Results

ANOVA

The ANOVA table in the output shows that the main effect of music is significant, *F*(2, 84) = 116.82, *p* < .001, as is the interaction, *F*(2, 84) = 433.28, *p* < 0.001, but the main effect of whether someone was a metal music fan, *F*(1, 84) = 0.07, *p* = 0.788. Let's look at these effects in turn by plotting the means using the *Raincloud plots* from the *Descriptives* module. Note that you can also plot the means using *Descriptives plots* tab in *ANOVA* module, but they will look less funky.



The plot of the main effect of `soundtrack` shows that the significant effect is likely to reflect the fact that the sound of an angle grinder led to (on average) highest anger than pop or metal. The table of *post hoc* tests tells us more. First, anger was significantly higher after hearing an angle grinder compared to listening to both metal and pop (in both cases the value in the column labelled *p* is less than 0.05). Levels of anger were statistically comparable after listening to pop and metal (*p* = 0.540).


The results show that the type of soundtrack listened to significantly affected ratings of anger, *F*(2, 84) = 116.82, *p* < .001,  = 0.72. Tukey *post hoc* tests revealed that anger was significantly higher after hearing an angle grinder compared to listening to both metal and pop (in both cases *p* < 0.001). Levels of anger were statistically comparable after listening to pop and metal (*p* = 0.371). The main effect of whether someone was a metal music fan was not significant, *F*(1, 84) = 0.07, *p* = 0.788,  = 0.


The effect of the soundtrack on anger was significantly moderated by whether the person was a fan of metal music, *F*(2, 84) = 433.28, *p* < 0.001,  = 0.91. Simple effects analysis revealed that (1) anger was high after listening to an angle grinder and this wasn't significantly different for fans of metal and pop music, *F*(1, 84) = 0.30, *p* = 0.586; (2) after listening to metal music anger was significantly lower for fans of metal music than for fans of pop music, *F*(1, 84) = 431.55, *p* < 0.001; and (3) after listening to pop music anger was significantly higher for fans of metal music than for fans of pop music, *F*(1, 84) = 434.79, *p* < 0.001.
ANOVA - anger
95% CI for ω²ₚ
Cases Sum of Squares df Mean Square F p ω²ₚ Lower Upper
soundtrack 20469.756 2 10234.878 116.824 < .001 0.720 0.619 0.787
fan 6.400 1 6.400 0.073 0.788 0.000 0.000 0.000
soundtrack ✻ fan 75919.267 2 37959.633 433.282 < .001 0.906 0.869 0.929
Residuals 7359.200 84 87.610  
Note.  Type III Sum of Squares

Descriptives

Descriptives plots

Post Hoc Tests

Standard (HSD)

Post Hoc Comparisons - soundtrack
Mean Difference SE df t ptukey
Angle grinder Metal 33.500 2.417 84 13.862 < .001
  Pop 30.233 2.417 84 12.510 < .001
Metal Pop -3.267 2.417 84 -1.352 0.371
Note.  P-value adjusted for comparing a family of 3 estimates.
Note.  Results are averaged over the levels of: fan
Post Hoc Comparisons - soundtrack ✻ fan - Conditional on soundtrack
soundtrack Mean Difference SE df t ptukey
Angle grinder Metalhead (Non-metalhead) -1.867 3.418 84 -0.546 0.586
Metal   (Non-metalhead) -71.000 3.418 84 -20.774 < .001
Pop   (Non-metalhead) 71.267 3.418 84 20.852 < .001
Post Hoc Comparisons - soundtrack ✻ fan - Conditional on fan
fan Mean Difference SE df t ptukey
Metalhead Angle grinder Metal 68.067 3.418 84 19.915 < .001
    Pop -6.333 3.418 84 -1.853 0.159
  Metal Pop -74.400 3.418 84 -21.768 < .001
Non-metalhead Angle grinder Metal -1.067 3.418 84 -0.312 0.948
    Pop 66.800 3.418 84 19.545 < .001
  Metal Pop 67.867 3.418 84 19.857 < .001
Note.  P-value adjusted for comparing a family of 3 estimates.

Simple Main Effects

Simple Main Effects - fan
Level of soundtrack Sum of Squares df Mean Square F p
Angle grinder 26.133 1 26.133 0.298 0.586
Metal 37807.500 1 37807.500 431.546 < .001
Pop 38092.033 1 38092.033 434.793 < .001
  1. Anger was high after listening to an angle grinder and this wasn't significantly different for fans of metal and pop music, *F*(1, 84) = 0.30, *p* = 0.586.
  2. After listening to metal music anger was significantly lower for fans of metal music than for fans of pop music, *F*(1, 84) = 431.55, *p* < 0.001.
  3. After listening to pop music anger was significantly higher for fans of metal music than for fans of pop music, *F*(1, 84) = 434.79, *p* < 0.001.


Raincloud Plots - Main Effect Soundtrack

Raincloud Plots


anger

Raincloud Plots - Main Effect Fan

Raincloud Plots

anger

Raincloud Plots - Interaction

Raincloud Plots

anger