Statistics for CSAI 2

by Albert Major


HYPOTHESIS TESTING

• A hypothesis is a clear statement about a relationship or difference you expect to see in the population.

• It is not a question. It is a claim that your statistical test will evaluate.

• Example hypothesis types:

• “More hours spent studying increases grades.”

• “Playing video games predicts stronger social relationships.”

• “Word frequency predicts reading time.”

• In CSAI research, hypotheses appear everywhere: comparing groups, testing learning effects, checking model performance, or studying cognitive processes.

NULL AND ALTERNATIVE HYPOTHESES

• Null hypothesis (H0): there is no effect, no difference, no relationship in the population.

• Alternative hypothesis (H1): the expected effect exists.

• Statistics evaluates whether the observed data are too unlikely under the null.

THE GOAL OF HYPOTHESIS TESTING

• You try to rule out chance as the explanation for your findings.

• Because you sample from a population, sampling error will always exist.

• Statistical testing helps you decide whether your observed result is compatible with the null.

TEST STATISTICS