Results

ANOVA

The means (Descriptives - injury) suggest that children wearing a Ninja Turtle costume had the least severe injuries (M = 26.25), whereas children wearing a Superman costume had the most severe injuries (M = 60.33). Let’s assume we’re using 𝛼=0.05. In the ANOVA output (we should routinely look at the robust Fs.), the observed significance value is much less than 0.05 and so we can say that there was a significant effect of superhero costume on injury severity (below). At this stage we still do not know exactly what the effect of superhero costume was (we don’t know which groups differed).


Because there were no specific hypotheses, only that the groups would differ, we can’t look at planned contrasts but we can conduct some post hoc tests. The output (Post Hoc Comparisons - hero) tells us that wearing a Superman costume was significantly different from wearing either a Hulk or Ninja Turtle costume in terms of injury severity, but that none of the other groups differed significantly.

The post hoc test has shown us which differences between means are significant; however, if we want to see the direction of the effects we can look back to the means in the table of descriptives,or (even better) visualize the means by using a Descriptives plot or Raincloud plot. We can conclude that wearing a Superman costume resulted in significantly more severe injuries than wearing either a Hulk or a Ninja Turtle costume (note that overlap of confidence intervals in a descriptives plot is not identical to (non-)signicance in post hoc tests).

ANOVA - injury
95% CI for ω²
Homogeneity Correction Cases Sum of Squares df Mean Square F p ω² Lower Upper
Welch hero 4180.617 3.000 1393.539 7.100 0.005 0.423 0.093 0.615
Residuals 4356.583 13.018 334.648  
Note.  Type III Sum of Squares

Descriptives

Descriptives - injury
hero N Mean SD SE Coefficient of variation
Superman 6 60.333 17.851 7.288 0.296
Spiderman 8 41.625 12.212 4.317 0.293
Hulk 8 35.375 13.384 4.732 0.378
Ninja Turtle 8 26.250 8.155 2.883 0.311

Descriptives plots

Raincloud plots

injury

Post Hoc Tests


Standard (HSD)

Post Hoc Comparisons - hero
Mean Difference SE df t Cohen's d ptukey
Superman Spiderman 18.708 6.991 26 2.676 1.445 0.058
  Hulk 24.958 6.991 26 3.570 1.928 0.007 **
  Ninja Turtle 34.083 6.991 26 4.875 2.633 < .001 ***
Spiderman Hulk 6.250 6.472 26 0.966 0.483 0.770
  Ninja Turtle 15.375 6.472 26 2.376 1.188 0.107
Hulk Ninja Turtle 9.125 6.472 26 1.410 0.705 0.505
 ** p < .01, *** p < .001
Note.  P-value adjusted for comparing a family of 4 estimates.