Three-Stratum Theory at 30: Theory, Measurement, and Application

A special issue of Journal of Intelligence (ISSN 2079-3200).

Deadline for manuscript submissions: closed (20 October 2023) | Viewed by 11770

Special Issue Editors


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Guest Editor
Department of Educational Psychology, School of Education and Human Sciences, University of Kansas, Lawrence, KS 66045, USA
Interests: intelligence; psychological assessment; intelligence testing; latent variable modeling; psychometrics

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Guest Editor
Department of Psychological Studies in Education, Temple University, Philadelphia, PA 19122, USA
Interests: psychological assessment of cognitive abilities and personality; psychotherapy with individuals, groups, couples, and families; psychometrics, statistics and research methods

Special Issue Information

Dear Colleagues,

It has been almost thirty years since the publication of John Carroll’s book: Human cognitive abilities: A survey of factor analytic studies. The three-stratum theory described in this book elegantly outlined fundamental human cognitive abilities. In many ways, this hierarchical and multidimensional theory was similar to hierarchical theories proposed by other prominent intelligence researchers. However, the work represented a defining moment in the history of psychometric intelligence, largely because of its influence on subsequent investigations into the structure and measurement of intelligence.

The three-stratum theory has been highly influential in terms of our understanding of the structure of psychometric intelligence. Intelligence may now be defined by “the various factorial constructs that underlie it and specifying their structure” (Carroll, 1993, p. 627). Carroll described the primary factorial constructs and proposed a structural model to account for their relations. Many studies have been conducted thereafter. What else has been learned about intelligence and its structure since then? What did the original theory miss? What did the theory get right? What did it get wrong?

The three-stratum theory transformed the measurement of human cognitive abilities in many applied settings such as in schools and clinics. Carroll’s work provided a blueprint from which to classify and organize individual measures of human cognitive abilities and thus a link from theory to measurement. Those in applied psychology caught on to this concept, and thus, individual measurements and test batteries were developed to measure aspects of the theory. How has the theory influenced the construction of intelligence measures? How has the theory influenced interpretations of scores derived from those measures?

Despite the three-stratum theory being considered as the grand theory of psychometric intelligence, Carroll (1998) himself warned that his model should not be interpreted as the final theory of psychometric intelligence. The general framework for the theory and certain aspects of the theory are certainly incorrect. The theory nevertheless provides a point of reference for research. It is a beginning based on accumulated knowledge, not an end. Many questions remain regarding the theory. There are basic questions which must be answered. Is the third-stratum general factor empirically distinguishable from the second-stratum fluid reasoning factor? How does this tidy theory fit with what is known about how abilities develop and change across the lifespan? In addition, specific questions remain. Should a test of visual memory be classified as a measure of visual processing or short-term/working memory? There are also questions regarding how to interpret test scores. How should individual test scores, influenced by multiple underlying factors, be interpreted (e.g., does the factor represent a unitary construct or separate constructs that operate in a unified manner)?

The purpose of this Special Issue is threefold. First, it seeks to acknowledge the influence of the three-stratum theory in research and in measurement and where it is today. Second, it intends to encourage studies of the theory or aspects of the theory in its current form. Lastly, this Special Issue aims to offer researchers an opportunity to explain how the theory should be used going forward.

We encourage commentaries, empirical investigations, and thought pieces. Commentaries may recognize the contributions by summarizing current findings. Empirical studies may test aspects of the theory or answer questions embedded within. Thought pieces do not require empirical data but should clearly articulate specific hypotheses and how to test them with data. We encourage theorists and researchers from all disciplines to submit manuscripts.

Potential questions and themes include:

  • What is the role of general intelligence (g)?
  • Is g equal to fluid intelligence?
  • What important points from the three-stratum theory (or the book) have been largely ignored?
  • Which principles should guide future expansions and reconfigurations of the three-stratum theory?
  • What other constructs should be included?
  • Are there challenges to specific constructs?
  • Which constructs brought into the “lab” for study are now better understood?
  • Are there critiques of current aspects of the theory?
  • Are there critiques of the theory in general?
  • How can approaches other than CFA/SEM inform research and theory?
  • What does psychometric intelligence miss?

