#INVariance
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dingdingpeng.the100.ci
New paper out with @boryslaw.bsky.social 🥳 In which we sketch out how to rethink measurement invariance causally for applied researchers. And provide a causal definition of measurement invariance!

www.sciencedirect.com/science/arti...
Rethinking measurement invariance causally Highlights: It is preferable to work with a causal definition of measurement invariance A violation of measurement invariance is a potentially substantively interesting observation Standard tests for measurement invariance rely on strong assumptions Group differences can be thought of as descriptive results Conceptual graph illustration the central points of the manuscript. A group variable is potentiall connected to a construct of interest which affects items. Measurement invariance is violated if the group variable directly affects the items, for example by modifying the loadings from the construct to the items, or by directly affecting an item To make this less abstract, consider a scenario where students take an exam, R, meant to capture some ability, T, and then are admitted to a program, V, depending on their exam results: R → V. This is sufficient to result in a violation of the statistical definition of measurement invariance. Exam results and admission are not independent given ability because exam results have a direct effect on admission. Even if we know somebody’s ability (e.g., we know it’s very high), learning about their admission status (e.g., they were not admitted) can tell us something about their exam result (e.g., it may have been worse than expected). According to the causal definition, this in itself does not constitute measurement bias, which seems a sensible conclusion here. After all, the scenario does not involve any reason to believe that the measurement process varied systematically by admission status. Admission happens after the exams took place, it cannot retroactively influence the measurement process (and, for example, lead to unfair treatment depending on admission status).
September 11, 2025 at 9:11 AM
dingdingpeng.the100.ci
New blog post in which I discuss measurement invariance from a causal perspective. Come for the amateurish featured image (who needs photoshop anyway), stay for fancy Pooh as figure label. Bonus: You'll finally understand the different levels of invariance (I hope).
www.the100.ci/2024/01/10/a...
A casual but causal take on measurement invariance
Testing for measurement invariance is one of those things where researchers roughly fall into two categories. Either they consider it an incomprehensible and arcane practice that only nerds could ever...
www.the100.ci
January 10, 2024 at 1:18 PM
sixfeetofcandy.bsky.social
pondering the invariance of maxwell’s equations under the interchange of electric and magnetic field…*remembers i’m on bsky* umm, i like ham and crying
March 12, 2026 at 7:43 PM
autismsupsoc.bsky.social
Neurodivergent Lexicon

Mirror Invariance

The brain's intrinsic abilty to identify an object as the "same" even when inverted an from mutiple orientation. This intrinsic capacity for mirror invariance various significantly from person to person.
autismsupsoc.bsky.social Cheshire Cat ᓚᘏᗢ, @autismsupsoc.bsky.social · May 16
Please try not to overthink this if you can read it easily.
It could mean any number of things.
Catara is handing Adora a note. "Mirror invariance" is the intrinsic ability of the brain to identify that an object is the same object regardless of its orientaion. The capacity of this ability varies significantly from person to person and is generally supressed for learning to read for most people but not all Neurotpyes. then Adora responds in mirrored text: Did you write this?
May 16, 2026 at 8:17 PM
handackett.bsky.social
The true genius of Radiohead is its scale invariance
June 7, 2026 at 10:42 PM
antisocialmicro.bsky.social
It is here.👁

INVariance is now live on Webtoon. Prologue's up for now😎

#INVarianceComic

www.webtoons.com/en/canvas/in...
August 28, 2025 at 12:21 PM
antisocialmicro.bsky.social
March 2026 Art Summary 🎨🌟
Full of mind fog and slower paces

#March2026 #art #summary
Current cover for INVariance. "DotZ" an oc from 2022. May or may not appear in INVariance. If you remember her, congrats, you are old. Magik and Venom interaction in Rivals @elliottcassel.com raffle prize
April 3, 2026 at 12:50 AM
coneg.bsky.social
late night phinn sketch, go read @antisocialmicro.bsky.social's InVariance folks. new chapter tomorrow even!
a simple portrait of phinn, a young girl with dark skin, fluffy brown hair that has green highlights, and bright green eyes, looking up with a smile. phinn is wearing a gray body suit with a white jacket on top of it. she is an original character by @antisocialmicro for his webtoon series invariance. you should read it, it's neat so far!
November 6, 2025 at 4:33 AM
antisocialmicro.bsky.social
August 2026 Art Summary 🎨🌟
Very Kewl indeed😎

#August2026 #art #summary
Sena Ouroboros INVariance 1 year anniversary Meta Knight Hatsune Miku and Shadow from the Jet Black cover art used in Sonic Racing CrossWorlds
September 2, 2026 at 12:22 AM
maksimrudnev.com
Rethinking measurement invariance causally by @dingdingpeng.the100.ci

It is preferable to work with a causal definition of measurement invariance.
A violation of measurement invariance is a potentially substantively interesting observation.
Group differences can be thought of as descriptive results
Rethinking measurement invariance causally
Measurement invariance is often touted as a necessary statistical prerequisite for group comparisons. Typically, when there is evidence against measur…
doi.org
September 19, 2025 at 4:04 PM
antisocialmicro.bsky.social
The comic in question:

www.webtoons.com/en/canvas/in...
Current cover for INVariance my webcomic about a world without Dreams.
April 14, 2026 at 7:30 PM
dmcneish.bsky.social
This article gives a phenomenal overview of the history and evolution of best practices in measurement invariance and differential item functioning -- I can't remember the last time I learned so much reading a single paper, highly recommended!
www.tandfonline.com/doi/full/10....
A Review of Some of the History of Factorial Invariance and Differential Item Functioning
The concept of factorial invariance has evolved since it originated in the 1930s as a criterion for the usefulness of the multiple factor model; it has become a form of analysis supporting the vali...
www.tandfonline.com
November 13, 2024 at 10:25 PM
bambi-candle.bsky.social
𝔸 𝕨𝕚𝕝𝕕 ℙ𝕙𝕚𝕟𝕟 𝕒𝕡𝕡𝕖𝕒𝕣𝕖𝕕!
𝕀 𝕔𝕒𝕡𝕥𝕦𝕣𝕖𝕕 @antisocialmicro.bsky.social 𝕠𝕔
(ℙ𝕝𝕖𝕒𝕤𝕖 𝕘𝕠 𝕣𝕖𝕒𝕕 𝕀ℕ𝕍𝕒𝕣𝕚𝕒𝕟𝕔𝕖!)

