First, we must know what is empiricism. Empiricism is the a theory of knowledge comes via the senses’ experience. Empiricism emphasizes the role of experience and evidence, especially sensory perception, in the formation of ideas, over the notion of innate ideas or tradition in contrast to, for example, rationalism which relies upon reason and can incorporate innate knowledge.
About empirical analysis, empirical analysis is the analysis of things in empiric way. It is an analysis of things from direct observation, experiment or scientific method, and solid evidences. To make it short, it is an analysis with the use of your senses.
Source:
http://en.wikipedia.org/wiki/Analysis_of_algorithms
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