The temperature dependence of Coulomb blockade peak height correlation is u
sed to investigate how adding electrons to a quantum dot alters or "scrambl
es" its electronic spectrum. Deviations from finite-temperature random matr
ix theory with an unchanging spectrum indicate spectral scrambling after a
small number of electrons are added. Enhanced peak-to-peak correlations at
low temperature are observed. Peak height statistics show similar behavior
in several dot configurations despite significant differences in correlatio
ns.