This article describes the Spearman’s Rank Correlation and how it is used for enterprise analysis.

What is Spearman’s Rank Correlation?

Correlation is a statistical measure that indicates the extent to which two variables fluctuate together A positive correlation indicates the extent to which those variables increase or decrease in parallel. A negative correlation indicates the extent to which one variable increases as the other decreases. The Spearman’s Rank Correlation is a measure of correlation between two ranked (ordered) variables. This method measures the strength and direction of association between two sets of data when ranked by each of their quantities.

Let’s compute the Spearman’s Rank Correlation coefficient between two ranked variables X and Y that will illustrate a positive correlation:

spearmans rank correlation example

The closer the value is to ±1, the stronger the relationship between variables. The closer this value is to 0, the weaker the relationship/association is between both variables.

How is Spearman’s Rank Correlation Useful for Business Analysis?

Let’s look at two use cases to see the application and benefit of the Spearman’s Rank Correlation.

Use Case – 1

Business Problem: An educational organization wants to assess students’ rating, based on two different sources of observation.

Input Data: Students’ rating by department chairs and students’ rating by the faculty members.

Business Benefit: This analysis will help the organization to assess the consistency of the ratings provided by the two sources of student ranking and observation. If the ranking given by both observers is similar, the organization can put more faith in the ratings than if the observer ranking vary widely from one to the other. This will also reduce the chance of biased or unethical ranking systems.

Use Case – 2

Business Problem: A market research agency wants to cluster various survey responders into groups, based on the rank correlation output.

Input Data: Responses on brand loyalty containing values on a scale of 1 to 5, where 1 representing disloyal, 2 meaning somewhat disloyal and so on and respondent frequency of brand visits per month (here responders with visits above 10 per quarter can be ranked as “1” , between 8 to 10 as “2” and so on).

Business Benefit: If the values of brand visits and brand loyalty turn out to be positively correlated then the organization can cluster the ongoing frequently visiting customers into “brand loyal” segment and rarely visiting customers into “brand disloyal” segment. Upon identification of these disloyal customers, the organization can focus on converting ‘disloyal’ visitors to ‘loyal’ visitors.

The Spearman’s Rank Correlation is a measure of correlation between two ranked (ordered) variables. This method measures the strength and direction of association between two sets of data when ranked by each of their quantities and is useful in identifying relationships and the sensitivity of measured results to influencing factors.

About Smarten

The Smarten approach to business intelligence and business analytics focuses on the business user and provides Advanced Data Discovery so users can perform early prototyping and test hypotheses without the skills of a data scientist. Smarten Augmented Analytics tools include assisted predictive modelingsmart data visualizationself-serve data preparation and clickless analytics with natural language processing (NLP) for search analytics. All of these tools are designed for business users with average skills and require no special skills or knowledge of statistical analysis or support from IT or data scientists.

The Smarten approach to data discovery is powered by ElegantJ BI Business Intelligence Solutions, a representative vendor in multiple Gartner reports including the Gartner Research Market Guide to Self-Service Data Preparation, as a Niche BI and Analytics Vendor in the Gartner Report, Competitive Landscape in the BI Platforms and Analytics Software, Asia/Pacific, as a Representative Vendor in the Gartner Market Guide for Enterprise-Reporting-Based Platforms, and a Listed Vendor in the Other Vendors to Consider for Modern BI and Analytics, Gartner Report.

Original Post: What is Spearman’s Rank Correlation and How is it Useful for Business Analysis?

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