The Seven Pillars of Statistical Wisdom - Softcover

Stigler, Stephen M.

Softcover

ISBN 10: 0674088913 ISBN 13: 9780674088917

Verlag: Harvard University Press, 2016

Inhaltsangabe

<p>What gives statistics its unity as a science? Stephen Stigler sets forth the seven foundational ideas of statistics—a scientific discipline related to but distinct from mathematics and computer science.<br><br>Even the most basic idea—<i>aggregation</i>, exemplified by averaging—is counterintuitive. It allows one to gain information by discarding information, namely, the individuality of the observations. Stigler’s second pillar, <i>information measurement, </i>challenges the importance of “big data” by noting that observations are not all equally important: the amount of information in a data set is often proportional to only the square root of the number of observations, not the absolute number. The third idea is <i>likelihood</i>, the calibration of inferences with the use of probability. <i>Intercomparison</i> is the principle that statistical comparisons do not need to be made with respect to an external standard. The fifth pillar is <i>regression</i>, both a paradox (tall parents on average produce shorter children; tall children on average have shorter parents) and the basis of inference, including Bayesian inference and causal reasoning. The sixth concept captures the importance of <i>experimental design</i>—for example, by recognizing the gains to be had from a combinatorial approach with rigorous randomization. The seventh idea is the <i>residual</i>: the notion that a complicated phenomenon can be simplified by subtracting the effect of known causes, leaving a residual phenomenon that can be explained more easily.<br><br><i>The Seven Pillars of Statistical Wisdom</i> presents an original, unified account of statistical science that will fascinate the interested layperson and engage the professional statistician.</p>

Über diesen Titel

Über die Autorin bzw. den Autor

Stephen M. Stigler is Ernest DeWitt Burton Distinguished Service Professor Emeritus in the Department of Statistics at the University of Chicago.

Details zur Ausgabe

• Verlag: Harvard University Press
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 0674088913
• ISBN 13: 9780674088917
• Einband: Taschenbuch
• Anzahl der Seiten: 230
• Kontakt zum Hersteller: PERBELLE; www.amazon.com; ; 38 Avenue John F. Kennedy; Luxembourg; L-1855; Luxemburg