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# Types of Derived Scores

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## Beth Viessman

on 29 September 2013

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#### Transcript of Types of Derived Scores

Notes
Ideas
Ideas
Ideas
Types of Derived Scores
By Beth Anne Viessman

Derived Scores
"Derived scores are obtained by using a raw score and expectancy table" (Overton, 2012).
Derived scores can be several types of scores (i.e. percentile ranks, standard scores, grade equivalents, age equivalents, or language quotients.
Derived scores obtain their meaning from large sets of data or scores.
Obtaining Derived Scores
Raw scores obtained during testing can be used to locate derived scores from the norm tables.
These scores may include percentile ranks, grade equivalents, standard scores with a mean of 100 or 50, and z scores (Overton, 2012).
Derived scores are different from other scores because it covers a wide range of scores. Other scores are specific and usually cover only one type of interpretation of the score.
You must be careful when using derived scores especially when it comes to grade equivalents and percentile ranks. You must make sure you use them correctly and interpret them correctly. If you don't use the scores correctly, your misinterpretation could change where a child gets placed.
Interpolating
Interpolating is dividing data into smaller units for developing tables of developmental scores (Overton, 2012).
This is helpful when interpreting data because it helps break a larger set of data into smaller sets. You can divide the data into similar categories or take the data needed to define one part of the data (i.e. obtain an average score for each month the students are in school.)
Interpolating makes it easier to see all the small pieces as well as the big picture of the data collected.
Calculating Variance
"Variance is the total amount a group of scores varies in a set of data.
Calculating variance is somewhat difficult but with proper examples anyone can calculate it with ease.
One great example is in our textbook: Assessing Learners with Special Needs: An Applied Approach. You can find this example on pg. 92-93.
Another great source for examples on how to calculate variance is Youtube.com. If you are a visual learner these will help you out.
Calculating Standard Deviation
"The standard deviation helps the teacher determine how much distance from the mean is typical and how much is considered significant" (Overton, 2012).
Standard deviation is the square root of the variance. Therefore it is important you calculate the variance before the standard deviation.
Below are a few examples of how to calculate standard deviation.
Interpreting Variance & Standard Deviation
By calculating variance you can then interpret how a group of scores varies in a set of data. This can be very helpful because it can give you an idea of how your students differ in their learning. It could show most of your students are in the same range together or their results may be spread over a wide range of scores from the other students.
You can interpret how far a student's score is from the mean by calculating the standard deviation. It can also help a teacher see the ones that are significantly farther from the mean. This could be interpreted as the student is struggling with the subject and may need more help.
References
Overton, Terry. Assessing Learners with Special Needs: An Applied Approach. Boston ; Munich [u.a.: Pearson, 2012. Print.
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