Question

How do you construct confidence interval for a correlation coefficient?

Answer 1

Population Correlation coefficient = Sample correlation coefficient `+-`[Critical value `xx` Standard Error ]

Explanation:

Population Correlation coefficient = Sample correlation coefficient `+-`[Critical value `xx` Standard Error ]

Critical value is the table value.

If the sample size is greater than 30, you have to refer Normal Distribution . Its value depends on the confidence level.

Say for example if the confidence level is 99% the critical value is `2.58`

If the sample size is less than 30, you have to refer `t` Distribution Table.

The value depends on confidence level and the degrees of freedom.