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Replication and the Open Science Movement

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Inferential Statistics in PsychologyEffect Size and Statistical Power+2 morePreregistration and Research Transparency PlanningPublication Bias and the File Drawer Problem
replication replication-crisis open-science preregistration publication-bias

Core Idea

Replication — repeating a study to see if findings hold — is foundational to science, yet psychology's 'replication crisis' revealed that many published findings fail to replicate reliably. Contributing factors include publication bias (journals favoring positive results), p-hacking (testing many analyses until p < .05), and low statistical power. The Open Science movement responds with preregistration (registering hypotheses before data collection), open data sharing, and registered reports. Meta-analysis — quantitatively synthesizing many studies — provides more reliable effect estimates than any single study.

How It's Best Learned

Read the Reproducibility Project (OSC, 2015) summary and identify what percentage of studies replicated. Discuss what structural incentives in academia contribute to the problem and which reforms address each incentive.

Common Misconceptions

Explainer

Your training in inferential statistics gave you the mathematical framework for p-values and significance thresholds. Now consider what happens when that framework meets the real incentive structure of academic publishing. A single study with p < .05 is publishable — interesting, novel, confirms a theory. A replication attempt that fails to find the same effect is not interesting to most journals — it goes in the file drawer. The result of thousands of researchers making thousands of independent decisions about what to submit, and thousands of editors making thousands of decisions about what to accept, is a published literature that is systematically skewed toward positive results. This is publication bias, and it corrupts the knowledge base even when every individual researcher is acting honestly.

The 2015 Reproducibility Project (Open Science Collaboration) made the scale of the problem concrete: a team of researchers attempted to replicate 100 studies from top psychology journals and found that only about 36-39% produced statistically significant results matching the original. Average effect sizes in the replications were roughly half those in the originals. This is the replication crisis. Understanding *why* this happened requires connecting two concepts from your inferential statistics training. First, underpowered studies — designed with samples too small to reliably detect realistic effect sizes — produce high false-negative rates, but when they do find effects, those effects are likely overestimates (the "winner's curse": only the largest-by-chance results clear the significance threshold in small samples). Second, p-hacking — also called "researcher degrees of freedom" — exploits the fact that researchers make many analytic decisions (when to stop collecting data, which covariates to include, how to handle outliers) that each slightly affect the p-value. When these decisions are made while looking at the data and are reported selectively, p < .05 becomes much easier to achieve than it should be.

The Open Science movement addresses these structural problems with a set of reforms that change what gets recorded before the data are collected and what gets shared afterward. Preregistration requires researchers to specify their hypotheses, sample size, primary outcomes, and analysis plan in a time-stamped public record before collecting data. This eliminates the most serious form of p-hacking, because deviations from the plan are visible. A stronger variant, the registered report, gets the preregistered design peer-reviewed and accepted for publication *before* data collection, with the journal committing to publish the results regardless of outcome. This directly attacks publication bias by decoupling the publication decision from whether the results are positive. Open data and open materials sharing allow independent researchers to verify analyses and attempt methodologically faithful replications without having to reconstruct everything from scratch.

It would be a mistake to interpret the replication crisis as evidence that psychological science is worthless or that individual findings cannot be trusted. The more precise lesson is that single studies — especially small ones in competitive research areas — should be treated as preliminary evidence, not established facts. Meta-analysis, which quantitatively synthesizes effect sizes across many studies using weighting procedures that account for sample size, provides more stable estimates than any individual study. The replication crisis has, ultimately, been productive: it has produced a generation of methodologically sophisticated researchers, a more skeptical reading culture, and a set of institutional reforms that, when adopted, genuinely increase the credibility of published findings.

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 ProbabilityConditional DistributionsBivariate Normal DistributionNormal DistributionStandard Normal Distribution and Z-ScoresHypothesis Testing FundamentalsExperimental Research DesignControl and Experimental GroupsRandom AssignmentConfounding Variables and Internal ValidityBlinding and Demand CharacteristicsValidity in Psychological MeasurementInferential Statistics in PsychologyEffect Size and Statistical PowerReplication and the Open Science Movement

Longest path: 107 steps · 543 total prerequisite topics

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