For each time period, calculates the number of adopters, the proportion of adopters, and the adoption rate.
cumulative_adopt_count(obj)
Arguments
obj: A n∗T matrix (Cumulative adoption matrix obtained from toa_mat) or a diffnet object.
Returns
A 3∗T matrix, where its rows contain the number of adoptes, the proportion of adopters and the rate of adoption respectively, for earch period of time.
Details
The rate of adoption--returned in the 3rd row out the resulting matrix--is calculated as
qt−1qt−qt−1[q(t)−q(t−1)]/q(t−1)
where q(i) is the number of adopters in time t. Note that it is only calculated fot t>1.