What is the difference between Kendall Tau vs Spearman?

 In the context of data science, in your particular given scenario, you can use both Kendall tau and even Spearman correlation coefficient. You can use both to measure the Customer satisfaction ratings and the prices of the products.

Here are the comparison given between both:-

Advantages of Kendall tau

Kendall Tau is famous for being less sensitive to outliers as compared to Spearman, therefore it would be perfect in the situation where you would need to deal with the data that may contain outliers or errors. It can offer an intuitive measure of association, representing the probability that the ratings of two variables should be concordant.

Disadvantages of Kendall tau

Kendall tau has a drawback of computing the number of concordant and discordant pairs which would lead you to complexity. It can be less effective than Spearman for continuous data.

Advantages of spearman

It can offer a simple computational process based on the ranks of the data. Therefore, it can be more effective than Kendall tau in the context of large day sets with continuous data.

Disadvantages of spearman

It can be more sensitive to outliers as compared to Kendall tau. It can also be affected by tied ranks which would lead you to biased estimates.

Here is a Python example given of how both functions would calculate the correlation coefficient for the provided data:-

Import numpy as np

From scipy.stats import kendalltau, spearmanr

# Generate example data

Customer_satisfaction = [3, 1, 2, 5, 4]

Prices = [10, 20, 15, 25, 30]

# Calculate Kendall Tau correlation coefficient

Kendall_tau, _ = kendalltau(customer_satisfaction, prices)

# Calculate Spearman correlation coefficient

Spearman_corr, _ = spearmanr(customer_satisfaction, prices)

Print(“Kendall Tau correlation coefficient:”, kendall_tau)

Print(“Spearman correlation coefficient:”, spearman_corr)

You can choose between two according to your particular requirements and needs as both have its own advantages and disadvantages.