13. Correlation and regression
Find the correlation and the regression line for the following x,y pairs:
3,3
What is the predicted y for an x of 6?
14. Procedures using Fisher's r to Z'
A researcher finds that the correlation
between age and number of strangers approached
is -.40 in the 20 cats he examines (i.e., as cats' age increased their approach of strangers
decreased). In the 40 dogs he examines, he finds a correlation of +.50. Is the age-"social
anxiety" relation different across species?
What if he wanted to created a 99% confidence interval around the population correlation (rho)
for the dogs? How would that be computed?
15. Significance of regression coefficients
16. Significance of R2 and change in R2
The researcher is interested in examining the effects of a Kaplan-type computer aid on SAT-Q
performance, and recognizes that math ability could add noise to the prediction. There are 24
high school seniors in his sample for this pilot study. He enters
standardized math scores on the Iowa test first to predict SAT-Q; R=.166. In the second step,
he enters the number of minutes of computer time with the aid used by each student.
R=.695.
17. Chi-square goodness of fit
A psychologist studying reaction times found that 9 of his 100 participants produced reaction
times that were 4 standard deviations above the mean, and wished to justify excluding them
from his analyses. Of the 9, 2 were from the sad mood condition, 1 from the happy mood
condition, and the remainder from the angry mood condition. Assuming that producing an
extreme score should be equally probable across conditions, is there any cause for concern
about the distribution of the current extreme scores?
18. Chi-square test of independence
In a naturalistic experiment, a researcher recorded whether people did not stop, paused, or
came to a full stop at a stop sign. She made these recordings at 6am and 11am. At 6am, 10
people did not stop, 10 people paused, and 3 came to a full stop. At 11am, 30 people did not
stop, 20 people paused, and 60 came to a complete stop. Is there a relation between time of
day and driving behavior at this stop sign?
3,3
4,6
5,7
6,9
7,8
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An applied researcher was interested in predicting discriminatory hiring recommendations from
dispositional prejudice (DispPrej) and diversity training (Training) among 10~0
middle-managers. Show how you would test the contribution of each predictor.
Model unstandardized coeff std error standardized coefficient intercept 2.018 DispPrej .337 .259 .199 Training .381 .089 .651
Answer
Test the significance of R at each step, then test whether the change in R2 is
sufficient to conclude that instruction predicts SAT-Q, above and beyond general math ability.
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