Spearman Rank Correlation: Calcium Tests Random collections of nine different solutions of a calcium compound were given to two laboratories A and B. Each laboratory measured the calcium content (in mmol. per liter) and reported the results. The data are paired by calcium compound
Compound | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Lab A | 13.33 | 15.79 | 14.78 | 11.29 | 12.59 | 9.65 | 8.69 | 10.06 | 11.58 |
Lab B | 13.17 | 15.72 | 14.66 | 11.47 | 12.65 | 9.60 | 8.75 | 10.25 | 11.56 |
(a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test.
(b) Use a 5% level of significance to test for a monotone relation (either way) between ranks. Interpret the results.
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