Statistics - Area of applied mathematics concerned with the data collection, analysis, interpretation and presentation.
Statistics is used in almost every field of research: the discovery of the Higgs particle, social sciences, climate research,... With this, and with its well established foundations, it is very well suited for a wikibook. This book is an ongoing effort to make this basic knowledge available for free.
Since the concepts in probability are essential for statistics, a thorough knowledge of probability is needed before reading this book (especially for the advanced part), and so probability is a prerequisite of this book. Although some concepts in the probability are reviewed, the review is meant to be read by someone who is familiar with those concepts already, and so it is not too detailed. For a more detailed discussion on those concepts, you may refer to the wikibook Probability.
This book is divided into two main parts: Basics and Advanced. The Basics part gives a brief introduction and idea about statistics, while the Advanced part gives a more formal and mathematical treatment on statistics.
- Methods of Data Collection
- Data Analysis
- Summary Statistics
- Data Display
- Probability (see Probability wikibook for more details)
- Distributions (see Probability wikibook for more details)
- Hypothesis Tests
- Point Estimation
- Interval Estimation
- Hypothesis Testing
- Numerical Methods
- Multivariate Data Analysis