This textbook offers a comprehensive introduction to both the foundational and intermediate concepts of statistics, catering to students, researchers, and professionals across various disciplines such as science, agriculture, business, and social sciences. It begins with the basics of descriptive statistics, introducing key measures of central tendency (mean, median, mode) and variation (range, variance, standard deviation) that help summarize and understand data.
Building on these fundamentals, the book explores the principles of probability theory and probability distributions, including binomial, Poisson, and normal distributions. It then transitions to the concept of sampling distributions, which form the basis for making inferences about population parameters.
A significant portion of the book is dedicated to hypothesis testing, covering tests for means, proportions, and variances. This includes z-tests, t-tests, and chi-square tests for both goodness-of-fit and independence of attributes.
The text also provides a strong foundation in the design of experiments, presenting classical methods such as Completely Randomized Design (CRD), Randomized Complete Block Design (RCBD), and Latin Square Design, which are essential for conducting effective and reliable experiments. Further, it includes the Complete Factorial Experiment, allowing readers to analyze the interaction between multiple factors.
The final chapters introduce multivariate statistical techniques, equipping readers with tools to analyze data involving multiple variables simultaneously—crucial in modern data-driven research.
Throughout, the book emphasizes application, clarity, and interpretation, making statistical methods accessible and practical. With worked examples, illustrations, and real-world relevance, it serves as a valuable resource for learning and applying statistical concepts in academic and professional settings.
Chapter 01.Introduction to Statistics
Chapter 02.Measures of Central Tendency Measures of Variation
Chapter 03.Probability and Probability Distributions
Chapter 04.Sampling Distributions of Mean and Variance
Chapter 05.Testing of Hypotheses of Mean(S)
Chapter 06.Tests of Hypotheses Concerning Proportion(S)
Chapter 07.Tests for Variances
Chapter 08.Chi-Square Test for Goodness of Fit And Checking Independence of Attributes
Chapter 09.Basics of Analysis of Variance and Completely Randomized Deisign
Chapter 10.Randomized Complete Bloc Design
Chapter 11.Latin Square Design (Three-Way Anova)
Chapter 12.Complete Factorial Experiment
Chapter 13.Multivariate Analyses