# Questions tagged [factor-rotation]

Linear transformation of factors in a factor analysis (or PCA) solution, usually done to improve interpretability. Factor rotation methods include varimax, promax, oblimin, etc.

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### How to conduct item selection via exploratory factor analysis?

I want to reduce my item pool via exploratory factor analysis. I couldn't find any advices on the right order in doing so. What I am asking is: Which is the right order in selecting the items? Shall ...
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### PCA with principal(): no rotation, varimax rotation, and oblimin rotation all give same results

I ran PCA with the principal() function of the psych package on some data with 2 variables and 15 observations . I ran PCA thrice, first with no rotation, then with the varimax rotation, and lastly ...
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### PCA Questions on the principal() function of psych package

I recently learned PCA and have the following questions on the use of principal() function of psych package: From 20 variables I decided to keep 4 components / factors. I used principal() function ...
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### Varimax-Rotation in Factor Analysis in R

So I know that the orhogonal Factor Model is constructed as such: $X-\mu=LF+\epsilon$, where $\text{Cov(X)=}\Sigma=\text{LL'}+\Psi$. Then the loadings $L$ can be constructed from the square root of ...
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### Poor models from PCA and CFA

For my undergraduate dissertation I'm analysing a 75-item self-report questionnaire filled out by 1140 autistic participants (randomly split into two groups. I have split the sample and am carrying ...
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### Visualisation of Varimax Rotated Principle Component Analysis

I've carried out a PCA on a selection of brand perception data to create a brand perception map (a plot of each brand in 2D principal component space, overlaid with a projection of each 'adjectives' ...
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### Independence of components in PCA

Let's have spatio-temporal dataset ($Y \in \mathbb{R}^{L \times T}$). Where $L$ stands for spatial grid points and $T$ for time. Now let's say that the noise of the system follows a multivatiate ...
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### How do I solve this system of equations?

I am doing something that is commmon practice in economics to uniquely identify matrices. After deriving 3 unrotated factors from PCA, I then want to rotate them to be able to interpret them in ...
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### PCA with oblimin rotation: should I interpret component matrix, pattern matrix or structure matrix?

I conducted a principal component analysis (PCA) with direct oblimin factor rotation in SPSS. Because by that time I didn't know any better, I used the COMPONENT MATRIX for interpretation. I added ...
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### PCA and varimax on linear dependent variables

I am currently trying to use a PCA in combination with a varimax rotation on some measurements to extract underlying factors. However, some of the variables are related, in the sense that they ...