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Samenvatting Module 1 Multivariate Analyse
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Module 1: algemeen lineair modelMULTIVARIATE
ANALYSE
,Inhoudsopgave
Module 1: algemeen lineair model...................................................................3
Schaal en indexconstructie............................................................................................. 3
Inleiding...................................................................................................................... 3
Redenen gebruik..................................................................................................... 3
Schalen vs. Indeksen...............................................................................................3
Meetniveaus............................................................................................................ 3
Dichotome variabelen.............................................................................................. 4
Samengestelde maten............................................................................................. 4
Schalen vs. indexen.................................................................................................4
Likertschaal................................................................................................................. 4
Werkwijze................................................................................................................ 4
Betrouwbaarheid van de schaal...............................................................................5
Guttmanschaal............................................................................................................ 5
Werkwijze................................................................................................................ 5
Reproduceerbaarheids-coëfficiënt...........................................................................5
Schaalbaarheidscoëfficiënt......................................................................................6
Indexen....................................................................................................................... 6
Kenmerken.............................................................................................................. 6
Kwaliteitskenmerken............................................................................................... 6
Inleiding tot de inferentiële statistiek.............................................................................7
Inleiding...................................................................................................................... 7
Steekproevenverdeling............................................................................................ 7
Centrale limietstelling.................................................................................................7
Punt en interval schattingen........................................................................................8
Betrouwbaarheidsintervallen...................................................................................8
Unbiased (niet-vertekende) en efficiënte schatters.................................................8
Toetsen........................................................................................................................ 8
Hypothesen............................................................................................................. 8
5-stappen procedure............................................................................................... 9
Kritieke waarde vs significantieniveau...................................................................10
Bivariate Relaties.......................................................................................................... 11
Bivariate correlatie.................................................................................................... 11
Bivariate verdelingen............................................................................................. 11
Correlatie en covariantie.......................................................................................11
N of N-1................................................................................................................. 11
Correlatie en matrices........................................................................................... 12
Alternatieve vormen van correlatie........................................................................12
Bivariate regressie..................................................................................................... 12
Kleinste kwadraten schatting................................................................................12
Regressiecoëfficiënten........................................................................................... 13
Kenmerken van coëfficiënten................................................................................13
BLUE?.................................................................................................................... 13
Hypothesetoets voor regressiecoëfficiënt..............................................................13
Partiële correlatie...................................................................................................... 14
Residuen en partiële correlatie..............................................................................14
Partiële correlatiecoëfficiënt..................................................................................14
Significantietoets voor de partiële correlatiecoëfficiënt.........................................14
Uitkomstzones van kendall & lazarsfeld.................................................................15
Meervoudige lineaire regressie.....................................................................................17
Inleiding.................................................................................................................... 17
Multipele causaliteit............................................................................................... 17
Basisprincipe van regressie...................................................................................17
Statistische controle.............................................................................................. 17
Meervoudige regressie met 2 onafhankelijke variabelen...........................................18
1Y, 2X.................................................................................................................... 18
1
, Kleinste kwadraten schatting................................................................................18
Partiële regressie coëfficiënten..............................................................................18
Gestandaardiseerde regressiecoëfficiënten...........................................................18
Assumpties................................................................................................................ 19
Basis assumpties................................................................................................... 19
Gauss-markov assupties........................................................................................19
Algmeen model......................................................................................................... 22
Algemene definitie................................................................................................. 22
Kenmerken van regressiecoëfficiënten......................................................................22
BLUE...................................................................................................................... 22
Verwachte waarde................................................................................................. 23
Standaardfout voor B............................................................................................. 23
Voorspelde of geschatte waarde............................................................................23
Multipele correlatie.................................................................................................... 23
Sommen der kwadraten........................................................................................23
Determinantiecoëfficiënt.......................................................................................24
Multipele correlatie R............................................................................................. 24
Multipele correlatie................................................................................................ 24
Verklaarde variantie.............................................................................................. 24
Sk interpretatie van R2........................................................................................... 24
Multipele correlation (2 X-VAR)..............................................................................25
Adjusted R2............................................................................................................ 25
Semipartiële correlatiecoëfficiënt R.......................................................................25
Andere fitindicatoren............................................................................................. 25
Toetsen voor meervoudige regressie.........................................................................26
Anova toets........................................................................................................... 26
Effecttoetsen......................................................................................................... 27
Meervoudige regressie uitvoeren..............................................................................29
Parsimonieus model............................................................................................... 29
MULTIVARIATE ANALYSE
2
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