equal probability of selection

USAGE SUMMARY

The phrase "equal probability of selection" is correct and usable in written English.
It can be used in contexts related to statistics, research, or sampling methods where each item or individual has the same chance of being chosen. Example: "In this study, we ensured that every participant had an equal probability of selection to avoid bias in our results."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

In random sampling each patient of each clinic database had an equal probability of selection and each patient was selected using a random number allocation.

Plosone

Within a stratum the landline sample was selected using equal probability of selection of landline phone numbers and then random selection of one person from the selected household.

BMC Medical Research Methodology

Sixty-eight census sectors (the primary sampling units) of the city of Campinas, Brazil were randomly selected by simple random sampling or equal probability of selection.

BMJ Open

We utilized a number of techniques to ensure a representative sample of travelers including a multistage sampling method of flight selection and random participant recruitment in which all passengers joining selected check-in queues had an equal probability of selection excluding those few who exceeded the recommended check-in time before departure.

BMC Public Health

The method also reduces selection bias by giving equal probability of selection to all eligible members of the household and preventing replacement of the selected person within a given household thereby improving the representative nature of the sample.

BMC Medical Research Methodology

In each of these methods, each branch was chosen randomly such that each individual branch has equal probability of selection at any stage of selection.

Forest Ecosystems

Human-verified similar examples from authoritative sources

Similar Expressions

37 human-written examples

Subjects were selected at random with equal probabilities of selection using the Tasmanian Electoral Roll as the sampling frame.

BMC Public Health

To take care of the non-equal probabilities of selection in different domains, a design weight was applied.

Health Economics Review

Every combination of elements drawn from the population also has an equal probability of being selected.

Britannica

In this form of random sampling, every element of the population being sampled has an equal probability of being selected.

Britannica

Furthermore no location bias in trap selection was indicated by the equal probability of mosquitoes entering either trap when both were baited with robins.

Plosone

Expert writing Tips

Best practice

When designing a research study, explicitly state that you ensured "equal probability of selection" to highlight the rigor of your sampling method and minimize potential biases.

Common error

Don't assume that a random selection automatically guarantees "equal probability of selection". Randomness ensures unpredictability, but if your sampling frame is flawed or incomplete, some elements might still have a lower chance of being selected. Always verify the selection probabilities across the entire sampling frame.

Linguistic Context

The phrase "equal probability of selection" functions as a descriptor, specifying a characteristic of a sampling or selection process. It indicates that each member of a population has the same likelihood of being chosen. As Ludwig AI confirms, this phrase is correct and widely used in formal English.

Expression frequency: Common

Frequent in

Science

88%

News & Media

8%

Encyclopedias

4%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "equal probability of selection" is a grammatically correct and commonly used term, particularly in scientific research and statistics. As Ludwig AI indicates, it is an accepted expression for conveying fairness and representativeness in sampling methods. Its primary function is to describe a process where each member of a population has an equal chance of being selected, reducing bias and ensuring the sample accurately reflects the population. While alternatives like "uniform selection probability" exist, "equal probability of selection" remains a clear and effective choice, especially in formal contexts. When employing this term, ensure that randomness is not mistaken for guaranteed equal probability and always verify selection probabilities across the sampling frame. The phrase is most prevalent in scientific contexts, followed by news and media, and encyclopedias.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

uniform selection probability

Replaces "equal" with "uniform", emphasizing the consistent nature of the probability.

equivalent selection likelihood

Substitutes "probability" with "likelihood", providing a synonymous alternative.

identical chance of selection

Uses "chance" instead of "probability" and "identical" instead of "equal", offering a more informal tone.

equal odds of being selected

Rephrases the concept using "odds", which is statistically similar to probability.

every item has an equal chance of being selected

Expands the phrase to clarify that each item possesses an equal opportunity for selection.

each element has the same selection probability

Focuses on individual elements and their shared probability.

fair selection process

Highlights the fairness aspect, implying equal probability without explicitly stating it.

selection without bias

Indicates equal probability by negating bias, which would skew selection.

random selection with replacement

Describes a specific random selection method where each item has an equal chance at each draw.

equiprobable selection

Uses the technical term "equiprobable" as a concise substitute for "equal probability".

FAQs

How is "equal probability of selection" used in research?

In research, "equal probability of selection" ensures every member of the population has the same chance of being included in the sample. This minimizes bias and increases the likelihood that the sample accurately represents the population. It's often achieved through methods like simple random sampling.

What does "equal probability of selection" mean in statistics?

In statistics, "equal probability of selection" signifies that each element in a population has an identical chance of being chosen for a sample. This is a key assumption in many statistical tests and analyses, ensuring the sample is representative and unbiased. Not having this condition may imply using weights or other methods to correct selection bias.

How does "equal probability of selection" reduce bias?

By giving each member of the population the same chance of selection, "equal probability of selection" minimizes the risk of systematically over- or under-representing certain groups. This helps to ensure that the sample reflects the true characteristics of the population, thus reducing selection bias. Using methods like "random sampling" helps to achieve this.

What are some alternatives to saying "equal probability of selection"?

Depending on the context, you could use phrases like "uniform selection probability", "equivalent selection likelihood", or "identical chance of selection". These alternatives convey a similar meaning while offering stylistic variation.