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"difference in motivation" is correct and usable in written English.
For example, you could use it in a sentence like this: "The difference in motivation between the two teams was evident throughout the competition."
Exact(28)
WT control and Tg P301S mice explored the sample objects to a similar extent, indicating that there was no major difference in motivation between groups at different ages (Fig. S1).
Dr. Marc N. Potenza, the lead researcher, speculated that the different choices of games reflected a possible difference in motivation: that women might gamble "as a means of escape from distressing problems," while men might "more often seek ego enhancement through the thrill of competitive risk-taking".
Some see a difference in motivation between this generation and its predecessors.
But once the game is done, the contest's statistics will reflect the difference in motivation, assuming that it mattered.
Results of t-tests indicated that the experimental group reported a significant difference in motivation and that this subsequently contributed to a significant difference in academic achievement.
For instance, consider the difference in motivation between Seton Hall, which trounced Miami, 67-52, at Madison Square Garden last night, and Notre Dame, which lost narrowly to St .John's, 83-80, in the afternoon.
Similar(32)
It is not unlikely that these differences in motivation could lead to different attentional capacity and cognitive performance in the child groups.
Two studies were conducted to evaluate the reliability and predictive validity of measures of intrinsic and extrinsic motivation for exercise, and to examine differences in motivation as a function of stage of motivational readiness for exercise.
The five different categories were compared by sex using independent samples t-test given differences in motivation and career expectations [ 33– 33].
We point out similarities in teaching methods but also the differences in motivation and achieved levels of knowledge and skills.
There could be differences in motivation, commitment, interpersonal skills or some other variable not captured in the data that would affect a worker's value to an employer.
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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