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Formeln und Tabellen der mathematischen Statistik

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Springer Nature
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9783642493768
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VI Ein Beispiel fr viele sei aus dem Abschnitt Testverfahren hervorgehoben. Hypothesen werden in der neuen Darstellung nicht mehr "angenommen" oder "abgelehnt", sondern je nach dem experimentellen Befund ent weder "nicht verworfen" oder "verworfen". Damit wollen wir dem weitverbreiteten Irrtum entgegenarbeiten, da mit der "Annahme einer Hypothese" ihre Richtigkeit "statistisch nachgewiesen" sei. Wenn sich Hypothese und Versuchsergebnis nicht widersprechen, so ist es sinnvoll, die Hypothese (gewissermaen als Arbeitshypothese) bei zubehalten, sie also nicht zu verwerfen. Keinesfalls (!) ist bei dieser Sachlage bewiesen, da sie richtig ist. Stehen Hypothese und Versuchs ergebnis im Widerspruch zueinander, so mu man die Hypothese zugunsten einer Gegenhypothese verwerfen. Das ist eine echte Ent scheidung: Die Hypothese ist falsch. Die von U. GRAF in der ersten Auflage gewhlte zweckmige Anordnung der Stichworte lie sich bei dem erweiterten Umfang des Werkes leider nicht mehr verwirklichen. Dagegen haben wir, ebenso wie frher, die wichtigsten Formeln durch eine Reihe kurzer Beispiele erlutert. Man kann darber streiten, ob Beispiele in ein Tafelwerk gehren. Die freundliche Aufnahme dieses Teils in den frheren Be sprechungen hat uns jedoch ermutigt, die Zahl der Beispiele sogar noch etwas zu vermehren.

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