Disclaimer: I understand that this question might be a little strange, since it isn't as much about mathematical properties of ANOVA as about its definition. This question is motivated by recent consultation of semestral paper.
ANOVA stands for ANalysis Of VAriance. Suppose I am using it on experimental data divided in several groups. Would it be correct to say that I'm conducting Analysis of Variance on my data?
Now technically, all I care about is testing the equality of means using ANOVA method. So should I instead just say that I'm testing equality of means using ANOVA?
Another question is about the ANOVA null hypothesis. From my understanding it's pretty straightforward. Unless specified otherwise, the null hypothesis states that all data is from one population (and therefore all means are equal).
And obviously the alternative hypothesis being that the data isn't from one population (and thus the means are not equal).
Do I actually need to restate this, when presenting results of the analysis?
What I'm trying to figure out, is if I just misunderstood some formality requirements or the ANOVA itself.