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An alternative to the omnibus approach
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Planned comparisons
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What do planned comparisons test?
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the specific predictions or hypotheses the researcher has advanced
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Planned comparisons have Have both__ l and statistical advantages over the __ F test
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Conceptual
omnibus |
The mean(s) for the group(s) with positive contrast coefficients are compared with the mean(s) for the group(s) with negative contrast coefficients
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Read
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The Groups with a __ are excluded from the comparison
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0
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The particular values we use for the contrast coefficients (1, -1 and 0) are ___
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Arbitrary
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What does it mean that particular values we use for the contrast coefficients (1, -1 and 0) are arbitrary?
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It means we can use any numbers we like, provided they sum to 0 across rows.
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As the number of groups (or conditions) in an experiment increases, the number of possible comparisons __ right along with it
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Increases
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Why is it Important to set limits on the number of contrasts you plan to perform?
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As the number of groups (or conditions) in an experiment increases, the number of possible comparisons increases right along with it
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What is the advantage of planned comparisons?
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- we can do a single df test (more poweful than tests with more df in numerator)
- we can do a directional test (t-test) (gaining more power) |
How do you increase the advantage of planned comparisons?
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By increasing the number of groups in the design
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What is the disadvantage of planned comparisons?
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- based on the full sample, MSRes from the omnibus is smaller than MSres with the reduced sample
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How can we solve the disadvantage of the planned comparisons?
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As long as the variances for the groups are roughly equal, we can use the pooled error term as th error term for our planned comparison
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What is the pooled error term?
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It is simply the error term (MSRes) from the omnibus analysis
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