• ISBN13: 9788126944071
• Binding: Hardcover
• Subject: Mathematics and Statistics
• Publisher: Atlantic Publishers & Distributors (P) Ltd
• Publisher Imprint: Atlantic
• Publication Date: October 31, 2025
• Pages: 152
• Original Price: INR 595.0
• Language: English
• Edition: N/A
• Item Weight: 320 grams
• BISAC Subject(s): Statistics, Statistics, and Probability & Statistics / General

Fundamentals of Testing Statistical Hypotheses provides a clear and systematic introduction to the principles and methods of hypothesis testing. Drawing on the author's extensive teaching experience, the book explains key concepts, procedures and applications, equipping readers with the tools to apply statistical tests to real-world problems. Designed for both undergraduate and postgraduate students of statistics, it is equally valuable for teachers and for candidates pursuing competitive examinations such as ISS, UGC and SLET.

Salient features of the book include:

• Meticulously solved problems to illustrate each concept and procedure.
• A vast and impressive collection of practice problems and university /competitive examination questions.
• Statistical table values generated with the aid of C programming for precision and reliability.
• Emphasis on conceptual clarity and simplicity of presentation, along with the inclusion of up-to-date material.

A. Santhakumaran, with PhD from the Ramanujan Institute for Advanced Study in Mathematics, a University of Madras, served as a Reader in Statistics at Salem Sowdeswari College, Salem, Tamil Nadu. With over fifteen research papers published in reputed journals, he has established himself as both a dedicated scholar and an effective educator. His work reflects a balance of theoretical depth and practical insight, and his extensive experience in the classroom has helped generations of students gain a robust understanding of statistical foundations.

• Preface...................................vii
• 1 BASIC PRINCIPLES....................1-33
• 1.1 Introduction
• 1.2 Test Procedure
• 1.3 Non-Randomized Test
• 1.4 Randomized Test
• 1.5 Choosing a Test
• 1.6 Most Powerful Test is not Unique
• 1.7 Monotone Class of Tests
• 1.8 Geometrical Representation
• 1.9 Optimum Test
• 1.10 Uniformly Most Powerful Test
• 2 METHOD OF OBTAINING THE BEST TEST.........................34-61
• 2.1 Introduction
• 2.2 Neyman Pearson Lemma
• 3 APPLICATIONS OF NEYMAN PEARSON LEMMA.......................62-95
• 3.1 Introduction
• 3.2 Monotone Likelihood Ratio Property
• 3.3 Locally Most Powerful Test
• 3.4 Optimum Property of Locally Most Powerful Test
• 4 APPLICATIONS OF GENERALIZED NEYMAN PEARSON LEMMA..........96-126
• 4.1 Introduction
• 4.2 Generalized Neyman Pearson Lemma
• 4.3 Unbiased Test 4.4 Uniformly Most Powerful Unbiased Test
• 4.5 Locally Most Powerful Unbiased Test
• 5 NEYMAN-STRUCTURE TEST.........................................127-137
• 5.1 Introduction
• 5.2 Similar Test
• 5.3 Construction of Similar Test
• 5.4 Neyman-Structure Test
• Appendix................................................138-140
• References..............................................141