Inhoudsopgave
Data ............................................................................................................................................................... 3
Grafische weergave ........................................................................................................................................ 3
Populatiegemiddelde en steekproefgemiddelde ............................................................................................. 4
Variantie ........................................................................................................................................................ 4
Covariantie ..................................................................................................................................................... 4
Correlatie ....................................................................................................................................................... 4
Permutaties .................................................................................................................................................... 4
Binomiale coefficient ...................................................................................................................................... 4
Klassieke kansrekening ................................................................................................................................... 5
Kansrekening op relatieve frequentie ............................................................................................................. 5
Discrete toevalsvariabelen ............................................................................................................................. 5
Verwachtingswaarde variabele .......................................................................................................................... 5
Variantie toevalsvariabele .................................................................................................................................. 5
Normale benadering van binomiaal ................................................................................................................ 6
Lineaire combinaties van toevalsvariabelen.................................................................................................... 6
............................................................................................................................................................................ 6
Steekproefverdeling van het gemiddelde ....................................................................................................... 6
Foutmarge / n bepalen mbv foutmarge .......................................................................................................... 6
Geschatte variantie ........................................................................................................................................ 7
Proporties ...................................................................................................................................................... 7
Bi van proporties................................................................................................................................................. 7
Hypothesetesten ............................................................................................................................................ 8
𝜎 𝑔𝑒𝑔𝑒𝑣𝑒𝑛 ......................................................................................................................................................... 8
Met 𝜇 ............................................................................................................................................................. 8
𝜎 𝑛𝑖𝑒𝑡 𝑔𝑒𝑔𝑒𝑣𝑒𝑛 ................................................................................................................................................ 8
Over populatievariantie ...................................................................................................................................... 8
Regressiemodel .............................................................................................................................................. 9
Regressielijn ................................................................................................................................................... 9
Totale kwadratensom en 𝑅2 ........................................................................................................................... 9
, SSR, SST, SSE ....................................................................................................................................................... 9
Variantie van foutterm ................................................................................................................................... 9
Steekproefverdeling van b1 .......................................................................................................................... 10
Hypothesetest 𝛽0 (beta-nul)......................................................................................................................... 10
Matched pairs .............................................................................................................................................. 10
Hypothesetest onafhankelijke steekproeven ................................................................................................ 11
Gelijke variantie𝜎1 = 𝜎2 | Met Sp ................................................................................................................... 11
Betrouwbaarheidsinterval gelijke variantie ................................................................................................. 11
Ongelijke variantie 𝜎1 ≠ 𝜎2............................................................................................................................. 11
Hypothesetest gelijke variantie .................................................................................................................... 11
, Data
• Kwalitatief: categorieen
o Ordinaal: hierarchische volgorde
o Nominaal: geen logische volgorde
• Kwantitiatief:
o Intervaldata: zowel positieve als negatieve waarden mogelijk zoals temp
o Ratiodata: werkelijk nulpunt, geen negatieve waarden zoals lengte
• Discreet: telbaar
• Continu: niet telbaar
Grafische weergave
• Frequentie verdeling
!"##$%$& #(%&")*$+&,-.&+/%$& #(%&")*$+&
o Breedte klasse= **/$*. -.*%%&/
o 0-50 = 5-7, 50-100=7-8 etc
• Histogram
• Lijndiagram
• Symmetrie
• Asymmetrisch
• spreidingsdiagram
Data ............................................................................................................................................................... 3
Grafische weergave ........................................................................................................................................ 3
Populatiegemiddelde en steekproefgemiddelde ............................................................................................. 4
Variantie ........................................................................................................................................................ 4
Covariantie ..................................................................................................................................................... 4
Correlatie ....................................................................................................................................................... 4
Permutaties .................................................................................................................................................... 4
Binomiale coefficient ...................................................................................................................................... 4
Klassieke kansrekening ................................................................................................................................... 5
Kansrekening op relatieve frequentie ............................................................................................................. 5
Discrete toevalsvariabelen ............................................................................................................................. 5
Verwachtingswaarde variabele .......................................................................................................................... 5
Variantie toevalsvariabele .................................................................................................................................. 5
Normale benadering van binomiaal ................................................................................................................ 6
Lineaire combinaties van toevalsvariabelen.................................................................................................... 6
............................................................................................................................................................................ 6
Steekproefverdeling van het gemiddelde ....................................................................................................... 6
Foutmarge / n bepalen mbv foutmarge .......................................................................................................... 6
Geschatte variantie ........................................................................................................................................ 7
Proporties ...................................................................................................................................................... 7
Bi van proporties................................................................................................................................................. 7
Hypothesetesten ............................................................................................................................................ 8
𝜎 𝑔𝑒𝑔𝑒𝑣𝑒𝑛 ......................................................................................................................................................... 8
Met 𝜇 ............................................................................................................................................................. 8
𝜎 𝑛𝑖𝑒𝑡 𝑔𝑒𝑔𝑒𝑣𝑒𝑛 ................................................................................................................................................ 8
Over populatievariantie ...................................................................................................................................... 8
Regressiemodel .............................................................................................................................................. 9
Regressielijn ................................................................................................................................................... 9
Totale kwadratensom en 𝑅2 ........................................................................................................................... 9
, SSR, SST, SSE ....................................................................................................................................................... 9
Variantie van foutterm ................................................................................................................................... 9
Steekproefverdeling van b1 .......................................................................................................................... 10
Hypothesetest 𝛽0 (beta-nul)......................................................................................................................... 10
Matched pairs .............................................................................................................................................. 10
Hypothesetest onafhankelijke steekproeven ................................................................................................ 11
Gelijke variantie𝜎1 = 𝜎2 | Met Sp ................................................................................................................... 11
Betrouwbaarheidsinterval gelijke variantie ................................................................................................. 11
Ongelijke variantie 𝜎1 ≠ 𝜎2............................................................................................................................. 11
Hypothesetest gelijke variantie .................................................................................................................... 11
, Data
• Kwalitatief: categorieen
o Ordinaal: hierarchische volgorde
o Nominaal: geen logische volgorde
• Kwantitiatief:
o Intervaldata: zowel positieve als negatieve waarden mogelijk zoals temp
o Ratiodata: werkelijk nulpunt, geen negatieve waarden zoals lengte
• Discreet: telbaar
• Continu: niet telbaar
Grafische weergave
• Frequentie verdeling
!"##$%$& #(%&")*$+&,-.&+/%$& #(%&")*$+&
o Breedte klasse= **/$*. -.*%%&/
o 0-50 = 5-7, 50-100=7-8 etc
• Histogram
• Lijndiagram
• Symmetrie
• Asymmetrisch
• spreidingsdiagram
