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The phrase "an increased index" is correct and usable in written English.
It can be used in contexts where you are discussing a rise or growth in a particular index, such as financial, statistical, or performance metrics.
Example: "The report indicated that there was an increased index in consumer confidence over the last quarter."
Alternatives: "a higher index" or "an elevated index".
Exact(5)
When the immunogenicity/weight loss index was calculated, Adjuplex and MPL showed a strong trend toward an increased index compared to alum (Fig. 2f).
The index of AR Mx was measured on a daily basis during the first 4 days after the onset of sepsis, showing an increased index Mx and, thereby, a disturbed AR during the first 2 days of sepsis followed by a recovery of AR during the next two days.
An increased index value is associated with reduced cardiac performance, and this value increased significantly with age (Figure 2A).
An increased index of suspicion for C. gattii infection may be warranted in some areas of the United States; recognition of species gattii infection and early diagnosis might improve outcomes.
Global tardokinesis, identified in 9 of 26 patients (2 with normal fractional area change), was associated with an increased index of systolic asynchrony.
Similar(55)
The results showed that GFP-A increased indices of thymus and spleen, the levels of LDH and ACP in the spleen, the mRNA levels of IL-1β, IL-2, IL-6 and IFN-γ in splenocyte.
According to the Fitts' law [1] the duration of movements directed to a target lengthens, and in general the kinematics of transitive actions (i.e. acted upon an object, [2] [5]) slow down, with an increasing index of movement difficulty.
The forced premature mitosis was accompanied by an increasing index of double-strand breaks marked by the phosphorylation of histone H2AX on Ser139.
Finally, the time variable, describing months since the start of the study, coded as an increasing index number from one to seven, was used to control for longitudinal effects or trend over time.
This is worth exploring further, since some investors (astoundingly) make an argument that increased indexing and herding are bad for active investors.
The last attribute is an ever increasing index of the number of elements that have had SiteReferences added to it.
More suggestions(3)
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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