Scribd
Upload
188 views15 pages

Spearman Rho for Categorical Data

Spearman's rho is a nonparametric measure of rank correlation used to assess the relationship between two categorical variables when the assumptions for Pearson's r are not met. It transforms the original scores into ranks before calculating the correlation coefficient. The document provides an example of using Spearman's rho to analyze the relationship between how nine people rated another person's attractiveness and how they rated their own attractiveness on a 10-point scale. The Spearman's rho value of 0.921 indicates a strong positive relationship, and the p-value of 0.00 shows that the correlation is statistically significant, meaning how people rate others' attractiveness is related to how attractive they believe themselves to be.

Uploaded by

Haley Xherie Cobrado
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PPTX, PDF, TXT or read online on Scribd
188 views15 pages

Spearman Rho for Categorical Data

Spearman's rho is a nonparametric measure of rank correlation used to assess the relationship between two categorical variables when the assumptions for Pearson's r are not met. It transforms the original scores into ranks before calculating the correlation coefficient. The document provides an example of using Spearman's rho to analyze the relationship between how nine people rated another person's attractiveness and how they rated their own attractiveness on a 10-point scale. The Spearman's rho value of 0.921 indicates a strong positive relationship, and the p-value of 0.00 shows that the correlation is statistically significant, meaning how people rate others' attractiveness is related to how attractive they believe themselves to be.

Uploaded by

Haley Xherie Cobrado
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PPTX, PDF, TXT or read online on Scribd
You are on page 1/ 15

CORRELATION ANALYSIS FOR

CATEGORICAL DATA
OBJECTIVES

 Describe Spearman rho.


 Analyze the relationship of categorical data using
appropriate measures.
 Interpret the results of an SPSS output.
CATEGORICAL VARIABLE

 is a variable that can take on one of a limited, and usually fixed


number of possible values, assigning each individual or other
unit of observation to a particular group or nominal category
on the basis of some qualitative property.
CATEGORICAL VARIABLE

 A categorical or discrete variable is one that has two or more


categories (values).
 There are two types of categorical variable, nominal and ordinal.
 A nominal variable has no intrinsic ordering to its categories.
 For example, gender is a categorical variable having two categories (male and
female) with no intrinsic ordering to the categories.
 An ordinal variable has a clear ordering.
 For example, temperature as a variable with three orderly categories (low,
medium and high).
SPEARMAN RHO

 Pearson’s r and Spearman’s rho are very similar.


 They are both correlation coefficients, interpreted in the same
way.
 Pearson’s r is used when your data meet the assumptions for a
parametric test.
 Spearman’s rho is used when your data do not conform to
these assumptions.
SPEARMAN RHO

 transforms the original scores into ranks before


performing further calculations.
SPEARMAN RHO

 Spearman's rank correlation coefficient or Spearman's


rho, named after Charles Spearman and

 often denoted by the Greek letter p (rho) or as rs


SPEARMAN RHO

 is a nonparametric measure of rank correlation (statistical


dependence between the rankings of two variables).

 It assesses how well the relationship between two variables can


be described using a monotonic function.
MONOTONIC MEANS….. OR MONOTONE FUNCTION

 is a function between ordered sets that preserves or reverses the


given order

Figure 1. A monotonically increasing Figure 2. A monotonically Figure 3. A function that is not


function. decreasing function. monotonic
Nine people were asked to rate the attractiveness of a target person, and then rate
themselves (myattrac) on a 10-point scale from 1 (awful) to 10 (wonderful).

attrac myattrac attrac myattrac

7.00 9.00 6.00 8.00

5.00 4.00 1.00 3.00

5.00 5.00 2.00 5.00

8.00 9.00 8.00 9.00

9.00 9.00
PROCEDURES ON HOW TO ANALYZE USING SPEARMAN RHO:

 Click analyze
 Click correlate
 Click bivariate
 Transfer the variable you wished to analyze
 Click spearman
 Click ok
RESULTS
WHAT DOES THE RESULTS REPRESENTS?

 rs = 0.921
 Denotes strong relationship
 p – value = 0.00
 significant
 The way we rate others according to their attractiveness is
related to how attractive we believe ourselves to be.
ANOTHER EXERCISE
BASED ON THE ANALYSIS:

1. What is the value of the correlation coefficient?

2. What is the achieved significance level?

3. What can you conclude from this analysis?

You might also like