Which judges agree most and less?

In statistics we use so-called correlations to see if things have a simpel relationship. For instance, if we are interested in the judgement of a candidate by Simon, Cheryl, Dannii or Louis, we might wonder whom of these four agrees most with the other judges.

Interestingly, we find that the two ladies hold the closest opinions about the candidates. So, if Cheryl is very enthousiastic about a certain performance, Dannii is likely to agree with her, and vice versa. The two guys, Simon and Louis, are actually the ones who hold most dissimilar opinions about the candidates.

Using quantitative numbers, we have the following correlations based on 50 observations of season 6's live shows, where a correlation coefficient is always between 0 and 1, where 1 indicates that the judges hold the exact same evaluations and zero the exact opposite.

Dannii and Cheryl: 0.71
Dannii and Louis: 0.55
Cheryl and Louis: 0.52

Dannii and Simon: 0.44
Cheryl and Simon: 0.37
Louis and Simon: 0.25

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