#statstab #491 Correlation between two items with different scales

Thoughts: Even simple problems can have complex solutions.

#kendall #spearman #somersD #polychoric #ordinal

https://stats.stackexchange.com/questions/389267/correlation-between-two-items-with-different-scales/642220#642220

Correlation between two items with different scales

I want to examine a correlation between empathy of bystander and acting to help the victim. I have a question How do you feel and think when you witness violence: 1) he deserves it, 2) I don't feel

Cross Validated

#statstab #461 Interpreting Ordinal and Disordinal interactions

Thoughts: Interactions are not simple things. Their shape can determine many things (including sample size and effect size)

#design #ANOVA #interaction #effectsize #ordinal #crossover

https://www.jolley-mitchell.com/Appendix/WebAppOrdinalInteraction/WebAppOrdinalInteractions.htm

RDE Ordinal Interactions

#statstab #444 {popower}: Power and Sample Size for Ordinal Response

Thoughts: Not the most intuitive but useful if you know the DGP will use ordinal data.

#ordinal #poweranalysis #power #effectsize #rstats #stats

https://rdrr.io/cran/Hmisc/man/popower.html

popower: Power and Sample Size for Ordinal Response in Hmisc: Harrell Miscellaneous

#statstab #420 {misty} item.alpha: Coefficient Alpha, Hierarchical Alpha, and Ordinal Alpha

Thoughts: If #419 and #418 made you consider reporting ordinal alpha, here is a package to do it

#ordinal #likert #reliability #psychometrics #mesurement #rstats

https://www.rdocumentation.org/packages/misty/versions/0.7.4/topics/item.alpha

item.alpha function - RDocumentation

<p>This function computes point estimate and confidence interval for the coefficient alpha (aka Cronbach's alpha), hierarchical alpha, and ordinal alpha (aka categorical alpha) along with standardized factor loadings and alpha if item deleted. By default, the function computes coefficient alpha based on unweighted least squares (ULS) parameter estimates using pairwise deletion in the presence of missing data that provides equivalent results compared to the formula-based coefficient alpha computed by using e.g. the <code>alpha</code> function in the <span class="pkg">psych</span> package by William Revelle (2025).</p>

#statstab #419 A Measurement Is a Choice and Stevensโ€™ Scales of Measurement Do Not Help Make It: A Response to Chalmers

Thoughts: #418 convincing for not adopting ordinal ฮฑ? This rebuttal may change your mind

#ordinal #likert #mesurement #psychometrics #cronbachalpha #reliability #testtheory #CTT #scales #debate #rebuttal

https://doi.org/10.1177/0013164419844305

A Measurement Is a Choice and Stevensโ€™ Scales of Measurement Do Not Help Make It: A Response to Chalmers - Bruno D. Zumbo, Edward Kroc, 2019

Chalmers recently published a critique of the use of ordinal ฮฑ proposed in Zumbo et al. as a measure of test reliability in certain research settings. In this r...

Sage Journals

#statstab #418 On Misconceptions and the Limited Usefulness of Ordinal Alpha

Thoughts: Ordinal ฮฑ seemed cool. Then I read this paper. Takeaway: methods need good peer review and debate.

#ordinal #likert #cronbachalpha #reliability #methods

https://doi.org/10.1177/0013164417727036

On Misconceptions and the Limited Usefulness of Ordinal Alpha - R. Philip Chalmers, 2018

This article discusses the theoretical and practical contributions of Zumbo, Gadermann, and Zeisserโ€™s family of ordinal reliability statistics. Implications, in...

Sage Journals

#statstab #410 Ordered Regression Models: a Tutorial

Thoughts: A very comprehensive paper on analysing ordinal data.

#orderedregression #regression #ordinal #tutorial #likert #probit #logit

https://link.springer.com/article/10.1007/s11121-021-01302-y

Ordered Regression Models: a Tutorial - Prevention Science

Ordinal outcomes are common in the social, behavioral, and health sciences, but there is no commonly accepted approach to analyzing them. Researchers make a number of different seemingly arbitrary recoding decisions implying different levels of measurement and theoretical assumptions. As a result, a wide array of models are used to analyze ordinal outcomes, including the linear regression model, binary response model, ordered models, and count models. In this tutorial, we present a diverse set of ordered models (most of which are under-utilized in applied research) and argue that researchers should approach the analysis of ordinal outcomes in a more systematic fashion by taking into consideration both theoretical and empirical concerns, and prioritizing ordered models given the flexibility they provide. Additionally, we consider the challenges that ordinal independent variables pose for analysts that often go unnoticed in the literature and offer simple ways to decide how to include ordinal independent variables in ordered regression models in ways that are easier to justify on conceptual and empirical grounds. We illustrate several ordered regression models with an empirical example, general self-rated health, and conclude with recommendations for building a sounder approach to ordinal data analysis.

SpringerLink

#statstab #404 {latent2likert} simulate Likert response variables from hypothetical latent variables

Thoughts: Most of psych is Likert type data. This R pkg can help simulate effects and check model fit.

#likert #ordinal #r #latent #simulation #data

https://latent2likert.lalovic.io/articles/using_latent2likert

Using latent2likert

latent2likert

'Uplift Model Evaluation with Ordinal Dominance Graphs', by Brecht Verbeken, Marie-Anne Guerry, Wouter Verbeke, Sam Verboven.

http://jmlr.org/papers/v26/22-1455.html

#ranking #ordinal #uplift

#statstab #282 Plotting ordinal logistic predicted effects on latent scale of ordinal outcome {ggeffects}

Thoughts: An interesting discussion on plotting ordinal data on the latent scale or probability scale.

#dataviz #ggeffects #ordinal #latent #likert

https://github.com/strengejacke/ggeffects/issues/507

Plotting ordinal logistic predicted effects on latent scale of ordinal outcome? ยท Issue #507 ยท strengejacke/ggeffects

When estimating an ordinal logistic the output conventionally appears as something like: However, a more interpretable output could be to have the ordinal logistic predictions generated on the late...

GitHub