Statistics

This page covers statistics.

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MSM1S2 Probability & Decision Making

Common distributions are introduced and their mean and variance found. Conditional probability and Bayes' Theorem is introduced and applied.
Download PDF 122 (143)

MSMXS1 Foundation Of Statistical Inference

Bayesian and Frequentist estimation is covered, and methods for assessing the quality of frequentist estimates are discussed.
Download DVI 54 (145)

MSMXS2 Linear Statistical Models

Analysis of Variance is first covered, leading towards modelling processes using the General Linear Statistical model.
Download DVI 54 (145)
Download PDF 433 (291)

MSMYS3 Statistical Theory

The theory underpinning most of MSMXS2 is covered, including the Cramér-Rao inequality, minimal sufficient statistics, the Rao-Blackwell Theorem, and hypothesis testing using general statistics such as the maximum likelihood ratio and the Wald statistic.
Download DVI 29 (47)
Download PDF 121 (240)