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All measurement involves uncertainty (just ask Hiesenberg). The purpose of statistics is to understand and quantify the error in order to know when changes in measured quantities are unlikely to have occurred by chance (random error) alone.

All test scores contain error, which is commonly reported as the standard error of measurement (SEM).

The formula for the SEM is:

Standard deviation X Square root (1-coefficient of reliability).

Test results are commonly reported as the test score plus/minus the SEM.

For more on the standard error of measurement see: standard error of measurement: wikipedia.

The SEM is used the calculation of the Reliable Change Index.

-- JebBrown - 03 Mar 2007



-- WikiGuest - 06 Mar 2020

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