True Experimental Design and Randomization

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experimental-design randomization causal-inference

Core Idea

True experiments have three defining features: manipulation of an independent variable, random assignment to conditions, and measurement of the dependent variable. Random assignment ensures groups are equivalent before manipulation, allowing causal inference because confounding variables are equally distributed across conditions. The logic is probabilistic, not deterministic.

How It's Best Learned

Design a true experiment from scratch, specifying the IV, DV, random assignment procedure, and control/treatment groups. Review examples showing how randomization protects against confounds. Compare randomized vs. non-randomized studies on the same topic.

Common Misconceptions

Explainer

Research design selection, your prerequisite, introduced the landscape of strategies for establishing causal relationships. The core challenge is always confounding: when you observe that A is associated with B, a third variable C might be causing both, making it look like A causes B when it does not. The true experiment solves this problem more decisively than any other design, and its mechanism is random assignment — not random sampling of participants from a population, but random *allocation* of participants to conditions.

The three defining features form a logical unit. Manipulation means the researcher actively controls which level of the independent variable each participant receives — a treatment or placebo, a high or low stimulus, an intervention or standard care. Without manipulation, you are observing what naturally exists rather than creating a controlled contrast. Random assignment means that which condition a participant enters is determined by a chance procedure — not by participant preference, researcher judgment, or any systematic factor. Measurement of the dependent variable then captures outcomes in both conditions, and any difference is attributed to the manipulation.

Random assignment's power comes from probability theory. Before the manipulation begins, the groups are equivalent in expectation across *all* variables — not just the ones you measured and controlled for, but every possible confound, including variables you didn't think to measure and variables you don't even know exist. Participant intelligence, socioeconomic background, prior experience, personality, and thousands of other factors are distributed approximately equally across conditions by chance. Any subsequent difference in outcomes can therefore be attributed to the manipulation itself. This is why experiments, and only experiments, straightforwardly support causal inference: you know the groups were comparable before the treatment; differences after treatment must be due to the treatment.

The critical nuance is that randomization is probabilistic, not a guarantee. With small samples, random allocation will leave some imbalance between conditions — this is why statistical testing remains necessary even in randomized experiments. The test does not check whether the manipulation worked; it checks whether the observed difference between conditions is larger than what chance variation alone would produce. A second important limit is ethical: you cannot randomly assign people to childhood poverty, trauma exposure, childhood abuse, or many other variables of psychological interest. These constraints force quasi-experimental and observational designs, which approximate experimental logic through matching, regression adjustment, or natural experiments. Understanding the true experiment is essential precisely because it defines the gold standard against which every other design's limitations are measured.

Practice Questions 5 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication 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 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-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 IntroductionTrigonometric 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 VariablesNormal DistributionCentral Limit TheoremConfidence Intervals for MeansZ-Tests and T-Tests for MeansOne-Sample Z-Test for MeansOne-Sample and Two-Sample T-TestsInferential Statistics in PsychologyEffect Size and Statistical PowerSample Size Determination in Research PlanningLiterature Review and Research SynthesisHypothesis Construction: Directional and Nondirectional PredictionsOperationalizing Independent and Dependent VariablesConstruct Definition and Measurement DevelopmentConstruct Validity and Measurement ValidityConstruct Validity and Operationalization of Psychological ConstructsVariables: Definition, Operationalization, and MeasurementSelecting and Matching Research Designs to QuestionsTrue Experimental Design and Randomization

Longest path: 91 steps · 429 total prerequisite topics

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