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What is the best way to elicit forecasts if the goal is to measure the skill of forecasters? For continuous outcomes, there are two common approaches: elicit probabilities at fixed quantiles of the outcome distribution (e.g., what is the probability gas will cost less than $4.00 per gallon in 1 month?), or elicit quantiles at fixed probabilities (e.g., what is the price such that there is a 25% chance a gallon of gas will cost less than it in 1 month?). We compare these methods using a simulation study and a longitudinal survey in which 1,194 participants provided five waves of forecasts in both formats on a total of 36 real-world questions. Although probability elicitation is more ubiquitous in the literature, we show in our simulation and survey data that quantile elicitation allows us to estimate forecaster skill more efficiently with less measurement error. While quantile elicitation is time-consuming and associated with comprehension difficulty indicated by incoherent forecasts (violations of monotonicity), there is a clear reduction in incoherence across survey waves, suggesting comprehension of the quantile elicitation format improves with practice and is trainable.
Youths experience mental health challenges which are associated with their biopsychosocial development. However, this has been exacerbated by technological advances and their attendant challenges. Therefore, there is a need to periodically screen youths’ mental health using psychometrically valid scales so as to offer appropriate preventive and interventional programmes for them. This study examined the preliminary psychometric properties of eight mental health scales and their relationships among youths in Hong Kong. A total of 428 youths were conveniently recruited to respond to measures on depression, anxiety, somatic symptoms, smartphone application-based addiction, obsessive–compulsive symptoms, internet addiction, insomnia, life satisfaction, stress and cognitive fatigue. Data were analysed using Confirmatory factor analysis (CFA) and Pearson’s r. Generally, CFA fits (comparative fit index >0.9, Tucker–Lewis index >0.9, root mean square error of approximation <0.08 and standardised root mean square residual <0.08), average variance extracted (ranging between 0.531 and 0.724), composite reliability (ranging between 0.875 and 0.946) and internal reliability (Cronbach’s α = 0.834–0.918 and McDonald’s ω = 0.860–0.925) for the scales were acceptable. Correlations were significant among all measures (ps < 0.001). The CFA indices and correlational analyses suggest that all eight mental health measures have acceptable reliability and construct–convergent validity. Health and research professionals can use these scales to promote mental health activities among youths in Hong Kong.
This chapter motivates the project of the book by arguing against the decompositional picture of action. It is argued that this picture alienates agents from their own actions, by restricting their role to merely providing goals and plans while delegating execution to sub-personal mechanisms. Through analysis of agential control – the distinctive guidance agents exercise over their intentional actions – the chapter demonstrates that standard approaches fail to capture genuine agent involvement. Special attention is given to contemporary reliability-based accounts of control, as well as to approaches that appeal to knowledge-how. Neither approach, it is argued, suffices to avoid the problems with the decompositional picture. The chapter concludes that an alternative account is needed, where the mind is genuinely embodied in overt action. As part of clearing the ground for the arguments that follow, the chapter provides responses to recent, empirically motivated scepticism about the concept of intentional action, and suggests that agential control is the ‘mark’ of intentional action.
This chapter examines two dimensions of AI assurance for systems designed to assist unrepresented litigants: (1) reliability and (2) privacy and accountability. Reliability encompasses accuracy, calibration, robustness, and bias. Privacy and accountability involve balancing data needs with the protection of sensitive information and ensuring the responsible deployment of AI. These considerations take on heightened importance given unrepresented litigants’ unique vulnerabilities and legal contexts.
Reliability standards must be higher for unrepresented litigants, who cannot verify AI outputs, than for legal professionals, who can exercise oversight. Privacy and accountability challenges arise from AI systems’ need for vast training datasets containing sensitive legal information, creating tensions between the effectiveness of these systems and data protection rights under frameworks such as the General Data Protection Regulation (“GDPR”) and the EU AI Act.
