Spearman Correlation Calculator
Measure the monotonic relationship between two variables using ranks. Paste paired X and Y values.
How to enter your data: Enter two matching lists of numbers: one list for the first thing you measured and one for the second. Separate the numbers with commas or put each on a new line, and keep both lists in the same order so the first number in one list belongs to the same person or item as the first number in the other. Both lists must have the same count of numbers.
The Spearman Rank Correlation Calculator checks whether two sets of numbers tend to rise and fall together. It puts each set in order (from smallest to largest) and compares those positions, then gives you a single score between -1 and +1. A score near +1 means that when one thing goes up the other usually goes up too; near -1 means one goes up while the other goes down; and near 0 means there is little or no link between them.
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Where it is used
- Teachers: A teacher checks whether students who spend more hours revising tend to finish higher in the class rankings.
- Small-business owners: A cafe owner sees whether tables that wait longer for food tend to leave lower satisfaction scores.
- HR staff: An HR officer looks at whether employees with more years of experience tend to get higher performance ratings from managers.
Spearman vs Pearson
Spearman’s correlation works on ranks, so it captures any consistent increasing or decreasing relationship, not just a straight-line one, and is more robust to outliers and ordinal data such as Likert scales.
When should you use it?
Use this when you have two measurements for the same group of people or items and you want to know if they move together. It is a good choice when your numbers are rankings, ratings, or scores rather than exact amounts, or when a few unusually high or low values might throw things off. Because it works on the order of the numbers instead of their exact size, it copes well with survey scales, star ratings, and lists that are not perfectly evenly spaced.
What does the result mean?
The result is a single number between -1 and +1. A positive number means the two things tend to go up together; a negative number means one goes up as the other goes down; zero means almost no link. A common rough guide: below about 0.2 is very weak or none, 0.2 to 0.4 is weak, 0.4 to 0.6 is moderate, 0.6 to 0.8 is strong, and above 0.8 is very strong. The same sizes apply to negative numbers.
Mistakes to avoid
Make sure both lists have the same amount of numbers and stay in matching order, or the pairs will line up wrongly. Do not mix up the person or item each number belongs to. Remember that a link between two things does not prove one causes the other; something else may be behind it. Do not read too much into a result from only a handful of items, because small groups can show a strong number just by chance. Keep any text or labels out of the boxes.
How to use this calculator
- Type your first set of numbers into the first box, separated by commas or new lines.
- Type your second set into the second box in the same order, so each pair matches.
- Check that both lists have the same amount of numbers, then run the calculator.
- Read the result: a number near +1 or -1 means a strong link, while a number near 0 means little or no link.
Worked example
Suppose you look at six salespeople and compare their years of experience with their customer satisfaction score. Experience: 1, 2, 3, 4, 5, 6. Satisfaction score: 6, 5, 7, 8, 9, 10. Put the experience numbers in one box and the scores in the other, in the same order. The calculator returns about 0.94, a very strong positive link, meaning people with more experience tend to earn higher satisfaction scores.
Frequently asked questions
What do I type in each box?
Type one set of your measurements in the first box and the other set in the second box. Separate the numbers with commas or new lines, and keep both lists in the same order.
Where do I get these numbers?
They come from any two things you measured for the same people or items, such as survey ratings, test scores, hours spent, or prices. Just line up the two measurements for each person side by side.
What does the final number mean?
It shows how strongly the two sets move together, from -1 to +1. Closer to +1 or -1 means a stronger link; closer to 0 means little or no link.
Do both lists need the same amount of numbers?
Yes. Every item needs a value in both lists, so the two lists must be the same length and in matching order.
What is the difference between a positive and a negative result?
A positive result means both things tend to rise together. A negative result means as one rises, the other tends to fall.
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