Comparing means with a one-factor analysis of variance (ANOVA)

In the previous movies, we looked at how to use the t-test to compare the means…of either two different groups or the means…of the one group over two points in time.…In this movie, we're going to look at the one-way analysis of…variance or one-factor ANOVA, also an…extremely common measure in inferential statistics.…Like we did with the para t-test, we're going…to use some randomly generated data for this exercise.…What I'm going to do,…is I'm going to create four variables x1 through x4 and each one of…them will be sampled at random from…a normal distribution, that's the r norm function.…

I'm want to get 30 cases for each and I'm specifying…the means as 40, 41 and then two at 45.…And then the standard deviation is going to be 8, all the way across.…And so, there are differences. But they're small.…Now, I should mention that if you actually…calculated the one-way analysis of variance using…these summary values which you can do.…You would get this result an f of 3 and 116 degrees…of freedom is equal to 3.24 and a probability value of point 0.25.…