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### Methods to compute factor scores, and what is the "score coefficient" matrix in PCA or factor analysis?

As per my understanding, in PCA based on correlations we get factor (= principal component in this instance) loadings which are nothing but the correlations between variables and factors. Now when I ...
60k views

### Which matrix should be interpreted in factor analysis: pattern matrix or structure matrix?

When doing a factor analysis (by principal axis factoring, for example) or a principal component analysis as factor analysis, and having performed an oblique rotation of the loadings, - which matrix ...
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4k views

### Does the first principal component differ from simply computing the mean of all variables?

I was just wondering if the first principal component, while I am trying to find it for a dataset of 18 variables, is different from simply adding all variables and finding the mean? I.e. to compute ...
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6k views

### Based on factor loadings (in factor analysis) can we give unequal weights to Likert scale items?

After gathering data, we compute score of any Likert (summative) scale (previously identified as factor in factor analysis) by adding up its individual item scores (and maybe dividing the sum by the ...
6k views

### Why are regression coefficients in a factor analysis model called "loadings"?

In this thread @ttnphns writes that Because it is regression coefficients [...] I insist that it is better to say "factor loads variable" than "variable loads factor". I learned from here that a ...
5k views

### Factor scores vs. construct mean scores in regression analysis

I have 48 items in my questionnaire that represent 8 constructs. After conducting an exploratory factor analysis (EFA) with a principal components extraction method and Varimax rotation method, 8 ...
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2k views

### When is appropriate to run a factor analysis at items level vs. scale level in a questionnaire?

I am doing a research validating a new questionnaire, which has 156 items divided up in 12 scales. I have run a factor analysis at scale level, which gives me two nice constructs (consistent with ...
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2k views

### Where is the indeterminacy of factor values on this plot explaining factor analysis?

It is a well-known fact that in principal component analysis (PCA) we can obtain true values of components but in factor analysis (FA) we cannot obtain true values of common factors. We can compute ...
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2k views

### Exploratory factor analysis: Should one use factor scores or the mean of items?

When we are trying to measure a latent construct (let's call it $C$), we often give people a number of items $X$ to fill out (let's call them $x_1, ..., x_q$ where $q$ is the number of items) that we ...
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815 views

### Does the use of EFA factor scores (vs. sum/average scores) impact statistical power of subsequent analyses?

Imagine a hypothetical scenario: You have data a short survey of 9 questions that participants respond to on a continuous rating scale. You suspect that Questions 1-3 assess one particular factor (...
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