Synopsis of Elementary Mathematical Statistics

Synopsis of Medical Statistics

The sample size of a statistical sample is the number of observations that constitute it. It is typically denoted n, a positive integer (natural number). Typically, all else being equal, a larger sample size leads to increased precision in estimates of various properties of the population. This can be seen in such statistical rules as the law of large numbers and the central limit theorem. Repe...

Synopsis of Medical Statistics

The sample size of a statistical sample is the number of observations that constitute it. It is typically denoted n, a positive integer (natural number). Typically, all else being equal, a larger sample size leads to increased precision in estimates of various properties of the population. This can be seen in such statistical rules as the law of large numbers and the central limit theorem. Repe...

Elementary Statistics

Elementary Concepts in Statistics

Elementary Concepts in Statistics Overview of Elementary Concepts in Statistics. In this introduction, we will briefly discuss those elementary statistical concepts that provide the necessary foundations for more specialized expertise in any area of statistical data analysis. The selected topics illustrate the basic assumptions of most statistical methods and/or have been demonstrated in resear...

Mathematical Statistics

This material is designed to introduces basic concepts and fundamental theory of mathematical statistics. A review of basic concepts will include likelihood functions, sufficient statistics, and exponential family of distributions. Then point estimation will be discussed, including minimum variance unbiased estimates, Cramér-Rao inequality, maximum likelihood estimates and asymptotic theory. To...