Used and loved by millions
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
according to these analyses
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "according to these analyses" is correct and usable in written English.
It can be used when referencing findings or conclusions drawn from specific analyses or studies. Example: "According to these analyses, the new treatment shows a significant improvement in patient outcomes."
✓ Grammatically correct
Science
News & Media
Alternative expressions(14)
based on these analyses
in light of these analyses
according to these findings
according to these experts
according to these values
according to these figures
according to these estimates
according to these people
according to these officials
according to these sources
according to these principles
according to these employees
according to these accounts
according to these arguments
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
20 human-written examples
According to these analyses, the casing damage mitigation methods are presented.
According to these analyses, the proposed still should have both external suspended reflectors and internal reflectors in the basin liner.
According to these analyses, particle size and PDI of Eu S100 particles were 100 nm and 0.410 respectively.
Science
According to these analyses, the frequency resolution depends on the frame length because one analysis window apparently has the length of several windows.
According to these analyses, the finite-element method is used to analyze the integral stability of a tension-chord portal frame in the chapter.
According to these analyses, it is not clear which algorithm has the lowest complexity, because the number of iterations of barycenter heuristic and 2D sort conditional loop is hard to foresee.
Human-verified similar examples from authoritative sources
Similar Expressions
40 human-written examples
According to these two analyses, most of the markers showed good linear agreement between physical and genetic maps on the basic framework.
Science
According to these meta-analyses performed on the basis of randomised placebo-controlled trials, rituximab, abatacept and anakinra seem to be safe as regards the risk of serious infections.
According to these base case analyses, the incremental total cost difference of erlotinib vs docetaxel amounts to −€1577.
According to these aggregated data analyses, longer follow-up periods, male sex, and patients having been diagnosed before 1970 contribute predominantly to the rather poor course of EOS.
Science
According to these guidelines, we analysed in the Rotterdam Study how many people would have had an indication for statins.
Expert writing Tips
Best practice
To maintain clarity, consider rephrasing using active voice when possible, e.g., "These analyses show that..." instead of "According to these analyses, it is shown that...".
Common error
Avoid overly passive constructions when using "according to these analyses". Overusing passive voice can make your writing sound indirect and less engaging. Try to rephrase sentences to emphasize the subject and action, rather than the object being acted upon.
Source & Trust
83%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "according to these analyses" functions as a prepositional phrase that introduces the source or basis for a claim or statement. Ludwig shows that it connects a conclusion with the analyses that support it, lending authority to the statement.
Frequent in
Science
71%
News & Media
21%
Formal & Business
8%
Less common in
Academia
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
The phrase "according to these analyses" is a grammatically correct and usable way to introduce information that is based on specific analyses, as confirmed by Ludwig. It is most commonly found in scientific and formal contexts, serving to establish credibility and cite evidence. When using the phrase, it's important to ensure that the referenced analyses are clearly defined and accessible. For clarity, consider using more active sentence structures, such as "These analyses show...". Alternative phrases, like "based on these analyses", offer similar meaning with slight variations in formality.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
based on these analyses
Direct substitution, maintaining a neutral tone and emphasizing the foundation of the statement.
as demonstrated by these analyses
Emphasizes the demonstrative nature of the analyses and their role in proving a point.
these analyses indicate that
Shifts the focus to the analyses themselves as the subject, highlighting their revealing power.
these analyses suggest that
Implies a degree of interpretation in the analyses, framing the statement as a suggestion rather than a definitive conclusion.
in light of these analyses
Highlights the informative value of the analyses, positioning them as the guiding factor.
the analyses reveal that
Highlights the uncovering nature of the analyses, framing the statement as a revelation.
from these analyses, we can conclude that
Emphasizes the process of drawing conclusions from the analyses, presenting a more formal and explicit inference.
these analyses support the claim that
Frames the analyses as providing evidence for a specific claim, underscoring their supportive role.
the data analyses show that
Focuses on the results from the data analyses, emphasizing the direct relationship to the results
as per the analyses
A more concise and slightly formal alternative, suitable for contexts where brevity is valued.
FAQs
What's a more concise way to say "according to these analyses"?
You can use phrases like "based on these analyses" or "as per the analyses" for a more concise alternative.
How can I make my sentence more direct than starting with "according to these analyses"?
Try rephrasing to put the analyses as the subject, such as "These analyses indicate that..." or "These analyses show...". This makes your sentence more active and direct.
Is "according to these analyses" formal or informal?
It's generally considered a neutral to slightly formal phrase, suitable for academic, professional, and news contexts. For more informal settings, you might opt for something like "these analyses suggest".
What kind of sources are appropriate to cite when using "according to these analyses"?
It's best to cite credible and verifiable sources, such as peer-reviewed studies, reputable news organizations, or formal reports. Avoid citing unreliable or biased sources.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
83%
Authority and reliability
4.1/5
Expert rating
Real-world application tested