Multiple judges or comparisons

Question involves three or more judges/assessors and asks to compare agreement between different pairs using Spearman's coefficient values.

2 questions · Standard +0.0

5.08e Spearman rank correlation
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OCR S1 2009 January Q4
7 marks Moderate -0.3
4 Three tutors each marked the coursework of five students. The marks are given in the table.
Student\(A\)\(B\)\(C\)\(D\)\(E\)
Tutor 17367604839
Tutor 26250617665
Tutor 34250635471
  1. Calculate Spearman's rank correlation coefficient, \(r _ { \mathrm { s } }\), between the marks for tutors 1 and 2 .
  2. The values of \(r _ { \mathrm { s } }\) for the other pairs of tutors, are as follows. $$\begin{array} { c c } \text { Tutors } 1 \text { and 3: } & r _ { \mathrm { s } } = - 0.9 \\ \text { Tutors } 2 \text { and 3: } & r _ { \mathrm { s } } = 0.3 \end{array}$$ State which two tutors differ most widely in their judgements. Give your reason.
Edexcel FS2 AS 2020 June Q2
9 marks Standard +0.3
  1. Mary, Jahil and Dawn are judging the cakes in a village show. They have 5 features to consider and each feature is awarded up to 5 points. The total score the judges gave each cake are given in the table below.
CakeA\(B\)C\(D\)\(E\)\(F\)\(G\)\(H\)I
Mary19172310211512814
Jahil221821102420161215
Dawn911618915132013
  1. Calculate Spearman's rank correlation coefficient between Mary's scores and Jahil's scores.
  2. Calculate Spearman's rank correlation coefficient between Jahil's scores and Dawn's scores. The judges discussed their interpretation of the points system and agreed that the first prize should go to cake \(C\).
  3. Explain how different interpretations of the points system could give rise to the results in part (a) and part (b).