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Multiverse analysis

Multiverse analysis is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Multiverse analysis rather than just read about it. In short: Multiverse analysis is a scientific method that specifies and then runs a set of data-analytical choices, plausible alternative models or statistical tests for a single hypothesis. It is a method to address the issue that the "scientific process confronts researchers with a multiplicity of seemingly minor, yet nontrivial, decision points, each of which may introduce variability in research outcomes".

Key takeaways

  • Multiverse analysis belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Multiverse analysis to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Multiverse analysis from memory before moving on to harder problems.

Reference excerpt

Multiverse analysis is a scientific method that specifies and then runs a set of data-analytical choices, plausible alternative models or statistical tests for a single hypothesis. It is a method to address the issue that the "scientific process confronts researchers with a multiplicity of seemingly minor, yet nontrivial, decision points, each of which may introduce variability in research outcomes". A problem also known as Researcher degrees of freedom or as the garden of forking paths. It is a method arising in response to the credibility and replication crisis taking place in science, because it can diagnose the fragility or robustness of a study's findings. Multiverse analyses have been used in the fields of psychology and neuroscience. It is also a form of meta-analysis allowing researchers to provide evidence on how different model specifications impact results for the same hypothesis, and thus can point scientists toward where they might need better theory or causal models.

Details Multiverse analysis most often produces a large number of results that tend to go in all directions. This means that most studies do not offer consensus or specific rejection of an hypothesis. Its strongest utilities thus far are instead to provide evidence against conclusions based on findings from single studies or to provide evidence about which model specifications are more or less likely to cause larger or more robust effect sizes (or not). Evidence against single studies or statistical models, is useful in identifying potential false positive results. For example, a now infamous study concluded that female gender named hurricanes are more deadly than male gender named hurricanes. In a follow up study, researchers ran thousands of models using the same hurricane data, but making various plausible adjustments to the regression model. By plotting a density curve of all regression coefficients, they showed that the coefficient of the original study was an extreme outlier. In a study of birth order effects, researchers visualized a multiverse of plausible models using a specification curve which allows researchers to visually inspect a plot of all model outcomes against various model specifications. They could show that their findings supported previous research of birth order on intellect, but provided evidence against an effect on life satisfaction and various personality traits.

References

Worked examples

Example 1 — a first encounter with Multiverse analysis

Start with the simplest possible case. Write down what Multiverse analysis claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Multiverse analysis before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Multiverse analysis ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Multiverse analysis

In research
Multiverse analysis appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Multiverse analysis in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Multiverse analysis is common in secondary-school and first-year university syllabi. It links to neighbouring topics Multiverse, so understanding it makes those chapters shorter.
In everyday life
Look for Multiverse analysis outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Multiverse analysis in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Multiverse analysis means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Multiverse analysis out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Multiverse analysis in simple terms?

Multiverse analysis is a scientific method that specifies and then runs a set of data-analytical choices, plausible alternative models or statistical tests for a single hypothesis. It is a method to address the issue that the "scientific process confronts researchers with a multiplicity of seemingl…

Why does Multiverse analysis matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Multiverse analysis?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Multiverse analysis.

Tags

  • Multiverse

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