Effective AI assurance requires interdisciplinary collaboration between technologists and legal stakeholders to develop appropriate methodologies for defining, measuring, and verifying both reliability and privacy protections in legal AI systems.
This chapter addresses diagnostic studies, which evaluate the performance of clinical tests and tools used to detect disease. The concepts of sensitivity, specificity, positive predictive value, and negative predictive value are explained in detail, highlighting how these metrics guide clinicians in interpreting test results. The role of prevalence in influencing predictive values is emphasised, underlining the need to consider population context when applying diagnostic tools. Receiver operating characteristic (ROC) curves are introduced as a method to assess test performance across varying thresholds, enabling identification of optimal cut-off points. The chapter also explores likelihood ratios, which integrate sensitivity and specificity into a single measure to support diagnostic decision-making. Strengths of diagnostic studies include their direct clinical relevance and utility in evaluating new technologies or biomarkers. Limitations include potential spectrum bias, verification bias, and challenges in defining an appropriate gold standard. Examples from infectious disease testing and mental health screening illustrate the practical implications of study design and interpretation. The chapter concludes by positioning diagnostic research as critical for improving clinical decision-making, resource allocation, and patient outcomes. This chapter maps to syllabus sections 3.2.5–3.2.8, which cover diagnostic accuracy measures including sensitivity, specificity, predictive values, likelihood ratios, and ROC curves.
Theory-driven computational psychiatry attempts to use cognitive models of computation to understand how mental health problems might relate to cognitive processes such as learning and decision-making. However, the potential applications and relevance of this approach are contingent on several (often implicit) assumptions, including that computational parameters 1) are recoverable, 2) are reliable over time, 3) reflect conceptually similar processes across different tasks, and 4) relate to symptoms.
Methods
To illustrate and test these assumptions for a selection of commonly used cognitive tasks, we recruited a large online sample of participants (n = 548), who completed seven mental health questionnaires and five tasks. A subset of n = 115 re-completed the tasks 14 days later. For each task, five models were fit, and the winning model was selected through Bayesian model comparison.
Results
The parameters of the winning models showed excellent recovery and good-to-excellent test-retest reliability. Parameters that were theoretically similar to each other were, however, generally not related, with relationships only found within the class of ‘inverse temperature’-like parameters. Finally, only parameters from two of the five tasks (four-armed bandit and cognitive effort) related to symptoms, and these relationships were weak.
Conclusions
It seems that at least some of the implicit assumptions made when advocating for the use of computational models in psychiatry are not met for these popular tasks and computational models. Computational psychiatry researchers should carefully assess the assumptions and psychometric properties of their tasks and models as part of their early-phase development to ensure robustness of the field going forward.
In the context of classical test theory, we study under which conditions addition of an item to a unifactorial test increases the reliability of the test score. We distinguish item weights used to construct a sum score and item factor loadings. We show that the reliability of a weighted sum score increases if the scoring weight of the new item is set sufficiently low. We conclude that any negative contribution to the reliability is not caused by inclusion of the new item per se, but by inadequate weighting of the new item. We also show that if the unweighted sum score is being used with items that have equal error variances, inclusion of a new item increases reliability if the factor loading of the new item is greater than about half of the mean loading of the other items. For standardized items, with loadings based on correlations, we derive lower bounds for the loading of a new item based on the mean and variance of the existing loadings. Instead of removing items when their factor loading is below 0.30, we recommend lowering their scoring weight if they reduce reliability.
This chapter offers readers a transparent view into the research methodology used to investigate mathematics anxiety and assess the impact of a targeted pedagogical intervention on students’ reported anxiety and attitudes towards statistics and quantitative research methods. It provides a detailed account of the research participants, ethical considerations, and the multi-mixed methods approach employed. The chapter also critiques the validity, reliability, and trustworthiness of the research design and findings, ensuring methodological rigour. A candid discussion of the study’s limitations further strengthens its credibility. It is an essential reading for educators, researchers, and anyone committed to evidence-based improvements in mathematics education.
