Answer to Question #151415 in Statistics and Probability for Usama Nadeem

Question

Two judges at a fete placed the ten entries for best fruit cakes competition in order as follows. What’s the relationship between them?
Entry A B C D E F G H I J
Judge 1 2 9 1 3 10 4 6 8 5 7
Judge 2 6 9 2 1 8 4 3 10 7 5

Answer 1

r=$1-\frac{6\sum d^2}{n(n^2-1)}$

d -4 0 -1 2 2 0 3 -2 -2 2

d² 16 0 1 4 4 0 9 4 4 4

=$1-\frac{6*(16+0+1+...+4)}{10(100-1)}$

=$1-\frac{6*46}{10*99}$

=0.7212

there is a strong positive relationship between the two judges.