Tests of Constant Diversification Rates
This function computes two tests of the distribution of branching
times using the
z): in this case,
be of the same length. See the examples for how to compute the latter
from a sample of expected branching times.
diversi.gof(x, null = "exponential", z = NULL)
The distributions of both test statistics depend on the null hypothesis, and on whether or not some parameters were estimated from the data. However, these distributions are not known precisely and critical values were determined by Stephens (1974) using simulations. These critical values were used for the present function.
A NULL value is returned, the results are simply printed.
Paradis, E. (1998) Testing for constant diversification rates using molecular phylogenies: a general approach based on statistical tests for goodness of fit. Molecular Biology and Evolution, 15, 476--479.
Stephens, M. A. (1974) EDF statistics for goodness of fit and some comparisons. Journal of the American Statistical Association, 69, 730--737.
data(bird.families) x <- branching.times(bird.families) ### suppose we have a sample of expected branching times `y'; ### for simplicity, take them from a uniform distribution: y <- runif(500, 0, max(x) + 1) # + 1 to avoid A2 = Inf ### now compute the expected cumulative distribution: x <- sort(x) N <- length(x) ecdf <- numeric(N) for (i in 1:N) ecdf[i] <- sum(y <= x[i])/500 ### finally do the test: diversi.gof(x, "user", z = ecdf)