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Overview of basic concepts in Statistics and Probability - SAMSI

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Test procedures<br />

<strong>Overview</strong> <strong>of</strong><br />

<strong>basic</strong> <strong>concepts</strong><br />

<strong>in</strong> <strong>Statistics</strong><br />

<strong>and</strong><br />

<strong>Probability</strong><br />

Avanti<br />

Athreya<br />

Prelim<strong>in</strong>aries<br />

Important<br />

distributions,<br />

scal<strong>in</strong>g laws,<br />

<strong>and</strong> the CLT<br />

Parametric<br />

estimation <strong>and</strong><br />

hypothesis<br />

test<strong>in</strong>g<br />

A test procedure is a rule, based on sample data, for decid<strong>in</strong>g<br />

whether to reject H 0 .<br />

A test procedure requires:<br />

1 A test statistic, a function <strong>of</strong> the sample on which the<br />

decision to accept or reject H 0 is made;<br />

2 A rejection region, a set <strong>of</strong> all test statistic values for<br />

which H 0 will be rejected.

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