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Criterion-Related Validity and Predictive Accuracy

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Reliability and Validity: Foundational RelationshipLinear Regression and Least Squares EstimationModern Validity Frameworks and Integrated Evidence
criterion-validity prediction utility-analysis

Core Idea

Criterion-related validity examines whether test scores predict or relate to relevant external outcomes (criteria). Predictive validity refers to forecasting future performance; concurrent validity relates to current outcomes. Correlation coefficients, regression coefficients, and utility analysis quantify these relationships.

Explainer

You've studied the reliability-validity relationship and know that validity comes in multiple forms, each answering a different question about what a test measures. You've also worked with linear regression, which lets you quantify the relationship between a predictor and an outcome. Criterion-related validity brings these concepts together in the most practically grounded form of validity evidence: does this test actually predict something that matters in the world?

The question criterion validity asks is concrete. If you have a cognitive ability test for job applicants, does it predict job performance? If you have an anxiety measure, does it predict who responds to treatment? Criterion-related validity is quantified as the correlation (or regression relationship) between test scores and a separate, meaningful outcome measure — the criterion. A test with high criterion validity is genuinely useful; one with low criterion validity, however theoretically motivated, gives you little practical traction.

Two forms are distinguished by timing. Predictive validity tests whether scores forecast future outcomes: administer the test now, wait, then measure the criterion outcome months or years later. The classic example is SAT scores predicting college GPA — a forward-in-time relationship. Concurrent validity measures the relationship between test scores and a criterion collected at the same time, such as a depression scale correlated with current clinician diagnosis. Concurrent validity is faster and cheaper to establish; predictive validity is usually more important, because the practical value of a test in selection or screening contexts is its ability to forecast, not just correlate with current standing.

Your regression background applies directly here. The validity coefficient — the correlation r between test and criterion — tells you the direction and strength of the relationship. But r² (the coefficient of determination) tells you the proportion of criterion variance accounted for, which is the more interpretable effect-size metric. A validity coefficient of 0.40 sounds substantial but accounts for only 16% of criterion variance. Utility analysis then asks a practical question: even a modest validity coefficient may justify using a test if the stakes are high, selection is competitive, or errors are costly. The economic value of a selection instrument depends jointly on the validity coefficient, the base rate of success in the population, and the selection ratio — how many positions there are relative to applicants.

Practice Questions 5 questions

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionProbability Density Functions and Continuous DistributionsCumulative Distribution FunctionsContinuous Random VariablesProbability Density FunctionsExpected ValueWeak Law of Large NumbersProbability Axioms and RulesConditional ProbabilityIndependence of EventsSampling DistributionsStandard Error of EstimatorsHypothesis Testing: Framework and LogicClassical Test Theory FoundationsReliability and Validity: Foundational RelationshipCriterion-Related Validity and Predictive Accuracy

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