conditioned agents by using newly generated TAT-like images, Rorschach-style inkblots, and sentence-completion stems in a three-stage pipeline of behavior collection, interpretation, and diagnosis (Wang et al., 30 May 2026). The stated design goals are decontamination, ambiguity or projection, and backbone agnosticism (Wang et al., 30 May 2026). Compared with classical self-report questionnaires, GenPT is reported to maintain symmetry under social-desirability framing, with Directional Consistency Ratio near $0.40$4, and to show stronger context responsiveness in a longitudinal counseling setting, where GenPT-based depression assessment with Qwen3 shifts by $0.40$5 versus the questionnaire’s $0.40$6 (Wang et al., 30 May 2026). The paper presents this as a complement rather than a replacement: questionnaires remain stronger for some stable traits, while GenPT is argued to be more resistant to contamination and directional bias on affect-laden tasks (Wang et al., 30 May 2026).

A third redesign is virtual respondent simulation for item validation. The mediator-based framework generates survey items, generates plausible trait-response mediators, simulates diverse virtual respondents, and then ranks items by convergent and discriminant validity against official scales (Lim et al., 8 Jul 2025). Convergent validity is defined as

$0.40$7

with discriminant validity defined by non-target trait correlations (Lim et al., 8 Jul 2025). Across Big Five, Schwartz, and VIA experiments, mediator-guided simulation outperforms baselines and random selection, suggesting a scalable route to pre-human construct-validity screening (Lim et al., 8 Jul 2025).

A fourth redesign targets assessment generation rather than respondent measurement. AlphaContext aims to improve the psychometric validity of creativity assessment by generating expert-like contexts using a HyperTree Outline Planner, MCTS-based Context Generator, MAP-Elites Evolutionary Context Optimizer, and Assessment-Guided Evolution Refiner (Wang et al., 20 Apr 2026). Its evaluation combines content-validity arguments from expert-designed outlines and psychometric guidelines with criterion evidence from a human participant study, where creativity scores derived from AlphaContext-based contexts correlate with Alternative Uses Task scores at Pearson $0.40$8 $0.40$9 (Wang et al., 20 Apr 2026). Simulated outcome studies further show Spearman $0.63$0 alignment between AlphaContext-generated and expert-written contexts, exceeding strong baseline systems (Wang et al., 20 Apr 2026). This suggests that validity can be engineered into assessment materials through structured generation and outcome-based refinement.

7. Controversies, failure modes, and interpretive limits

A major contemporary controversy is whether psychometric validity in AI should be understood as transfer, adaptation, or replacement of human measurement theory. The reviewed work does not converge on a single answer, but it identifies recurring failure modes.

Construct mismatch is the most pervasive concern. Human constructs presuppose embodiment, persistent selves, affective states, or causal mechanisms that LLMs may not possess. The dual-validity perspective therefore argues that moving from prompt response to psychological construct requires explicit evidence about response processes and causal production, not only surface score patterns (Lin, 20 Jun 2025). The Big Five critique reaches a similar endpoint empirically: even when content-valid items can be written for chatbots, the resulting scores do not recover meaningful inter-individual differences or the human latent structure (Zierahn et al., 2 Jul 2026).

Prompt hypersensitivity and response-format dependence threaten both reliability and validity. This appears in morality, sexism, and racism tests when answer-order reversals sharply reduce consistency (Jung et al., 13 Oct 2025); in verbal confidence elicitation, where numeric outputs saturate at the ceiling and categorical elicitation disrupts task performance (Cacioli, 24 Apr 2026); and in general discussions of LLM psychometrics, where minor wording, order, or punctuation changes can flip outcomes (Lin, 20 Jun 2025, Ye et al., 13 May 2025).

Social desirability and alignment artifacts can inflate apparent validity. In projective-versus-self-report comparisons, questionnaires exhibit systematic directional drift under framing, especially on suicide ideation, whereas GenPT remains near the symmetric baseline (Wang et al., 30 May 2026). In Big Five testing, instruction tuning shifts models toward high Agreeableness, Conscientiousness, Extraversion, Openness, and low Neuroticism (Zierahn et al., 2 Jul 2026). In ecologically valid questionnaire comparisons, established questionnaires exaggerate persona differences relative to context-rich instruments (Choi et al., 12 Sep 2025).

Aggregation can conceal instability. The user-state reliability framework shows that poor single-run stability can coexist with strong aggregated reliability (Krzeminska et al., 15 May 2026). This is not merely a technical nuance: it determines whether a metric is admissible for real-time individual adaptation or only for post-hoc analysis (Krzeminska et al., 15 May 2026).

Ecological validity may diverge from convergent validity. A striking pattern in LLM assessment is that scores can reproduce theory-based inter-test correlations yet fail to predict real-world-like behavior (Jung et al., 13 Oct 2025). This suggests that nomological coherence among tests does not guarantee actionable meaning outside the test format.

A plausible implication is that “psychometric validity” is becoming increasingly use-conditional. The same score may be valid for one inferential target and invalid for another. This is made explicit in both the validity-centered framework for AI evaluation and the dual-validity framework, where the evidence required scales with the ambition of the claim (Salaudeen et al., 13 May 2025, Lin, 20 Jun 2025).

8. Historical roots and contemporary significance

The historical review on statistical learning in psychometrics places modern concerns with regularization, cross-validation, and predictive validity within a much older tradition (Rooij et al., 2019). It argues that early psychometric literature already engaged with questions now central to machine learning, including the bias-variance trade-off, cross-validation, regularization, and basis expansion (Rooij et al., 2019). Two specific conclusions are especially relevant to contemporary validity debates. First, predictive validity should be assessed out-of-sample rather than by in-sample multiple correlation alone. Second, regularization toward equal regression coefficients can be beneficial in terms of prediction error, particularly when variables are conceptually similar or highly collinear (Rooij et al., 2019). In that sense, current AI psychometrics extends rather than replaces longstanding psychometric concerns.

The broader contemporary significance of psychometric validity lies in its role as a constraint on interpretation. In survey-quality control, it motivates behavior-based filtering of suspect responses before substantive analysis (Mastrotto et al., 2020). In educational testing, it governs arguments about fairness, criterion alignment, and score use across demographic groups (Zhang, 2 Sep 2025). In AI evaluation, it disciplines the leap from benchmark performance to claims about reasoning, personality, morality, or user-state inference (Wang et al., 2023, Salaudeen et al., 13 May 2025). In digital-twin research, it specifies the boundary between acceptable within-person proxying and unacceptable substitution for population heterogeneity or temporal sensitivity (Zhang et al., 22 Dec 2025).

Across these domains, the central lesson is consistent: validity is not a default property, not a synonym for internal consistency, and not secured by plausible outputs alone. It is an evidential argument that must be constructed for the intended construct, population, operational context, and use case, and it can fail even when scores appear coherent, reliable under some conditions, or aligned with theory at the aggregate level (Krzeminska et al., 15 May 2026, Jung et al., 13 Oct 2025, Lin, 20 Jun 2025).

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