Anytime Bias Watch

Evidence you are allowed to keep watching.

Ordinary p-values break when we peek after every draw and stop on an exciting day. This instrument uses evidence values designed for exactly that behaviour—and never treats different scheduled games as one stream.

Evidence capital by ball

Fantasy 55/39 era · since Apr 20105,885 draws

Global evidence: 0.03×
Alarm line: 20×
Null inclusion rate: 12.82%
80% power scale: ±1.77 points

Beta-mixture e-processbeta-mixture-e-v1global value is the valid average across balls

20 is the 5% Ville threshold. Crossing it is a prompt to investigate data and machinery, not an allegation.

Every ball on its own

Fantasy 55/39 era · since Apr 20105,885 draws

320.36×

30.06×

10.05×

240.05×

110.03×

40.02×

70.02×

150.02×

50.02×

360.02×

170.02×

270.02×

The reference line is the corrected 780×: a ball has to reach that before its own figure is a claim rather than a description.

Beta-mixture e-processbeta-mixture-e-v1per-ball e-processes averaged into one valid global e-process; the per-ball column is descriptive and needs 780x before it is a claim

Descriptive; not anytime-valid on its own. Each ball’s e-process is a valid test for that ball, but this column shows the largest of 39 of them and picking the largest is a selection — Ville’s guarantee covers one process, not a maximum over many.

The maths, in plain language

Evidence safe under peeking

For one ball, $X_t=1$ when it appears and $p=k/N$ . With a $\operatorname{Beta}(1/2,1/2)$ alternative,

The story behind it

A statistic built for the monitoring room

A monitoring room must be able to look every day. Safe testing prices that freedom into the statistic itself. The result is less theatrical than repeated significance tests—and far harder to fool by choosing when to stop.