# MASH : Maths and Stats Help

### Spearman's Rho (ρ) Correlation

#### Introduction

A Spearman's 'rho' Correlation compares the relationships between two variables, used for Ordinal level data or higher.

It is a non-parametric test and therefore suitable for non-parametric data. If either of your two variables are not parametric, you would use this test over the Pearsons. If both of your variable are parametric you could consider Pearson's 'r' Correlation.

To check if your data is parametric, please check out the dedicated guide: Parametric or Not Guide (PDF)

#### Test Procedure

1. Click Analyze > Correlate > Bivariate

2. Within the 'Bivariate Correlations' window, select the two variables you intend to analyse and move them to the 'Variables' box using the blue arrow.

3. Unselect Pearson and select Spearman as the Correlation Coefficient.

4. Click OK.

#### Results

SPSS will generate one Correlations table:

##### Correlations

This table shows the three statistics we need to report when running a Spearman's 'rho' correlation, the Correlation Coefficient (Correlation), the significance/ p-value (Sig (2-tailed)), and the sample size (N)

## Reporting the Results in APA Formatting

Alongside interpreting the p value for significance, you will also need to interpret the strength and direction of the relationship. To do this you would use a correlation strength table. We have an example of this in the PDF below, however we recommend using a table from a text book (check either your reading list or the book recommendations we have on our site).

The relationship between the length of a porcupine and its number of spines was examined. A Spearman's 'Rho' Correlation indicated that there was a significant and strong positive relationship,  ρ = .69, p < .001, N = 31.