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