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A researcher is interested in determining the partial correlation between age (X) and attitude towards interracial marriage (Y), controlling for place of residence (rural or urban) (W). The researcher finds the following correlation: =0.60; =0.43; =0.70, for N=175. Calculate the partial correlation coefficient and the t ratio. Set a=.05. What should the researcher conclude?

Submitted: 110 days and 9 hours ago.
Category: Math
Value: $15
Status: AWAITING CUSTOMER ACTION

Answer

We have,
r(xy) = 0.6
r(xw) = 0.43
r(yw) = 0.70
N = 175

Partial correlation coefficient r(xy.w)=
(0.6 - 0.43*0.7)/ sqrt((1-0.43^2)(1-0.7^2)) = 0.4637

t ratio = r/ sqrt((1-r^2)/(N-3)) = 6.8639 after putting above value of r=r(xy.w)

Critical value is t = 1.9739
As our tobt is greater than critical value, we reject the null hypothesis. So the correlation between age and attitude towards interracial marriage controlling for place of residence is significant.



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Expert: RRJha
Pos. Feedback: 100.0 %
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Answered: 8/3/2009

Graduate Student

Math Expert

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