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  1. The method in which we select samples to learn more about characteristics in a given population is called hypothesis testing. Hypothesis testing is really a systematic way to test claims or ideas about a group or population.

  2. Hypothesis Testing. Is also called significance testing. Tests a claim about a parameter using evidence (data in a sample. The technique is introduced by considering a one-sample z test. The procedure is broken into four steps.

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  3. the correct statistical test is an invaluable skill for a competent reader of biomedical literature. This article will review several commonly used statistical tests and discuss the appropriate situation in which each test is used. Approach for choosing the correct statistical test There are three major groups of basic

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  4. D. Jason Koskinen - Advanced Methods in Applied Statistics - 2018 • The decision boundary can be defined using the test statistic to discriminate between hypotheses, e.g. signal or background • Each hypothesis will imply a given PDF for the test statistic, t: • Define: Statistical Tests - Decision Boundary 6 g(t; H 0) : PDF for t under H ...

  5. Five Steps in a Hypothesis Test All hypothesis tests share a common format: • State the null hypothesis (statement about the value of a relevant parameter) • State the alternative hypothesis • Calculate the test statistic (the evidence from the sample dt)data) • Determine the Rejection Region

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  6. Anatomy of a statistical test. • Given the difference you observed, how likely is it to have occurred by chance?

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  8. Hypothesis Testing Error Types. Ideally, a statistical test should have a low significance level (α) and high power (1−β). Type I Error (α): False Positive Type II Error (β): False Negative.

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