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The phrase "data from different periods" is correct and usable in written English.
You can use it when you are referring to data that has been collected from various points in time. For example: "An analysis of the data from different periods revealed interesting results."
Exact(4)
Unfortunately, continued survey data from different periods are unavailable.
A limitation of the study is the unavailability of data from different periods.
The biases of incidence data from systems of cancer registration, and mortality data from death certificates are different, and the consistency of the data from different periods and from different populations suggests that the relationship is real.
Although various studies use cross-sectional data to explain gender wage gaps, it is acknowledged that data from different periods would have been ideal since it would have produced unpaid overtime as a similar variable to the classic ones.
Similar(56)
Some data-sets included patients from different periods that had received different treatment regiments potentially affecting an association with progression of joint destruction.
Next, we plot the Gutenberg Richter (G R) relationship of earthquake data from different time periods (Fig. 5). Figure 5a shows a significant difference in G R relationships for different time periods using the original magnitudes.
It's rather difficult to compare data from different time periods, according to different methodologies, across different parts of the world, and still come to definitive conclusions.
"We have snapshots of data from different time periods" and different places, she says.
"We have snapshots of data from different time periods" and different places, says environmental engineer Nancy Kinner of the University of New Hampshire, Durham.
Using satellite survey methods merging data from different time periods, seasons and sensors, it was possible to recognize archaeological sites, reconstruct floodplain evolution, and present a provisional picture of the settlement landscape in the unsurveyed southern Balikh valley, Syria.
Unlike coral populations, tropical-to-subtropical algal assemblages change rapidly and tend to fluctuate seasonally or within and between sampling years [37], [56], and caution must be used when comparing algal percent cover data from different temporal periods.
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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