Linked Questions
43 questions linked to/from Is there Factor analysis or PCA for ordinal or binary data?
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PCA on categorical variables [duplicate]
I am working on a dataset with many categorical variables for a clustering problem. I've done one-hot encoding where a categorical column with 5 levels will become 5 columns, each has the standard ...
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Should ordinal variables be normalized for PCA? [duplicate]
I need to analyze my (ecological) data with PCA, but the data don't seem to meet the assumption of normality very well. The problem is, that out of my 9 variables only two are continuous and the ...
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Item Factor Analysis, Item Response Theory and Exploratory IRT [duplicate]
I would be grateful if someone could explain the difference between Item Factor Analysis, Item Response Theory and Exploratory IRT. Any references especially for the exploratory IRT are welcome.
Nikos
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Can principal component analysis be applied to datasets containing a mix of continuous and categorical variables?
I have a dataset that has both continuous and categorical data. I am analyzing by using PCA and am wondering if it is fine to include the categorical variables as a part of the analysis. My ...
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Does it ever make sense to treat categorical data as continuous?
In answering this question on discrete and continuous data I glibly asserted that it rarely makes sense to treat categorical data as continuous.
On the face of it that seems self-evident, but ...
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Doing principal component analysis or factor analysis on binary data
I have a dataset with a large number of Yes/No responses. Can I use principal components (PCA) or any other data reduction analyses (such as factor analysis) for this type of data? Please advise how I ...
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How to handle ordinal categorical variable as independent variable
I am using a logit model. My dependent variable is binary. However I have an independent variable which is categorical and contains the responses: ...
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3
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Item Response Theory vs Confirmatory Factor Analysis
I was wondering what the core, meaningful differences are between Item Response Theory and Confirmatory Factor Analysis.
I understand that there are differences in the calculations (focusing more on ...
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What are the assumptions of factor analysis?
I want to check if I really understood [classic, linear] factor analysis (FA), especially assumptions that are made before (and possibly after) FA.
Some of the data should be initially correlated and ...
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Non-parametric measure of strength of association between an ordinal and a continuous random variable
I'm throwing here the problem as I received it.
I have two random variables. One of which is continuous (Y) and the other one which is discrete and will be approached as ordinal (X). I put below the ...
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3
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What is Item Response Theory (IRT) called for continuous response?
I would like to model my problem using something similar to Item Response Theory, but my responses are not binary. They are continuous in $[0, 1]$.
What are these models/the research field called?
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Factor scores from discrete, ordinal responses
Is there a principled way to estimate factor scores when you have ordinal, discrete variables.
I have $n$ ordinal, discrete, variables. If I make the assumption that underlying each response is a ...
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Recommended procedure for factor analysis on dichotomous data with R
I have to run a factor analysis on a dataset made up of dichotomous variables (0=yes, 1= no) and I don´t know if I'm on the right track.
Using tetrachoric() I ...
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Factor analysis for ordinal variables that have different categories
I have a data set that contains about 40 categorical variables that are taken as independent variables (and believed to be related to some unobservable human resource factors) and 4 categorical ...
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Similarities and differences between IRT model and Logistic regression model
Despite the basic similarities like both of these model the probability of success rather than modelling the response variable directly; I believe that there are more reliable answers which point out ...