Which of the following represent Standard Error of Measurement (SEM)?

(A) Validity Statistic

(B) Degree to which a person’s score change as a result of errors of measurement

(C) Reliability Statistic

(D) Estimated score vary from the Criterion score

Choose the correct answer from the options given below : 

The Standard error of measurement (SEM) estimates how repeated measures of a person on the same instrument tend to be distributed around his or her “true” score. The true score is always an unknown because no measure can be constructed that provides a perfect reflection of the true score.

Key Points

Following represent Standard Error of Measurement (SEM)

• Reliability Statistic:
  • Reliability, theoretically speaking, is the relationship (correlation) between a person’s score on parallel (equivalent) forms.
  • As more error is introduced into the observed score, the lower the reliability will be.
  • As measurement error is decreased, reliability is increased.
  • Standard Error of Measurement is directly related to a test’s reliability: The larger the SEM, the lower the test’s reliability.
  • If test reliability = 0, the SEM will equal the standard deviation of the observed test scores.
  • If test reliability = 1.00, the SEM is zero.
• Degree to which a person’s score change as a result of errors of measurement:
  • The confidence limits of a measurement are the limits between which the measurement error is with a probability P.
  • They are usually displayed as error bars on a graph. A 95% confidence limit means that there is only a 5% chance that the true value is NOT included within the span of the error bar.
  • This is a way of visualizing uncertainty in summary points plotted in a graph.

Therefore we can conclude that the correct answer is B and C only.​​Additional Information

Statistical Validity is the extent to which the conclusions drawn from a statistical test are accurate and reliable.