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Criterion-Related Validity and Predictive Accuracy

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Reliability and Validity: Foundational RelationshipLinear Regression and Least Squares Estimation→→Modern 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 Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Probability Density Functions and Continuous Distributions → Cumulative Distribution Functions → Continuous Random Variables → Probability Density Functions → Expected Value → Weak Law of Large Numbers → Probability Axioms and Rules → Conditional Probability → Independence of Events → Sampling Distributions → Standard Error of Estimators → Hypothesis Testing: Framework and Logic → Classical Test Theory Foundations → Reliability and Validity: Foundational Relationship → Criterion-Related Validity and Predictive Accuracy

Longest path: 100 steps · 527 total prerequisite topics

Prerequisites (2)

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