## How to Test for Correlation Coefficients

How to test correlation coefficients can look like a daunting process. But once you have figured out the correlation coefficient it’s an easy process that only takes a couple of steps. If you can read a table–you can test for correlation coefficient.

Sample problem: test the significance of the correlation coefficient r = 0.565 (How to calculate a correlation coefficient) using the critical values for PPMC table. Test at α = 0.01 for a sample size of 9.

Step 1: Subtract two from the sample size to get df, degrees of freedom.
9 – 7 = 2

Step 2: Look the values up in the PPMC Table. With df = 7 and α = 0.01, the table value is = 0.798

Step 3: Draw a graph, so you can more easily see the relationship.

r = 0.565 does not fall into the “reject” region (above 0.798), so there isn’t enough evidence to state a strong linear relationship exists in the data.

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## 2 Responses to “How to Test for Correlation Coefficients”

1. ### irshad shiekh said:

Mar 20, 13 at 10:05 am

size is 20 and r is 0.203.test the correlation

2. ### Andale said:

Mar 21, 13 at 8:49 am