Comprehensive Calculator Guide
This calculator gives Spearman’s rank correlation ρ between two variables: it ranks the values (handling ties) and asks whether they rise together, whatever the shape. Accelerating growth gives ρ = 1 while Pearson is 0.906. It suits ranked data such as judges’ rankings and satisfaction surveys.
Spearman’s ρ
Rank each variable, ties sharing their average rank, and compute Pearson’s r on the ranks; without ties, ρ = 1 − 6Σd² ÷ (n(n² − 1)). Use it for ranks, curved monotonic links or outliers.
How to Use
- Enter the first variable or its ranks.
- Enter the second in the same order.
- Press “Calculate” to see ρ and Pearson’s r.
Formula Used
ρ = Pearson’s r on the ranks
Practical Examples
- Example 1
- Accelerating growth: 1.
- Example 2
- Two judges: 0.829.
Important Tips
- Enter ranks directly if you have them.
- Compare with Pearson.
- Use the shortcut only without ties.
Common Mistakes to Avoid
- The shortcut with many ties.
- Misaligned pairs.
- Ranking both lists together.
Frequently Asked Questions
- What is it?
- Pearson’s r on ranks.
- Vs Pearson?
- Monotonic vs linear.
- Ties?
- Average ranks.