The phrase "associated with a greater decrease in" is correct and usable in written English.
It can be used in contexts where you are discussing the relationship between two variables, particularly in research or analytical writing.
Example: "The new treatment was associated with a greater decrease in symptoms compared to the standard therapy."
Alternatives: "linked to a larger reduction in" or "connected to a more significant decline in".
Greater amounts of conservation funding are associated with a greater decrease in per capita land consumption (Table 1; F(3, 270) = 3.8, P = 0.01).
Lower mean BDNF serum levels were associated with a greater decrease in PTSD symptoms over the course of the trial [ 116].
Our study showed that higher levels of alcohol consumption and depression at intake were associated with a greater decrease in alcohol consumption, given the expected changes in depression.
Dysfunctional attitudes were related to the relation between depression and alcohol consumption, as decrease in the DAS was associated with a greater decrease in depression.
Expressing the information as a ratio of lives saved to overdiagnoses (1 : 3) was associated with a greater decrease in intention than the other information formats.
In adult ICUs, compliance monitoring of all components of the maximum barrier precautions was associated with a greater decrease in CLABSI rates.
However, cold-pack administration was also associated with even a greater decrease in the anti-inflammatory mediator IL-1ra during the recovery from exercise.
Appropriate initial antibiotic therapy was associated with a significantly greater decrease in PCT until day 3.
Local cold-pack application was associated with a significant greater decrease in IL-1β during the recovery from exercise (P = 0.04; Table 2).
Appropriate first-line empirical antibiotic therapy (n = 135) was associated with a significantly greater decrease in PCT between D2 and D3 (ΔPCT D2 D3) (-3.9 (35.9) vs. +5.0 (29.7), respectively; P < 0.01).
MPS administration was associated with considerably greater decrease in cortical brain temperature than an equal amount of cold normal saline (5.3 ± 0.7 versus 3.4 ± 0.4°C, P = 0.009).