Over 45 years ago, William Revelle proposed a reliability measure based on the worst split-half of a test or scale, commonly known as Revelle’s beta, to assess the general factor saturation. However, to this day, there is no reliable method for computing this measure, as existing approaches are either computationally infeasible or insufficiently accurate in identifying the worst split-half. This difficulty arises because the number of candidate splits increases exponentially with the number of items. In this article, we show that computing Revelle’s beta is conceptually equivalent to divisive (“top-down”) hierarchical clustering. This insight allows us to reduce the number of candidate splits to a quadratic problem, making the computation feasible. We specify theoretical conditions under which this approach is guaranteed to recover the worst split-half. To validate the efficiency of our approach, we conduct simulation studies and analyze real-world data. Code implementations accompanying this work are available online, together with Supplementary Material.
Defined by DSM-5-TR as a neurodevelopmental disorder, attention-deficit/hyperactivity disorder (ADHD) has attracted ever-mounting attention from the public, coupled with a growing interest from clinicians, researchers, and patients. This is reflected in significantly higher demand for clinical assessments and frequent media reports of a surge in ADHD cases across the lifespan. These trends are puzzling as it is unknown what they truly reflect: an improvement in clinical detection or a concerning degree of overdiagnosis? A key reason for this uncertainty is our limited understanding of the disorder and imprecision of the diagnosis – a long-running subject of criticism. To better understand these issues, in this article, we deconstruct ADHD through the lens of its DSM-5-TR diagnostic criteria – the basis upon which the diagnosis is routinely made. Our in-depth analysis reveals major problems associated with the diagnostic criteria with respect to their arbitrariness, vagueness, redundancy, and context-dependent normality, which together substantially undermine the validity and reliability of the diagnosis, and the ADHD construct itself, blunting the precision of ADHD research, clinical decisions, and the effectiveness of treatment – all of which are contingent on having a robust diagnosis in the first place. Hence, our detailed deconstruction of the diagnosis of ADHD is critical as it provides the necessary groundwork for its accurate reconstruction – an essential step towards developing a valid, reliable, and clinically meaningful diagnostic foundation that will inform research and improve clinical care for patients with attentional and hyperactivity–impulsivity problems.
Pfadt et al. present accessible methods for estimating conditional standard errors of measurement (CSEMs) and implement them in the open-source software JASP. Their emphasis on individual-level precision represents an important contribution to applied measurement practice. This commentary discusses several conceptual issues that clarify and extend the authors’ treatment of dimensionality, error definition, and score interpretation. The aim is to strengthen alignment between CSEM estimation and the interpretive purposes for which test scores are used.
A discussion is provided of several issues related to behavioral measurement that arise from Pfadt et al. (2026, Psychometrika, 2026, 1–35). The note may be viewed in part as a complement to their developments regarding precision estimation for individual test scores.
This study aimed to adapt the Chronic Conditions Physician–Patient Relationship Scale (CC-PPR) into Turkish and to examine its validity and reliability among patients with chronic diseases receiving care from family physicians.
Methods:
A methodological study was conducted with 254 adult patients attending the Family Medicine Centers between May 01-October 01, 2025. The adaptation process followed World Health Organization guidelines. Construct validity was examined using confirmatory factor analysis (CFA), and reliability was assessed through internal consistency (Cronbach’s α, McDonald’s ω) and item–total correlations.
Results:
The CFA supported the original one-factor, 22-item structure with an excellent model fit (χ2[209] = 59.847, p = 1.000; comparative fit index [CFI] = 1.000; Tucker–Lewis index [TLI] = 1.016; root mean square error of approximation [RMSEA] = 0.000; standardized root mean square residual [SRMR] = 0.048). Sampling adequacy was good (Kaiser–Meyer–Olkin [KMO] = 0.970; Bartlett’s χ2[231] = 5934.429, p < 0.001). All standardized factor loadings were high (0.63–0.81, p < 0.001). Internal consistency was excellent (Cronbach’s α = 0.977; McDonald’s ω = 0.976), and corrected item–total correlations ranged from 0.74 to 0.86. Marital status, employment status, and type of health institution were significantly associated with relationship scores (p < 0.05).
