First Course in Statistical Inference

Dr Jonathan Gillard is a Reader in Statistics at Cardiff University, Senior Fellow of the Higher Education Academy, and a member of the Statistics Interest Group of sigma: the UK network for excellence in mathematics and statistics support. He has taught statistical inference to mathematics undergraduates and postgraduates for over 10 years. Jonathan maintains a strong interest in innovative teaching methods, being an editorial board member of MSOR Connections. He is an active researcher of the theory of statistics and is currently working on a number of collaborative projects with the Office for National Statistics and National Health Service. His recent publications have included work on using regression in large dimensions, novel methods for forecasting, and new approaches for learning about the performance of machine learning algorithms.

• 1 Recap of Probability Fundamentals.- 2 Sampling and Sampling Distributions.- 3 Towards Estimation.- 4 Confidence Intervals.- 5 Hypothesis Testing.- 6 One-way Analysis of Variance (ANOVA).- 7 Regression: Fitting a Straight Line.- A brief introduction to R.- Solutions to Exercises.- Statistical Tables.- Index.