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other ANOVAS (three way anova (analysis (Main effect of DOSE…
other ANOVAS
three way anova
example : how doess the type and amount of Christmas treats consumed affect the speed which elves and fairies diliever gifts?
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for 2 of the houses , drank sherry before work- once they had one glass once they had 2 glasses
for two of the houses they ate a mince pie , once no pie and once 2 pies
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analysis
only two levels of each repeated IV: only one set of differences for each IV, nothing to compare the variance of those differences against-
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MAIN EFFECT OF HELPER
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yes there is a significant effect of the type of helper - main effect- F(1,16)=14.4, p=.002
if we ignore the type of treat consumed and how many of these were consumed , elves and fairies differed in their delievery speeds-
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Main effect of DOSE
there was a signifigant main effect of dose - F(1,16)=232.08, p<.001
when we ignore the type of treat and whether the helper was an elf or a fairy -delievery time was slower after consuming certain amounts of treats
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MIXED ANOVA
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two way mixed ANOVA
IVs- gender of P? looks of date ? Attractive, average, ugly- ignore charisma
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check for sphericity
of the repeated IV- needs to be non signifigant- w(2), .960, p=.708
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one way anova
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Factorial Anova
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(+) advantages:
(+) ability to analyse interactions. ie drug A and drug B have no individual effects but could interact
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(+)more powerful:
adding factors can help reduce the error term by accounting for variance that would otherwise be unexplained
EXAMPLE
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ANALYSIS
output:
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breaking down the main effect : with plots
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not every plot will be the same : not every group will be significantly different to the others - got to test this!
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writeup
Which type of ANOVA did you use? what are your predictions? IV's, how many IVs and how many levels? DV?
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Is the interaction significant? yes , interpret where those differences occurred. Take one IV do the comparisons across the other IV differ within each level of IV (a)?
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Two way repeated anova
EXAMPLE
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10 p meet 9 actors who differed in looks and personality-rated them on how much they would like to see them again.
2 IVS
Personality , (lots of charisma, average charisma, no charisma)
LOOKS (attractive, average, ugly) 3 levels
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Sphericity
mauchleys test: need to meet assumption for Looks? W=.90, X2 (2) =0.81, p=.667 - assumption met
Personality?W=.85, X2(2)=1.29, p=.524
looks *personality? W=.05, X2 (9) =22.76, p=.008
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