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I think that absolute entropy is measured relative to temperature in Kelvin, while statistical entropy uses Boltzmann's equations and the existence of microstates. Since entropy based on temperature change is derived using a form of Boltzmann's equation along with the idea of internal energy, I would say it would be different that just measuring the entropy due to microstates. In many cases, you have to add together the types of entropy applicable in that situation, as these contribute to the total entropy.
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