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Repeated values: Resolving ties in ranks - Correlation And Regression Analysis
Research Methodology - Correlation And Regression Analysis
Repeated values: Resolving ties in ranks - Correlation And Regression Analysis
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When ranks are awarded to candidates, it is possible that certain candidates obtain equal ranks.
Repeated values: Resolving ties in ranks
When ranks are awarded to candidates, it is possible that certain candidates obtain equal ranks. For example, if two or three, or four candidates secure equal ranks, a procedure that can be followed to resolve the ties is described below.
We follow the Average Rank Method. If there are n items, arrange them in ascending order or descending order and give ranks 1, 2, 3, …, n. Then look at those items which have equal values. For such items, take the average ranks.
If there are two items with equal values, their ranks will be two consecutive integers, say s and s + 1. Their average is { s + (s+1)} / 2. Assign this rank to both items. Note that we allow ranks to be fractions also.
If there are three items with equal values, their ranks will be three consecutive integers, say s, s + 1 and s + 2. Their average is { s + (s+1) (s+2) } / 3 = (3s + 3) / 3 = s + 1. Assign this rank to all the three items. A similar procedure is followed if four or more number of items has equal values.
When ranks are awarded to candidates, it is possible that certain candidates obtain equal ranks. For example, if two or three, or four candidates secure equal ranks, a procedure that can be followed to resolve the ties is described below.
We follow the Average Rank Method. If there are n items, arrange them in ascending order or descending order and give ranks 1, 2, 3, …, n. Then look at those items which have equal values. For such items, take the average ranks.
If there are two items with equal values, their ranks will be two consecutive integers, say s and s + 1. Their average is { s + (s+1)} / 2. Assign this rank to both items. Note that we allow ranks to be fractions also.
If there are three items with equal values, their ranks will be three consecutive integers, say s, s + 1 and s + 2. Their average is { s + (s+1) (s+2) } / 3 = (3s + 3) / 3 = s + 1. Assign this rank to all the three items. A similar procedure is followed if four or more number of items has equal values.
Tags : Research Methodology - Correlation And Regression Analysis
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