Here, we’ll test whether there’s a statistically significant effect of condition on social dominance orientation, whether there’s a stastistically significant effect of political party on social dominance orientation, and whether there’s an interaction between condition and political party in their combined effect on social dominance orientation
Condition_x_SDO_PP <- aov(SocialDominance ~ Condition * PoliticalParty, na.action=na.exclude, data= analysis_data)
summary(Condition_x_SDO_PP)## Df Sum Sq Mean Sq F value Pr(>F)
## Condition 2 5.30 2.650 1.510 0.227418
## PoliticalParty 4 44.51 11.127 6.340 0.000183 ***
## Condition:PoliticalParty 5 6.43 1.286 0.733 0.601171
## Residuals 77 135.14 1.755
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1To report an ANOVA properly, you’ll need the following values for each of the independent variables, and the iteraction effect (in the example above, this is “Condition:PoliticalParty”): p-value (Pr(>F)), the F-value, the between-groups degrees of freedom (Df x Independent Variable), and the within-groups degrees of freedom (Df x Residuals) You’ll also need the grouped means and the grouped standard deviations (which you’ll need to calculate yourself; see descriptive statistics page).
If you get a statistically significant result, you should also run a Tukey post-hoc analysis:
Condition_x_SDO_PP_Tukey <- TukeyHSD(Condition_x_SDO_PP)
Condition_x_SDO_PP_Tukey## Tukey multiple comparisons of means
## 95% family-wise confidence level
##
## Fit: aov(formula = SocialDominance ~ Condition * PoliticalParty, data = analysis_data, na.action = na.exclude)
##
## $Condition
## diff lwr upr p adj
## 1-0 -0.0237069 -0.8482079 0.8007941 0.9974002
## 2-0 0.5041667 -0.3133172 1.3216505 0.3090402
## 2-1 0.5278736 -0.2966274 1.3523746 0.2826318
##
## $PoliticalParty
## diff lwr upr p adj
## Another party (please specify)- -2.9902299 -7.52276943 1.542310 0.3569520
## Democrat- -2.4395740 -6.18038685 1.301239 0.3687509
## Independent voter- -1.7994885 -5.57358189 1.974605 0.6723134
## Republican- -0.6166284 -4.43880130 3.205545 0.9913134
## Democrat-Another party (please specify) 0.5506559 -2.12249006 3.223802 0.9782835
## Independent voter-Another party (please specify) 1.1907414 -1.52878235 3.910265 0.7379962
## Republican-Another party (please specify) 2.3736015 -0.41226179 5.159465 0.1318700
## Independent voter-Democrat 0.6400855 -0.27946640 1.559637 0.3031311
## Republican-Democrat 1.8229456 0.72258168 2.923310 0.0001404
## Republican-Independent voter 1.1828602 -0.02581706 2.391537 0.0580867
##
## $`Condition:PoliticalParty`
## diff lwr
## 1:-0: NA NA
## 2:-0: NA NA
## 0:Another party (please specify)-0: NA NA
## 1:Another party (please specify)-0: -2.375000000 -8.93989195
## 2:Another party (please specify)-0: -3.125000000 -9.68989195
## 0:Democrat-0: -2.265625000 -7.05057114
## 1:Democrat-0: -2.414473684 -7.17714688
## 2:Democrat-0: -2.272727273 -7.12122130
## 0:Independent voter-0: -1.984375000 -6.90804396
## 1:Independent voter-0: -2.291666667 -7.65187850
## 2:Independent voter-0: -1.089285714 -5.89429461
## 0:Republican-0: -1.200000000 -6.28514344
## 1:Republican-0: -0.291666667 -5.30568571
## 2:Republican-0: 0.093750000 -5.09625279
## 2:-1: NA NA
## 0:Another party (please specify)-1: NA NA
## 1:Another party (please specify)-1: NA NA
## 2:Another party (please