patsy: Uses a mini-language for formulae in a way similar to R/S. Used by pandas and hence statsmodels.
numexpr: An acceleration library for use with NumPy.
bottleneck: Added bottleneck, which speeds up some corner cases with NumPy. In particular, when nan values are present.
pandas: Data analysis library. Part of SciPy stack. Used in particular for linear analysis. Included essential dependencies. Did not include optional dependencies to deal with input and output formats ( e.g. Excel, Amazon, PyTables ) nor were any parsers included ( e.g. any version BeautifulSoup ). Regardless, actual analytical operations should work.
statsmodels: Builds on pandas ( actually depends on it as well ). Provides more advanced statistical analysis.