Question
Download Solution PDFFor Spearman's rank correlation, if the correlation coefficient is 0.7 and
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 10
Key Points
The Spearman's rank correlation is formulated as:
ρ = Spearman's rank correlation coefficient
di = different between the two ranks of each observation
n = number of observation
Given, ρ = 0.7 and
Putting the given values into the formula, we get:
or,
or,
Simplifying the equation we have,
Now, following the method of trial and error, we get:
- n = 99 ⇒
⇒ Violated - n = 20 ⇒
⇒ Violated - n = 10 ⇒
⇒ Satisfied - n = 990 ⇒
⇒ Violated
Hence, the required sample size is 10.
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