Conclusion:
The Turkish version of the CC-PPR is a psychometrically robust, unidimensional, and reliable tool for evaluating the quality of family physician–patient relationships among individuals with chronic conditions. It can be used to assess communication and relational competencies of family physicians, support patient-centred care initiatives in chronic disease management.
Edited by
Daniel Naurin, University of Oslo,Urška Šadl, European University Institute, Florence,Jan Zglinski, London School of Economics and Political Science
The chapter discusses the creation and maintenance of databases offering accurate, research-ready data for multidisciplinary use. It draws on the experience with the IUROPA CJEU Database Project (IUROPA), which has collected data about the decision-makers and the decisions of the Court of Justice of the European Union (CJEU). IUROPA and similar multi-user databases must live up to four criteria for databases, as proposed by Weinshall and Epstein. First, they must address real-world problems. Second, they must be open and accessible. Third, they must deliver reliable and reproducible data. Fourth, they must be ageless and easily calibrated to research purposes unknown at the time of data collection and cleaning. These criteria involve trade-offs: the quest for reliability may, first, precipitate difficult choices such as whether to discard or improve upon ‘imperfect’ data or tempt creators to endlessly postpone publication of ‘incomplete’ data; second, sustainability and human intervention are inversely proportionate when it comes to database maintenance; finally, a fledgling discipline like empirical legal studies in EU law imposes a disproportionate time commitment and financial responsibility on a small group of researchers.
Edited by
Daniel Naurin, University of Oslo,Urška Šadl, European University Institute, Florence,Jan Zglinski, London School of Economics and Political Science
Empirical legal studies in EU law routinely, if not inevitably, engage with text. From the decisions of national courts applying EU law, applicants’ case filings, to the Court’s own jurisprudence, these texts are an invaluable source of information for researchers seeking to understand the dynamics involved in the shaping of EU law and its broader societal impact. Distilling relevant information from legal texts, however, is anything but trivial. Intended to serve as a reference manual, the chapter offers detailed guidelines to researchers of both law and political science interested in employing a text-as-data approach to the study of EU law. To this end, we elaborate on how to conceptualise real-life phenomena in a way that renders them conducive to measurement, providing practical guidance on hand-coding and the use of deep learning classifiers. Further, we address potential challenges arising in the specific context of EU law. This includes limitations to access to relevant documents, as well as ensuring inter-coder reliability in data collection efforts that require specialised legal expertise.
Intraclass correlation coefficient (ICC) estimates are necessary for several statistical techniques. Researchers need accurate ICC estimates when conducting prospective power analyses for clustered data scenarios. In addition, meta-analysts require reasonable ICC values when adjusting effect size estimates to account for clustered primary study data or to correct for psychometric artifacts when using the ICC as a reliability measure. The validity of these analyses hinges on the accuracy of the ICC estimate. Beyond these secondary analyses, ICC estimates have been used as the focal outcome of meta-analysis itself to obtain a pooled measure of agreement, reliability, or the influence of a cluster’s effect. This study evaluates how well meta-analytically pooled ICC estimates recover the population ICC parameter value when using different ICC variance formulas as the inverse variance weights used in the pooling. We found that the variance formula that uses a normalizing transformation performs best across most conditions.
This study aimed to culturally adapt the Self-Blame Attributions for Cancer Scale (SBAC) into Turkish and evaluate its psychometric properties, including validity and reliability.
Method
This methodological study enrolled 161 patients from both inpatient and outpatient oncology departments of a university hospital during a 1-year observation period (March 2024–March 2025). Participant data were obtained by using 2 instruments: a demographic questionnaire and the adapted Turkish version of “the SBAC.”
