Spearman's rank practice

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What is Spearman's rank correlation coefficient?

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A non-parametric measure of rank correlation that assesses how well the relationship between two variables can be described using a monotonic function.

Tags

CCSS.HSS.ID.B.6A

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What values can Spearman's rank correlation coefficient take?

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The values range from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

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When should you not use Spearman's rank correlation coefficient?

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When the data follows a linear trend, as it is designed for monotonic relationships.

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CCSS.HSS.ID.C.9

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How do you handle tied ranks in Spearman's rank correlation?

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Assign the average of the ranks that the tied values would have received.

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What does a Spearman's rank correlation coefficient of 0.81 indicate?

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It indicates a strong positive correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

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What is the formula for calculating Spearman's rank correlation coefficient (r_s)?

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r_s = 1 - (6 * Σd^2) / (n(n^2 - 1)), where d is the difference between ranks and n is the number of observations.

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If two variables have a Spearman's rank correlation coefficient of -1, what does this imply?

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It implies a perfect negative correlation, meaning as one variable increases, the other decreases.

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What is the significance of a Spearman's rank correlation coefficient of 0?

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It indicates no correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

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How do you interpret a Spearman's rank correlation coefficient of 0.585?

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It indicates a moderate positive correlation between the two variables.

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What is the first step in calculating Spearman's rank correlation?

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Rank the data points for both variables.