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  3. University Of Cape Town (UCT)
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  5. STA2005S (STA2005S)

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Summary STA2005S: Contrats
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A detailed and understandable summary of the contrasts chapter for STA2005S. High quality pdf for printing. Contains examples for each concept. Clearly explained so you can go straight into examples, instead of trying to understand the complicated lecture notes. Perfect for exam revision

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  • February 8, 2022
  • 4
  • 2021/2022
  • Summary

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Contrasts


we conduct
hypothesis tests ,

to see if Ho :L, =
dz = . ..
=
✗a = 0 (treatment effects = 0 )


we
perform further
analysis using contrasts .




Compare treatment
>
means
>
test for size of differences between treatments
>
see if interactions
any treatment
effects
treatment
means


f
^




Definition : A linear combo of parameters ( ✗i or Mi )

h =
Ihi .
Chi or
Mi ) such that Shi = 0


L v


coefficients coefficients sum to aero
of parameter
terms ie
) µ A Ups -
= 0


Shi = (1) + C- 1)

=
0 ✓✓

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