OU PSY 5013 - ANCOVA (6 pages)

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ANCOVA



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ANCOVA

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Pages:
6
School:
The University of Oklahoma
Course:
Psy 5013 - Psychological Statistics II

Unformatted text preview:

ANCOVA ANCOVA Combining Quantitative and Qualitative Predictors In an ANCOVA we try to adjust for differences in the quantitative variable For example suppose that we were to compare men s average faculty income to women s average faculty income here at OU faculty Looking for a difference involves an ANOVA Explaining the difference if one is found involves an ANCOVA Explaining the Difference In trying to explain the difference between men and women we may want to control for certain variables What if That is we would like to show that the difference is due to relevant performance criteria If we can t show that this is the case then we have a serious discrimination problem The ANCOVA is many ways is a what if analysis what if men and women had the same amount of experience Would we still see the difference in income Inherent in this analysis is the possibility that the what if question is relevant For example it would be silly to compare basketball teams adjusting for the heights of players This would be a meaningless comparison Difference Are Due to Experience Difference Are Due to Experience Experience Rank Performance record Etc Men s observed mean Predicted income for men and women Income Predicted income for men and women Income The regression lines for men and women are the same Grand mean on experience women men Experience difference The regression lines for men and women are the same Women s observed mean Grand mean on experience women men Experience 1 Difference Due to Something Besides Experience Men s predicted income Difference Due to Something Besides Experience men Income Ancova compares the adjusted means Men s adjusted mean men Income women Women s predicted income women Women s adjusted mean Grand mean on experience women Grand mean on experience men women Experience men Experience Difference Due to Something Besides Experience Unadjusted Difference Are Due to Interaction men Ancova compares the adjusted means differences Men s adjusted mean



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