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Samenvatting CSI Q7 - Statistics

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Samenvatting CSI Q7 - Statistics, bestaand uit een Glossary (met symbolen en formules), hoorcolleges, en output van het programma R (behandeld tijdens cursus, wordt gevraagd in tentamen).

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Renske de Veer (rdeveer)


Samenvatting statistiek
Variatie: de som van de gekwadrateerde verschillen ten opzichte van het gemiddelde gedeeld door
de vrijheidsgraden (n-1) → Variantie maat voor verschil tussen getallen.

Symbolen
μ Gemiddelde/Verwachtingswaarde populatie
σ SD populatie
E(X) Gemiddelde
Π (P) Proportie
SE Standaard error
n steekproef grootte

Formules
Meetfout Xi = Wi + Ei. Waarbij Xi staat voor geobserveerde waarde in
meting i, Wi staat voor ware score meting i, en Ei staat
toevallige meetafwijking in meting i.
Betrouwbaarheidsinterval (klassiek) 95% van alle waarden tussen μ +/– 1.96 * σ. Wannee 0/1 in CI
dan niet significant!


Chi-kwadraat Waarbij O
Gestandaardiseerd verschil (gevonden verschil – waarden volgens
nulhypothese)/(standaard error)


Variantie
Standaarddeviatie Wortel van de variantie

Twee proporties SEM
Verwachte waarde E(X) = Σx ×p(x) = μ
Variantie van verwachte waarde Var(X) = Σ(x –μ)2 ×p(x) = σ2
Kansverdeling πx *(1 –π)n-x (waarbij π = kans op succes, n = aantal
experimenten, x = aantal successen).
Proportie Aantal zieken/totaal aantal


Variantie van proprotie
S pooled wortel van ((SDa2 + SDb2)/(2))
Variantie binomiale verdeling n ×π×(1 –π)
Variantie van de kansvariabele Var(X) = Σ(x –μ)2 ×p(x) = σ2

, Renske de Veer (rdeveer)

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