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An overview of stanines

Introduction

Using stanines as a measure for testing dates back to the 1940s. Stanine, literally means standard nine, giving us 9 bands of which the test scores are placed into. The normal distribution cure is a useful way to represent the stanines with each band having a width of 1/2 a standard deviation (excluding the 1st and 9th stanines at the outer edges).

Working out stanines for a set of test scores

It is possible to work out the stanine distributions for a set of test scores by doing the following:
1. Put all of the test scores into order from lowest to highest
2. Give the lowest 4% of test results a stanine 1, the next 7% will be allocated a stanine 2 and so forth... the following table provides the relationship between the percentage of test scores that are placed in each of the 9 stanine bands.

Stanines
Stanine 1 2 3 4 5 6 7 8 9
Percentage in each stanine band 4% 7% 12% 17% 20% 17% 12% 7% 4%

Bell curve
Source: http://assessments.lmi-usa.com/whytest/Staninesystem.asp

Interpreting stanine scores

Stanines can be useful, they provide a nice simple way of grouping students into fairly course but useful groups. They give a good representation of where a student is placed in relation to others in a group. The actual group the stanine score is representative of could be as small as the class of students sitting a test or as large as a representative sample of students that have been used to calculate expected norms of a test. The following scenarios are useful to work through in helping to build a clearer understanding of stanine scores. They are produced here with permission from Educational Measurement: Issues and Practice, Fall 1983 (John R. Hills - Florida State University).

Mary is a sixth grader. She received a stanine score of zero on her standardized test in mathematics. This means that Mary's score was very low com­ pared to other sixth graders. Is that correct?

No. Stanine scores are numbers from I to 9. There is no such thing as a stanine score of zero. A zero score reported as a stanine indicates that an error has been made.

Bill received a stanine score of 5 on the same standardized mathematics test that Mary took. He is also in the sixth grade. The score of 5 means that Bill is doing average work in mathematics, and he would be at the 50th percentile for sixth graders. Is that correct?

Yes and no. Stanine 5 is in the middle of the scale, and in that sense Bill got an average score on the test. However, each stanine represents a band of scores, not a specific score. The 5th stanine extends from the 40th to the 60th percentile. So Bill might be performing as low as the 40th percentile or as high as the 60th percentile but still receive a stanine of 5. However, because the stanine scale reflects a normal curve, the 40th percentile is usually only a few raw score points lower than the 60th percentile.

Pedro received a stanine score of 6.5 on the mathematics test. This score should be inter­ preted as being midway between the sixth and seventh stanines.

No. Stanines are represented by the single digit whole numbers, such as I, 2, and 3, never by numbers with decimal points. Except for the first and ninth sta­ nines, each stanine represents a narrow band of scores on the test. (The first andninth stanines may be very wide in terms of raw score points. Each extends to the beginning or end of the test, however far that may be.) Thus, a stanine of 6.5 does not exist. Anyone who uses such a number for a stanine has made an error.

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Source:  OpenStax, Understanding standardised assessment. OpenStax CNX. Apr 06, 2013 Download for free at http://cnx.org/content/col11511/1.6
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