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Statistically improbable phrase

Statistically improbable phrase 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 Statistically improbable phrase rather than just read about it. In short: A statistically improbable phrase (SIP) is a phrase or set of words that occurs more frequently in a document (or collection of documents) than in some larger corpus. Amazon.com uses this concept in determining keywords for a given book or chapter, since keywords of a book or chapter are likely to appear disproportionately within that section.

Key takeaways

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

Reference excerpt

A statistically improbable phrase (SIP) is a phrase or set of words that occurs more frequently in a document (or collection of documents) than in some larger corpus. Amazon.com uses this concept in determining keywords for a given book or chapter, since keywords of a book or chapter are likely to appear disproportionately within that section. Christian Rudder has also used this concept with data from online dating profiles and Twitter posts to determine the phrases most characteristic of a given race or gender in his book Dataclysm. SIPs with a linguistic density of two or three words—for example adjective, adjective, noun, or adverb, adverb, verb—will signal the author's attitude, premise or conclusions to the reader or express an important idea. Another use of SIPs is as a detection tool for plagiarism. (Almost) unique combinations of words can be searched for online, and if they have appeared in a published text, the search will identify where. This method only checks those texts that have been published and that have been digitized online. For example, a submission by a student that contained the phrase "garden style, praising irregularity in design", might be searched for using Google.com and will yield the original Wikipedia article about Sir William Temple, English political figure and essayist.

Example While common words such as "the" appear frequently in most texts, a phrase such as "explicit Boolean algorithm" might occur much more often in a document about computers than it does in general English. Therefore, "explicit Boolean algorithm" would be considered a statistically improbable phrase in that context. Some statistically improbable phrases of Darwin's On the Origin of Species could be: genera descended, transitional gradations, unknown progenitor, fossiliferous formations, closely allied forms, profitable variations, transitional grades, very distinct species and mongrel offspring.

See also Collocation – Any series of words that co-occur more often than would be expected by chance Googlewhack – A pair of words occurring on a single webpage, as indexed by Google tf-idf – A statistic used in information retrieval and text mining Complex specified information – a concept used to argue for the "intelligent design" theory Hapax legomenon - a word or phrase occurring only once in a language or corpus

References

Worked examples

Example 1 — a first encounter with Statistically improbable phrase

Start with the simplest possible case. Write down what Statistically improbable phrase 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 Statistically improbable phrase 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 Statistically improbable phrase 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 Statistically improbable phrase

In research
Statistically improbable phrase 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 Statistically improbable phrase 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
Statistically improbable phrase is common in secondary-school and first-year university syllabi. It links to neighbouring topics Amazon (company), Bookselling, Computational linguistics, so understanding it makes those chapters shorter.
In everyday life
Look for Statistically improbable phrase 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 Statistically improbable phrase in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Statistically improbable phrase 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 Statistically improbable phrase out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Statistically improbable phrase in simple terms?

A statistically improbable phrase (SIP) is a phrase or set of words that occurs more frequently in a document (or collection of documents) than in some larger corpus. Amazon.com uses this concept in determining keywords for a given book or chapter, since keywords of a book or chapter are likely to…

Why does Statistically improbable phrase 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 Statistically improbable phrase?

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 Statistically improbable phrase.

Tags

  • Amazon (company)
  • Bookselling
  • Computational linguistics
  • Computational linguistics stubs
  • Information retrieval systems

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