Specifically, How we can calculate Common latent factor analysis results as reported in these papers. Please see the attached ScreenShot. Any sort of help will appreciated. Thanks and Regard
Dear Muhammad,
this looks like an output from a "Structural Equation Model", which allows you to explicitly define the (assumed) correlations between latent factors , and the indicator variables of the factors and their potential cross-loadings shared by design factors (e.g., method, treatment etc); check, for instance, the R package lavaan).
Hope this helps.
Best
René
i would recommend that you check out the video from James Gaskin. Search them on YouTube. His examples are easy to follow and will answer some of your questions.
In many (but not all) CFA-MTMM models, the squared standardized method factor loadings give the proportion of variance in an observed variable (measure, indicator, item, scale, etc.) that is accounted for by a common method factor.
To learn more, check out the literature on CFA-MTMM models/models with method factors, for example:
Eid, M., Lischetzke, T., & Nussbeck, F. W. (2006). Structural Equation Models for Multitrait-Multimethod Data. In M. Eid & E. Diener (Eds.), Handbook of multimethod measurement in psychology (pp. 283–299). American Psychological Association.
Eid, M., Nussbeck, F., Geiser, C., Cole, D., Gollwitzer, M. & Lischetzke, T. (2008). Structural equation modeling of multitrait-multimethod data: Different models for different types of methods. Psychological Methods, 13, 230-253.
Koch, T., Eid, M., & Lochner, K. (2018). Multitrait-multimethod analysis: The psychometric foundation of CFA-MTMM models. In P. Irwing, T. Booth, & D. Hughes (Eds.), The Wiley-Blackwell Handbook of Psychometric Testing (pp. 781-846). West Sussex, UK: John Wiley & Sons.
Marsh, H. W., & Bailey, M. (1991). Confirmatory factor analysis of multitrait-multimethod data: A comparison of alternative models. Applied Psychological Measurement, 15, 47-70.
Marsh, H. W., & Grayson, D. A. (1995). Latent variable models of multitrait-multimethod data. In R. H. Hoyle (Ed.), Structural equation modeling. Concepts, issues, and applications (pp. 177–198). Thousand Oaks, CA: Sage.
Widaman, K.-F. (1985). Hierarchically nested covariance structure models for multitrait-multimethod data. Applied Psychological Measurement, 9, 1–26. DOI: 10.1177/014662168500900101
Christian Geiser Thank you so much for sharing your knowledge and these resources. Can you please suggest any tutorial in this regard to understand it more appropriately? Thanks and Regard
René Schlegelmilch Thank you so much for giving such a useful direction. Can you Please share any video link or tutorial to understand it better, Because I'm unable to figure out any source in this regard? Thanks
George Onofrei Thank You for suggesting Professor James Gaskin. I have tried to follow him but can't still figure out any authentic and useful solution.
Muhammad Shakil Ahmad Respected Sir, Can you please help me with this matter? I have been struggling in this regard for a couple of days. Any help will be appreciated. Thank you so much for your attention and participation.
Regard
Muhammad Usman Shehzad In the paper below, we give a tutorial on a specific CFA-MTMM model for examining and quantifying method effects [the CTC(M - 1) model]:
Geiser, C., Mandelman, S. D., Tan, M., & Grigorenko, E. L. (2016). Multitrait-multimethod assessment of giftedness: An application of the correlated traits-correlated(methods – 1) model. Structural Equation Modeling, 23, 76-90. doi: 10.1080/10705511.2014.937792.
I also offer an applied online workshop on CFA-MTMM analysis on https://www.goquantfish.com/courses/mtmm-in-mplus
CMV should be both controlled and detected using ex-ante and ex-post strategies. Based on the paper " From the editors: Common method variance in international business research ", I employed these strategies in my paper " Idiosyncratic job-design practices for cultivating personal knowledge management among knowledge workers in organizations ". You may take help from these sources. Finally, I have also employed these strategies for my PhD work yet to be submitted to Organization Science. So, I cannot share that work yet now! All the best for your research!!
Muhammad Usman Shehzad In addition, I also refer you to article entitled "From the editors: Common method variance in international business research" to consider ex-ante approaches to controlling common method bias. We employed those in our recent paper titled "Idiosyncratic job-design practices for cultivating personal knowledge management among knowledge workers in organizations". Good luck!
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