How are tied scores handled in Spearman's rho ranking?

• A. Ignore them and continue ranking.
• B. Give them a rank of one.
• C. Allocate those scores the same rank using the average rank.
• D. Assign them the highest rank possible.

Answer: (C)

In Spearman's rho, tied scores are handled by allocating them the same rank, but the rank assigned is the average of the ranks that those tied scores would have received if they were not tied. This method ensures that all scores are represented in a way that maintains the integrity of the ranking process.

For instance, if two scores are tied for the second position, they would both receive a rank of 2.5, as this is the average of the ranks that would have been assigned (2 and 3). This approach avoids any bias that could occur from ignoring tied scores or arbitrarily assigning a rank, thus preserving the validity of the correlation computation in Spearman's rank-order correlation coefficient. This averaging method ensures that the influence of tied scores is accounted for appropriately while still reflecting the overall rank order in the data.