Statistiek II: Verklaren en voorspellen (FSWPE2022)
Summary
Detailed Summary: Lectures and Readings STATISTICS 2.2 FSWPE2-022
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Module
Statistiek II: Verklaren en voorspellen (FSWPE2022)
Institution
Erasmus Universiteit Rotterdam (EUR)
Book
Craig, B: Introduction to the Practice of Statistics
Very detailed document covering all exam relevant topics including examples and graphics. Lectures and readings are combined into one cohesive document. Covers all the mandatory sources of this course.
Extensive summary Craig, B: Introduction to the Practice of Statistics - Statistics
Summary Lectures and Readings: Statistics 1 - Introduction (FSWPE1-032)
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Statistiek II: Verklaren en voorspellen (FSWPE2022)
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| n f e r e n c e f O r
P r ◦ o r t i O n s
p
m m c c +, •
Large Sample Confidence internat for a population proportion
( Moose an SRS Of Size n from a large population with an unknown Proportion p of Success es
The Sample proportion is :
ß ¥
Innere ✗ is the humber of Success es .
The Standard error of B is SEß JFPFÖn
Ä
Pn
'
B
* *
margin Of is SEß
-
☐ no the error of at Confidence level C m =
2- = 2- 7
*
IN nere the Critical Valve 2- is the Value for the Standard Normal ☐ ensity Curve with area C
* *
between 2- ☐ na 2- .
An approximierte level C Confidence internat for p is ß± m
* * *
Use this intervall for 90% 2- -
1.645.95% 2- -
1.96 .
Or 99% 2- 2.576 Confidence when the humber
Of Success es ☐ no nvmber Of failure s are ☐ 0th at least to .
ve r wo r r e n e r w w w.t e
Confidence Intervalls based on large sample approacnofleninaccvraewnennumrerotsvccess.es and
failure ☐ rent botn at least to .
•
simple cicljvstments ; ☐ ssvming that Sample contains tour additional
Observations : HNO Successes ☐ no two failure s '
Agresti -
con est imac :
F¥ B± 2- * NÄF
SignifikanteFLVVTJimgleepmonpvthomitocakuc.it plus for
-
Confidence internat
for P
Large sample significcince
-
test for ☐ Population proportion
SRS Of Size n from large population with UMKMOINM Proportion P Of Success es .
Ä Po
TO test the nypotnesis Ho :p =
Po , Compute the Z Statistics :
2- pol , -
po
n
variable P
Interims of a Standard Normal random Z the approximierte Value for test of Ho against
-
.
""
Ha :p po is P Z ≥ 2- ÄError Large
-
sample 2- significance lest recommenclect
Ha :p < po is P 2- ≤ 2- Äh as long as expect.CI humber of Success , npo ,
☐ na
FEE
" "
Ha :p / po is 2012-712-1 fciwres.nu -
po ) ☐ rebotncitleastlcimmmnmhg Bh 90
Nummerischwww.nedhangimayermar
Level C Confidence internat for proportion p will have margin of error ☐ pproximcitety equal to ☐ specific
2
*
2-
Valve M When the Sample Size scitisfies n= Pt -
p
*
m
*
>
2-
*
Critical Valve for Confidence level C ☐ na p is Gvessecl Value for the proportion of
Successes in the future sample .
*
The margin of error will be less than or equal to m if P is cnosen to be 0.5 into the
formula above
gives : n
=L ¥2
Choo Sing Sample Size for a Sign .
test : !
sicnificcince level Cl vsvally 0.05 Power Prob Of rejecting Ho Innen it is false VSUGIIY 80%10.80) for power
• *
: .
:
-
Value of Po in the null hypotheseis Ho =p =p •
alternative hypotnesis ,
2- siciec ( Ha :p =/ p . )
One sictcd ( Ha :p >
po or Ha :p < po) Value of P for the alternative hypothese is
-
-
, C O m r I M G t IN o t O S
p ☐
p
r o p o r I n
Large Sample Confidence internat for Comp☐ ring HNO proportions :
cnoose ☐n SRS Of Size Ms from a large population having proportion pn Of Successes ☐ no o n independent
SRS Of Size Mz from ☐ not ner population having , proportion pz Of Success es
Estimcited difference in Population proportion s is :
D PI PI
The Standard Error Of D is : SED
'
Pitt Pi )-
Rz II -
Rz )
*
☐ no Margin of error of D for Confidence level C is m -
2- SED
*
innere the Critical Valve 2- is the Value for the Standard Normal density Curve with area C between
* *
2- ☐ ncl 2- .
