Tenko Raykov’s research while affiliated with Michigan State University and other places

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Publications (248)


Evaluating Change in Adjusted R-Square and R-Square Indices: A Latent Variable Method Application
  • Article

April 2025

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4 Reads

Tenko Raykov

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Christine DiStefano

A procedure for interval estimation of the difference in the adjusted R -square index for nested linear models is discussed. The method yields as a byproduct confidence intervals for their standard R -square difference, as well as for the adjusted and standard R -squares associated with each model. The resulting interval estimate of the difference in adjusted R -square represents a useful and informative complement to the commonly used R -square change statistic and its significance test in model selection and contains substantially more information than that test. The outlined procedure is readily employed with popular software in empirical educational and psychological studies and is illustrated with numerical data.


Individual’s fatigue severity scores across time points. Each line represents an individual patient’s fatigue trajectory over time
Mean changes in fatigue severity: observed sample mean vs. estimated mean by the selected quadratic model
Fatigue in hematological cancer changes across chemotherapy trajectory within the context of IL-6, not hemoglobin level: evidence from growth curve modeling
  • Article
  • Publisher preview available

February 2025

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7 Reads

Supportive Care in Cancer

Purpose The present study aimed to examine (a) how fatigue severity changes during the course of chemotherapy in patients with hematologic cancer and (b) whether cytokines (IL-1 alpha, IL-1 beta, IL-6) are associated with fatigue change after controlling for demographic and clinical factors (e.g., hemoglobin/hematocrit, medications, comorbid conditions). Methods This observational cohort study used data from 148 hematological cancer patients four times: prior to chemotherapy, on the last day of chemotherapy, 1 week after the chemotherapy completion, and 1 month after baseline assessment. Latent growth curve modeling was used to examine the longitudinal association of fatigue severity with cytokines and hemoglobin. Results A quadratic growth curve model fit the data well, indicating model tenability, and explained a large amount of variance in fatigue across measurement time points. Fatigue slightly increased toward the end of chemotherapy and decreased with time after chemotherapy completion. The influence of IL-6 on fatigue was significant at all time points except at the last assessment occasion (i.e., 1 month after the baseline assessment). The influence of IL-6 on fatigue was independent (unique) from the impact of hemoglobin level. Age and chemotherapy given for the first line of treatment significantly influenced the rate of fatigue change over time. Age also influenced the change pattern’s shape. Conclusions Fatigue severity changes across the course of chemotherapy within the context of IL-6 activity, not the hemoglobin level. The influence of IL-6 may be limited during and shortly after chemotherapy. These findings inform the development of new symptom management strategies.

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An Omega-Hierarchical Extension Index for Second-Order Constructs With Hierarchical Measuring Instruments

January 2025

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1 Read

An index extending the widely used omega-hierarchical coefficient is discussed, which can be used for evaluating the influence of a second-order factor on the interrelationships among the components of a hierarchical measuring instrument. The index represents a useful and informative complement to the traditional omega-hierarchical measure of explained overall scale score variance by that underlying construct. A point and interval estimation procedure is outlined for the described index, which is based on model reparameterization and is developed within the latent variable modeling framework. The method is readily applicable with popular software and is illustrated with examples.


Reliability

November 2024

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2 Reads

In a time where new research methods are constantly being developed and science is evolving, researchers must continually educate themselves on cutting-edge methods and best practices related to their field. The second of three volumes, this Handbook provides comprehensive and up-to-date coverage of a variety of issues important in developing, designing, and collecting data to produce high-quality research efforts. First, leading scholars from around the world provide an in depth explanation of various advanced methodological techniques. In section two, chapters cover general important methodological considerations across all types of data collection. In the third section, the chapters cover self-report and behavioral measures and their considerations for use. In the fourth section, various psychological measures are covered. The final section of the handbook covers issues that directly concern qualitative data collection approaches. Throughout the book, examples and real-world research efforts from dozens of different disciplines are discussed.



