equal probability of being selected

USAGE SUMMARY

The phrase "equal probability of being selected" is correct and usable in written English.
It can be used in contexts involving random selection, statistics, or decision-making processes where each option has the same chance of being chosen. Example: "In this lottery, every ticket has an equal probability of being selected, ensuring fairness in the drawing."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

In simple random sampling, all individuals within the population of interest have an equal probability of being selected.

The Journal of Headache and Pain

Since all five-letter words had equal probability of being selected during the experiment, the probability that a given word was the target did not need to be scaled by its lexical frequency.

Plosone

The Hastings ratio for this proposal mechanism is 1.0, as each possible SPR pruning and regrafting position has an equal probability of being selected, and proposed branch lengths are not conditional on the current lengths.

Plosone

Each tract has equal probability of being selected under Strategy 1 and the weight 1/13 also represents the probability of imputing to the correct Census tract for a given nongeocoded address.

Plosone

The methodology provided each student an equal probability of being selected as a participant in the investigation's sample to produce a representative sample of the university's students.

Health and Quality of Life Outcomes

PPS produces a sample that is self-weighted, and as the cluster size is also constant (100) each household will have an equal probability of being selected.

BMC Nephrology

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

23 Weights were equal to the inverse of the probability of being selected in the sample, as used for Horwitz-Thompson estimators.

British Medical Journal

Because the schools' varying sizes, an equal probability selection method (i.e., probability proportional to size) was used to ensure that each school had an equal chance of being selected.

BMC Oral Health

The 40 clusters were randomly selected from the list of rural EAs using probability proportional to size (PPS) sampling, and therefore, all households had an equal chance of being selected.

American Journal of Tropical Medicine and Hygiene

The most reliable method of probability sampling, known as random sampling, requires that each member of the universe have an equal chance of being selected.

Encyclopedia Britannica

Most other types of surveys use probability sampling to capture attitudes and opinions (i.e., one in which everyone in the population has an equal chance of being selected to participate).

Huffington Post

Expert writing Tips

Best practice

In experimental design, clarify that each subject or item has an "equal probability of being selected" to ensure the validity and reliability of results.

Common error

Avoid using "equal probability of being selected" when you actually mean equal representation or equal proportions within a sample. Probability refers to the chance of selection, not necessarily the final composition of the sample.

Linguistic Context

The phrase "equal probability of being selected" functions as a descriptor, typically modifying a noun phrase related to sampling, selection, or experimental design. It indicates a fair and unbiased selection process, where each member has the same likelihood of being chosen. As confirmed by Ludwig AI, the phrase is correct and usable.

Expression frequency: Uncommon

Frequent in

Science

70%

Encyclopedias

15%

News & Media

15%

Less common in

Formal & Business

0%

Social Media

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "equal probability of being selected" is a technical descriptor commonly used to describe a fair and unbiased selection process. It is most frequently found in scientific and academic contexts, ensuring that each member has an equal chance of being selected. While the phrase is grammatically sound and usable as confirmed by Ludwig AI, it should not be confused with equal representation, focusing instead on the fairness of the initial selection process. Alternatives include "equal likelihood of selection" or "equal chance of being selected", though "probability" is often preferred in formal settings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equal likelihood of selection

Replaces "probability" with "likelihood", emphasizing the chance of being chosen.

equal chance of being chosen

Substitutes "probability" with "chance", making the phrase more informal and accessible.

uniform probability of selection

Replaces "equal" with "uniform", highlighting the consistency in selection process.

every option has an equal probability of selection

Adds context by specifying "every option", making the phrase more explicit.

each item has an equal chance of being selected

Specifies "each item" and uses "chance" instead of "probability", making it more concrete.

all candidates have an equal probability of being selected

Focuses on "candidates", providing a specific application context.

all participants have an equal likelihood of being selected

Uses "participants" and "likelihood", creating a more formal tone.

fair and random selection process

Highlights the fairness and randomness aspects of the selection.

unbiased selection process

Emphasizes the lack of bias in the selection.

impartial selection process

Highlights the impartiality of the selection method.

FAQs

How can I use "equal probability of being selected" in a sentence?

You can use "equal probability of being selected" to describe a fair and unbiased selection process. For example: "In simple random sampling, each member of the population has an "equal probability of being selected"".

What does "equal probability of being selected" mean in statistics?

In statistics, "equal probability of being selected" means that every member of a population has the same chance of being chosen for a sample. This is crucial for ensuring the sample is representative of the population.

Which is more appropriate, "equal probability of being selected" or "equal chance of being selected"?

"Equal probability of being selected" and "equal chance of being selected" are often interchangeable. "Probability" is more formal and common in scientific contexts, while "chance" is more informal and widely understood.

What is the importance of ensuring "equal probability of being selected" in research?

Ensuring an "equal probability of being selected" minimizes selection bias and helps to produce a representative sample. This enhances the validity and generalizability of research findings.