The hormones are a myth.
Nitrogenous wastes, however, do impact fish health immensely. A fish given very small quarters will be stunted in TL (Total Length) due to physical injury and outgrowing the capacity of the filtration system.
You can also note that fish do not follow determinate growth like mammals, but will gain less total length over the years and focus on body depth. (Like determinate growth animals like humans.). This pattern follows a repeating sigmoid curve in decreasing rate.
Factors that affect fish length are:
Nutrition (More ideal nutrition early on supports longer TL)
Pollution (Water qualities)
Competition
and Predation
Rbishop, you would find a fisheries course at your state's university quite helpful.
"Bond's Biology of Fishes" By Michael Barton 2007 is an excellent read and useful in this knowledge.