"greater reported" is not correct or usable in written English.
It is not a commonly used phrase and doesn't really make sense as a stand-alone, so it should not be used in written English. If you are looking for a phrase to express something being reported more widely, a better choice might be "more widely reported". For example, "Accounts of the incident became more widely reported as the days went on."
More-sensitive PPTs at sites over or distant from joints were each associated with greater reported pain, higher patient-reported DAS28 components, and poorer mental health.
Higher self-development motivation and skill resulted in greater reported self-development activities.
Results suggest swallowing may lead to greater reported bitterness versus spitting out the stimulus, but that this effect was not consistent across all samples.
We enquired into whether the probability of reporting interictal burden would increase with greater reported ictal burden (Table 5), although we did this only among those with migraine because ictal burden generally remains low in TTH.
Republicans have been much more likely to express enthusiasm about voting than Democrats, and that enthusiasm is translating into greater reported interest in the campaign and intent to vote -- two key questions that drive pollsters' likely voter models.
Trust in formal (government/media) information about influenza was associated with greater reported understanding of A/H1N1 cause (β = 0.36) and A/H1N1 prevention self-efficacy (β = 0.25), which in turn were associated with more hand hygiene (β = 0.19 and β = 0.23, respectively).
In most cases, even great reported stories will fizzle, not spark.
Students from regions where cultural distance is greatest reported more difficulties in adjusting.
Perhaps the greatest reported drawback of treatment with rFVIIa is the cost.
Students from regions where cultural distance is greatest reported more difficulties.
The examination causing the greatest reported discomfort was the female pelvic examination by male students.
