# Questions tagged [factor-analysis]

Factor analysis is a dimensionality reduction latent variable technique which replaces inter-correlating variables by a smaller number of continuous latent variables called factors. The factors are believed to be responsible for the inter-correlations. [For confirmatory factor analysis, please use tag 'confirmatory-factor'. Also, term "factor" of factor analysis should not be confused with "factor" as categorical predictor of a regression/ANOVA.]

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### Dependent Variable in Factor Analysis. How to measure attitude toward application usage?

I am performing an analysis to evaluate the attitude of our marketers toward Apps. I have done the explanatory factor analysis (principal component)and I have received 4 factors (one of my factors is ...
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### why are these two ways of computing EFA in R not identical?

I am confused trying to understand the difference between two ways of executing an EFA in R that I previously assumed to be completely equivalent. First, I make some data up: ...
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### Comparison indices

I am comparing different models in Confirmatory Factor Analysis (CFA) to decide what my optimal number of factors and factor structure should be. The main indices I have been using are chi square , ...
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### Is "cluster" rotation of psych R package Harris-Kaiser independent cluster rotation?

In the documentation (https://cran.r-project.org/web/packages/psych/psych.pdf) it says: "none", "varimax", "quartimax", "bentlerT", "equamax", "...
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### Within item response theory, what is the $\theta$-grid?

Within item response theory, the latent trait (e.g., ability) is often depicted as $\theta$. Within item response theory, I have also come across the term $\theta$-grid. For example, the description ...
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### Why is the correlation between two coordinate axes measured by cosine?

In factor analysis, I believe, the correlation between two factors is measured by the cosine of degree between the factors. For instance, the correlation between two factors below is cosine θ, the ...
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### All eigenvalues less than 1 in factor analysis

Is it possible to have all eigenvalues less than 1 during factor analysis? then what can be concluded here? since a factor is considered a factor when the eigenvalue of the factor is greater than 1. ...
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### How to interpret and deal with bad survey items found in EFA

I am new to data analysis so pardon my low knowledge. I conducted an experiment/questionnaire with 40 questions containing 10 constructs/dimensions. I then did exploratory factor analysis with help ...
1 vote
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### How to get the coefficients of determination (R Squared) from factor loadings in FAVAR?

I estimated a FAVAR (Factor Augmented VAR) model for forecasting purposes. The FAVAR gave a very low RMSE value compared to VAR. However, I am unable to interpret the factors through factor loadings. ...
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### The scale I am developing for a main study has partial metric and partial scale invariance. Can I still use this in my study?

I'm developing a scale that will be later used in a main study. This study will take place in the UK and France. The scale itself consists of 9 items. I initially tested the scale in UK participants ...