#DaMicroOCs #oc #art #INVarianceComic
November 6, 2025 at 9:23 PM
autismsupsoc.bsky.social
I will try to avoid infodumping bit in general people have “Mirror Invariance” which means we can tell *something* is the same *thing* regardless of orientation.

When we teach children to read we teach them to suppress Mirror Invariance regarding letters and words.
autismsupsoc.bsky.social Cheshire Cat ᓚᘏᗢ, @autismsupsoc.bsky.social · May 16
In general when children are taught to read, the act of reading is done with an actively trained suppression of Mirror Invariance as it applies to text e.g. b d p q.

it is observed that various neurotypes do not "take" to this attempt to suppress mirror invariance as it applies to text.
autismsupsoc.bsky.social Cheshire Cat ᓚᘏᗢ, @autismsupsoc.bsky.social · May 16
Neurodivergent Lexicon

Mirror Invariance

The brain's intrinsic abilty to identify an object as the "same" even when inverted an from mutiple orientation. This intrinsic capacity for mirror invariance various significantly from person to person.
July 8, 2026 at 9:41 PM
dingdingpeng.the100.ci
I feel like psychometrics is uniquely bad at naming things. Parallel, congeneric, tau-equivalent, essentially tau-equivalent measures? Configural, metric, scalar, residual invariance? Item difficulty defined so that the higher the difficulty, the easier the item???
November 7, 2025 at 5:45 PM
dingdingpeng.the100.ci
Drowning kid meme Woman (Flynn effect research) plays with kid (measurement invariance) while other kid (age-period-cohort problem) is drowning. At the bottom of the sea: selective sampling
September 23, 2025 at 11:23 AM
dudedarkmatter.bsky.social
Sleep invariance under rotational transformation.
January 16, 2026 at 8:02 PM
antisocialmicro.bsky.social
A quick phone doodle to celebrate INVariance's launch yesterday😎ft. Phinn and Chester. See you next chapter💚

#INVarianceComic #DaMicroOCs #art
Phinn and Chester phone doodle as a mini celebration for the launch of the prologue of INVariance
August 29, 2025 at 6:35 PM
antisocialmicro.bsky.social
Chapter 1 of INVariance will drop on Thursday, September 11th at 8am EST on Webtoon! See you tomorrow! Shine Bright💫

#INVarianceComic #DaMicroOCs #art
Chapter 1 of INVariance will drop on Thursday, September 11th at 8am EST on Webtoon! See you tomorrow! Text at the bottom says the same. Hope you enjoy. Promo cover is of Phinn reaching towards something
September 10, 2025 at 4:42 PM
antisocialmicro.bsky.social
If something precious was stolen from you, would you just accept it as "it is what it is"? If not, then to what lengths would you go to get it back?

The prologue to INVariance will drop on Thursday, August 28th on Webtoon!

#DaMicroOCs #INVariance #art
INVariance drops August 28th(cough my bday cough) on Webtoon. Yeah I really wanted to try making a webcomic since I've been pretty inspired recently. Finally taking my first steps into making a story about the characters I've conjured up over the last 5 years. Sort of an inspirational story set in a fantasy sci-fi world that highlights the importance of change, with some small bits of action when needed.
June 28, 2025 at 12:01 PM
spacepupsilver.com
I got suggested two more variations on permanence.
Intensify: When your changes don't stop, they get 'worse'.
Mental Invariance: When the body may change back but you will be left with a strong mental alteration that will never go away.
(Inspired originally by @proteancritter.bsky.social)
February 19, 2025 at 12:17 PM
dingdingpeng.the100.ci
Letzte Amtshandlung des Jahres, finally writing my blog post on a causal interpretation of measurement invariance.
December 22, 2023 at 9:37 AM
mcnees.bsky.social
References
[1] “The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century,” Yvette Kosmann-Schwarzbach (Springer, 2011)

[2] “Einstein, Hilbert, and the Theory of Gravitation,” Jagdish Mehra (D. Reidel Publishing Company, 1974)

(9/9)
January 22, 2026 at 4:22 PM
damcotto.bsky.social
🚨 New publication! Our registered report in Journal of Educational Psychology examines whether common executive function (EF) tasks demonstrated measurement invariance across racial/ethnic groups. Spoiler: they don’t. ⚠️
doi.org/10.1037/edu0...
APA PsycNet
doi.org
October 7, 2025 at 2:40 PM
gillianrbrown1.bsky.social
Nice article by @dingdingpeng.the100.ci and @boryslaw.bsky.social: 'violations of measurement invariance imply that there are potentially interesting differences in the measurement process between the groups, which could warrant explanations in their own right.' www.sciencedirect.com/science/arti...
Rethinking measurement invariance causally
Measurement invariance is often touted as a necessary statistical prerequisite for group comparisons. Typically, when there is evidence against measur…
www.sciencedirect.com
November 17, 2025 at 10:27 AM