### Percentile Ranks Essay

Length: 2 pages Sources: 3 Subject: Education - Mathematics Type: Essay Paper: #39975758 Related Topics: Mathematics, Statistics, Math, Descriptive

#### Excerpt from Essay :

¶ … person's ability/skill/standing relative to other people in order to design an intervention (Cohen & Swerdlik, 2013; Runyon, Coleman, & Pittenger, 2000). Summary statistics (descriptive statistics) allow for the assessor or researcher to summarize the raw data and scores from people being tested. The percentile rank or percentile score represents a person standing relative to other individuals on a particular test (Cohen & Swerdlik, 2013). There are some drawbacks to percentile scores. Obviously if the percentile rank is obtained without consideration for the data then the percentile rank may not be a meaningful or accurate summary statistic. For example, if one uses a standard distribution such as a Z. distribution to determine the percentile rank of a particular score and the distribution of raw scores is not normal then the percentile rank will not be an accurate reflection of the person standing on that particular measure (Huck, 2012). Perhaps, one of the biggest mistakes made in assessment and testing is to treat...

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This actually happens often on physiological measures such as measures of reaction time, which is typically a positively skewed distribution where the majority of people being tested score at the lower end of the distribution and fewer people scoring at the higher-end (Runyon et al., 2000). Transforming a highly skewed distribution into a Z. distribution results in an inaccurate representation of the scores (Cohen & Swerdlik, 2013). However, just as a raw score on a test is often meaningless without some comparison, a percentile rank is also meaningless in the abstract (Huck, 2012). For example, if someone claims to have scored at the 99th percentile on a test of aptitude for mathematics this particular statement is relatively meaningless. Suppose that the reference group on this particular test is composed of people who only completed the fourth grade. Knowing the reference group is extremely important. If someone claims to be at the 99th percentile on a test of mathematics aptitude that might sound impressive until you learn that the reference group for that test is fourth-graders. Thus, simply stating that one has scored at a particular percentile rank is meaningless without knowing the reference group. The biggest drawback in interpreting percentile scores is interpreting them in light of an inappropriate reference group or no reference group at all (Cohen & Swerdlik, 2013; Huck,…

###### Sources Used in Documents:

References

Cohen, J. R & Swerdlik, M. (2013). Psychological testing and assessment: An introduction to tests and measurements (8th Ed). New York: McGraw Hill Education.

Huck, S.W. (2012). Reading statistics and research (6th ed.).Columbus, OH: Allyn & Bacon.

Runyon, R.P., Coleman, K.A., & Pittenger, D.J. (2000). Fundamentals of behavioral statistics

(9th ed.). New York: McGraw-Hill.

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