specify)-1: NA NA
## 0:Democrat-1: NA NA
## 1:Democrat-1: NA NA
## 2:Democrat-1: NA NA
## 0:Independent voter-1: NA NA
## 1:Independent voter-1: NA NA
## 2:Independent voter-1: NA NA
## 0:Republican-1: NA NA
## 1:Republican-1: NA NA
## 2:Republican-1: NA NA
## 0:Another party (please specify)-2: NA NA
## 1:Another party (please specify)-2: NA NA
## 2:Another party (please specify)-2: NA NA
## 0:Democrat-2: NA NA
## 1:Democrat-2: NA NA
## 2:Democrat-2: NA NA
## 0:Independent voter-2: NA NA
## 1:Independent voter-2: NA NA
## 2:Independent voter-2: NA NA
## 0:Republican-2: NA NA
## 1:Republican-2: NA NA
## 2:Republican-2: NA NA
## 1:Another party (please specify)-0:Another party (please specify) NA NA
## 2:Another party (please specify)-0:Another party (please specify) NA NA
## 0:Democrat-0:Another party (please specify) NA NA
## 1:Democrat-0:Another party (please specify) NA NA
## 2:Democrat-0:Another party (please specify) NA NA
## 0:Independent voter-0:Another party (please specify) NA NA
## 1:Independent voter-0:Another party (please specify) NA NA
## 2:Independent voter-0:Another party (please specify) NA NA
## 0:Republican-0:Another party (please specify) NA NA
## 1:Republican-0:Another party (please specify) NA NA
## 2:Republican-0:Another party (please specify) NA NA
## 2:Another party (please specify)-1:Another party (please specify) -0.750000000 -7.31489195
## 0:Democrat-1:Another party (please specify) 0.109375000 -4.67557114
## 1:Democrat-1:Another party (please specify) -0.039473684 -4.80214688
## 2:Democrat-1:Another party (please specify) 0.102272727 -4.74622130
## 0:Independent voter-1:Another party (please specify) 0.390625000 -4.53304396
## 1:Independent voter-1:Another party (please specify) 0.083333333 -5.27687850
## 2:Independent voter-1:Another party (please specify) 1.285714286 -3.51929461
## 0:Republican-1:Another party (please specify) 1.175000000 -3.91014344
## 1:Republican-1:Another party (please specify) 2.083333333 -2.93068571
## 2:Republican-1:Another party (please specify) 2.468750000 -2.72125279
## 0:Democrat-2:Another party (please specify) 0.859375000 -3.92557114
## 1:Democrat-2:Another party (please specify) 0.710526316 -4.05214688
## 2:Democrat-2:Another party (please specify) 0.852272727 -3.99622130
## 0:Independent voter-2:Another party (please specify) 1.140625000 -3.78304396
## 1:Independent voter-2:Another party (please specify) 0.833333333 -4.52687850
## 2:Independent voter-2:Another party (please specify) 2.035714286 -2.76929461
## 0:Republican-2:Another party (please specify) 1.925000000 -3.16014344
## 1:Republican-2:Another party (please specify) 2.833333333 -2.18068571
## 2:Republican-2:Another party (please specify) 3.218750000 -1.97125279
## 1:Democrat-0:Democrat -0.148848684 -1.72395479
## 2:Democrat-0:Democrat -0.007102273 -1.82528753
## 0:Independent voter-0:Democrat 0.281250000 -1.72882944
## 1:Independent voter-0:Democrat -0.026041667 -2.94661938
## 2:Independent voter-0:Democrat 1.176339286 -0.52248790
## 0:Republican-0:Democrat 1.065625000 -1.31273306
## 1:Republican-0:Democrat 1.973958333 -0.24826810
## 2:Republican-0:Democrat 2.359375000 -0.23562639
## 2:Democrat-1:Democrat 0.141746411 -1.61698722
## 0:Independent voter-1:Democrat 0.430098684 -1.52636897
## 1:Independent voter-1:Democrat 0.122807018 -2.76113482
## 2:Independent voter-1:Democrat 