mathematics

XLispStat

XLispStat 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 XLispStat rather than just read about it. In short: XLispStat is a statistical scientific package based on the XLISP language. Many free statistical software like ARC (nonlinear curve fitting problems) and ViSta are based on this package.

Key takeaways

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

Reference excerpt

XLispStat is a statistical scientific package based on the XLISP language. Many free statistical software like ARC (nonlinear curve fitting problems) and ViSta are based on this package. It includes a variety of statistical functions and methods, including routines for nonlinear curve fit. Many add-on packages have been developed to extend XLispStat, including contingency tables and regression analysis XLispStat has seen usage in many fields, including astronomy, GIS, speech acoustics, econometrics, and epidemiology. XLispStat was historically influential in the field of statistical visualization. Its author, Luke Tierney, wrote a 1990 book on it. XLispStat dates to the late 1980s/early 1990s and probably saw its greatest popularity in the early-to-mid 1990s with greatly declining usage since. In the 1990s it was in very widespread use in statistical education, but has since been mostly replaced by R. There is a paper explaining why UCLA's Department of Statistics abandoned it in 1998, and their reasons for doing so likely hold true for many other of its former users. Source code to XLispStat is available under a permissive license (similar terms to BSD)

Worked examples

Example 1 — a first encounter with XLispStat

Start with the simplest possible case. Write down what XLispStat 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 XLispStat 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 XLispStat 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 XLispStat

In research: XLispStat 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 XLispStat 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: XLispStat is common in secondary-school and first-year university syllabi. It links to neighbouring topics Lisp programming language family, Statistical programming languages, Statistical software, so understanding it makes those chapters shorter.
In everyday life: Look for XLispStat 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 XLispStat in 20 minutes

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

Frequently asked questions

What is XLispStat in simple terms?

XLispStat is a statistical scientific package based on the XLISP language. Many free statistical software like ARC (nonlinear curve fitting problems) and ViSta are based on this package.

Why does XLispStat 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 XLispStat?

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 XLispStat.