Dr. Matthew R. Reynolds
Dr. W. Joel Schneider
Guest Editors

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Published Papers (2 papers)

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22 pages, 2301 KiB  
Article
Cross-National Generalizability of WISC-V and CHC Broad Ability Constructs across France, Spain, and the US
by Christopher J. Wilson, Stephen C. Bowden, Linda K. Byrne, Louis-Charles Vannier, Ana Hernandez and Lawrence G. Weiss
J. Intell. 2023, 11(8), 159; https://doi.org/10.3390/jintelligence11080159 - 7 Aug 2023
Cited by 2 | Viewed by 2647
Abstract
The Cattell–Horn–Carroll (CHC) model is based on psychometric cognitive ability research and is the most empirically supported model of cognitive ability constructs. This study is one in a series of cross-national comparisons investigating the equivalence and generalizability of psychological constructs which align with [...] Read more.
The Cattell–Horn–Carroll (CHC) model is based on psychometric cognitive ability research and is the most empirically supported model of cognitive ability constructs. This study is one in a series of cross-national comparisons investigating the equivalence and generalizability of psychological constructs which align with the CHC model. Previous research exploring the cross-cultural generalizability of cognitive ability measures concluded that the factor analytic models of cognitive abilities generalize across cultures and are compatible with well-established CHC constructs. The equivalence of the psychological constructs, as measured by the Wechsler Intelligence Scale for Children-Fifth Edition (WISC-V), has been established across English-speaking samples. However, few studies have explored the equivalence of psychological constructs across non-English speaking, nationally representative samples. This study explored the equivalence of the WISC-V five-factor model across standardization samples from France, Spain, and the US. The five-factor scoring model demonstrated excellent fit across the three samples independently. Factorial invariance was investigated and the results demonstrated strict factorial invariance across France, Spain, and the US. The results provide further support for the generalizability of CHC constructs across Western cultural populations that speak different languages and support the continued use and development of the CHC model as a common nomenclature and blueprint for cognitive ability researchers and test developers. Suggestions for future research on the CHC model of intelligence are discussed. Full article
(This article belongs to the Special Issue Three-Stratum Theory at 30: Theory, Measurement, and Application)
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30 pages, 1603 KiB  
Article
Carroll’s Three-Stratum (3S) Cognitive Ability Theory at 30 Years: Impact, 3S-CHC Theory Clarification, Structural Replication, and Cognitive–Achievement Psychometric Network Analysis Extension
by Kevin S. McGrew
J. Intell. 2023, 11(2), 32; https://doi.org/10.3390/jintelligence11020032 - 6 Feb 2023
Cited by 10 | Viewed by 7097
Abstract
Carroll’s treatise on the structure of human cognitive abilities is a milestone in psychometric intelligence research. Thirty years later, Carroll’s work continues to influence research on intelligence theories and the development and interpretation of intelligence tests. A historical review of the relations between [...] Read more.
Carroll’s treatise on the structure of human cognitive abilities is a milestone in psychometric intelligence research. Thirty years later, Carroll’s work continues to influence research on intelligence theories and the development and interpretation of intelligence tests. A historical review of the relations between the 3S and CHC theories necessitates the recommendation that the theories of Cattell, Horn, and Carroll be reframed as a family of obliquely correlated CHC theories—not a single CHC theory. Next, a previously unpublished Carroll exploratory factor analysis of 46 cognitive and achievement tests is presented. A complimentary bifactor analysis is presented that reinforces Carroll’s conclusion that his 3S model more accurately represents the structure of human intelligence than two prominent alternative models. Finally, a Carroll-recommended higher-stratum psychometric network analysis (PNA) of CHC cognitive, reading, and math variables is presented. The PNA results demonstrate how PNA can complement factor analysis and serve as a framework for identifying and empirically evaluating cognitive–achievement causal relations and mechanisms (e.g., developmental cascade and investment theories), with an eye toward improved cognitive–achievement intervention research. It is believed that Carroll, given his long-standing interest in school learning, would welcome the integration of theory-driven factor and PNA research. Full article
(This article belongs to the Special Issue Three-Stratum Theory at 30: Theory, Measurement, and Application)
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