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The phrase "average response across" is correct and usable in written English.
It can be used when discussing the mean or typical response measured over a range of subjects or data points in a study or analysis.
Example: "The average response across all participants indicated a strong preference for the new product design."
Alternatives: "mean response throughout" or "typical response among".
Exact(11)
Whereas the grand average response across trials provides an estimation of essential characteristics of a brain-evoked response, an estimation of the differences between trials for a particular type of stimulus can provide key insight about the brain dynamics and possible origins of the brain response.
In this plot probe location is along the vertical axis and the resultant average response across trials to those probes is plotted along the horizontal axis for each of the 60 electrodes.
The average response across the population of sampled sites (n = 46) is summarized in Fig. 4. Across the population, responses to the low and high frequency sounds presented alone were tuned for source azimuth.
Each curve represents the average response across all trials and test orientations within the same block.
Data were analysed individually, by role, and aggregated (mean average response across participants) by network.
Assay results depict average response across replicate samples for each species.
Similar(49)
Determinants of habituation or sensitization are poorly understood, and experimental investigation of habituation of pain ratings have generally relied on pain reports and statistical techniques that average responses across a group of participants.
The pattern of average responses across all objects and color sets was correlated with the predictions of the local assignment hypothesis (r(22) = 0.668, p < 0.001) and the global assignment hypothesis (r(22) = 0.991, p < 0.001), but the correlation with the global assignment hypothesis was significantly stronger (z = 6.13, p < 0.001).
Examining only average responses across populations obscures variability among individuals that may have important implications for management or provide new ecological insight.
CSI values close to +1 (red color) indicated near-complete cessation of the responses to the standards (Fig. 2). Figure 3 illustrates the average responses across the entire population of MGB neurons for the different frequency contrasts and SOAs (repetition rates) tested at the highest standard-to-deviant probability ratio (90/10%).
Analysis of false alarms to the CS−likewise used the average responses across both training stages (i.e., 33 trials).
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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