Parametric tests

19 Março 2015, 15:30 • NICOLETTA ROSATI

Discussion of exercise 8 from the exercises sheet on parametric tests.
Tests for the mean of a normal population: cases with known variance, one- and two-sided alternatives.

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Parametric hypothesis testing

17 Março 2015, 13:30 • NICOLETTA ROSATI

Two-sided tests: example. Discussion of exercises 4 and 6 from the exercises sheet on parametric tests.
P-value: definition and examples.

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Parametric tests

13 Março 2015, 13:30 • NICOLETTA ROSATI

Most powerful test (cont.) One- and two-sided alternative hypotheses. Power function. Uniformly most powerful test.
Completed discussion of Exercises n. 1 and 3 from exercises sheet on parametric tests.

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Parametric tests

12 Março 2015, 15:30 • NICOLETTA ROSATI

Calculation of size and power of a test: discussion of exercise 1 (beginning).
Introduction to most powerful tests. Neyman-Pearson lemma. Discussion of exercise 3 (beginning) of the exercises sheet on parametric tests.

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Interval estimation. Parametric hypothesis testing

10 Março 2015, 13:30 • NICOLETTA ROSATI

Discussion of exercise no. 11 (cont) and 10 of the exercises sheet on interval estimation. End of interval estimation.
Parametric and non-parametric statistical hypotheses. Null and alternative hypotheses. Statistical test. Critical region. Simple and composite hypotheses. Type I and II errors. Size and power of a test.
Discussion of exercise 2 of the exercises sheet on parametric tests.

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