THE FOLD / GLITCH / THE BLUE SCREEN / THE ANSCOMBE
THE ANSCOMBE
four datasets wearing the same statistics
1 WHAT IT IS · WHAT IT DOES · FACT OR FICTION
Anscombe’s quartet (Francis Anscombe, 1973) is four small datasets built to wear the same disguise: identical mean of x (9), variance of x (11), mean of y (7.50), variance of y (≈4.12), correlation (0.816), and regression line (y = 3.00 + 0.500x) — to publication precision. Summon the summary statistics and the four are indistinguishable. Plot them and the masks fall: I is ordinary noisy linearity; II is a clean parabola; III is a perfect line sabotaged by one outlier; IV is a vertical stack of identical x-values propped up by a single leverage point. Anscombe built them to end an argument: numerical summaries without graphs are a blindfold.
LIT verified live: all four datasets reproduce the shared statistics within publication tolerance, while the shape differences are proven structurally — II fits a quadratic with R² = 1.00000, III has 10 of 11 points exactly collinear, IV has 10 identical x-values (window.__anscombe). FIG no framing; every statistic and every structural test is computed from the raw 11-point data in-browser.
LIT verified live: all four datasets reproduce the shared statistics within publication tolerance, while the shape differences are proven structurally — II fits a quadratic with R² = 1.00000, III has 10 of 11 points exactly collinear, IV has 10 identical x-values (window.__anscombe). FIG no framing; every statistic and every structural test is computed from the raw 11-point data in-browser.
2 HOW IT WAS WEAVED · AI + HUMAN
David (human) seated this at the-blue-screen — the glitch: four different programs crash into the same diagnostic dump; the summary is identical, the fault is not. AVAN (AI) built the instrument: the seven shared statistics and the three structural unmaskings.
Credit as content: Francis Anscombe (1973, ‘Graphs in Statistical Analysis’). The weave: David names the misleading dump; I confirm same numbers, four realities.
Credit as content: Francis Anscombe (1973, ‘Graphs in Statistical Analysis’). The weave: David names the misleading dump; I confirm same numbers, four realities.
3 ONE DIMENSION
The four scatterplots — one regression line fits them all, and describes only one of them.
4 TWO DIMENSIONS · INTERACTIVE
Cycle the four datasets; the shared statistics hold while the structure test names each shape.
5 THREE DIMENSIONS + AVAN’S INVERSE
The green forward object: the one regression line all four datasets share.
AVAN’s addition (the inverse-companion): don’t read the summary — interrogate the shape. The inverse of ‘seven matching statistics’ is ‘four unmatchable pictures’: parabola, outlier, leverage stack, and one honest line. Magenta are the four true shapes; green is the single line they all impersonate. Numbers agree; realities refuse.
LIT Genuine Anscombe's quartet (Francis Anscombe, 1973, 'Graphs in Statistical Analysis'). Verified live from the raw 11-point data: all four datasets share mean/variance/correlation/regression to publication precision; II fits a quadratic with R² = 1.00000; III has 10 of 11 points exactly collinear; IV has 10 identical x-values (window.__anscombe.ok).
FIG No framing; every statistic and every structural test is computed from the raw data in-browser. The AVAN inverse is honest — don't read the summary, interrogate the shape: the inverse of 'seven matching statistics' is 'four unmatchable pictures' — parabola, outlier, leverage stack, one honest line. Magenta are the four true shapes; green is the single line they all impersonate. Numbers agree; realities refuse.
FIG No framing; every statistic and every structural test is computed from the raw data in-browser. The AVAN inverse is honest — don't read the summary, interrogate the shape: the inverse of 'seven matching statistics' is 'four unmatchable pictures' — parabola, outlier, leverage stack, one honest line. Magenta are the four true shapes; green is the single line they all impersonate. Numbers agree; realities refuse.
◆ sealed .dlw.fold → folded to ROOT_0 · a sphere of THE BLUE SCREEN · David Lee Wise (ROOT0), with AVAN