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Doing t-tests by hand
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Four steps Set up null and alternative hypothesis
Directional? Non-directional? Determine t-critical from table One-sample? Independent sample? Dependent (or paired sample)? Compute t-obtained Compare t-obtained to t-critical. If t-obtained is larger then you have significance
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Formula for one sample t obtained = Sample mean – Population mean / standard error of mean
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Independent samples t obtained = M1 – M2 / standard error of difference between the means
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Dependent or Paired Samples
Be sure to work with the Differences between your paired scores – NOT the original scores t obtained = mean of differences / standard error of mean of differences
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