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effect_size_for_anova

Effect size for ANOVA

Source Type III
Sum of
Squares
df Mean
Square
F Sig. Eta2 Etap2
Corrected Model 280 5 56 3.055 0.036 0.459 -
Intercept 2400 1 2400 130.909 0
DRIVE 24 1 24 1.309 0.268 0.039 0.068
REWARD 112 2 56 3.055 0.072 0.184 0.253
DRIVE * REWARD 144 2 72 3.927 0.038 0.236 0.304
Error 330 18 18.333
Total 3010 24
Corrected Total 610 23

refer to effect_size.xlsx

eta square

eta square (h2) value

$ \eta^{2} = \displaystyle \frac {\text{SS}_{\text{treatment}}} {\text{SS}_{\text{total}}} $

Total = 3010 = 24 + 112 + 144 + 330 + 2400
Correct Total = 610 = 24 + 112 + 144 + 330
We use corrected total, 610:

DRIVE: 24/610 = 0.039344262 = 0.039
REWARD: 112/610 = 0.183606557 = 0.184
DRIVE*REWARD: 144/610 = 0.236065574 = 0.236
SUM: 0.46

46% of dependent variable is accounted for by the IVs.

partial eta square

partial eta square (h2p) value

$ \eta_{p}^{2} = \displaystyle \frac {\text{SS}_{\text{effect}}} {\text{SS}_{\text{effect}} + \text{SS}_{\text{error}} } $

SSerror = 330

Effect SSeffect SSerror SSeffect+ SSerror Etap2
Drive 24 330 354 0.068
Reward 112 330 442 0.253
Reward * Drive 144 330 474 0.304

omega square

effect_size_for_anova.txt · Last modified: 2018/06/11 08:47 by hkimscil

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