Alexei C large -
Sample Confidence internat for Ps
-
Pz is : DEM
NominiertenFehlernaehrung 2
proportioniert
TO test the hypo thesis : Ho :
Ps =p ,
Ä -
PI
Computer the 2- Statistics 2- =
SEDP
IN here the POOKOI Standard Error is
SF-ip-NPI-pn.it ,
✗ + ✗2
estimcite Of pz is D=
^
☐ ncl IN here the pooted the Commons Value of Pn ☐ na
hr + MZ
Ha :p Pa is P Z ≥ 2- £ "" "
" "" "" " " " Peeta humber of successe s ☐ n a,
,
Ha :
A. < Da is P 2- ≤ 2- 4- faiivres in each Sample ☐
reatfm-n5.TW/- µ
Ha :p / is zp , z ≥ , z ,
.
pa E-
Mehrwertsteuerverdrehte
Level C Confidence intervall for ☐ clifference in TINO proportion s Will have a margin of error approximativ lava
to ☐ specific Value im innen Sample Size for each of the TINO proportion s is :
2
*
2-
n =
m
PI 1- p ? + PI 1- PI
Here ,
2-
* :
Critical Value for C and PI and PI are qvessect Hawes for piano pz ( Success es in future Sample
The margin of error INN be less than or equal to m if pfand PI are cnosen to be 0.5
* 2
f-
2-
the Commons Sample Size revised is then given by n = → Use
requires at least to tails + Success es
m
r e i a t i r e r i s k :
the CHIO Of two Sample Proportion S RR =
Ä
Rz
Confidence Intervalls for relative risk are Otten Used to summarize Campari son of 2 proportion s
,conduit.my/thivaeneseanehNUremberg Code :
Set of ethical Principles essential for a medical experiment to be
"
per missio e
"
con Sent most be Voluntary + free to without from Stray at any time
•
prior to Giving consent should be informell about pur pose + Potential risks
•
.
ICH vnnecessciry risks should be ☐ Void ed
Stvo y should yiekl results whose benefit to Society out Weichs risks Portici Ponts
'
to
Only Quali fiecl Scientists should Conduct the research
-
Belmont Report :
ethics COCK that providers the foundation for U.s. federal regulations Governing research on humans
'
such research Called :
human Subject s research
Principles and Guidelines : 1.
respect for persons 2. Den eficence 3. justice from : those Principles ,
Bet man Report
derNeo
guidelines for :
Obtaining conSent from portici ponts .
☐ssessingrisks + benefit s of Project +
selectingppl.in just INCH
American Psychologie at Associations APA) Ethics Code : ☐ escri Des General ethical Principles and specific ethical
standards to Guide psycnologist 's Professional behavior
General Principles :
Beneficience ☐ na nonmaleficience beneficience Means that Psycho 109 ists should Stine to benefit
•
:
those With IN nom they work ; Normale ficence Psych Should :
. be Core tut not to Cause harm
Fidelity Psych Should behave in Citrus HNO rtny Mannes ; Responsibility in 40111 es ☐ an ering professional Codes
-
:
.
:
to
Of Conduct and not exploring people
'
Integrity psych
:
.
De honest and trvtnfvl ☐ no not engage in fraud ; Justice Calls upon psych
:
.
to recognize that
the benefits of research should be mache ☐Vail ab k to all Persons
Respect for people's rights and dignity respect respect dignity :
and North Of all people and the rights
-
:
Of individual s to Privacy Confidential it 4 and Self determination
-
,
Deception :
with holding information or miste Going people in Ways that Might influence their ckcision to portici pale
> ethical / y Controller sich but , all 01N ed under Limited Conditions + to rechte PPI ☐ ctingunnatvrallyclvringstuc.ly
Debriefing :
Occvrs at conclvsion Of research Session ; Investigator s provider Partie IN itn more.
Complete information
about nature of the Stray ex Plains any ,
☐ eoeptions ☐ na ☐ Overse effects part Maybe .
experiencing
Animal research :
nos con tribute a to some of Psychology 's most im D. cliscoieries : ☐ EDGE over IN nether ☐no
when animal research is ethical Centers around Question of IN nether animal s have Moral stand in g
'
3 ethical perspectives :
Innere nt rights utilitaricinism ,
☐ no Pro
-
Use
Psycho 10cg ists IN no Conduct animal research mvst ☐ ☐ here to APA's ethics standards and güternmental
regulations .
LACU Cs review IN nether proposed animal research Comp lies with tnese regulation
Most Standards ☐ no regulations per tain to three principles ,
Known as the Three RS
'
Three Rs reduction refinement :
,
and re Placement
Psych 0104 ists are Obligatea to CNOICI false ☐ na cleceptiite statements incl those regard Ing their research find inqs
,
.
,
Publications + are as of expertise i no piagicrism innen IN riting papers +
citinq Sources properly
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