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Blog Deep-Read · 08 · bactra.org

Cosma Shalizi · Three-Toed Sloth
The structure you found in the data is probably the shape of your ruler

2003 to now · roughly 1,250 posts · still running (latest post 31 July 2026) · a sharp break between 2013 and 2014, when the yearly count fell from near a hundred to the low teens and the monthly book-notes column took over · this page is based on a full reading of 16 posts, from December 2004 to July 2026

The first line of every piece Cosma Shalizi writes is a line telling you not to read it. He gave the device a formal name — the Attention Conservation Notice — and he has not skipped one in twenty-odd years.

His much-cited essay on intelligence testing opens like this:

About 11,000 words on the triviality of finding that positively correlated variables are all correlated with a linear combination of each other, and why this becomes no more profound when the variables are scores on intelligence tests. […] Includes multiple simulations, exasperation, and lots of unwarranted intellectual arrogance on my part. "g, a Statistical Myth", October 2007

His essay on Soviet economic planning warns that the topic "is about as relevant to the world around us as debating whether a devotee of the Olympian gods should approve of transgenic organisms. (Or: centaurs, yes or no?)" A piece on why the web centralises: "Arcane, speculative, and not actionable even if correct. You would be better off spending your time reading a book." This July's book column: "I have no taste, and only the memory of qualification to opine on thermodynamics."

Reading this as modesty misses it. It is the operation he has performed on other people's data for twenty years, turned around and performed on himself. His life's work compresses to one question: how much of your conclusion is a property of the world, and how much is an arithmetical necessity of the method you used? A man who asks that for a living will naturally put a label on his own product listing its known distortions.

What he is actually fighting

Shalizi is a professor of statistics at Carnegie Mellon and external faculty at the Santa Fe Institute. He came out of physics — nonlinear dynamics and statistical mechanics — and that matters, because the early 2000s were exactly when his tribe was pouring into network science, economics and sociology under the slogan that everything is just another many-body problem. He was one of them. Then he learned statistics properly and turned on his own kin.

The root question he keeps coming back to: when is a "structure" that emerges from a pile of numbers a bone of the world, and when is it merely the shape of your ruler?

And his answers all have the same shape: build a fake world where you already know the answer, throw the standard method at it, and see what it reports.

2,766 abilities and a g that isn't there

The finest instance concerns g, the supposed general factor of intelligence. The evidence chain is short: give people a battery of mental tests; the scores correlate positively; run factor analysis and a dominant factor pops out accounting for a large share of the variance; name it g; treat it as a real part of the mind.

Shalizi did two things.

First, he had his computer generate correlation matrices at random — pure noise, no causal structure behind them whatsoever — manufactured scores for a thousand "subjects", and ran a standard factor analysis. The leading factor described 55.9% of the variance. Repeated a thousand times, the average was 47%. He then noted the comparison: on real intelligence tests, g typically accounts for somewhere between a quarter and two-thirds of the variance, "generally in the lower part of that range, say around a third." The noise outperformed the real thing.

The second was worse. In 1914, Godfrey Thomson proposed a model in which the mind has a huge number of small, entirely independent abilities, and each test draws on some random subset of them. Shalizi built it: 11 tests (matching the Wechsler Adult Intelligence Scale), 2,766 abilities in total, every one of them completely uncorrelated with every other, and none of them dominant in any test. Factor analysis reported a g accounting for 47.8% of the variance, with loadings good enough to publish. The standard test of whether a single factor suffices gave chi-squared 38.41 on 44 degrees of freedom, p = 0.709 — a clean pass.

He then showed the fake g can be made heritable too: height has a heritability around 0.8, blood triglycerides about 0.5, so "height plus triglycerides" is heritable — and remains perfectly meaningless.

There is a purely algebraic reason for all this, the Perron–Frobenius theorem: any matrix with all-positive entries has a unique largest eigenvalue whose eigenvector is all-positive. And intelligence tests are selected in the first place for correlating with one another.

So making up tests so that they're positively correlated and discovering they have a dominant factor is just like putting together a list of big square numbers and discovering that none of them is prime — it's necessary side-effect of the construction, nothing more. "g, a Statistical Myth", footnote 8

Note what he does not say. He does not say g is unreal. He says the watch has stopped:

If, after looking at your watch, you say that it's 12 o'clock, and I point out that your watch has stopped at 12, I am not saying that it's not 12 o'clock, just that your watch doesn't actually give you any evidence about the time. "g, a Statistical Myth"

The same knife, four times

Power laws. In 2005 Barabási reported in Nature that the reply intervals in Darwin's and Einstein's correspondence follow a power law. Shalizi pointed out that the same data are fit textbook-perfectly by a log-normal, and delivered judgment through Francis Galton: "Thou shalt have no other distribution before me, for I am a jealous limit theorem." Two years later he stopped sniping and wrote the paper — with Aaron Clauset and M. E. J. Newman — refitting two dozen real data sets that had all been claimed as power laws. The log-normal was almost always competitive and often better. He estimated that adopting the standard would make "half or more each issue of Physica A" disappear.

Social contagion. Joey jumped off a bridge yesterday and Irene is more likely to jump today — is that contagion, or were they always the same kind of person? Shalizi and Andrew C. Thomas proved these are generically indistinguishable in observational data. Not a shortage of data: the rival causal structures produce identical observable outcomes.

Optimal central planning. In 2012, after reading the novel Red Plenty, he did the arithmetic. The fastest known linear-programming algorithms need a number of steps growing like n3.5 — multiply the problem size by a thousand and you multiply the time by thirty billion. The economist Alec Nove counted 12 million identifiably different products in the USSR of 1983; and goods must also be indexed by location, or the plan cannot account for transport. A machine solving 12 million variables in one second would need about a thousand years for 12 billion. He replaced a century-old argument about whether optimal planning is morally desirable with a sum.

Then came the conclusion that satisfies nobody: this should trouble capitalism's defenders most, because it means their system faces no competition, nor even a plausible threat of one — and by their own theory the masters of such a system will take more and more of the output as monopoly rents. "This does not end happily."

The sharpest criticism of him, written by him

In the g essay, right after the 2,766-ability simulation, he volunteers this: the biggest problem with the Thomson model is that the appearance of g is too strong — it sails through the single-factor test, whereas real intelligence tests like the Wechsler all fail it.

Which is to say: the counter-example he used to dismantle g fits the data too well, and is therefore less believable as a picture of the world. He wrote that into the middle of his own argument.

That is probably the most characteristic thing about him. A man can spend twenty years taking apart other people's methods and still mark the crack in his own best blow. And the two are the same act — the same act as that line at the top of every post, telling you not to read it.