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The phrase "are allocated at random" is correct and usable in written English.
It can be used in contexts where items, resources, or tasks are distributed without a specific pattern or method, emphasizing the randomness of the allocation.
Example: "In this study, participants are allocated at random to either the treatment group or the control group to ensure unbiased results."
Alternatives: "are distributed randomly" or "are assigned at random".
Exact(7)
All baseline measurements are performed by a blinded examiner/rater, as subjects are allocated at random after the baseline measurements (see below: Randomization).
The judges' numbers are allocated at random and bear no relation whatsoever to the alphabetical list of judges' names.
Published evidence suggests that RCT participants often fail to understand that treatments are allocated at random and that clinicians are in equipoise about which treatment is best.
Patients are allocated at random to either early therapeutic hypothermia plus standard care or standard care alone at the acute phase of ICU management.
A RCT was defined if the abstract described a prospective study in which individuals are allocated at random to an intervention or to a controll group.
18 We previously used Mendelian randomisation methods to investigate the effect of smoking quantity on BMI. 7 9 This method exploits Mendel's laws concerning the random assortment of alleles at the time of gamete formation so that individuals are allocated at random to having 0, 1 or 2 alleles in the rs1051730/rs16969968 genotype.
Similar(53)
Patients were allocated at random based on a computer-generated randomization schedule by an Interactive Voice Response System (IVRS) on the day of admission for surgery, to 1 of the 4 treatment options.
Many patients do not understand the reasons why treatments should be allocated at random, and this is an important reason why patients choose not to join randomized clinical trials.
Those who do not choose one would be allocated at random between the social insurers (or perhaps allocated to one state-run one).
The second study used a design in which respondents were allocated at random to either online or offline data collection.
The 90 primiparous and multiparous cows (winter, n=42; summer, n=48) were allocated at random to three synchronisation treatments (n=30 cows per treatment).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com