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The phrase "analysis of the randomized" is correct and usable in written English.
It can be used in contexts related to research, statistics, or scientific studies where randomized methods are employed.
Example: "The analysis of the randomized control trial revealed significant differences between the treatment and placebo groups."
Alternatives: "evaluation of the randomized" or "examination of the randomized".
Exact(21)
This paper reports on the baseline variables of the first 1000 participants randomized, the design, and proposed analysis of the randomized two-arm clinical trial "Efficacy of a Tobacco Quit Line in the Military".
Results of the analysis of the randomized block design indicated that both cognitive and physical tasks had a significant effect on RPP.
Lübbert, M. et al. Decitabine improves progression-free survival in older high-risk MDS patients with multiple autosomal monosomies: results of a subgroup analysis of the randomized phase III study 06011 of the EORTC Leukemia Cooperative Group and German MDS Study Group.
We conducted a post hoc analysis of the randomized clinical trial MacGrath Mac video laryngoscope or Macintosh laryngoscope for intubation in the intensive care unit (MACMAN) to determine the best position for intubation in the ICU.
We conducted a post hoc analysis of the randomized clinical trial MacGrath Mac video laryngoscope or Macintosh laryngoscope for intubation in the intensive care unit (MACMAN) to determine the best metric to choose for primary outcome for the next intubation studies in ICU.
A prespecified integrated analysis of the randomized, double-blind, placebo-controlled, Phase 3 DEFINE and CONFIRM trials was conducted.
Similar(39)
A sub-group analysis of the randomized-controlled CGAO-REA study (NCT01002482) in surgical intensive care units (ICU) of two university hospitals.
Crowley, P. A. Antenatal corticosteroid therapy: a meta-analysis of the randomized trials, 1972 to 1994.
Just recently, a study was published in the journal Open Heart in which researchers performed a systematic review and meta-analysis of the randomized controlled trials that were available when those guidelines were announced.
Aspirin for the chemoprevention of colorectal adenomas: meta-analysis of the randomized trials.
Of note, in a post hoc analysis, a meta-analysis of the randomized controlled trials of ICU patients that included septic and non-septic patients and compared restrictive versus liberal strategies (3 studies), was achieved and did not reveal differences in the risk of mortality (RR 0.81 [0.63–1.04] [I 2 = 41%, p = 0.18)] (Additional file 2: Figure S2) [6, 9, 19].
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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