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lecture12

# lecture12 - Review of the 4-step program Statistical Power...

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Review of the 4-step program Statistical Power Effect Size Introduction to the T-test 1. State the hypothesis 2. Set the decision criterion 3. Collect sample & compute statistic 4. Compare statistic to criterion and make a decision Are times to complete a 200 m sprint affected by cold temperatures? Assume that the population of 200 m sprint times has a 7 =22 s and ± =5. 1. State hypothesis H 0 : 7 =22 H 1 : 7 ± 22 2. Set Criterion ² =0.05, two-tailed Z critical =±1.96 3. Compute sample statistics A random sample of 25 runners ran in the cold and had a mean sprint time of M=25 s z = M ± ± ² M z = 25 ± 22 (5 25 ) = + 3 1 = + 3.0 4. Make decision The obtained z of +3.0 is more extreme than our critical z, therefore reject H0 Cold temperatures increase times in the 200 m sprint.

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The power of statistical test is the probably that the test will correct reject the null hypothesis Power = p(reject false H0) = 1-ß Why? Size of the treatment effect Alpha level 1-tailed vs. 2-tailed tests Sample size
Need to know the sample mean (M), the population mean ( # ), and the population standard deviation ± Assumes ± does not change.

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lecture12 - Review of the 4-step program Statistical Power...

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