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Class Statistics II

  • Presentation

    Presentation

    The purpose of this course is to introduce probability distribuitions models and the basic principles of Inferential Statistics. Students should understand the usefulness and wide application of these methodologies to various contexts, particularly in their subject areas. It is intended that students develop their thinking skills, helping them to address and solve real practical problems in their area of study or in other contexts.

  • Code

    Code

    ULHT172-986
  • Syllabus

    Syllabus

    1. Probability distribuitions
      • Probability distributions for discrete random variables (uniform, binomial, negative binomial, hypergeometric, Poisson).
      • Probability distributions for continuous random variables (uniform, normal, t-Student, chi-square).
      • Approximations. 
    2. Estimation

      • Introduction to point estimation.

      • Confidence intervals for a population mean, variance and standard deviation.

      • Confidence intervals for a population proportion.

    3. Parametric hypothesis testing
      • Hypothesis testing for the mean of a normal population and for a proportion of binomial populations.

    4. Non-parametric hypothesis testing
      • Chi-Squared goodness-of-fit test.

      • Chi-Squared independence test.

  • Objectives

    Objectives

    Skills:

    - Understand different theoretical probability distribution models, identify them and apply them in practical cases.

    - Build confidence intervals for Gaussian distribution parameters.

    - Perform parametric hypothesis tests related to gaussian distribution.

    - Develop non-parametric hypotheses tests (goodness-of-fit and independence tests).

  • References

    References

    • Murteira, B., Ribeiro, C.S., Silva, J.A., Pimenta, C. (2015). Introdução à Estatística, Escolar Editora.
    • Newbold, P., Carlson, W.L., Thorne, B.M. (2012). Statistics for Business and Economics, Prentice-Hall, 8ª Edição. (ISBN: 978-0132745659)
    • Proença, I.M. (2010). Estatística, Euedito.(ISBN: 9789892021362)
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