Questions tagged [polychoric]

The polychoric correlation coefficient is used for two ordered categorical variables. The tetrachoric correlation coefficient is the special case when both variables are binary.

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Polychoric Correlations to Fisher's Z Transformation

I'm interested in conducting a meta-analysis of polychoric correlation coefficients using metafor package in R. When performing a meta-analysis with Pearson ...
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How to interpret polychoric correlation matrix with reverse scored items?

I'm currently working with a dataset with a sample size of 174 from a questionnaire that measures 6 types of personality traits with 5 response options per item (Strongly Agree, Agree, Neutral, ...
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Factors or components in Stata and R (psych, lavaan): Confusing method labels and diverging results

I have some trouble translating between Stata and R (psych, lavaan) about factors and components with an interest in the loadings/eigenvectors of the items. I seek to validate results (understand the ...
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How to calculate P value in polychoric correlation

I see that I can get polychoric correlation coefficients using package girth. I have following data: ...
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Factor analysis (or similar) for data set with both continuous and dichotomous variables (+control for age?)

As you can tell from the title I'm in a bit of a fix. I have a data set with three continuous variables and one dichotomous one. Data collected from four groups. The data set is a developmental ...
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What is the relationship between the manifest correlation between ranked variables and the latent, continuous correlation?

Suppose you draw n pairs of observations from a real-valued bivariate distribution. You then convert each observation to its ascending rank order. Given the population correlation for the real-valued ...
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Mutual Information for unordered variables

Like many others I am seeking for a method to create a "correlation" like matrix for an unpredictable mix of variables which can contain unordered categorical ones as well. While there are ...
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How to interpret a polychoric correlation?

I've checked related links to understand what a Polychoric Correlation measures, got some 404's and other unanswered questions. I've seen it used to determine independence between Nominal/Interval ( &...
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Within ML CFA with categorical data (polychoric correlation), are there not different thresholds for both the within and between level?

I am currently studying multilevel confirmatory factor models of categorical data. In the context of CFAs, categorical data is often analysed through polychoric correlations. Within polychoric ...
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Deriving joint probabilities from marginal probabilities & polychoric correlations

Given three ordered-categorical variables: $u_1, u_2, u_3$ with $K$ categories, I'm trying to derive their expected variance-covariance matrix using their marginal probabilities, thresholds, and ...
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Huge difference in KMO statistic based on type of correlation (Pearson vs Polychoric)

I am analyzing an engagement survey filled out by teenagers in a school following a randomized trial in which they were assigned to either of two experimental conditions (lessons). The questionnaire ...
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polychoric factor analysis and use of factor score in subsequent models

To predict the impact of gender egalitarianism on life satisfaction (7-scale ordinal variable), I wanted to create a factor score from a relevant group of variables (mothers should work: agree to ...
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Testing the fit of polychoric correlation

I’m using polychoric correlations for my work. According to Kampen and Weeren (2017): In order to prevent this questionable research practice, it is recommended that in applications of the ...
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Polychoric Corelation -- When to use?

I'm analyzing a survey that contains self ranking? Would I use polychoric correlation to compare these scores to nominal variables such as gender?
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Polychoric or Pearson correlations - pre-EFA analysis in R

I plan to run a series of exploratory factor analysis (EFA) models to investigate the factor structure of a scale in development using the R package psych. My N > ...
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Correlation between Ordered Variable and Categorical Variable

I am analyzing Opportunities for Sales people. I have a categorical variable which is Status:{Won,Lost} My dependent variable, and other Independent ordered variables like the stages of the ...
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How to use polychoric correlation using R

I have a data set containing 731 observation and 14 variables. The variables are of mixed type containing both ordinal, nominal and quantitative variable. How can I perform PCA using polychoric ...
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Computing factor scores for factors when the PAF is based on tetrachoric correlations

I want to create factors from various binary items. Using the polycor package (Fox, 2006) and R-Essentials I created a tetrachoric correlation matrix in SPSS. The items are all exploratory, so I ...
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appropriateness of factor analysis using correlation matrix of mixed variable types

I am aware that questions about factor analysis with mixed variable types have already been addressed. My situation is unique: I have datasets from two samples that were administered the exact same ...
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Do I use eigen values from common factor solution OR from the original matrix? EFA in R, polychoric

I'm currently running an EFA in r, using the cor = "poly" setting with principal axis factoring, and am trying to determine the eigenvalues of the analysis. I am getting two different sets of values:...
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Mixed dichotomous correlation matrix

I have a data frame comprising more than two dozen variables, all of which are binary (0/1) with <5% missing data. These variables can be classified into groups that pertain to different aspects of ...
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Estimating the correlation matrix of a jointly normal distribution when some variables are latent

Suppose that $X_1,..,X_6$ are jointly normally distributed. $f(\mathbf{x})= \frac{1}{\sqrt { (2\pi)^k|\boldsymbol \Sigma| } } \exp\left(-{1 \over 2} (\mathbf{x}-\boldsymbol\mu)^{\rm T} \boldsymbol\...
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How to compute component or factor scores when the analysis is based on polychoric/tetrachoric correlations?

[This question is modified based on suggestion from @ttnphns] I am doing linear principal component analysis (PCA) based on polychoric correlations between the variables (rather than on native Pearson ...
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Correlation coefficients for ordered data: Kendall's Tau vs Polychoric vs Spearman's rho

It seems like for managing with ordered measurements researchers usually deal with Polychoric Correlation. (For example, for making matrix before doing Factor Analysis.) Why so? Kendall Tau Rank ...
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