Statistical inference
A disciplined way to reason from a limited, noisy sample to a conclusion about the wider world, while measuring how easily chance alone could have faked the result. It turns "this looks like a real effect" into a quantity you can argue about.
Das tiefe Archiv ist vorerst auf Englisch verfasst — geprüfte Übersetzungen stehen auf der Roadmap. Die Übersetzungsfunktion Ihres Browsers funktioniert auf dieser Seite gut.
✦ Moment, wirklich?
The framework began with a colleague at Rothamsted who insisted she could taste whether the milk or the tea had gone into the cup first. To test her, R. A. Fisher designed the experiment that became the founding example of the null hypothesis: eight cups, four poured each way, in random order. By pure guessing, the odds of sorting all eight correctly are just 1 in 70 — and, by the account of Fisher's colleague, she got every cup right.
Was es ist
Descriptive statistics summarize the data in front of you; inference reaches past it, to a claim about the world the data were drawn from. R. A. Fisher's *Statistical Methods for Research Workers* (1925) put a portable version of this in every scientist's hands. State a *null hypothesis* — that there is no real effect, that she is only guessing. Then work out how surprising your actual data would be *if* the null were true, and report that surprise as a *p-value*. If the data would be very unlikely under "no effect," you have grounds to reject "no effect." Fisher offered p = 0.05 — a one-in-twenty result — as a convenient line for "worth taking seriously." That arbitrary threshold, chosen for convenience in this one book, still governs much of what science is willing to publish.
Warum es zählte
It let small, carefully arranged experiments deliver trustworthy general conclusions, and it turned "but chance could have produced this" from a debating tactic into a number. Fisher's companion volume, *The Design of Experiments* (1935), supplied the other half — randomization, replication, and blocking, the rules for arranging a study so that its statistics are valid in the first place. Together they converted whole fields from the accumulation of anecdote into controlled inference. The randomized controlled trial in medicine, the factorial experiment in agriculture and industry, and the empirical spine of modern psychology and economics all descend directly from these two books.
Was es erschloss
Statistical inference gave us the randomized controlled trial, industrial quality control and the design of experiments, econometrics, and the statistical foundation under every empirical science. Fisher's method of maximum likelihood — choose the model that makes the observed data most probable — is the direct ancestor of how modern machine-learning models are fit to data. Almost any modern sentence of the form "the effect was significant" is a debt to a woman tasting tea at Rothamsted.
Dieser Eintrag wartet noch auf seine vollständige Darstellung — die Kartografen sind am Werk. Sein Platz im Graphen ist bereits verifiziert.
Erschloss
Die Grenze — dahinter ist noch nichts kartiert.
Stimmt etwas auf dieser Seite nicht? Jede Behauptung hier soll dem Widerspruch standhalten. Eine Korrektur vorschlagen →