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Overzicht berekeningen die nodig zijn voor tentamen Statistiek 2
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Overzicht berekeningen die nodig zijn voor tentamen Statistiek 2. Cijfer tentamen: 8,0.
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Summary - Statistics 1 (P_BSTATIS_1)
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Summary Statistics/Statistiek 1 VU
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Enkelvoudige regressie y = a + bxResidu e = y - y^
SSE ∑(y - y^)² (ypredic)
TSS ∑(y - ygem)²
Helling (voorspelverg.) ∑((X - gemX) (Y - gemY)) / ∑(X - gemX)²
Constante gemY - (helling * gemX)
S² SSE / (N - 2)
Geschatte SD √SSE / (N - 2)
Correlatie enkelvoudig b * SDX / SDY
Voorspelde waarden y^ = a + bx
R² Correlatie in het kwadraat
Voorspelfout Y y - gemY
Kwadraatfout Y (TSS) ∑(y - gemY)²
Determinatiecoëff. (R²) (TSS - SSE) / TSS
Conditionele variantie Standard Error Of Estimate²
BHI + Sdhelling b +/- Z * standaardfout
BHI - Sdhelling (onbekd) b +/- t (van n-2)* sd
Foutenmarge t * se
Helling berekenen t * se
T-Toets helling b (schatting) - b0 (waarde H0) / Se (b)
T-Toets correlatie (r * (√n-2) / √1-r²
T-Toets correlatie r / √((1 - r²)/(n-2))
r berekenen uit variantie √varantie
Percentage verklaarde variantie in Y door X helling X * (SDX / SDY), uitkomst in ²
Verschil in gemiddelden Helling X / SE
SD multipele regressie ∑(y - y^)² / (n-k-1)
Proportie verklaarde variantie R²
Proportionele afname van fouten E1 - E2 / E1
Volledige formule R² TSS - SSE / TSS = ∑(y - ygem)² - ∑(y - y^)² / ∑(y - ygem)²
Standard Error Estimate in multipele √SSE / n-k-1
F-toets (R² / k) / (1-R²)/(n-k-1)
Multipele marginale variantie TSS / n-1
Multipele conditionele variantie SSE / n-k-1
Standaarddeviatie van residuen √MSE
Multipele correlatie √R²
Anova F-toets ((TSS - SSE) / K) / (SSE / (N-k-1))
F-Change ((SSEr - SSEc) / (DF1 - DF2)) / SSEc / DF2
MSE SSE / 2
Standaardiseren coëfficiënten helling X * (SDX / SDY)
Gestandaardiseerde residuen S = √MSE
Gestudentiseerde residuen S * √1 - h
Vuistregel leverage 2*p /n of 3*p/n
Cook's Distance 4/n
VIF -R²j
Partiële correlatie Ryx1.x2 = (ryx1 – (ryx2 * rx1x2)) / √((1-r²yx2)(1-r²x1x2)).
Gekwadrateerde partiële correlatie r²yx2.x1 = (R² - r²yx1) / (1 – r²yx1).
T-toets partiële correlatie ryx1.x2 / √(1-r²yx1.x2) / (n-k-1)
Residual MSE SEE²
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