Regarding TSD in chameleons, it has never been proven to exist. There are indications from some species that it could possibly exist but nothing statistically significant. It has only been statistically tested in Ch. calyptratus and in both cases they did not find statistical support for TSD. There are three articles I know of off the top of my head you can look at:
-Andrews, R. M. (2005). Incubation Temperature and Sex Ratio of the Veiled Chameleon (Chamaeleo calyptratus).
J. Herpetol. 39, 515-518. (
http://www.bioone.org/doi/abs/10.1670/33-05N.1)
-Long, J. (2008). The influence of incubation temperature on sex determination in the Veiled Chameleon, Chamaeleo calyptratus.
Chameleons! Online E-Zine, February 2008. (
http://www.chameleonnews.com/08FebLong.html)
-Spier, S. and Stegemann, T. (2005). Zur temperaturabhängigen Geschlechtsdetermination (TGD)/temperature dependent sex determination (TSD) bei Chamäleons.
Chamaeleo 31, 9-14. (
http://www.agchamaeleons.de/download-files/Chamaeleo_31.pdf)
As far as tests for vitamins and minerals, etc., there are many different tests depending on specifically what you are looking for. These can include histopathology, bloodwork measuring different metabolism and health indicator compounds, including the vitamins/minerals themselves, bone mineral density measurements, bone mineral concentration measurements, clinical symptoms themselves, reproductive success, lifespan, behavior, egg development and calcification, etc. All of these are indicators of performance and health and can be used to measure the effect of different treatments. An important aspect of any study, however, is that you have to have an experiment that compares a trial (a mineral/vitamin regiment, for instance) to a control (lack of that regiment or mineral/vitamin) with ample replication in order to compare trends. You then need to statistically test the significance of your findings to determine if the result is actually significant or just the result of chance.
Chris