Varianzschätzung in komplexen Erhebungen
DOI:
https://doi.org/10.17713/ajs.v37i3&4.311Abstract
Im Rahmen der Qualitätsberichterstattung europäischer Statistiken sollen im Europäischen Statistischen System neben klassischen Qualitätsangaben auch Aussagen zur Genauigkeit von Statistiken gemacht werden. Neben Nichtstichprobenfehlern spielen im Rahmen der Genauigkeit von Statistiken Stichprobenfehler eine wesentliche Rolle. Im Allgemeinen
erfolgt die Quantifizierung dieser Fehler über Angaben zur Varianz der interessierenden
Statistik, welche zumeist aus der selben Stichprobe geschätzt werden müssen.
Im Rahmen der vorliegenden Arbeit soll ein Überblick über die aktuell verwendeten
Varianzschätzmethoden gegeben werden. Dabei werden deren Vorund Nachteile diskutiert. An Hand zweier für die Praxis einer Amtlichen Statistik bedeutsamen Beispiele sollen die Verfahren demonstriert werden.
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