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Benodigde berekeningen voor tentamen Statistiek 1B
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Benodigde berekeningen voor tentamen Statistiek 1B
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Berekeningen Statistiek 1BNaam berekening Berekening Waarbij DF
Populatie std. dv. gem. σ² = ∑(Xi – μ)² / N μ = pop. gem.
Steekproef std. dv. gem. S² = ∑(yi – y)² / n - 1 y = stkprf. gem.
Standaardfout gem. σy = S / √n
Prop. Populatie std. dv. σ = √π(1 – π) (wortel geheel) π = aantal / totaal
Prop. Standaardfout σπ = √π(1 – π) / n (wortel geheel)
Prop. BHI σπ = √π(1 – π) / n (wortel geheel)
Prop. BHI Interval π^ +/- Z * standaardfout Z = opzoeken tabel B
BHI Interval gem. Y +/- Z * standaardfout gem.
BHI Interval gem. T-verdeling Y +/- T * standaardfout gem. T = opzoeken tabel B n-1
Toetsingsgrootheid één gem. T = y – μ0 / standaardfout gem. T = opzoeken tabel B n-1
Toetsingsgrootheid één prop. Z = π^ - π0 / se0 Z = opzoeken tabel A
Se0 Se0 = π0(1 - π0) / n π0 = prop. nul
Power 1 1 – β = P(y > Z* - d√n) Z = waarde van α
Power 2 Uitkomst P(y > Z* - d√n) Uitkomst = tabel A
Power 3 1 – uitkomst power 2
Vergelijken BHI std. fout Se = √π1 (1 – π1) / n1 + π2 (1 – π2) / n2
(wortel geheel)
Formule vergelijken BHI prop. (π1 - π2) +/- t * std. fout BHI T = opzoeken tabel B
Z – Toets vergelijken groep toetsing π^ = X1 + X2 / n1 + n2 (vaak totaal)
Z – Toets vergelijken groep std. fout √π^(1 - π^)(1 / n1 + 1 / n2) (wortel geheel)
Z - Toets vergelijken groep Z = (π1 – π2) – 0 / standaardfout Z = opzoeken tabel A
T – Toets vergelijken groep T = y1 – y2 / √s1 / n1² + s2 / n2² T = opzoeken tabel B (min) n1 –
ongelijke variantie 1, n2 – 1
T – Toets vergelijken groep gelijke T = y1 – y2 / s pooled n1 + n2 -
variantie 2
S pooled S pooled = √(n1 – 1)S1² + (n2 – 1)S2² / n1 +
n2 – 2 (wortel geheel)
T – Toets gepaarde waarnemingen T = yd – 0 / S / √n n–1
YD Yd = moment 2 – moment 1
Chi – Kwadraat Toets X² = ∑(f0 – fe)² / fe T = opzoeken tabel C (k – 1)(r –
1)
Verwachtte frequentie fe = rij totaal / totaal * kolom totaal
Gestandaardiseerd residu Z = fo – fe / √fe(1 – rij prop)(1 – kolom > 2 of 3 =
prop) samenhang
Odss – Ratio Odss A / Odss B
Odss A of B Odss A = kans op A / kans op niet A
Odss A of B Odss A = p(A) / p(A + B)
Odss A of B Odss A = p(A) / 1 – (p)A
Correlatie methode I R = Sxy / SxSy Sxy / Sx * Sy
Sx, Sy Sx, Sy = √∑ (gem. X, Y)² / n – 1 (wortel
geheel)
Sxy Sxy = ∑(alle gem.) / n – 1
Correlatie methode II R = Sx / Sy * b (wordt gegeven)
Correlatie T – toets T = r√n – 2 / √1 – r²
Transformatie r naar rz Rz = 0,5 * (ln (1 + r / 1 – r))
Rz standaardfout 1 / √n – 3
Rz BHI Rz + / - z * rz standaardfout
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