Recommended Books for Statistics Optional Preparation
1. Introduction to the Theory of Statistics by Alexander Mood, Franklin Graybill, and Duane Boes:
This book provides a comprehensive introduction to the theory of statistics, covering topics such as probability, random variables, statistical inference, and hypothesis testing. It is highly recommended for building a strong foundation in statistical concepts for UPSC Statistics Optional.
2. Mathematical Statistics by Hogg, Craig, and McKean:
This book is an excellent resource for understanding the mathematical foundations of statistics. It covers topics such as probability distributions, estimation, hypothesis testing, and regression analysis. The book also includes numerous examples and exercises to reinforce the concepts.
3. Statistical Inference by George Casella and Roger L. Berger:
This book is widely regarded as a classic in the field of statistical inference. It covers both classical and Bayesian approaches to inference, providing a comprehensive understanding of the subject. The book also includes numerous real-world examples and exercises to enhance learning.
4. Linear Models by C.R. Rao:
This book focuses on linear models, which are an important topic in statistics. It covers topics such as simple and multiple regression, analysis of variance, and covariance analysis. The book also provides a thorough treatment of statistical techniques used in the analysis of linear models.
5. Sampling Techniques by William G. Cochran:
This book is a comprehensive guide to sampling techniques, which are essential for conducting surveys and collecting data. It covers topics such as simple random sampling, stratified sampling, cluster sampling, and multistage sampling. The book also includes practical examples and case studies to illustrate the application of sampling techniques.
6. Design and Analysis of Experiments by Douglas C. Montgomery:
This book is a valuable resource for understanding the design and analysis of experiments. It covers topics such as completely randomized designs, randomized block designs, factorial designs, and response surface methodology. The book also includes numerous examples and case studies to demonstrate the application of experimental design principles.
These books provide a solid foundation in statistics and cover the major topics required for UPSC Statistics Optional. It is recommended to thoroughly study these books and supplement your preparation with previous years' question papers and online resources for a comprehensive understanding of the subject.