Spearman’s Rank Coefficient of Correlation

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  • Q1

    If the values of X and Y have been ranked and we compute product moment correlation between ranks of X and Y, will this be equal to the value of rk?

    Marks:1
    Answer:

    If the values of X and Y have been ranked and we compute product movement correlation between ranks of X and Y, this correlation will be equal to the value of rk.

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  • Q2

    What are the limits of rk?

    Marks:1
    Answer:

    The limits of rk are -1 and +1.

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  • Q3

    Define Spearman’s rank correlation.

    Marks:1
    Answer:

    Spearman’s rank correlation may be defined as a measure of linear associations between ranks assigned to individuals or objects according to their attributes.

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  • Q4

    Five competitors in a beauty contest were ranked by two judges in the following order:

    Judge A

    3

    1

    4

    5

    2

    Judge B

    5

    3

    1

    2

    4

    Calculate coefficient of rank correlation.

    Marks:3
    Answer:

    calculation of coefficient of rank correlation

    Ranking of judge A

    Ranking of judge B

    Difference in Ranks (R1-R2)

    Square of Rank Difference (D2)

    3

    5

    -2

    4

    1

    3

    -2

    4

    4

    1

    3

    9

    5

    2

    3

    9

    2

    4

    -2

    4

    ∑D2=30

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  • Q5

    Who has devised the Rank coefficient of correlation?

    Marks:1
    Answer:

    Rank coefficient of correlation was devised by Charles Spearman. This method is specially useful when the actual magnitudes or item values are not given and only their ranks in the series are known.

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