1.325187970 -0.30985336
## 0:Republican-1:Democrat 1.214473684 -1.11875014
## 1:Republican-1:Democrat 2.122807018 -0.05104593
## 2:Republican-1:Democrat 2.508223684 -0.04547532
## 0:Independent voter-2:Democrat 0.288352273 -1.86863732
## 1:Independent voter-2:Democrat -0.018939394 -3.04250664
## 2:Independent voter-2:Democrat 1.183441558 -0.68690562
## 0:Republican-2:Democrat 1.072727273 -1.43102428
## 1:Republican-2:Democrat 1.981060606 -0.37488401
## 2:Republican-2:Democrat 2.366477273 -0.34391329
## 1:Independent voter-0:Independent voter -0.307291667 -3.44999442
## 2:Independent voter-0:Independent voter 0.895089286 -1.16229261
## 0:Republican-0:Independent voter 0.784375000 -1.86201755
## 1:Republican-0:Independent voter 1.692708333 -0.81430119
## 2:Republican-0:Independent voter 2.078125000 -0.76455660
## 2:Independent voter-1:Independent voter 1.202380952 -1.75095193
## 0:Republican-1:Independent voter 1.091666667 -2.29842896
## 1:Republican-1:Independent voter 2.000000000 -1.28244597
## 2:Republican-1:Independent voter 2.385416667 -1.16003020
## 0:Republican-2:Independent voter -0.110714286 -2.52918240
## 1:Republican-2:Independent voter 0.797619048 -1.46748387
## 2:Republican-2:Independent voter 1.183035714 -1.44877605
## 1:Republican-0:Republican 0.908333333 -1.90258546
## 2:Republican-0:Republican 1.293750000 -1.82025167
## 2:Republican-1:Republican 0.385416667 -2.61103284
## upr p adj
## 1:-0: NA NA
## 2:-0: NA NA
## 0:Another party (please specify)-0: NA NA
## 1:Another party (please specify)-0: 4.189892 0.9940772
## 2:Another party (please specify)-0: 3.439892 0.9362616
## 0:Democrat-0: 2.519321 0.9387444
## 1:Democrat-0: 2.348200 0.9001486
## 2:Democrat-0: 2.575767 0.9432202
## 0:Independent voter-0: 2.939294 0.9837378
## 1:Independent voter-0: 3.068545 0.9728491
## 2:Independent voter-0: 3.715723 0.9999670
## 0:Republican-0: 3.885143 0.9999463
## 1:Republican-0: 4.722352 1.0000000
## 2:Republican-0: 5.283753 1.0000000
## 2:-1: NA NA
## 0:Another party (please specify)-1: NA NA
## 1:Another party (please specify)-1: NA NA
## 2:Another party (please specify)-1: NA NA
## 0:Democrat-1: NA NA
## 1:Democrat-1: NA NA
## 2:Democrat-1: NA NA
## 0:Independent voter-1: NA NA
## 1:Independent voter-1: NA NA
## 2:Independent voter-1: NA NA
## 0:Republican-1: NA NA
## 1:Republican-1: NA NA
## 2:Republican-1: NA NA
## 0:Another party (please specify)-2: NA NA
## 1:Another party (please specify)-2: NA NA
## 2:Another party (please specify)-2: NA NA
## 0:Democrat-2: NA NA
## 1:Democrat-2: NA NA
## 2:Democrat-2: NA NA
## 0:Independent voter-2: NA NA
## 1:Independent voter-2: NA NA
## 2:Independent voter-2: NA NA
## 0:Republican-2: NA NA
## 1:Republican-2: NA NA
## 2:Republican-2: NA NA
## 1:Another party (please specify)-0:Another party (please specify) NA NA
## 2:Another party (please specify)-0:Another party (please specify) NA NA
## 0:Democrat-0:Another party (please specify) NA NA
## 1:Democrat-0:Another party (please specify) NA NA
## 2:Democrat-0:Another party (please specify) NA NA
## 0:Independent voter-0:Another party (please specify) NA NA
## 1:Independent voter-0:Another party (please specify) NA NA
## 2:Independent voter-0:Another party (please specify) NA NA
## 0:Republican-0:Another party (please specify) NA NA
## 1:Republican-0:Another party (please specify) NA NA
## 2:Republican-0:Another