Statistics

Welcome to the Wikibook of
Statistics

Statistics

1. Introduction
2. Different Types of Data
3. Methods of Data Collection
4. Data Analysis
5. Summary Statistics
6. Displaying Data
7. Probability
8. Distributions
9. Testing Statistical Hypothesis
1. Purpose of Statistical Tests
2. Formalism Used
3. Different Types of Tests
4. z Test for a Single Mean
5. z Test for Two Means
6. t Test for a single mean
7. t Test for Two Means
8. One-Way ANOVA F Test
9. z Test for a Single Proportion
10. z Test for Two Proportions
11. Testing whether Proportion A Is Greater than Proportion B in Microsoft Excel
12. Spearman's Rank Coefficient
13. Pearson's Product Moment Correlation Coefficient
14. Chi-Squared Tests
1. Chi-Squared Test for Multiple Proportions
2. Chi-Squared Test for Contingency
15. Approximations of distributions
10. Point Estimates (12:07, 28 March 2007 (UTC))
1. Unbiasedness
2. Measures of goodness
3. UMVUE
4. Completeness
5. Sufficiency and Minimal Sufficiency
6. Ancillarity
11. Practice Problems
1. Summary Statistics Problems
2. Data-Display Problems
3. Distributions Problems
4. Data-Testing Problems
12. Numerical Methods
13. Multivariate Data Analysis
1. Principal Component Analysis
2. Factor Analysis for metrical data
3. Factor Analysis for ordinal data
4. Canonical Correlation Analysis
5. Discriminant Analysis
14. Analysis of Specific Datasets
15. Appendix

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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.

ContentsEdit

Basics

Examples

• Practice Problems
• Analysis of Specific Datasets

Appendix