The phrase "a higher increase in" is not correct and can be considered redundant in written English.
You can use it when discussing growth or improvement in a specific context, but it is better to simplify the expression.
Example: "There was a higher increase in sales this quarter compared to the last."
Alternatives: "a greater increase in" or "an increase in".
Sara Herald, a member of the governor's panel, defended Mr. Bush's efforts, saying, "The department has had a higher increase in funding with this governor than it's had in the previous 10 years".
The latest Department of Transport DoTT) predictions suggest that, by 2040, there will be a further 40% growth in car mileage, and a higher increase in cars on the road as vehicle life becomes elongated.
An additional supplement, which tenant advocates refer to as the "poor tax," would impose a higher increase in rent for those tenants who live in a rent-stabilized apartment and pay less than $1,000 a month.
Men showed a higher increase in BMI (0.856 units) than women (0.640 units).
Maximal strength training with induced vibration causes a higher increase in maximum ROM than traditional resistance training.
However, the increased viscous shear will result in a higher increase in the temperature in the lubricating film.
Specimens with a shorter gauge length showed a higher increase in temperature then specimens with the longer gauge length.
Countries that achieve this declaration enjoy a higher increase in economic growth when a unit of expenditure on health is added than the CEMAC countries.
The pigs in the CO2 group showed a higher increase in pCO2 and decrease in pH than pigs in the two other groups throughout the experiment.
In the more mature infants, HFPV was associated with a higher increase in SpO2/FiO2 ratio when compared to CMV, but this difference failed to reach statistical significance.
These pixels are recovering, and have a higher increase in NDVI during the growing season compared to areas that have not been affected by ash deposition (Fig. 7d).
