Applied statistics (AAL+Esb: Energy)

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Estimation

Literature

[A] chapter 5, except section 5.5.

Lecture material

This lecture as: slideshow (html), Rmarkdown (Rmd), notes (pdf).

The entire module: notes (pdf).

Answers to exercises in the book

Exercises

  1. Solve Agresti exercise 5.7, 5.17, 5.19 (use RStudio), 5.31, 5.37 and 5.41 (hint: which standard deviation is necessary for the normal distribution with mean 9 to cover the interval 0-18 with probability 99.7%?)

  2. Confidence intervals:

    Explore this interactive app about confidence intervals.
    First use the "Confidence Interval for a Mean" tab and try to generate one sample at the time and investigate how the coverage percentages evolve as you draw more and more samples.
    Try the different settings such as changing the confidence level. What is the difference between using 90% and 99%?
    You can also try out the "Confidence Inteval for a Proportion" tab.

  3. Go through any Rmarkdown exercises of the previous two lectures that you did not yet finish.