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By: Teri Smith
 The simplest, most non-technical way to 
think of the standard error of measurement 
(SEM) is the following: 
 If a single student were to take the same test 
repeatedly (with no new learning taking place 
between testings and no memory of question 
effects), the standard deviation of his/her 
repeated test scores is denoted as the 
standard error of measurement.
You use SEM to determine how reliable a test 
is and if you can have confidence in the 
scores you get from that test. 
You would use SEM in your classroom to find 
out how much that students score could 
change on re-testing with the same test or 
something close to the same test. 
 The test scores could be considered an 
estimate of the student’s achievement level.
This video is about Standard Error of 
Measurement and how to calculate it and 
why you may use Standard Error Of 
Measurement 
 https://www.youtube.com/watch?v=PZDD 
Wd-jUzM 
 https://www.youtube.com/watch?v=Nuxg-qoqPTw
www.tea.state.tx.us/WorkArea/linkit.aspx 
?LinkIdentifier=id&ItemID=... 
 http://www.indiana.edu/~best/bweb3/test-reliability/
By: Teri Smith
 “True” Score is a calculation that is 
founded in theory and research that the 
farther from a test mean a particular 
student’s score is , the greater the chance 
for error within the obtained score. (123) 
This is just another way of calculating a 
students score but is supposed to be a 
better estimation than Standard Error of 
Measurement.
 “True” score is a powerful model for 
measurement it reminds us that most 
measurement has an error component. 
 The estimated “true” scores can be used to find 
a range of scores by using the standard error of 
measurement for the estimated “true” score.
Estimated True Score= M + r( X – M) 
• M = mean of group of which person is a member 
• r = reliability coefficient 
• X = obtained score
 Using the formula for estimated “true” score, 
the calculation for an obtained score of 115 
with an r of .78 and a mean of 100. 
• Estimated “true” score = 100 + .78 (115 – 100) 
=100 + .78 (15) 
=100 + .11.7 
=111.7 
In this example, 111.7 is closer to the mean of 100 than 
115.
Assessing Learners with Special Needs an 
Applied Approach. 
 http://www.socialresearchmethods.net/kb/tr 
uescor.php

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Standard error of measurement

  • 2.  The simplest, most non-technical way to think of the standard error of measurement (SEM) is the following:  If a single student were to take the same test repeatedly (with no new learning taking place between testings and no memory of question effects), the standard deviation of his/her repeated test scores is denoted as the standard error of measurement.
  • 3. You use SEM to determine how reliable a test is and if you can have confidence in the scores you get from that test. You would use SEM in your classroom to find out how much that students score could change on re-testing with the same test or something close to the same test.  The test scores could be considered an estimate of the student’s achievement level.
  • 4. This video is about Standard Error of Measurement and how to calculate it and why you may use Standard Error Of Measurement  https://www.youtube.com/watch?v=PZDD Wd-jUzM  https://www.youtube.com/watch?v=Nuxg-qoqPTw
  • 5. www.tea.state.tx.us/WorkArea/linkit.aspx ?LinkIdentifier=id&ItemID=...  http://www.indiana.edu/~best/bweb3/test-reliability/
  • 7.  “True” Score is a calculation that is founded in theory and research that the farther from a test mean a particular student’s score is , the greater the chance for error within the obtained score. (123) This is just another way of calculating a students score but is supposed to be a better estimation than Standard Error of Measurement.
  • 8.  “True” score is a powerful model for measurement it reminds us that most measurement has an error component.  The estimated “true” scores can be used to find a range of scores by using the standard error of measurement for the estimated “true” score.
  • 9. Estimated True Score= M + r( X – M) • M = mean of group of which person is a member • r = reliability coefficient • X = obtained score
  • 10.  Using the formula for estimated “true” score, the calculation for an obtained score of 115 with an r of .78 and a mean of 100. • Estimated “true” score = 100 + .78 (115 – 100) =100 + .78 (15) =100 + .11.7 =111.7 In this example, 111.7 is closer to the mean of 100 than 115.
  • 11. Assessing Learners with Special Needs an Applied Approach.  http://www.socialresearchmethods.net/kb/tr uescor.php