Fermusic is entirely correct. Dithering is necessary only for going from 24 bits to 16 bits. From 32 floating point to 24 bit dithering is not required. Only for going to 16 bit.
So, if you are going to have your product professionally mastered, give them 24 bit audio files. Let them dither, if even then. If your product does not leave the realm of a computer, keep it at 24 bit. If it goes to SACD or another 24 bit audio device, Blu-Ray or whatnot, keep it at 24 bit. Keep it at 24 bit until you absolutely have to go to 16 bit.
Basically, 16 bit is the technology of the late 70's still hanging on. The popularity of the CD has kept it alive longer than it probably should have been, but then, it is a pretty good format. And consumers are showing with the popularity of Mp3's that they don't care about sound quality very much at all.
But you still should. Only dither once, and only when you absolutely have to. What dithering does is add randomly generated noise that covers up the rounding errors from having to truncate from 24 bits of depth to 16 bits. 24 bits of measurement is much, much more that 16 bit- that isn't necessarily obvious. And when you have to fit all that measurement into a smaller grouping of numbers then error occurs.
Think of it like this: the number 1.40719, well, if you had to round it, what number is it? You can call it 1.5 if you wanted, but it isn't, you can round it down to 1, but it isn't that either. And that's a very simple way of looking at what truncation from going from 24 bits to 16 bits is like- this is an off the cuff example for illustration purposes only, folks, the math isn't meant to illustrate anything that happens in the real world.
So when a computer tries to make all the numbers rounded into what you are now asking them to be, it has a lot of numbers that don't easily become one thing or another, so you dither, which is a randomization of those errors which can be less easily heard.
And the kinds of dither such as Pow-R take advantage or your ears selective hearing, you hear better at some frequencies than others, so it concentrates the dithering noise where the ear is naturally less sensitive. I haven't ever found a preference for one dithering over another, you might, so try a few different ones.
Anyway, hope this helps, I will admit to being no expert on dithering so this is gleaned from what I've put together about it, there is always a chance I could be wrong about it and I apologize if this is so.