WHAT IS THE DIFFERENCE BETWEEN M 358K AND M 378K?

There is some overlap between M358K and M378K, namely, the basic notions of statistical inference: sampling distributions, hypothesis testing and confidence intervals.

However, there are many differences between the two courses. As the names suggest, M 358K (Applied Statistics) puts more emphasis on applications and M 378K (Introduction to Mathematical Statistics) puts more emphasis on theory.

*Topics covered in M 358K that are not usually
covered (or only lightly covered) in M 378K**:*

- Exploratory data analysis
- Data collection
- Deciding which techniques to use when
- Interpretation of results
- Regression
- Use of statistical software

** Topics covered in M 378K that are not usually
covered (or more lightly covered) in M 358K**:

- Probability distributions and their properties
- Derivation of techniques
- Point estimation
- Type I and II errors and statistical power
- Maximum Likelihood methods
- Likelihood ratio tests

M 378K also uses calculus more heavily than M 358K.

** Textbooks typically used**:

- M 358K: Moore, David S., McCabe, George P., Introduction to the Practice of Statistics 5th edition, 2005/6, W.H. Freeman
- M 378K: Wackerly, Mendenhall, Scheaffer,
__Mathematical Statistics with Applications__, sixth ed., 2002, Duxbury.