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
substantially larger mean
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "substantially larger mean" is correct and usable in written English.
It can be used in statistical contexts to describe a mean value that is significantly greater than another mean value. Example: "The study found that the experimental group had a substantially larger mean score compared to the control group."
✓ Grammatically correct
Science
News & Media
Alternative expressions(1)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified similar examples from authoritative sources
Similar Expressions
59 human-written examples
The reason is simple: a distribution of selection coefficients generates dynamics dominated by strong driver mutations, whose effect is substantially larger than the mean (Park et al. 2010).
Science
"More passengers visiting a community means more carvings, prints and other crafts are purchased, which means a substantially larger economic impact on a community from a single ship visit," said MacIsaac.
News & Media
FR volumes reported from trials performed in septic shock are substantially larger despite comparable illness severity; mean FR over 72 h was approximately 19 L in the Vasopressin in Septic Shock Trial (VASST) study [ 2], 13 L in the study by Rivers and colleagues [ 3] and 16 L in another recent study [ 4].
Science
Also, the characteristic distance moved by each enzyme molecule ("run length") was significantly lower for heterodimers, and the mean duration of the run (i.e., run length divided by mean velocity) was substantially larger (Table 1).
Science
The global-mean of the amplitude of a zonal-mean quantity, such as precipitation or OLR, can be substantially larger than the amplitude of the global-mean quantity, implying that observers at a distance may have difficulties in estimating the variability of said quantities accurately.
Science & Research
The mean CACE was substantially larger than the intention-to-treat effect, which was to reduce frailty by 0.4 frailty criteria (95% CI 0.1 to 0.7) and increase mobility by 1.4 points (95% CI 0.8 to 2.1) at 12 months.
Science
The mean differences are substantially larger than zero for all stages, indicating a systematic difference in phenology between a Cascades and a Willamette Valley population.
Science
But when they tested the groups, the cliché proved to be false, and the Chinese took substantially larger risks than Americans of similar means.
News & Media
(The Americans agreed). But when they tested the groups, the cliché proved to be false, and the Chinese took substantially larger risks than Americans of similar means.
News & Media
The CMIP5 ensemble mean water cycle amplitude averaged over the historical period (1950 2005) amounts to 3.24 ± 0.28 Sv (multimodel mean + standard deviation), which is substantially larger than the two observationally-based estimates.
Science & Research
In fact, the ~100 genes we identified whose translation is stimulated the most by eliminating eIF4G contain a mean 5'UTR length substantially larger than the genome average.
Science
Expert writing Tips
Best practice
When using "substantially larger mean", ensure you provide context about what the mean is being compared to and why the difference is relevant.
Common error
Avoid assuming that a "substantially larger mean" automatically implies practical significance. Always consider the effect size and the context of the data.
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "substantially larger mean" functions as a descriptive term in statistical and analytical contexts. It quantifies and emphasizes the magnitude of difference between the average (mean) of different data sets or conditions. It's often used to highlight noteworthy variations in data.
Frequent in
Science
40%
News & Media
30%
Formal & Business
10%
Less common in
Wiki
5%
Encyclopedias
5%
Reference
5%
Ludwig's WRAP-UP
The phrase "substantially larger mean" is a statistically descriptive term indicating a significant difference in average values between two or more datasets. While not overwhelmingly common, its usage in scientific and news contexts underscores its value in effectively conveying significant statistical differences. Considering that there are few examples, "substantially larger mean" is grammatically correct and according to Ludwig AI, can be used in statistical contexts to describe a mean value that is significantly greater than another mean value. Alternatives such as "significantly greater average" or "considerably higher average" offer similar meanings and can provide variety in writing.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
significantly greater average
Emphasizes the statistical significance of the difference in averages.
considerably higher average
Highlights that the average is noticeably elevated.
markedly increased mean
Focuses on the distinct increase in the mean value.
notably bigger average
Indicates that the average is worth noting due to its size.
appreciably larger average
Suggests the average is large enough to be easily perceived.
distinctly higher mean
Emphasizes the clear and unmistakable elevation of the mean.
noticeably greater average
Highlights that the average is easily observed to be larger.
substantially elevated average
Focuses on the fact that the average has been raised to a significant extent.
significantly increased average
Emphasizes a statistically meaningful increase in average.
considerably expanded mean
Suggests the mean has grown to a much larger extent.
FAQs
How can I use "substantially larger mean" in a sentence?
You can use "substantially larger mean" to describe a significant difference in average values between two groups or conditions. For example, "The experimental group exhibited a substantially larger mean score compared to the control group."
What are some alternatives to "substantially larger mean"?
Alternatives include "significantly greater average", "considerably higher average", or "markedly increased mean", depending on the context.
When is it appropriate to use the phrase "substantially larger mean"?
Use "substantially larger mean" when you want to emphasize that the difference between two averages is not only statistically significant but also practically meaningful or important.
What does it mean for a mean to be "substantially larger"?
A "substantially larger" mean indicates that the average value of one group or condition is significantly greater than another, suggesting a meaningful difference between them. The term "substantially" implies the difference is not just numerical, but also has a practical or real-world impact.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested