Other
Formule en tabelblad Premaster Beschrijvende en inferentiële statistiek (S_PMBIS)
- Course
- Institution
Formule en tabelblad Premaster Beschrijvende en inferentiële statistiek (S_PMBIS)
[Show more]
Seller
Follow
DaveRom
Reviews received
Content preview
FormulebladBeschrijvende statistiek
∑𝑥 𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔 𝑤𝑤𝑤𝑤𝑤𝑤 − 𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔
Gemiddelde 𝑥̅ = Z-score 𝑧 − 𝑠𝑠𝑠𝑠𝑠 =
𝑛 𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑
Gewogen 𝑛1 𝑥1 + 𝑛2 𝑥2 1 1 𝑥 − 𝑥̅ 𝑦 − 𝑦�
𝑥̅ = Correlatiecoëfficiënt 𝑟= � 𝑧𝑥 𝑧𝑦 = �� �� �
gemiddelde 𝑛1 + 𝑛2 𝑛−1 𝑛−1 𝑠𝑥 𝑠𝑦
𝑦� = 𝑎 + 𝑏𝑏
Standaard ∑(𝑥 − 𝑥̅ )2
deviatie 𝑠=� Regressielijn 𝑠
𝑛−1 𝑏 = 𝑟 � 𝑦� en 𝑎 = 𝑦� − 𝑏(𝑥̅ )
𝑠
𝑥
∑(𝑥 − 𝑥̅ ) 2
Variantie 𝑠2 =
𝑛−1
Kansberekening en kansverdelingen
Kans op niet A 𝑃(𝐴𝑐 ) = 1 – 𝑃(𝐴)
𝑃(𝐴 𝑒𝑒 𝐵)
Conditionele kans op A gegeven B 𝑃(𝐴|𝐵) =
𝑃(𝐵)
Kans op A óf B 𝑃(𝐴 𝑜𝑜 𝐵) = 𝑃(𝐴) + 𝑃(𝐵) – 𝑃(𝐴 𝑒𝑒 𝐵)
Kans op A èn B
𝑃(𝐴 𝑒𝑒 𝐵) = 𝑃(𝐴) × 𝑃(𝐵)
(bij onafhankelijkheid)
Verwachte celwaarde (“expected cell (𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟) × (𝑘𝑘𝑘𝑘𝑘𝑘𝑘𝑘𝑎𝑎𝑎)
count”) 𝑡𝑡𝑡𝑡𝑡𝑡 𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠
Gemiddelde van kansverdeling/
𝜇 = 𝐸(𝑦) = � 𝑥𝑥(𝑥)
verwachte waarde
Eén proportie of gemiddelde
Proportie (𝑝) Gemiddelde (𝜇)
Betrouwbaarheidsinterval
𝑝̂ ± 𝑧(𝑠𝑠) 𝑥̅ ± 𝑡(𝑠𝑠)
(“confidence interval”)
Vrijheidsgraden (df) - 𝑑𝑑 = 𝑛 − 1
𝑝̂ (1 − 𝑝̂ ) 𝑠
Standaardfout (“standard error”) 𝑠𝑠 = � 𝑠𝑠 =
𝑛 √𝑛
𝑝̂ − 𝑝0 𝑥̅ − 𝜇0
Testwaarde (“test statistic”) 𝑧= 𝑡=
𝑠𝑠0 𝑠𝑠
𝑝0 (1 − 𝑝0 )
Exacte standaardfout 𝑠𝑠0 = � -
𝑛
Twee gemiddelden
onafhankelijke steekproeven afhankelijke steekproeven
Betrouwbaarheidsinterval (𝑥̅1 − 𝑥̅2 ) ± 𝑡(𝑠𝑠) (𝑥̅𝑑 ) ± 𝑡(𝑠𝑠)
𝑠12 𝑠 2 𝑠𝑑
Standaardfout 𝑠𝑠 = � + 2 𝑠𝑠 =
𝑛1 𝑛2 √𝑛
(𝑥̅1 − 𝑥̅2 ) − 0 (𝑥̅𝑑 ) − 0
Testwaarde 𝑡= 𝑡=
𝑠𝑠 𝑠𝑠
Vrijheidsgraden df = n1 + n2 - 2 df = n - 1
1
, Categorische variabelen
(𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔 𝑎𝑎𝑎𝑎𝑎𝑎 − 𝑣𝑣𝑣𝑣𝑣𝑣ℎ𝑡 𝑎𝑎𝑎𝑎𝑎𝑎)2
Testwaarde 𝒳2 = �
𝑣𝑣𝑣𝑣𝑣𝑣ℎ𝑡 𝑎𝑎𝑎𝑎𝑎𝑎
Vrijheidsgraden 𝑑𝑑 = (𝑟 − 1) × (𝑘 − 1)
𝑝1
Relatief risico (“relative risk”)
𝑝2
𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔𝑔 𝑎𝑎𝑎𝑎𝑎𝑎 − 𝑣𝑣𝑣𝑣𝑣𝑣ℎ𝑡 𝑎𝑎𝑎𝑎𝑎𝑎
Gestandaardiseerd residu
𝑠𝑠
Regressie
Residual sum of squares 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑆𝑆 = �(𝑦 − 𝑦�)2
Total sum of squares 𝑡𝑡𝑡𝑡𝑡 𝑆𝑆 = �(𝑦 − 𝑦�)2
Regression sum of squares 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑆𝑆 = 𝑡𝑡𝑡𝑡𝑡 𝑆𝑆 − 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑆𝑆 = �(𝑦� − 𝑦�)2
𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑆𝑆
Proportionele error reductie (= 𝑟 2 ) 𝑃𝑃𝑃 = = 𝑟 2 𝑜𝑜 𝑅 2
𝑡𝑡𝑡𝑡𝑡 𝑆𝑆
𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑆𝑆
Residu standaard deviatie 𝑦 𝑠𝑟𝑟𝑟 = �
𝑑𝑑
𝑑𝑑 = 𝑛 − (𝑘 + 1)
𝑦 − 𝑦�
Gestandaardiseerd residu
𝑠𝑠(𝑦 − 𝑦�)
Bivariate regressie Multipele regressie
Regressiemodel 𝜇𝑦 = 𝛼 + 𝛽𝛽 𝜇𝑦 = 𝛼 + 𝛽1 𝑥1 + 𝛽2 𝑥2 + ⋯ + 𝛽𝑘 𝑥𝑘
Steekproef schattingsformule 𝑦� = 𝑎 + 𝑏𝑏 𝑦� = 𝑎 + 𝑏1 𝑥1 + 𝑏2 𝑥2 + ⋯ + +𝑏𝑘 𝑥𝑘
Gelijktijdige
Afzonderlijke effecten
effecten
𝑏−0 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑆𝑆 / 𝑑𝑑1 𝑏1 − 0
Testwaarde voor H0: 𝛽 = 0 𝑡= 𝐹= 𝑡=
𝑠𝑠 𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟 𝑆𝑆/ 𝑑𝑑2 𝑠𝑠
𝑑𝑑1 = 𝑘
Vrijheidsgraden 𝑑𝑑 = 𝑛 − 2 𝑑𝑑 = 𝑛 − (𝑘 + 1)
𝑑𝑑2 = 𝑛 − (𝑘 + 1)
Betrouwbaarheidsinterval 𝛽 𝑏 ± 𝑡(𝑠𝑠) - 𝑏1 ± 𝑡(𝑠𝑠)
Betrouwbaarheidsinterval voor 𝑠𝑟𝑟𝑟 𝑠𝑟𝑟𝑟
𝑦� ± 𝑡 � � - 𝑦� ± 𝑡 � �
𝜇𝑦 voor gegeven waarde van 𝑥 √𝑛 √𝑛
Schattingsinterval (“prediction
𝑦� ± 𝑡(𝑠𝑟𝑟𝑟 ) - 𝑦� ± 𝑡(𝑠𝑟𝑟𝑟 )
interval”) voor 𝑦
Betrouwbaarheidsanalyse
Cronbach’s alfa (bij gelijke standaard 𝑘𝑟̅
𝛼=
deviaties) 1 + (𝑘 − 1)𝑟̅
2
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller DaveRom. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.35. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
85443 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now