standard distribution

USAGE SUMMARY

The phrase "standard distribution" is correct and usable in written English.
It is typically used in statistics to refer to a specific probability distribution that is symmetric and characterized by its mean and standard deviation. Example: "In many statistical analyses, we assume that the data follows a standard distribution to simplify calculations and interpretations."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Standard distribution: Since the beginning of this month, the capital has been deluged with London Evening Standards.

The Guardian

However, some of these households are in areas, such as Ealing and Watford, which are currently under served by Evening Standard distribution.

The Guardian

Esperya was founded in 1997 by Antonio Tombolini, whom Ms. Ughi described as a man with a technical background who created the site to indulge his passion "for food you cannot find through standard distribution channels".

The New York Times

On the flip side, the more random selection of members of an Antarctic overwintering crew may be more representative of the entire standard distribution curve's spectrum.

The New York Times

I would imagine that standard distribution (like the drug, mass and grocery channels) would be very difficult for a small brand to crack.

The New York Times

"This would leave 50 to 60 percent of the content out there subject to the standard distribution terms, enabling Amazon to promote and price as it does today, and forcing Apple to have to compete with Amazon's strength".

The New York Times - Tech

OS X has included Open SSH in its standard distribution.

Next Generation SSH2 Implementation Securing Data in Motion

Figure 12 shows the standard distribution of ten control cases, with no comorbidities, and several subjects whose metrics lie well outside the standard distribution.

EURASIP Journal on Advances in Signal Processing

In addition, ( phi is the cumulative distribution function of normal standard distribution.

Journal of Industrial Engineering International

A common choice is the normal standard distribution function, leading to the probit model (see Verbeek).

Agricultural and Food Economics

Standard distribution indexes are used to assess the distribution and redistribution implicit in the system.

Latin American Economic Review

Expert writing Tips

Best practice

When discussing statistical data, clearly define the parameters (mean, standard deviation) of the "standard distribution" to avoid ambiguity. Ensure your audience understands if you're referring to a normal distribution or another specific type.

Common error

Don't automatically assume that your data follows a "standard distribution" without testing. Applying statistical methods designed for normal data to non-normal data can lead to incorrect conclusions. Always verify the distribution before proceeding.

Linguistic Context

The phrase "standard distribution" functions primarily as a noun phrase, often used as a statistical term. It describes a type of probability distribution with specific, well-defined properties. Ludwig shows that this phrase is used across various academic and practical contexts.

Expression frequency: Very common

Frequent in

Science

69%

News & Media

20%

Formal & Business

6%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "standard distribution" is a commonly used term, primarily in scientific and statistical contexts, to describe a probability distribution with well-defined properties. Ludwig's analysis confirms its grammatical correctness and high frequency of use across academic, news media, and formal business domains. The most closely related alternative is ""normal distribution"", often used interchangeably. When using the phrase, ensure you define the distribution's parameters and verify that your data indeed follows that distribution. As Ludwig AI highlights, it is important not to automatically assume normality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

normal distribution

Replaces 'standard' with 'normal', which is often used interchangeably in statistics.

typical distribution

Substitutes 'standard' with 'typical', emphasizing common occurrence.

usual distribution

Replaces 'standard' with 'usual', focusing on expected patterns.

reference distribution

Substitutes 'standard' with 'reference', highlighting its role as a benchmark.

common distribution

Replaces 'standard' with 'common', focusing on widespread occurrence.

Gaussian distribution

Provides a more specific term for a type of standard distribution.

probability distribution

Offers a broader category that includes standard distribution.

theoretical distribution

Emphasizes the mathematical model aspect of the distribution.

expected distribution

Focuses on the anticipated or predicted pattern of data.

population distribution

Highlights the distribution within a specific group or population.

FAQs

How is a "standard distribution" used in data analysis?

A "standard distribution", especially the normal distribution, is fundamental in statistical hypothesis testing, confidence interval estimation, and modeling. It provides a benchmark for understanding the spread and central tendency of data.

What types of data can be represented by a "standard distribution"?

Many naturally occurring phenomena can be approximated by a "standard distribution", such as heights, weights, test scores, and measurement errors. However, it's essential to confirm its appropriateness for each specific dataset.

What's the difference between "standard distribution" and "normal distribution"?

While often used interchangeably, "standard distribution" can refer to any known distribution used as a reference. The "normal distribution" is a specific type of "standard distribution" characterized by its bell shape and defined by its mean and standard deviation.

How can I check if my data follows a "standard distribution"?

You can use statistical tests like the Shapiro-Wilk test, visual methods like histograms and Q-Q plots, and assess skewness and kurtosis. A data transformation (e.g., logarithmic) might be necessary if the data significantly deviates from a "standard distribution".