Summary

Zusammenfassung Multivariate Verfahren

1 purchase

Course
Multivariate Analyseverfahren

Institution
Hochschule Fresenius

1 Beast of Bias ............................................................................................................................................ 1 1.1 Ausreißer ..............................................................................................................................

[Show more]

Preview 4 out of 129 pages

View example

Uploaded on August 1, 2023
Number of pages 129
Written in 2022/2023
Type Summary

ausreißer
annahmen
prüfung voraussetzungen
messings
umgang fehlender werte
imputationen
multiple regression
signifikanz
voraussetzungsüberprüfung
entstehung fehlender werte
multiple lineare regression

Institution
Hochschule Fresenius
Education
Psychologie
Course
Multivariate Analyseverfahren

$31.89

Add to cart

Add to wishlist

100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached

MULTIVARIATE VERFAHREN
Prof. Dr. Baum

1. Fachsemester
Hochschule Fresenius, Frankfurt am Main

Luca Loreen Kraft
Psychologie, M. Sc.

,Inhaltsverzeichnis

Inhaltsverzeichnis .......................................................................................................................................... I

1 Beast of Bias ............................................................................................................................................ 1

1.1 Ausreißer .............................................................................................................................................................................. 2

1.2 Annahmen ............................................................................................................................................................................. 4

1.3 Überprüfen der Voraussetzungen .............................................................................................................................. 6

1.3.1 Testen auf Ausreißer ......................................................................................................................................................... 6
1.3.2 Testen von Linearität und Homoskedastizität ...................................................................................................... 8
1.3.3 Testen auf Homoskedastizität ...................................................................................................................................... 9

2 Missings – Umgang mit fehlenden Werten ................................................................................. 11

2.1 Entstehung fehlender Werte ...................................................................................................................................... 11

2.2 Typen und Muster ........................................................................................................................................................... 11

2.3 Imputationen ..................................................................................................................................................................... 15

2.3.1 Strategien im Umgang mit fehlenden Werten .................................................................................................... 15
2.3.2 Regressionsimputation ................................................................................................................................................. 16
2.3.3 Expectation maximization .......................................................................................................................................... 16
2.3.4 Multiple Imputation („data augmentation“) ...................................................................................................... 16

3 Multiple Regression............................................................................................................................ 18

3.1 Multiple lineare Regression ........................................................................................................................................ 18

3.1.1 Exkurs: Dummy Codierung .......................................................................................................................................... 18
3.1.2 Einfachster Fall_ Zwei Prädiktoren ......................................................................................................................... 19
3.1.3 Interpretation Beta-Gewichte .................................................................................................................................... 22
3.1.4 Exkurs: Partielle vs. Semipartielle Korrelation .................................................................................................. 24
3.1.5 Multiple Regression ........................................................................................................................................................ 25
3.1.6 Determinationakoeffizient – einfache Regression ............................................................................................ 25
3.1.7 Signifikanttest: Modell .................................................................................................................................................. 27
3.1.8 Signifikantest Steigungskoeffizient ......................................................................................................................... 27
3.2 Anwendung ........................................................................................................................................................................ 29

3.2.1 Annahmen ........................................................................................................................................................................... 29
3.2.2 Selektionsverfahren ........................................................................................................................................................ 32

4 Logistische Regression ...................................................................................................................... 35

4.1.1 Ablaufschritte einer logistischen Regression ...................................................................................................... 37

Multivariate Verfahren I

, 4.1.2 Grundlegende Zusammenhänge der logistischen Regression ...................................................................... 38
4.1.3 Interpretation der Regressionskoeffizienten....................................................................................................... 39
4.2 Interpretation Odds Ratio ............................................................................................................................................ 41

4.2.1 Wirkung einer Vergrößerung von X um eine einheit bei Positivem und Negativem
Regressionskoeffizienten .............................................................................................................................................................. 42
4.2.2 FACHARTIKEL: Interpretieren der Ergebnisse indem Sie einen Antwortsatz bilden ........................ 42
4.3 The Log-Likelihood – Prüfung des Gesamtmodells .......................................................................................... 43

4.3.1 R & R2 (Pseudo-R2-Statistik) ...................................................................................................................................... 43
4.3.2 The Wald Statistic ........................................................................................................................................................... 44
4.3.3 Builiding the Model......................................................................................................................................................... 44
4.3.4 Things that can go wrong ............................................................................................................................................ 45
4.3.5 The Process ......................................................................................................................................................................... 46

5 Univariate Varianzanalysen ............................................................................................................ 47

5.1.1 Univariate vs. Multivariate Varianzanalyse ........................................................................................................ 47
5.1.2 Warum Varianzanalyse? .............................................................................................................................................. 47
5.2 Typen der Varianzanalyse ........................................................................................................................................... 48

