Am not completely sure I understand the question - whether looking for test methods to be used or an overall set of experiments to run. Typically, "age curves" are developed for an aluminum alloy to evaluate the increase / decrease of properties during aging. For example, one would take "untreated" material and put it into an age oven at a set temperature, then remove samples every increment of time (every 1 hr, 2 hr, or other increment depending on your need). Then perform testing (YS, UTS, elong, ROA, crush properties, bend response, corrosion response) and plot the results vs. time.
A typical graph of YS should show a pronounced increase in strength which reaches a peak strength, then tapers off slowly; UTS should increase slowly then taper slowly after peak; elongation should decrease with age time. Of course, this assumes the alloys are heat-treatable.
Can also be used to determine the effects of natural aging or other phenomena besides "forced" changes like elevated temperature aging.
Non-heat-treatable alloys should still have properties that change with aging or heat treatment, although not nearly as pronounced as heat-treatable alloys. As Nagesh Dhumma has stated, electrical conductivity / resistivity can also be used to evaluate how much alloying elements are still in solid solution or have precipitated out.
This is almost the same procedure I applied for my experiments. Further, I used microscopy to define the grain size of the aluminum alloy after grinding and polishing the specimen.