Spearman’s Rank Correlation Test

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Presentation transcript:

Spearman’s Rank Correlation Test Spearman's correlation coefficient, (also signified by rs) measures the strength of association between two ranked variables.

What are the assumptions of the test? You need two variables that are either ordinal, interval or ratio A second assumption is that there is a monotonic relationship between your variables.

The Big eg.) Ranks of 6 and 7 do not exist for English. These two ranks have been averaged ((6 + 7)/2 = 6.5) and assigned to each of these "tied" scores.

What does this mean? 0.67. This indicates a strong positive relationship between the ranks individuals obtained in the maths and English exam. That is, the higher you ranked in maths, the higher you ranked in English also, and vice versa.

Have a go with your resuts ! Distance from light Bubble # Rank Distance Rank d d2

The null hypothesis...... taking it further. The general form of a null hypothesis for a Spearman correlation is: H0: There is no association between the two variables [in the population]. For the example: H0: There is no association between maths and English marks. The statistical test determines whether you accept or reject the null hypothesis.

There is less than a 5% probability that the strength of the relationship you found (your rho coefficient) happened by chance. Table showing the critical values of rs at P = 0.05 for different numbers of paired values Spearman correlation does not provide you with any information about the strength of the relationship. Thus, achieving a value of p = 0.001, for example, does not mean that the relationship is stronger than if you achieved a value of p = 0.04.