4 ms·
Exponential curves have a constant derivative. Logistic (S) curves have a decreasing derivative. If you look closely, you can begin to distinguish the curves
by lotharbot 12y ago
Exponential curves have a constant derivative. Logistic (S) curves have a decreasing derivative. If you look closely, you can begin to distinguish the curves at around the 25% mark. Maybe even lower, if the data is really clean.
- andrewflnr 12y agoNot exactly. Exponential curves have exponential derivatives.
- lotharbot 12y agoYou are correct. Or as I should have stated it, exponential curves have derivatives in constant proportion to the curve -- so if you look at the change vs the current value, it will be a constant ratio. With a logistic (S) curve, the ratio of the change to the current value will decrease. By the time you get to around 25% of the maximum value, the difference should be visible.