Hi, all)
I am a new learner in R studio. Currently using it for my Phd experiment analysis.
I have a deep understanding problem in aov formula I got from my professor. Can anyone help me to understand what the given formula means (interpretation). Thanks a loot!
data_ag.aov <- aov(x ~ group*verb*pos*lang*cong + Error(subj/(verb*pos*lang*cong)), data=data_ag)
Error: subj
Df Sum Sq Mean Sq F value Pr(>F)
group 1 0.006 0.00650 0.071 0.792
Residuals 36 3.301 0.09168
Error: subj:verb
Df Sum Sq Mean Sq F value Pr(>F)
verb 2 6.630 3.315 122.00 <2e-16 ***
group:verb 2 0.055 0.027 1.01 0.369
Residuals 72 1.957 0.027
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:pos
Df Sum Sq Mean Sq F value Pr(>F)
pos 3 0.3130 0.10434 11.83 9.29e-07 ***
group:pos 3 0.0966 0.03221 3.65 0.0149 *
Residuals 108 0.9528 0.00882
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:lang
Df Sum Sq Mean Sq F value Pr(>F)
lang 1 0.5688 0.5688 49.317 3.07e-08 ***
group:lang 1 0.0976 0.0976 8.459 0.00619 **
Residuals 36 0.4152 0.0115
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:cong
Df Sum Sq Mean Sq F value Pr(>F)
cong 1 0.6346 0.6346 20.162 7.05e-05 ***
group:cong 1 0.1253 0.1253 3.981 0.0536 .
Residuals 36 1.1332 0.0315
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:verb:pos
Df Sum Sq Mean Sq F value Pr(>F)
verb:pos 6 0.5334 0.08889 8.704 1.71e-08 ***
group:verb:pos 6 0.1052 0.01753 1.717 0.118
Residuals 216 2.2059 0.01021
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:verb:lang
Df Sum Sq Mean Sq F value Pr(>F)
verb:lang 2 0.0519 0.02595 1.777 0.176
group:verb:lang 2 0.0238 0.01189 0.814 0.447
Residuals 72 1.0511 0.01460
Error: subj:pos:lang
Df Sum Sq Mean Sq F value Pr(>F)
pos:lang 3 0.3294 0.10981 10.448 4.32e-06 ***
group:pos:lang 3 0.0731 0.02436 2.318 0.0796 .
Residuals 108 1.1352 0.01051
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:verb:cong
Df Sum Sq Mean Sq F value Pr(>F)
verb:cong 2 0.2053 0.10267 14.47 5.23e-06 ***
group:verb:cong 2 0.0065 0.00327 0.46 0.633
Residuals 72 0.5110 0.00710
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:pos:cong
Df Sum Sq Mean Sq F value Pr(>F)
pos:cong 3 1.0285 0.3428 15.903 1.24e-08 ***
group:pos:cong 3 0.0567 0.0189 0.878 0.455
Residuals 108 2.3281 0.0216
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:lang:cong
Df Sum Sq Mean Sq F value Pr(>F)
lang:cong 1 0.0196 0.01957 1.897 0.1769
group:lang:cong 1 0.0462 0.04619 4.478 0.0413 *
Residuals 36 0.3713 0.01031
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:verb:pos:lang
Df Sum Sq Mean Sq F value Pr(>F)
verb:pos:lang 6 1.2428 0.20713 16.931 5.3e-16 ***
group:verb:pos:lang 6 0.0606 0.01010 0.825 0.551
Residuals 216 2.6425 0.01223
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:verb:pos:cong
Df Sum Sq Mean Sq F value Pr(>F)
verb:pos:cong 6 0.8439 0.14066 9.637 2.14e-09 ***
group:verb:pos:cong 6 0.0401 0.00668 0.458 0.839
Residuals 216 3.1525 0.01460
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:verb:lang:cong
Df Sum Sq Mean Sq F value Pr(>F)
verb:lang:cong 2 0.2720 0.13601 15.445 2.62e-06 ***
group:verb:lang:cong 2 0.0784 0.03919 4.451 0.015 *
Residuals 72 0.6340 0.00881
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Error: subj:pos:lang:cong
Df Sum Sq Mean Sq F value Pr(>F)
pos:lang:cong 3 0.0353 0.01177 0.815 0.488
group:pos:lang:cong 3 0.0429 0.01431 0.991 0.400
Residuals 108 1.5601 0.01445
Error: subj:verb:pos:lang:cong
Df Sum Sq Mean Sq F value Pr(>F)
verb:pos:lang:cong 6 0.844 0.14060 9.338 4.16e-09 ***
group:verb:pos:lang:cong 6 0.123 0.02046 1.359 0.232
Residuals 216 3.252 0.01506
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1