Hypothesis testing is a common statistical analysis for empirical
data generated by studies of perception, but its properties and
limitations are widely misunderstood. This Element describes
several properties of hypothesis testing, with special emphasis on
analyses common to studies of perception. The author also describes
the challenges and difficulties with using hypothesis testing to
interpret empirical data. Many common applications of hypothesis
testing inflate the intended Type I error rate. Other aspects of
hypothesis tests have important implications for experimental
design. Solutions are available for some of these difficulties, but
many issues are difficult to deal with.
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