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Visual Summary: 
t Tests for Correlated Samples


Before You Begin

Compute the Mean for Sample 1
Compute the Standard Deviation for Sample 1
Determine n for Sample 1
Compute the Mean for Sample 2
Compute the Standard Deviation for Sample 2
Determine n for Sample 2
Compute the Correlation Coefficienct

or

Compute the Mean of the Differences
Compute the Sum of the Squared Differences
Determine the Number of Pairs


Correlation                                                                                Difference


ê

ê

Estimate  the Standard Error of the Difference:

 


 

Estimate the Standard Error of the Difference:


 


ê

ê

Compute t:


 

Compute t:


 


î

í

Compute the Degrees of Freedom

df = (Number of Pairs) - 1

 


ê

 

Find the Critical Value of t in Table T

 


ê

 

 


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