Construct · 1 fields · 2 citations

standard error of measurement: a standalone construct

One name. One construct. A landmark on the map.

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standard errorof measurement1 CONSTRUCTStd. error of measurementSPEARMAN · 1904

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Psychometrics

How far an observed score typically strays from the true score

In classical test theory the standard error of measurement is the typical size of the gap between a person's observed score and their true score, that is, the standard deviation of the errors that would arise over repeated testing. It follows directly from reliability: it equals the score's standard deviation times the square root of one minus the reliability, so a more reliable test has a smaller standard error and tighter score bands. Spearman's The proof and measurement of association between two things introduced the true-score-plus-error reasoning this rests on, and Lord and Novick's Statistical theories of mental test scores gave its modern form. The referent is the expected magnitude of measurement error around a score, used to put confidence bands on an individual's result.[1][2]

Unit
The standard deviation of measurement errors, in the score's own units
Recovery means
Not applicable
Measured by
Computed from the score standard deviation and the reliability coefficient, or conditionally from the test information function

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Nearby constructs

Fisher information3 fields · 3 citationsinvariant · one construct, three systemsuniverse score1 fields · 2 citationsanchor · a single construct in one fieldattenuation4 fields · 4 citationsjingle · one word, four weakenings

References

  1. Spearman, C. (1904). The proof and measurement of association between two things. The American Journal of Psychology, 15(1), 72–101. https://doi.org/10.2307/1412159
  2. Lord, F. M., & Novick, M. R. (1968). Statistical theories of mental test scores. Addison-Wesley. ISBN 9781593119348

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