Home page for accesible maths 1 Introduction

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1.2 Learning Outcomes

At the end of the course the students should be able to demonstrate subject specific knowledge, understanding and skills and have the ability to:

  • Apply appropriate statistical procedures to answer simple research questions, using appropriate data.

  • Explain the concept of sampling distribution.

  • Write down likelihood functions for simple models and calculate maximum likelihood estimators for parameters.

  • Fit linear regressions using the least squares method to appropriate data.

  • Construct confidence intervals for estimators, perform hypothesis tests, and appreciate the similarities and differences between the two approaches.

  • Understand some of the asymptotic theory and properties of statistical inference methods.

  • Critically evaluate whether modelling assumptions are appropriate.

  • Compare and contrast different models, and be able to make an informed choice about which is the most appropriate to answer a given question.

  • Interpret the results and conclusions implied by fitted models in real world situations.

  • Use the statistical package ’R’ to fit and evaluate models.