Results

ANOVA - Assumption Check

First, we conduct an ANOVA to test whether the number of hours spent stalking before therapy (our covariate) is independent of the type of therapy (our predictor variable). It's important to check this assumption first, because if this is not the case, the ANCOVA might be misleading.


The results below show that the main effect of group is not significant, F(1, 48) = 0.06, p = 0.804, which shows that the average level of stalking behaviour before therapy was roughly the same in the two therapy groups. In other words, the mean number of hours spent stalking before therapy is not significantly different in the cruel-to-be-kind and psychodyshamic therapy groups. This result is good news for using this model to adjust for stalking behaviour before therapy.

ANOVA - stalk_pre
Cases Sum of Squares df Mean Square F p
therapy 7.220 1 7.220 0.062 0.804
Residuals 5555.360 48 115.737  
Note.  Type III Sum of Squares


ANCOVA

The ANCOVA results show that the covariate significantly predicts the outcome variable, so the hours spent stalking after therapy depend on the extent of the initial problem (i.e. the hours spent stalking before therapy). More interesting is that after adjusting for the effect of initial stalking behaviour, the effect of therapy is significant. To interpret the results of the main effect of therapy we look at the adjusted means, which tell us that stalking behaviour was significantly lower after the therapy involving the cattle prod than after psychodyshamic therapy (after adjusting for baseline stalking).

ANCOVA - stalk_post
95% CI for ω²ₚ
Cases Sum of Squares df Mean Square F p ω²ₚ Lower Upper
therapy 480.265 1 480.265 5.490 0.023 0.082 0.000 0.258
stalk_pre 4414.598 1 4414.598 50.462 < .001 0.497 0.292 0.642
Residuals 4111.722 47 87.483  
Note.  Type III Sum of Squares

Descriptives

Descriptives - stalk_post
therapy N Mean SD SE Coefficient of variation
Cruel to be kind 25 54.960 16.331 3.266 0.297
Psychodyshamic 25 61.840 9.410 1.882 0.152

Descriptives plots

To interpret the covariate, we create a Descriptives plot with error bars of the time spent stalking after therapy (outcome variable) and the initial level of stalking (covariate) using the chart builder (above). The resulting plot below shows that there is a positive relationship between the two variables: that is, high scores on one variable correspond to high scores on the other, whereas low scores on one variable correspond to low scores on the other.

stalk_pre - stalk_post