Which of the following is used to assess the relationship between two ordinal variables ? 

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UGC NET Paper 2: Commerce 4th March 2023 Shift 2
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  1. Spearman's rho 
  2. Phi
  3. Cramer's V
  4. Chi-square

Answer (Detailed Solution Below)

Option 1 : Spearman's rho 
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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Detailed Solution

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The correct answer is Spearman's rho :

 Key Points

  • Spearman's rho :
    • The Spearman rank-order correlation coefficient (Spearman's correlation, for short) is a nonparametric measure of the strength and direction of association that exists between two variables measured on at least an ordinal scale.
    • It is denoted by the symbol rs (or the Greek letter ρ, pronounced rho).

Additional Information

  •  Chi-square
    • It is a statistical test used to examine the differences between categorical variables from a random sample in order to judge the goodness of fit between expected and observed results.
    • A chi-square test is a statistical test used to compare observed results with expected results. The purpose of this test is to determine if a difference between observed data and expected data is due to chance, or if it is due to a relationship between the variables you are studying.
  • Cramér's V
    • It is an effect size measurement for the chi-square test of independence. It measures how strongly two categorical fields are associated. 
    • Cramer's V must lie between 0 (reflecting complete independence) and 1.0 (indicating complete dependence or association) between the variables.
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