Spearman's Rank Correlation Coefficient (Edexcel A-Level Further Mathematics): Quizzes

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Spearman's Rank Correlation Coefficient
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When is it appropriate to use Spearman's rank correlation coefficient?

When comparing subjective judgments or inconsistent raw scores

If Judge A ranks a contestant 3rd and Judge B ranks them 1st, what is the difference dd?

d=2d = 2

If dd values are 2, 2, 2, -4, -2, what is ∑d2\sum d^2?

3232

What is the formula for Spearman's rank correlation coefficient rsr_s?

rs=1−6∑d2n(n2−1)r_s = 1 - \frac{6 \sum d^2}{n(n^2 - 1)}

When interpreting Spearman's coefficient, which word should be used instead of 'correlation'?

Agreement

What does rs=−0.6r_s = -0.6 indicate about two judges' rankings?

Fairly strong disagreement

What is coding in the context of data analysis?

Transformation to make data easier to work with and analyse

If H=100hH = 100h and h=0.03h = 0.03, what is HH?

33

What is the coded regression equation for LL on HH in the example?

L=1.1+1.4HL = 1.1 + 1.4H

Given L=l−1000L = l - 1000 and L=1.1+1.4(100h)L = 1.1 + 1.4(100h), what is the equation for ll?

l=1001.1+140hl = 1001.1 + 140h

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