# Questions tagged [ordinal-data]

Data with categorical values that can be ordered by magnitude, but the exact distance (spacing) between categories is undefined or unknown.

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I’m using Stata 12.0, and I’ve downloaded the polychoricpca command written by Stas Kolenikov, which I wanted to use with data that includes a mix of categorical ...
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### Interpreting odds ratios less than 1 with 3-category outcome

I have a 3-category ordered outcome (food consumption: 1=no food, 2=less food, 3=more food) and a 3-category ordered predictor (food exposure: 3=no time, 2= less time, 1= more time- whereby 3=no time ...
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### can I use PCA and PAF on Kendall's and Spearman's correlation matrix?

I have a dataset of 77 items, ranked by 17 people, with many ties (actually: Q-sorted under a forced quasi-normal distribution ...
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### Running a poisson GLM with cyclical explanatory variable?

Im running a few poisson GLMs looking at count data of bats sightings in relation to lunar cycle. We specifically want to look at how species are affected leading up to and away from new moon/full ...
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### How do I simulate a random valid correlation matrix of ordinal variables given a list of marginal probabilities?

I am trying to use R to simulate random variations in a real dataset with a known number of categorical and continuous predictor variables, as well as known marginal probabilities for each ordinal/...
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### Help with using variables as ordered factors/how to read lme4 output

I am quite new to R and also to LME statistics and would greatly appreciate any help. I am trying to figure out whether I have changed the variables in my study accordingly, and how to read the ...
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### What are the representations of splines? Is there a concept of a 0 degree spline?

The splines package in R is mostly focused on, what they call, a B-spline representation which is, by default, a cubic polynomial with no knots (unless you supply them). The actual numeric coding of ...
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### Analysing when tunes are alike: testing ordinal and categorical similarity

I'd like to compare some Jazz tunes. Jazz tunes are characterized by a succession of chords. The interval between each succeeding chord (number of tones) and the order in which they appear matter. ...
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### Correlation between numeric and ordinal variables

What test can I use to test correlation between an ordinal and a numeric variable? I think linear regression (taking numeric variable as outcome) or ordinal regression (taking ordinal variable as ...
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### Ordinal correlation vs. univariate isotonic regression - practical differences?

Ordinal correlation statistics such as Spearman's $\rho$ or Kendall's $\tau$ allow us to measure the association of two variables while considering only the ranks of the observations. Isotonic ...
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### Generalised Residuals - Estimated value of the density at that point for observation $j$ $i$?

I am trying to write R code for the generalised residuals as described in Vella (1993) and also mentioned by Wooldridge (2014). Wooldridge suggests to use these ...
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### Ordered logistic Regression with categorical variables

I am conducting a regression. There is an ordinal dependent variable (ordered from 1 to three) and some categorical independent variables (each of them includes several items). I adopted the ...
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### Categorical PCA: Merge categories based on Transformation Plots?

A tutorial on categorical pca (CATPCA) (Linting et al. 2012) explains that a decision to merge categories of an ordinal variable can be made based on the category quantification ("none of the ...
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### Factor analysis with severly skewed ordinal data and censored ordinal data

I am aiming to run initial exploratory factor analysis in one sample and then confirmatory in another sample. My indicators are ordinal and so I planned to generate a polychoric correlation matrix and ...
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### Testing if treating a categorical variable as continuous is okay

Pardon me if this is a simple question, but I haven't found a great resource for this just yet. Yes, I know that when possible, we should try to treat ordinal variables as categorical rather than ...
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### I have 12 items to get into a single rank order. Can I get this from having a few hundred people see a set of 10 of the possible pairs of items?

I attempted to run a study where people had to rank order 12 statements from best to worst. However, it was extremely messy and difficult for people to rank that many items. Now, my professor and I ...
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### Deducing from Ordinal to Binary Data

Assume I have two rank vectors $r^A, r^B$ of size $p$ - that is, each of them is some permutation of $1,...,p$. For the sake of simplicity, assume that $p$ is odd. Now, I take these vectors and recode ...
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### How to handle ordinal predictors/independent variables in LASSO?

Hello: I would like to select independent variables from a list of 150 using LASSO. Most of the independent variables are in Likert Scale (1-strongly disagree,..., 5-strongly agree). It is better to ...
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### Mixed effects ordinal regression: CLMM (ordinal) with non-proportional odds?

I have Likert scale responses (DV) from a survey rating 10 voices on 10 personality traits. I need to run a regression model in R to look at the effect of accent and some other participant demographic ...
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### Is there a fundamental mathematical reason that ordered factors are represented as orthogonal polynomials in linear regression?

At least for R, Chambers/Hastie write in their book "Statistical Models in S" in chapter 2.3.2 "Coding Factors by Contrasts": Ordered factors are coded so that individual ...
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### Linear regression with education as an ordinal variable

I wanted to know can I take education as an ordinal variable in my analysis. For example Olevels as 1, A levels as 2, Bachelors as 3, Masters as 4, PHD as 5 and then run a simple linear regression? Is ...
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### Interpreting the threshold shift/nominal effects variables output from a cumulative link model (CLM) from ordinal package

Is it appropriate to report the statistical significance of the threshold coefficients for variables in a clm model that were calculated with nominal effects? Using the example from the ordinal ...
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### Working with tiered data

I have data on a sample of individuals infected with a disease, which has several serovars (distinct variations of the bacteria - e.g., Bratislava, Hardio, Grippo). An infected individual can test ...
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### Analysis of contingency table with ordinal outcome?

What statistical test do I apply in following 2 situations: ...
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### How to model qualitative body condition scores? Ordinal logistic regression?

I am after some advice on how to model qualitative animal body condition scores? My overarching research question relates to comparing the body condition of animals across seasons, locations, age ...
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### Why do regression parameters change when adding more explanatory variables in ordinal logistic regression?

I have been using ordinal logistic regression with the ordinal package in R and the clm() function to complete an analysis of ordinal survey research data. In ...
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### Regression: Should ordinal variables start at 1 or 0?

I have a multiple regression that contains multiple variables, many of them ordinal with 3 or 4 possible choices. (e.g: Are you currently experiencing stress? 1: No, not at all. 2: Somewhat. 3: Yes, ...
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### Distance or divergence for ordinal distribution

Measures like KL divergence can be symmetrized (into JS divergence). Bhattacharyya distance serves a similar function. Either is well-suited to both continuous distributions and discrete (e.g. ...
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### Modelling Races

The question that I wish to ask is what is an appropriate likelihood model to use for races. For example, suppose that we have 4 competitors in a 100m race. We observe the competitors weight and age ...
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### Profiling survey respondents with both categorical and ordinal variables

I have a mixture of categorical and ordinal variables from a survey that I am trying to use to create "profiles" or segments that differ from one another with respect to a dependent variable (the ...
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