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====== Effect size for ANOVA ======

|           Source | Type III \\ Sum of \\ Squares  | df  | Mean \\ Square  | F        | Sig.   | Eta<sup>2</sup>  | Eta<sub>p</sub><sup>2</sup>  |
|  Corrected Model |                        280 |   5 |              56 |    3.055 |  0.036 |  0.459 |  - |
|        Intercept |                       2400 |   1 |            2400 | 130.909  |      0 |        |    |
|            DRIVE |        <fc #ff0000>24</fc> |   1 |              24 |    1.309 |  0.268 |  0.039 |  0.068 |
|           REWARD |       <fc #ff0000>112</fc> |   2 |              56 |    3.055 |  0.072 |  0.184 |  0.253 |
|   DRIVE * REWARD |       <fc #ff0000>144</fc> |   2 |              72 |    3.927 |  0.038 |  0.236 |  0.304 |
|            Error |                        330 |  18 |          18.333 |          |        |        |    |
|            Total |                       3010 | 24  |                 |          |        |        |    |
|  Corrected Total |       <fc #ff0000>610</fc> |  23 |                 |          |        |        |    |

refer to {{:effect_size.xlsx}}

===== eta square =====
__eta square (h<sup>2</sup>) value__

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

Total = 3010 = 24 + 112 + 144 + 330 + 2400 
Correct Total = <fc #ff0000>610</fc> = 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 (h<sup>2</sup><sub>p</sub>) value__

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

SS<sub>error</sub> = 330

| Effect  | SSeffect  | SSerror  | SSeffect+ SSerror  | Eta<sub>p</sub><sup>2</sup> |
| Drive  | 24  | 330  | 354  | 0.068  |
| Reward  | 112  | 330  | 442  | 0.253  |
| Reward * Drive  | 144  | 330  | 474  | 0.304  |

===== omega square =====