efficiency of rank correlation

User Generated

ryfn

Mathematics

Description

The efficiency of the rank correlation test is 0.91. What does that value tell us about the test?

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Explanation & Answer

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r = 0.91

What does this tell us?

To interpret the value of r you need to follow these guidelines:

  • r always lies in the range -1 to +1. If it lies close to either of these two values, then the dispersion of the scattergram points is small and therefore a strong correlation exists between the two variables.
  • For r to equal exactly -1 or +1 must mean that correlation is perfect and all the points on the scattergram lie on the line of best fit (otherwise known as the regression line.) If r is close to 0, the dispersion is large and the variables are uncorrelated. The positive or negative sign on the value of r indicates positive or negative correlation.

So in the above case, there is evidence of strong positive correlation.


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