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Reliability: Introduction. Reliability Session. Definitions & Basic Concepts of Reliability Theoretical Approaches Empirical Assessments of Reliability Interpreting Coefficients Test Refinement and Reliability. Conceptions of Reliability. “My car won’t start!”. “He’s often late!”. . .
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Reliability Session • Definitions & Basic Concepts of Reliability • Theoretical Approaches • Empirical Assessments of Reliability • Interpreting Coefficients • Test Refinement and Reliability
Conceptions of Reliability “My car won’t start!” “He’s often late!” S.E.M.
Components of Measurement Measured Value = True Value + Systematic Error (Bias) + Random Error The usefulness of a measure depends on the ratio of the true value to any error variance that it produces
Classical Test Theory • Random error vs. systematic, or bias • Classical theory assumptions: • Error independent of score • Mean of errors = 0 • Observed score = true score + error • Random errors tend to cancel out if sufficient observations made
Internal Consistency • Logic: problem of change over time • Alternate forms • Split-half • Kuder-Richardson & alpha • Internal consistency • Item-total correlations • Number of items & reduction • in error term • Spearman-Brown formula reliability # items
Sources of Variance:Which to Include in Estimating Reliability? • Error • Patients • Observers • Time • Measurement instrument
Reliability Subject Variability Subject variability + Measurement Error Reliability = or, Subject Variability Subject Var. + Observer Variability + Meas’t Error
Generalizability Theory • Separates sources of variability: • Observer inconsistency • Between observers • Subject change over time • Quantifies these • Helps to show how to optimize design (and administration) of test given these performance characteristics.
Reliability versus Sensitivity of a Measurement Metaphor of the combs
Statistics to use: ICC vs. Pearson r ICC = 1.0; r = 1.0 r = 1.0; ICC < 1.0
What is the Reliability when: • Every student is rated “above average” • Physician A rates every BP as 5 mm Hg higher than physician B • The measure is applied to a different population • The observers change • The patients do, in reality, improve over time