On Latent Structure Examination of Behavioral Measuring Instruments in Complex Empirical Settings

October 2024

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3 Reads

Educational and Psychological Measurement

A multiple-step procedure is outlined that can be used for examining the latent structure of behavior measurement instruments in complex empirical settings. The method permits one to study their latent structure after assessing the need to account for clustering effects and the necessity of its examination within individual levels of fixed factors, such as gender or group membership of substantive relevance. The approach is readily applicable with binary or binary-scored items using popular and widely available software. The described procedure is illustrated with empirical data from a student behavior screening instrument


Can One Pool Over Site in a Multi-Site Study With Categorical Item Measuring Instruments?: A Multiple Testing Procedure

July 2024

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3 Reads

Educational and Psychological Measurement

We outline a procedure for examining collapsibility over site in multiple-location settings that are frequently utilized in contemporary educational and behavioral research. The method is based on a test of cross-site identity of the response distributions of polytomous items in multi-component measuring instruments, which implies the possibility to pool over study location. The approach is readily applicable in empirical studies using popular and widely circulated software and is generalizable to various types of items. The described procedure is illustrated with data from a child development survey.


Can One Pool Over Site in a Multi-Site Study With Categorical Item Measuring Instruments?: A Multiple Testing Procedure

July 2024

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6 Reads

Educational and Psychological Measurement

We outline a procedure for examining collapsibility over site in multiple-location settings that are frequently utilized in contemporary educational and behavioral research. The method is based on a test of cross-site identity of the response distributions of polytomous items in multi-component measuring instruments, which implies the possibility to pool over study location. The approach is readily applicable in empirical studies using popular and widely circulated software and is generalizable to various types of items. The described procedure is illustrated with data from a child development survey.



Studying Factorial Invariance With Nominal Items: A Note on a Latent Variable Modeling Procedure

June 2024

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10 Reads

Educational and Psychological Measurement

A latent variable modeling procedure for studying factorial invariance and differential item functioning for multi-component measuring instruments with nominal items is discussed. The method is based on a multiple testing approach utilizing the false discovery rate concept and likelihood ratio tests. The procedure complements the Revuelta, Franco-Martinez, and Ximenez approach to factorial invariance examination, and permits localization of individual invariance violations. The outlined method does not require the selection of a reference observed variable and is illustrated with empirical data.


Citations (73)


... Bader and Moshagen (2022) argued that for models with added complexities (i.e., crossloadings, residual correlations), fit indices with penalty for model complexity (i.e., Bayesian information criterion [BIC]) do not necessarily favor bifactor models when compared to alternative models such as higher order and correlated factors models. Raykov et al. (2024) also provided evidence that bifactor models are not preferred to higher order models by the BIC. While these are encouraging findings, they do not negate a very large literature demonstrating that the bifactor model often fits better than other factor models to real data. ...

Reference:

Evaluating Statistical Fit of Confirmatory Bifactor Models: Updated Recommendations and a Review of Current Practice
A Note on Comparing the Bifactor and Second-Order Factor Models: Is the Bayesian Information Criterion a Routinely Dependable Index for Model Selection?
  • Citing Article
  • April 2023

Educational and Psychological Measurement

... Not much (e.g., Edwards et al., 2021;Gu et al., 2013;Hussey & Hughes, 2020;Savalei & Reise, 2019). Raykov and Marcoulides (2023; see also Raykov et al., 2024) developed a method for estimating the magnitude of underestimation. ...

Scale Reliability Evaluation Using Bayesian Analysis: A Latent Variable Modeling Procedure
  • Citing Article
  • February 2024

Measurement Interdisciplinary Research and Perspectives

... Reliability indicators were also analyzed through the Cronbach's Alpha (α) and McDonald's Omega (ω) internal consistency coefficients of all dimensions and the general factor of the scale (Malkewitz et al., 2023;McDonald, 1999;Raykov et al., 2024;Rodríguez et al., 2016). Despite the fact that Cronbach's alpha (α) is the most common coefficient to evaluate and estimate internal consistency, omega (ω) is a factor analytic model-based coefficient of internal consistency that does not rely on tau-equivalence assumptions (i.e., unidimensionality, equal variances and covariances of the expected scores for the items) (Malkewitz et al., 2023;McDonald, 1999). ...

