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The phrase "a lack of any data" is correct and usable in written English.
It can be used when discussing the absence or insufficiency of data in a particular context, such as research or analysis.
Example: "The study's findings were inconclusive due to a lack of any data on the subject."
Alternatives: "an absence of data" or "insufficient data".
Exact(1)
Their spread comes despite a lack of any data about their impact on children from kindergarten through high school, the researchers found.
Similar(59)
Of these, thirty-six percent (160/433) were immediately removed from this study due to a lack of any clinical data.
Unfortunately, this step has occurred despite a lack of any prospective data in critically ill patients associating the magnitude and duration of oliguria with subsequent changes in serum biochemistry.
Second, there was a lack of data.
In the list of top induced and repressed genes there is a lack of any annotation in the data bases (Additional file 4: Table S5 and Additional file 5: Table S6).
These data suggest a lack of any direct relationship between drug exposure (as measured by CL/F) and development of NVP HSR.
In conservation planning it often happens that with a lack of reliable data, any available data are used to determine conservation priorities, especially when original sources are no longer consulted.
However, there is a lack of published data from any European country on the prevalence of dementia across hospitals and between patient groups.
Again, in settling these arguments, economists were hampered by a lack of data, particularly any that might give some historical perspective.
The study is also limited due to a lack of data on any previous episodes of sickness benefit an individual may have had, and if the sickness benefit recipient was granted any other temporary benefits by the SSIA such as pregnancy benefit or parental benefit.
For the other studies, a lack of complete data were available regarding any possible pain and/or injuries as a result of the interventions.
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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