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Faktoranalyse. Thore Egeland UiO /HIO 9 sept 2008. Data. WAIS: Wechsler Adult Intelligence Scale (Fiktive data). “A statistical procedure for reducing a large set of variables into a smaller set of variables…” Polit&Beck
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Faktoranalyse ThoreEgeland UiO/HIO 9 sept 2008
Data WAIS: Wechsler Adult Intelligence Scale (Fiktive data)
“A statistical procedure for reducing a large set of variables into a smaller set of variables…” • Polit&Beck • “Today correlational methods and factor analysis remain among the most common statistical techniques used in test validation”. • Crocker&Algina • “Factor analysis is a statistical method used to explain variability among observed variables in terms of fewer unobserved variables called factors”. • Wikipedia • “Factor analysis attempts to identify underlying variables, or factors, that explain the pattern of correlations within a set of observed variables”. • SPSS
Klassisk eksempel • Charles Spearman (1863-1945), en pioner innen faktoranalyse, observerte at barns prestasjoner innenfor forskjellige emner var postivt korrelert. Ut fra dette postulerte han at to underliggende faktorer forklarer ‘intelligens’. • Hvordan passer dette med definisjonene på forrige side?
Mer konkret: Crocker&Algina, kap 9WAIS: Wechsler Adult Intelligence Scale
Korrelasjoner: Hva skal vi se etter? (Normalt vil ikke korrelasjonene være like – fiktive data)
Faktor 1: Verbal faktor • Faktor 2: Ferdighetsfaktor • Hvor ble det av ‘datareduksjonen’?
Mye å lære: Har hoppet over mange tekniske detaljer som man må kjenne før man kan gjennomføre en faktoranalyse. Fra SPSS-dokumentasjonen: The factor analysis procedure offers a high degree of flexibility: Seven methods of factor extraction are available. Five methods of rotation are available, including direct oblimin and promax for nonorthogonal rotations. Three methods of computing factor scores are available, and scores can be saved as variables for further analysis.