Evaluating Cronbach’s Coefficient Alpha and Testing Its Identity to Scale Reliability: A Direct Bayesian Confirmatory Factor Analysis Procedure
  • Citing Article
  • February 2024

Measurement Interdisciplinary Research and Perspectives

... Checks of the quality of these coefficients were performed in taking different perspectives, such as the performance under deviation from tauequivalence (Gu et al., 2013;Raykov, 1997), under deviation from the homogeneity of the item set (Raykov, 1998;Raykov & Marcoulides, 2015), under deviation from completeness of data (i.e., missing data) (Enders, 2004;Zhang & Yuan, 2016), in data with correlated errors (Gu et al., 2013;Raykov, 2001), in data with non-normality/bias (Bell et al., 2024;Sheng & Sheng, 2012;Xiao & Hau, 2023), in data with sampling error (Deng & Chan, 2017), and in data with outlying observations (Liu et al., 2010;Zhang & Yuan, 2016). Other evaluation studies compared coefficient Alpha with coefficient Omega (e.g., Deng & Chan, 2017;Doval et al., 2023;Hayes & Couts, 2020;Malkewitz et al., 2023;Maydeu-Olivares et al., 2007) and outlined the benefits for application (Raykov, 2024). Furthermore, efficiency-enhancing modifications were proposed (Zhang & Yuan, 2016) and applicability for multivariate measurement was established (Alonso et al., 2010;Tarkkonen & Vehkalati, 2005). ...

On the Benefits of Using Maximal Reliability in Educational and Behavioral Research
  • Citing Article
  • December 2023

Educational and Psychological Measurement

... In the ISSP it is measured with seven scale points with "completely dissatisfied" to "completely satisfied", as endpoints, and the question text is "All things considered, how satisfied are you with your life as a whole nowadays?", i.e. almost identical to the EVS text, thus comparability should be less of an issue than with more divergent wordings (Singh et al. 2023). The harmonization of these scales will be the primary empirical aspect of the study. ...

Assessing conceptual comparability of single-item survey instruments with a mixed-methods approach

... We used different IRT models to estimate competence values for GPK and both types of communication to gain precise competence estimations for further analysis (Embretson and Reise, 2013;Boone, 2016). The mean of the estimated competence values is 0 and the standard deviation is 1 (Raykov and Marcoulides, 2018). Additionally, because IRT models are capable to work with missing data (as long as the data is missing completely at random), they are useful for analysis of data from multi-matrix design (Hartig and Frey, 2013;Raykov and Marcoulides, 2018). ...

Item Response Theory and Modeling with Stata
  • Citing Article
  • June 2023

Measurement Interdisciplinary Research and Perspectives

... Not much (e.g., Edwards et al., 2021;Gu et al., 2013;Hussey & Hughes, 2020;Savalei & Reise, 2019). Raykov and Marcoulides (2023; see also Raykov et al., 2024) developed a method for estimating the magnitude of underestimation. ...

Evaluating the Discrepancy Between Scale Reliability and Cronbach’s Coefficient Alpha Using Latent Variable Modeling
  • Citing Article
  • March 2023

Measurement Interdisciplinary Research and Perspectives

... This indicates the relevance of such research methods in constructing confidence intervals and testing joint hypotheses, as shown in the current study. And while T. Raykov et al. (2022) confirmed the strong convergence of the Bayesian estimator of the median of the posterior distribution to the true parameter, the present study obtained similar results, which showed the advantages of Bayesian estimators in large samples. ...

Applications of Bayesian Confirmatory Factor Analysis in Behavioral Measurement: Strong Convergence of a Bayesian Parameter Estimator
  • Citing Article
  • November 2022

Measurement Interdisciplinary Research and Perspectives

... The information was directly obtained from these targeted respondents. Reliability is dependability or trustworthiness and in the context of the measuring instrument, it is the degree to which the instrument consistently measures whatever it is measuring (Raykov et al., 2023). ...

On the Importance of Coefficient Alpha for Measurement Research: Loading Equality Is Not Necessary for Alpha’s Utility as a Scale Reliability Index
  • Citing Article
  • July 2022

Educational and Psychological Measurement

... [3][4][5] Conceptually, the point at which the traceline for "definitely pericarditis" intersected with the traceline for "definitely STEMI" identified an ECG along the confusability continuum for which that participant would demonstrate equipoise in choosing either diagnosis. 12 Whereas the typical IRM model allows us to determine how responses to an item separate participants by their level of ability, the DA-RM interpretation allows us to evaluate how each participant is able to separate ECGs by their degree of resemblance to STEMI. ...

Evaluation of Polytomous Item Locations in Multicomponent Measuring Instruments: A Note on a Latent Variable Modeling Procedure
  • Citing Article
  • March 2022

Educational and Psychological Measurement