Psychology 202a Advanced Psychological Statistics October 29, 2015

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Psychology 202a
Advanced Psychological
Statistics
October 29, 2015
The plan for today
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Simulating regression models
Another way to understand correlation
Creative uses for regression
The t test as regression
Introducing multiple regression
Correlation, revisited
• We have seen two ways to understand the
correlation coefficient:
– The standardized covariance;
– The square root of the coefficient of
determination.
• A third is to think of the correlation as the
slope in a regression where both variables
have been standardized.
The t test as regression
• Recall that regression is a model for the
conditional mean.
• Sometimes, the variable on which we
condition can be artificially constructed for
a special purpose.
• Long digression in SAS.
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