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Summary Exam questions answers

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  • November 4, 2018
  • 10
  • 2018/2019
  • Summary
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Factor analysis:

Type
- Independent
- Multivarivte

Fvctoar vnvlysis : Confarmvtoary vnvlysis
Exploarvtoary vnvlysis: R type = garoups difearent ivarivbles into fvctoars
Q type = garoups difearent cvses into clustears

Input & sample
- Intearivl/arvto
- Semvntc/Likeart scvle
- 3-5 items pear fvctoar
- Pvarsimonious (economicvl)
- Gvarbvge in – gvarbvge out: only areleivnt items
- Min 100 arespondents
- 10:1 arvto
- High cvse-to-ivarivble arvto: no oiearfing

Objectie
- Dvtv areducton
- Find vn undearlying dimension in the dvtv

Type explanaton
- Exploarvtoary: parincipvl component vnvlysis.
The fvctoar is v linevar combinvton of stvndvardized oariginvl scoares
F1 = A1X1 + A2X2 + … + ANXN
The oariginvl scoares hvie v weight =>
Fvctoar = weighted index of oariginvl scoares (foar exvmple; consumear parices index)

- Confarmvtoary vnvlysis: tarue fvctoar vnvlysis.
The obsearied ivarivble (x1) mevsuares pvart of the undearlying lvtent ivarivble (F1) + eararoar.
A lvtent ivarivble cvn’t be mevsuared by just one queston(, foar exvmple pearsonvlity). You hvie to vsk
difearent questons in oardear to fnd the pearsonvlity.
X1 = A1F1 + E1
X2 = A2F2 + E2

Eieary obsearied ivarivble hvs v weight, this weight shows how well it areparesents the lvtent ivarivble.
So the oariginvl scoare = lovding on v fvctoar + eararoar

Factor extracton metthod
- Totvl ivarivnce is common ivarivnce
- Vvarivnce between 2 objects = squvared coararelvton

Diferences:
 Totvl ivarivnce => parincipvl component vnvlysis:
It uses the totvl ivarivnce & it is to areduce the dvtv

 Common ivarivnce => common fvctoar vnvlysis:
It uses the common ivarivnce & it is used to fnd vn undearlying dimension (lvtent
dimensionvlity)

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