Results
Confirmatory factor analysis revealed strong factor loadings ranging from 0.670 to 0.850, indicating good item reliability. Model fit statistics demonstrated excellent psychometric properties (χ2/df = 2.00; root mean square error of approximation = 0.079; Comparative Fit Index = 0.99; standardized root mean square residual = 0.042; Tucker–Lewis Index = 0.98; root mean square residual = 0.042). The scale showed high internal consistency, with a total Cronbach’s α of 0.93 and subscale α coefficients ranging from 0.85 to 0.90. The original 2-factor structure of the SBAC was supported.
Conclusion
The study confirmed the bidimensional structure (11 items) of SBAC’s Turkish version with excellent validity and reliability indices, supporting its cultural and psychometric adequacy for Turkish samples.
Beginning with the eerie history of Edinburgh’s South Bridge vaults, Chapter 3 investigates how supernatural encounters are often reported in places associated with death, decay, and sensory uncertainty. Here, we explore the connection between electromagnetic fluctuations, ambiguous sensory experiences, and supernatural perceptions. The chapter explores the human tendency to assign meaning to ambiguous stimuli and introduces key concepts in measurement science, such as reliability and validity. It also addresses the limited evidence for human sensitivity to EMF changes. Disruptions in spatial and body awareness in the brain can lead to experiences like feeling a presence or seeing a shadow figure. Together, these ideas offer plausible brain-based explanations for some ghostly encounters and demonstrate how the brain strives to make sense of the unknown when sensory information is unclear.
The Canadian Ultra-Processed Product Screener (CUPS) was developed to rapidly assess ultra-processed food (UPF) and drink product intake among Canadian adults. The CUPS is an online self-administered screener that includes twenty-eight questions and assesses the intake of a variety of UPF available in Canada, both in French and English. This study aimed to assess the construct validity and reliability of the CUPS among a sample of adults in Canada.
Design:
Cross-sectional study (between July and November 2023).
Settings:
Participants completed the online CUPS screener in three versions (1-d (twice), 7-d and 30-d CUPS) and three 24-h dietary recalls (24HR) (the reference measure) over the course of 26–28 d.
Participants:
354 Canadians aged 18–60 years
Results:
The CUPS had an acceptable construct validity, with moderate correlation coefficients between the CUPS score and UPF consumption level measured using multiple 24HR (from 0·33 to 0·44). Reproducibility was also acceptable (intraclass correlation = 0·61) and internal consistency ranged from good to excellent (Cronbach’s α = 0·72 for the 1-d and 0·86 for the 30-d CUPS). CUPS scores were also associated with higher intake of added sugars, saturated fats and Na.
Conclusions:
This study provides evidence supporting the construct validity and reliability of the CUPS among Canadian adults. The CUPS is useful for identifying low and high consumers of UPF and could serve as a proxy measure for one key dimension of diet quality, which is the type of food processing.
Punching shear failure in slab-column connections is a brittle collapse mode that threatens the safety of flat reinforced concrete (RC) slabs. Conventional design provisions are generally conservative but exhibit inconsistencies across geometric and material variations. This study develops an eXtreme Gradient Boosting (XGBoost) model to predict the ultimate punching shear capacity of flat RC slabs, using a database of experimental results categorized by four different geometric domains, including square slab with square column, circular slab with circular column, square slab with circular column, and circular slab with square column, covering the geometric, materials strength, and reinforcement properties of input parameters. The model achieved high predictive accuracy across the domains with coefficient of determination (R2) values > 0.930 in unseen testing datasets with minimal bias (0.994–1.006) and reduced scatter. Model interpretability, addressed through the SHapley Additive exPlanations analysis, confirmed slab thickness and average effective depth as the most critical predictors of shear capacity, followed by concrete strength and reinforcement parameters, while boundary condition parameters showed negligible influence due to the predominance of interior column cases. These findings demonstrate that XGBoost provides accurate, reliable, and interpretable predictions of punching shear capacity, offering a data-driven alternative to code-based methods and supporting safer and more consistent design of flat RC slabs.