Graphic 1. From Correlation Matrices to Factor Models
Mayer, J. D. and Bryan (2021, April 30). From correlation matrices to factor models. Personality Laboratory at the University of New Hampshire. https://mypages.unh.edu/jdmayer/graphics.
Notes: T1 through T4 of this (fictitious) example represent mental tasks administered to 1000 participants on four mental ability tasks. The correlations among them are shown in the left-most tables of the columns. In the middle column, the roman numerals designate the first and second factors extracted for the one- and two-factor cases illustrated in the two rows. The numbers beneath them represent the estimated correlations between the four individual tasks and the factor(s); those correlations are referred to as factor loadings. The final column represents a diagrammatic depiction of the results, although a full depiction would include the factor loadings next to each connecting line. More details: The three correlation matrices were factor analyzed using R. The exploratory solutions (top rows) were conducted with the PSYCH package using a principal axis extraction followed by a varimax rotation, for the two-factor case. The extraction was checked in SPSS. The bottom, hierarchical CFA was conducted in Lavaan using a Maximum Likelihood extraction. Fit statistics were 1.0 for both the CFI and TLI and 0 for the RMSEA.
Graphic 2. Loadings of Broad Intelligences on g
The following is an ancillary analysis of the open-source data from Bryan & Mayer, 2020 that illustrates how each of ten broad intelligences loads on a general intelligence factor (g).
Citation in APA Style:
Bryan, V. M., & Mayer, J. D. (2021, April 30). Ten broad Intelligences and their relations to general intelligence: An ancillary analysis of the open-source data from Bryan and Mayer, 2020. Personality Laboratory at the University of New Hampshire. https://mypages.unh.edu/jdmayer/graphics.
Graphic 3. The Four Areas of Personality Function from the Personality Systems Set
Here is an overview of the functional areas of the personality systems framework, as typically envisioned in our work.
Citation in APA Style: Mayer, 2020, "The Four Function Areas of the Personality Systems Set". Online lab graphic from https://mypages.unh.edu/jdmayer/graphics
Graphic 4. People-Centered Versus Thing-Centered Intelligences in the Three-Stratum Model of Intelligence
The following graphic elaborates on the model described in Mayer, J. D. (2018). Intelligences about things and intelligences about people. In R. J. Sternberg (Ed.). The nature of human intelligence (pp. 270-286). Cambridge, England: Cambridge University Press, especially on pp. 272 to 274, and 280.