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Author(s): D. Spiegelhalter, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part IB Lecture Notes
Publisher: University of Cambridge
Year: 2015

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; statistics; probability; stats; stat

Introduction
Estimation
Estimators
Mean squared error
Sufficiency
Likelihood
Confidence intervals
Bayesian estimation
Hypothesis testing
Simple hypotheses
Composite hypotheses
Tests of goodness-of-fit and independence
Goodness-of-fit of a fully-specified null distribution
Pearson's chi-squared test
Testing independence in contingency tables
Tests of homogeneity, and connections to confidence intervals
Tests of homogeneity
Confidence intervals and hypothesis tests
Multivariate normal theory
Multivariate normal distribution
Normal random samples
Student's t-distribution
Linear models
Linear models
Simple linear regression
Linear models with normal assumptions
The F distribution
Inference for beta
Simple linear regression
Expected response at x*
Hypothesis testing
Hypothesis testing
Simple linear regression
One way analysis of variance with equal numbers in each group