5.2.1 Terminologie der Varianzanalyse ............................................................................................................................ 50
5.2.2 Voraussetzung der Varianzanalyse ......................................................................................................................... 50
5.3 Das Grundprinzip der Varianzanalyse ................................................................................................................... 50

5.3.1 Die Varianz ......................................................................................................................................................................... 51
5.3.2 Die Gesamtvarianz .......................................................................................................................................................... 51
5.3.3 Zerlegung der Gesamtvarianz.................................................................................................................................... 52
5.3.4 Die Schätzung der Residualvarianz (nicht erklärte Streuung) ................................................................... 54
5.3.5 Quadratsummen .............................................................................................................................................................. 55
5.4 Prüfung statistische Signifikant – der F-Bruch ................................................................................................... 55

5.4.1 Die Null-Hypothese ......................................................................................................................................................... 55
5.5 Effektstärke ........................................................................................................................................................................ 56

5.5.1 Die Alternativhypothese der Varianzanalyse...................................................................................................... 57
5.6 Beispielrechnung ............................................................................................................................................................. 57

5.7 Mehrfaktorielle ANOVA ................................................................................................................................................ 59

5.7.1 Nomenklatur ..................................................................................................................................................................... 59
5.7.2 Effektarten.......................................................................................................................................................................... 60
5.8 Definition der Wechselwirkung ................................................................................................................................ 65

5.8.1 Ordinale Wechselwirkung ........................................................................................................................................... 65
5.8.2 Semiordinale Wechselwirkung .................................................................................................................................. 66
5.8.3 Disordinale Wechselwirkung ..................................................................................................................................... 67
5.9 Voraussetzungen ............................................................................................................................................................. 68

Multivariate Verfahren II

, 5.10 Varianzzerlegung ............................................................................................................................................................. 68

6 Multivariate Varianzanalyse (MANOVA) ..................................................................................... 69

6.1 Uni- vs. Multivariate Varianzanalyse ...................................................................................................................... 69

6.1.1 Fragestellung für MANOVA ......................................................................................................................................... 70
6.2 MANOVA – Hypothesentestung ................................................................................................................................. 71

6.2.1 Analyse der Varianzen................................................................................................................................................... 71
6.2.2 Additivität der Quadratsummen............................................................................................................................... 72
6.3 Prüfgrößen bei der MANOVA ..................................................................................................................................... 73

6.3.1 Wilk’s Lambda .................................................................................................................................................................. 73
6.3.2 Auswahl der Multivariaten Prüfgröße ................................................................................................................... 74
6.3.3 Post Hoc Tests ................................................................................................................................................................... 75
6.3.4 Übersicht der Post-Hoc Tests ...................................................................................................................................... 76
6.3.5 Univariate Varianzanalyse.......................................................................................................................................... 76
6.3.6 Diskriminanzanalyse ..................................................................................................................................................... 76
6.3.7 Multivariate Kontraste ................................................................................................................................................. 77
6.3.8 Voraussetzungen ............................................................................................................................................................. 78
6.3.9 Varianzgleichheit/ Homoskedastizität .................................................................................................................. 79
6.3.10 Multikollinearität....................................................................................................................................................... 79

7 Repeated ANOVA ................................................................................................................................. 80

7.1.1 Arten von Faktoren ......................................................................................................................................................... 80
7.1.2 Versuchspläne mit Messwiederholung ................................................................................................................... 80
7.2 I. Rep ANOVA: 1 MW Faktor | Einfaktorielle Varianzanalyse mit Messwiederholung ...................... 81

7.2.1 Zerlegung der Gesamtvarinaz.................................................................................................................................... 81
7.2.2 Treatmenteffekt ............................................................................................................................................................... 83
7.2.3 Signifikanzüberprüfung der Effekte ........................................................................................................................ 84
7.2.4 Varianzzerlegung ............................................................................................................................................................ 86
7.2.5 Signifikanzprüfung und F-Bruch-Bildung ............................................................................................................ 87
7.2.6 Bewertung der Messwiederholung .......................................................................................................................... 88
7.3 Voraussetzung – Varianzanalyse mit Messwiederholung ............................................................................. 88

7.3.1 Voraussetzung: Unabhängigkeit der Messungen .............................................................................................. 88
7.3.2 Sphärizität .......................................................................................................................................................................... 89

8 Clusteranalyse ...................................................................................................................................... 91

8.1 Vorgehen ............................................................................................................................................................................. 92

8.1.1 Dichotome Variablen ..................................................................................................................................................... 93
8.1.2 Koeffizient ........................................................................................................................................................................... 93
8.1.3 Bestimmung der Ähnlichkeit ...................................................................................................................................... 94

Multivariate Verfahren III

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller lucaloreen. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $31.89. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

68175 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 15 years now

Start selling