I am having difficulty interpreting the results of a colleague. I don't know much about ANOVA other than it is a regression from classifications to floating point numbers.
From reading Gotelli's Ecological Statistics book, I have figured out more or less that the F-ratio is a step in getting the P value. The P value indicates the chance of obtaining this data if the null hypothesis were true.
I am stuck on matching that explanation with the data he provided me, shown below. I assume the Pr(>F) is the P value, but what is the hypothesis tested? Is it clear from just this?
fit <- with(divergence_slopes, aov(slopes~init_diversity + seed_population + init_diversity*seed_population)) summary(fit) Df Sum Sq Mean Sq F value Pr(>F) init_diversity 2 6.29e-14 3.146e-14 8.802 0.000228 *** seed_population 1 7.93e-14 7.925e-14 22.171 5.08e-06 *** init_diversity:seed_population 2 8.34e-14 4.171e-14 11.667 1.76e-05 *** Residuals 174 6.22e-13 3.570e-15 --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1