Two panel of judges, X and Y, rank 8 brands of cooking oil as follows : Cooking oil type A B C D E F G H X 8 5 1 7 2 6 3 4 Y 6 3 4 8 5 7 1 2 Calculate the S...
Question 1 Report
Two panel of judges, X and Y, rank 8 brands of cooking oil as follows :
| Cooking oil type | A | B | C | D | E | F | G | H |
| X | 8 | 5 | 1 | 7 | 2 | 6 | 3 | 4 |
| Y | 6 | 3 | 4 | 8 | 5 | 7 | 1 | 2 |
Calculate the Spearmann's rank correlation coefficient.
Answer Details
The values given by X and Y are already ranks (1 to 8), so \(n = 8\). Form \(d = X - Y\) and \(d^2\).
| Oil | X | Y | \(d = X - Y\) | \(d^2\) |
|---|---|---|---|---|
| A | 8 | 6 | 2 | 4 |
| B | 5 | 3 | 2 | 4 |
| C | 1 | 4 | -3 | 9 |
| D | 7 | 8 | -1 | 1 |
| E | 2 | 5 | -3 | 9 |
| F | 6 | 7 | -1 | 1 |
| G | 3 | 1 | 2 | 4 |
| H | 4 | 2 | 2 | 4 |
| Total \(\sum d^2\) | 36 | |||
\(r_s \approx 0.57\) indicates a moderate positive agreement between the two panels of judges in ranking the brands of cooking oil.
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