In: Statistics and Probability
Give an example of when percentile ranks might be misleading. Why would it be misleading?
Solution:-) Percentile ranks are non linear transformation in the sense that they define percentile scores with respect to a norm or reference group. Percentage of examines in a group who score below the trait value given in the question.
Areas where it found misleading:-
1) It cannot be used while dealing with means and standard deviation as we know that percentiles have rectangular distribution and if assume that the size is large nad many people have scored same marks then this may concluse to exxagerated conclusions.
2)It cannot be use when ordinal and nominal data is present such as age and grade scores .
3) If the distribution of two scores are different in shape , then their comparisons using percentile ranks can be misleading.
4) They deals with the non normalized scores whcih can effect teh results.
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