mathematics

MAGIC criteria

MAGIC criteria is a mathematics 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 MAGIC criteria rather than just read about it. In short: The MAGIC criteria are a set of guidelines put forth by Robert Abelson in his 1995 book Statistics as Principled Argument. In this book he posits that the goal of statistical analysis should be to make compelling claims about the world and he presents the MAGIC criteria as a way to do that.

Key takeaways

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

Reference excerpt

The MAGIC criteria are a set of guidelines put forth by Robert Abelson in his 1995 book Statistics as Principled Argument. In this book he posits that the goal of statistical analysis should be to make compelling claims about the world and he presents the MAGIC criteria as a way to do that.

What are the MAGIC criteria? MAGIC is a backronym for:

Magnitude – How big is the effect? Large effects are more compelling than small ones. Articulation – How specific is it? Precise statements are more compelling than imprecise ones. Generality – How generally does it apply? More general effects are more compelling than less general ones. Claims that would interest a more general audience are more compelling. Interestingness – interesting effects are those that "have the potential, through empirical analysis, to change what people believe about an important issue". More interesting effects are more compelling than less interesting ones. In addition, more surprising effects are more compelling than ones that merely confirm what is already known. Credibility – Credible claims are more compelling than incredible ones. The researcher must show that the claims made are credible. Results that contradict previously established ones are less credible.

Reviews and applications of the MAGIC criteria Song Qian noted that the MAGIC criteria could be of use to ecologists. Claudia Stanny discussed them in a course on psychology. Anne Boomsma noted that they are useful when presenting results of complex statistical methods such as structural equation modelling.

See also Bradford Hill criteria – Criteria for measuring cause and effect

References

Worked examples

Example 1 — a first encounter with MAGIC criteria

Start with the simplest possible case. Write down what MAGIC criteria claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 MAGIC criteria 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 MAGIC criteria 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 MAGIC criteria

In research: MAGIC criteria appears in mathematics 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 MAGIC criteria 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: MAGIC criteria is common in secondary-school and first-year university syllabi. It links to neighbouring topics Statistical theory, so understanding it makes those chapters shorter.
In everyday life: Look for MAGIC criteria 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 MAGIC criteria in 20 minutes

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

Frequently asked questions

What is MAGIC criteria in simple terms?

Why does MAGIC criteria matter?

Because it connects several mathematics 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 MAGIC criteria?

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 MAGIC criteria.