party (please specify) NA NA
## 2:Another party (please specify)-1:Another party (please specify) 5.814892 1.0000000
## 0:Democrat-1:Another party (please specify) 4.894321 1.0000000
## 1:Democrat-1:Another party (please specify) 4.723200 1.0000000
## 2:Democrat-1:Another party (please specify) 4.950767 1.0000000
## 0:Independent voter-1:Another party (please specify) 5.314294 1.0000000
## 1:Independent voter-1:Another party (please specify) 5.443545 1.0000000
## 2:Independent voter-1:Another party (please specify) 6.090723 0.9997646
## 0:Republican-1:Another party (please specify) 6.260143 0.9999584
## 1:Republican-1:Another party (please specify) 7.097352 0.9787317
## 2:Republican-1:Another party (please specify) 7.658753 0.9366025
## 0:Democrat-2:Another party (please specify) 5.644321 0.9999982
## 1:Democrat-2:Another party (please specify) 5.473200 0.9999998
## 2:Democrat-2:Another party (please specify) 5.700767 0.9999986
## 0:Independent voter-2:Another party (please specify) 6.064294 0.9999571
## 1:Independent voter-2:Another party (please specify) 6.193545 0.9999997
## 2:Independent voter-2:Another party (please specify) 6.840723 0.9748609
## 0:Republican-2:Another party (please specify) 7.010143 0.9908503
## 1:Republican-2:Another party (please specify) 7.847352 0.8033291
## 2:Republican-2:Another party (please specify) 8.408753 0.6822084
## 1:Democrat-0:Democrat 1.426257 1.0000000
## 2:Democrat-0:Democrat 1.811083 1.0000000
## 0:Independent voter-0:Democrat 2.291329 0.9999999
## 1:Independent voter-0:Democrat 2.894536 1.0000000
## 2:Independent voter-0:Democrat 2.875166 0.5039798
## 0:Republican-0:Democrat 3.443983 0.9600802
## 1:Republican-0:Democrat 4.196185 0.1370999
## 2:Republican-0:Democrat 4.954376 0.1149861
## 2:Democrat-1:Democrat 1.900480 1.0000000
## 0:Independent voter-1:Democrat 2.386566 0.9999773
## 1:Independent voter-1:Democrat 3.006749 1.0000000
## 2:Independent voter-1:Democrat 2.960229 0.2486810
## 0:Republican-1:Democrat 3.547698 0.8809126
## 1:Republican-1:Democrat 4.296660 0.0626544
## 2:Republican-1:Democrat 5.061923 0.0593673
## 0:Independent voter-2:Democrat 2.445342 1.0000000
## 1:Independent voter-2:Democrat 3.004628 1.0000000
## 2:Independent voter-2:Democrat 3.053789 0.6519706
## 0:Republican-2:Democrat 3.576479 0.9723557
## 1:Republican-2:Democrat 4.337005 0.1993344
## 2:Republican-2:Democrat 5.076868 0.1551205
## 1:Independent voter-0:Independent voter 2.835411 1.0000000
## 2:Independent voter-0:Independent voter 2.952471 0.9685856
## 0:Republican-0:Independent voter 3.430768 0.9992558
## 1:Republican-0:Independent voter 4.199718 0.5467739
## 2:Republican-0:Independent voter 4.920807 0.4114124
## 2:Independent voter-1:Independent voter 4.155714 0.9822072
## 0:Republican-1:Independent voter 4.481762 0.9981831
## 1:Republican-1:Independent voter 5.282446 0.7077990
## 2:Republican-1:Independent voter 5.930864 0.5527040
## 0:Republican-2:Independent voter 2.307754 1.0000000
## 1:Republican-2:Independent voter 3.062722 0.9954608
## 2:Republican-2:Independent voter 3.814847 0.9590259
## 1:Republican-0:Republican 3.719252 0.9981151
## 2:Republican-0:Republican 4.407752 0.9787493
## 2:Republican-1:Republican 3.381866 1.0000000You won’t need to report any of these numbers, but you will need to report which condition comparisons get statistically significant results.