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Single-Case and Intensive Within-Subject Designs

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Selecting and Matching Research Designs to QuestionsVariables: Definition, Operationalization, and Measurement→
single-case within-subject ABAB N-of-1

Core Idea

Single-case designs (ABAB, multiple-baseline, changing-criterion) intensively study one individual across repeated measurements and condition changes. They establish causality by showing that behavior changes when treatment is introduced and reverts when withdrawn. Suitable for clinical practice, organizational consultancy, and understanding individual mechanisms when group designs are impractical.

How It's Best Learned

Study a published single-case design and trace how repeated measurements reveal treatment effects. Design your own single-case study specifying baseline, treatment, and reversal phases. Discuss when individual-level evidence is clinically or theoretically crucial.

Common Misconceptions

Explainer

From your study of research design selection, you know that choosing a design depends on matching the research question to the appropriate unit of analysis, the available sample, and the causal claims you want to make. Most experimental designs achieve causal inference by averaging across many participants — random assignment distributes individual differences across conditions, so any systematic outcome difference is attributable to the manipulation. Single-case designs take a different route to the same destination: instead of averaging across people, they accumulate many observations *within* one person over time, using the person's own stable baseline as the counterfactual.

The foundational logic is reversal. In the simplest ABAB design, the researcher establishes a baseline phase (A) by measuring the target behavior repeatedly until it is stable. Then treatment is introduced (B), and the behavior is measured repeatedly again. If the behavior changes with the introduction of treatment, that's suggestive — but it could be coincidence or a natural trend. The critical move is withdrawal: the treatment is removed (returning to A), and if the behavior reverts toward baseline, the pattern strongly implicates treatment as the cause. Reintroducing treatment (second B) and seeing the behavior change again creates a replication within the single case, making chance explanations increasingly implausible. Four phase changes within one participant, each moving in the predicted direction, provide convincing causal evidence.

The multiple-baseline design is used when reversal is impractical or unethical — you wouldn't want to withdraw a successful intervention for self-injury just to prove a point. Multiple-baseline designs introduce treatment to different behaviors, settings, or individuals at staggered time points while keeping the others at baseline. If each target behavior changes only when treatment is introduced to it (and not before), this staggered replication rules out history, maturation, and other time-based confounds. The logic is "if it only moves when I push it, I must be doing the pushing." No reversal is needed; temporal coincidence of change and intervention across multiple baselines makes the causal argument.

Operational measurement — your other prerequisite — matters enormously here because inference depends entirely on the reliability and precision of the dependent variable across hundreds of repeated observations. Unlike group designs where measurement error averages out across participants, in single-case work each data point must be trustworthy. Poor operationalization introduces noise that masks true treatment effects; inconsistent measurement creates artifactual trends that mimic treatment responses. The design's causal power is proportional to measurement quality. This is why single-case researchers invest heavily in behavioral coding procedures, inter-rater reliability checks, and observer calibration.

Single-case designs are not purely local — they can support generalization through systematic replication: applying the same treatment protocol with the same design across a series of individuals, settings, and clinicians. When a therapeutic technique works in ABAB replications with 20 individuals across five different clinicians in three different settings, the accumulation of evidence rivals the external validity of many randomized controlled trials, while also providing mechanistic insight into how treatment works at the individual level. This is why single-case methodology dominates applied behavior analysis, clinical psychology for rare conditions, and educational interventions for individual students — contexts where understanding and helping the individual is both the practical and scientific goal.

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 → Conditional Distributions → Bivariate Normal Distribution → Normal Distribution → Standard Normal Distribution and Z-Scores → Hypothesis Testing Fundamentals → Experimental Research Design → Control and Experimental Groups → Random Assignment → Confounding Variables and Internal Validity → Blinding and Demand Characteristics → Validity in Psychological Measurement → Inferential Statistics in Psychology → Effect Size and Statistical Power → Sample Size Determination in Research Planning → Literature Review and Research Synthesis → Hypothesis Construction: Directional and Nondirectional Predictions → Operationalizing Independent and Dependent Variables → Construct Definition and Measurement Development → Construct Validity and Measurement Validity → Construct Validity and Operationalization of Psychological Constructs → Variables: Definition, Operationalization, and Measurement → Selecting and Matching Research Designs to Questions → Single-Case and Intensive Within-Subject Designs

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