Arbeitspapier

Robust Statistics

The first example involves the real data given in Table 1 which are the results of an interlaboratory test. The boxplots are shown in Fig. 1 where the dotted line denotes the mean of the observations and the solid line the median. We note that only the results of the Laboratories 1 and 3 lie below the mean whereas all the remaining laboratories return larger values. In the case of the median, 7 of the readings coincide with the median, 24 readings are smaller and 24 are larger. A glance at Fig. 1 suggests that in the absence of further information the Laboratories 1 and 3 should be treated as outliers. This is the course which we recommend although the issues involved require careful thought. For the moment we note simply that the median is a robust statistic whereas the mean is not.

Sprache
Englisch

Erschienen in
Series: Papers ; No. 2004,20

Klassifikation
Wirtschaft

Ereignis
Geistige Schöpfung
(wer)
Gather, Ursula
Davies, P. Laurie
Ereignis
Veröffentlichung
(wer)
Humboldt-Universität zu Berlin, Center for Applied Statistics and Economics (CASE)
(wo)
Berlin
(wann)
2004

Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Gather, Ursula
  • Davies, P. Laurie
  • Humboldt-Universität zu Berlin, Center for Applied Statistics and Economics (CASE)

Entstanden

  • 2004

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