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Samenvatting - Statistiek 3 voor Pedagogen (P_BSTA3PW)

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De hoorcollege slides zijn vertaald en uitgewerkt. Daarnaast zijn belangrijke dingen uit de Q&A en werkgroep toegevoegd. Als laatst zijn de samenvattingen van de hoofdstukken van Warner (2013) toegevoegd in het Nederlands

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Hoorcollege 1................................................................................................................4
Definitie statistiek.......................................................................................................4
Herhaling....................................................................................................................5
Beschrijvende en inferentiële statistieken.................................................................6
Data, populatie, steekproef, betrouwbaarheid en validiteit........................................7
Soorten kansverdelingen...........................................................................................8
Hypothese testen.......................................................................................................9
3 voorbeelden van hypothesetests..........................................................................10
Verband tussen variabelen: naar bivariate statistiek...............................................12
Q&A week 1.................................................................................................................14
1 voorbeeld, 3 mogelijkheden..................................................................................14
Werkgroep 1................................................................................................................16
Multipele regressie...................................................................................................16
Sums of squares......................................................................................................16
ANOVA.....................................................................................................................16
Warner (2013) hoofdstuk 9..........................................................................................17
Hoorcollege 2..............................................................................................................19
ANOVA.....................................................................................................................19
ANOVA test-statistiek: F-ratio..................................................................................20
ANOVA: meervoudig toetsen en type 1 fout............................................................22
ANOVA: voorbeeld...................................................................................................23
Contrasten...............................................................................................................25
Bonferroni-correctie voor meervoudige testen........................................................28
ANOVA stappenplan................................................................................................28
Warner (2013) hoofdstuk 6..........................................................................................29
Hoorcollege 3..............................................................................................................31
Factoriele ANOVA....................................................................................................31
One-way vs. two-way ANOVA.................................................................................34
Orthogonaliteit..........................................................................................................35
Factoriele ANOVA: meervoudig testen en type-1 fout............................................38
Voorbeeld factoriele ANOVA...................................................................................38
Q&A week 3.................................................................................................................44
Voorbeeld variantie berekenen................................................................................44

1

,Warner (2013) hoofdstuk 13........................................................................................46
Hoorcollege 4..............................................................................................................48
Eenvoudige regressie met dummyvariabele...........................................................48
Meervoudige regressie met dummyvariabele..........................................................49
ANCOVA..................................................................................................................51
ANCOVA vs. ANOVA...............................................................................................54
ANCOVA: effect maten............................................................................................54
Voorbeeld.................................................................................................................55
Waarschuwing voor onjuist gebruik.........................................................................58
Warner (2013) hoofdstuk 5..........................................................................................60
Warner (2013) hoofdstuk 8..........................................................................................63
Hoorcollege 5..............................................................................................................64
Moderatie.................................................................................................................64
Voorbeeld.................................................................................................................64
Mediatie....................................................................................................................67
Voorbeeld.................................................................................................................68
Moderatie vs. mediatie.............................................................................................71
Q&A 5..........................................................................................................................72
Outliers, leverage (hefboomeffect) en invloedrijke punten......................................72
Warner (2013) hoofdstuk 15........................................................................................74
Warner (2013) hoofdstuk 16........................................................................................75
Hoorcollege 6..............................................................................................................76
MANOVA..................................................................................................................76
Univariaat vs. multivariaat........................................................................................77
Voorbeeld.................................................................................................................78
Effect maten MANOVA............................................................................................79
Laatste opmerkingen MANOVA...............................................................................82
Herhaalde metingen (repeated measures)..............................................................82
Voor- en nadelen van herhaalde metingen.............................................................82
ANOVA vs. herhaalde metingen ANOVA................................................................83
Sfericiteit: voorbeelden............................................................................................84
Voorbeeld One-way herhaalde metingen ANOVA..................................................85
Voorbeeld Two-way herhaalde metingen ANOVA..................................................87
Q&A 6..........................................................................................................................88
Contrasten...............................................................................................................88

2

,Warner (2013) hoofdstuk 19........................................................................................89
Warner (2013) hoofdstuk 22........................................................................................90




3

, Hoorcollege 1
Definitie statistiek
 "Statistiek is de wetenschap van het verzamelen, organiseren en interpreteren
van numerieke feiten, die we gegevens noemen"
 Belangrijke zaken voor de toepassing van statistiek
o Het selecteren van een steekproef uit een populatie
o Beslissen of een steekproef representatief is
o Beschrijvende of afgeleide statistieken
o Meetniveaus (NOIR) en soorten variabelen (categorisch of kwantitatief)
o Selecteren van de juiste statistische analyse
o Experimentele vs. Niet-experimentele onderzoeksopzet

Methoden (ontwerp) & statistiek (toolkit)
 Belangrijk voor de toepassing van statistiek (“applied statistics”):
o Selecteren van de juiste statistische analyse




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