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Zusammenfassung Deskriptive Statistik Klasseneinteilung
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Deskriptive Statistik
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5. Statistische Kennwerte: Klasseneinteilung:Ergänzung zum letzten Mal:
Maß Skalenniveau mindestens:
Häufigkeit / Prozente Nominalskala
Modalwert
Median Ordinalskala
Quartile
Arithmetisches Mittel Intervallskala
Varianz
Standardabweichung
Schiefe
Exzess
Klasseneinteilung
Überblick: Klasseneinteilung / Kategorisierung • Klassenmitte • Häufigkeitsdichte
KATEGORISIERUNG
• Kategorien sind disjunkt (keine Überlappung)
• Kategorien sind direkt benachbart (keine Lücken)
• An den Rändern sind „offene“ Kategorien erlaubt
• Alle geschlossenen Kategorien sind gleich breit
• Je größer eine Stichprobe, desto mehr und desto schmalere Kategorien werden gebildet, in der Regel
nicht mehr als 20.
• Faustregel für die Anzahl der Kategorien (Leonhard, 2004):
◦ Bei N Probanden: m = 1 + 3.32 · log10 (N)
◦ Bei 20 Probanden: m = 1 + 3.32 · log10 (20) = 1 + 3.32 · 1.3 ≈ 4
◦ Bei 100 Probanden: m = 1 + 3.32 · log10 (100) = 1 + 3.32 · 2.0 ≈ 8
◦ Bei 1000 Probanden: m = 1 + 3.32 · log10 (1000) = 1 + 3.32 · 3.0 ≈ 10
HÄUFIGKEITSVERTEILUNG
𝑥𝑗 ′𝑜𝑑𝑒𝑟 𝑎𝑢𝑐ℎ 𝑚𝑗 =
(𝑐𝑗−1 + 𝑐𝑗)
2
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