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Statistische Methoden: Ein Soforthelfer Für Interessierte in Naturwissenschaft, Medizin, Technik, Wirtschaft, Psychologie Und Soziologie by Lothar Sachs

Statistische Methoden: Ein Soforthelfer Für Interessierte in Naturwissenschaft, Medizin, Technik, Wirtschaft, Psychologie Und Soziologie

by Lothar Sachs
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Book cover type: Paperback
  • ISBN13: 9783540078241
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 109
  • Original Price: EUR 46.72
  • Language: German
  • Edition: 3., Neubearb. A
  • Item Weight: 146 grams
  • BISAC Subject(s): Probability & Statistics / General

1 Grundlagen und Ziele statistischer Methoden.- 1.1 Aufgaben der Statistik.- 1.2 Gestaltung statistischer Tabellen.- 1.3 Rechenhilfen und mathematische Zeichen.- 1.4 Wahrscheinlichkeit.- 1.5 Unabhängigkeit.- 1.6 Merkmal, Grundgesamtheit, Stichprobe.- 1.7 Zufallsstichprobe, systematischer Fehler, Parameter.- 1.8 Zufallszahlen zur Gewinnung einer Zufallsstichprobe.- 1.9 Stichproben-Auswahlverfahren.- 1.10 Randomisierung.- 2 Mittelwerte und Variabilität, unklassifizierte Beobachtungen.- Bedeutung und Berechnung des Mittelwertes, der Varianz, der Standardabweichung, des Medians, der Spannweite, des geometrischen Mittels, des harmonischen Mittels, des Variationskoeffizienten, des relativen Variationskoeffizienten, des Standardfehlers des Mittelwertes, der gewogenen Varianz und des gewogenen Mittelwertes..- 3 Häufigkeitsverteilung und Summenhäufigkeitsverteilung.- 3.1 Klassenbildung und Histogramm.- 3.2 Wahrscheinlichkeitsnetz.- 3.3 Berechnung des Medians.- 3.4 Berechnung des Mittelwertes und der Varianz.- 4 Normalverteilung.- 4.1 Eigenschaften der Normalverteilung.- 4.2 Bedeutung der Normalverteilung.- 4.3 Normalisierende Transformationen.- 4.4 Spannweite und Normalverteilung.- 5 Vertrauensbereiche.- 5.1 Punktschätzung und Intervallschätzung.- 5.2 Bedeutung des Vertrauensbereiches.- 5.3 Der Vertrauensbereich des Mittelwertes.- 5.4 Der Vertrauensbereich des Medians.- 5.5 Der Vertrauensbereich der Varianz, der Standardabweichung und des Variationskoeffizienten.- 5.6 Der Vertrauensbereich einer relativen Häufigkeit.- 5.7 Der Vertrauensbereich für Lambda.- 5.8 Vertrauensbereich und Test.- 6 Statistische Tests.- 6.1 Der statistische Test Gemessene Beobachtungen: Beurteilung von Meßreihen.- 6.2 F-Test, der Vergleich zweier Varianzen unabhängiger Stichproben.- 6.3 t-Testfür den Vergleich zweier Mittelwerte unabhängiger Stichproben.- 6.4 Vertrauensbereich für die Differenz zweier Mittelwerte unabhängiger Stichproben.- 6.5 t-Test für paarweise angeordnete Meßwerte.- 6.6 Vorzeichentest für gepaarte Beobachtungen Gezählte Beobachtungen: Beurteilung von Häufigkeiten.- 6.7 Vergleich zweier Häufigkeiten.- 6.8 Vergleich mehrerer Häufigkeiten.- 6.9 Vergleich zweier relativer Häufigkeiten.- 6.10 Vierfelder-?2-Test auf Unabhängigkeit oder Homogenität.- 6.11 Mehrfelder-?2-Test auf Unabhängigkeit oder Homogenität.- 6.12 ?2-Anpassungstest.- 6.13 Prüfung auf 1/2 für verbundene Stichproben von Alternativdaten.- 7 Wieviel Beobachtungen werden benötigt?.- 7.1 Mindestzahl von Beobachtungen zur Schätzung einer Standardabweichung, eines Mittelwertes und einer relativen Häufigkeit.- 7.2 Mindestzahl von Beobachtungen für den Vergleich zweier Mittelwerte.- 7.3 Mindestzahl von Beobachtungen für den Vergleich zweier relativer Häufigkeiten.- 8 Korrelation und Regression Beurteilung linearer Zusammenhänge.- 8.1 Funktionaler Zusammenhang.- 8.2 Stochastischer Zusammenhang.- 8.3 Korrelation.- 8.4 Regression.- 8.5 Grafische Darstellung.- 8.6 Berechnungen: Korrelation und Regression.- 8.7 Prüfung des Korrelationskoeffizienten.- 8.8 Linearer und parabolischer Trend mit ?x=0.- 9 Anhang: Schnellverfahren für den Vergleich mehrerer Mittelwerte.- 1. Einwegklassifizierung.- 2. Zweiwegklassifizierung.- Hinweis: Varianzanalyse (Einwegklassifizierung) und Scheffé-Test.- Schlußbemerkung.- Raum für Notizen.- Zum Gebrauch der Klapptafel.- Klapptafel.

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