Actually, the scientific study on the 1991 Honda Civic Si vs. DX was done years ago.
REDlinesDOTcom, Using advanced technology [Google], I did some basic research to save you some work and allow you to quit belaboring the point.
The 1.6 L Si is rated 108 hp & EPA estimated 30 mpg (combined city & highway).
The 1.5 L DX is rated 92 hp & EPA estimated 35 or 33 mpg, depending whether 4- or 5-speed. As the 4-speed got better highway mileage than the 5-speed, it would seem that the extra gearing was for performance rather than economy overdrive type. Details below.
Honda Civic, under Fourth generation (1988-1991)
"A 1500 cc 16-valve fuel injected engine giving 92 hp (68 kW) was used in the DX hatchback/sedan, new LX sedan and the American market wagon. The Si and four-wheel drive wagons were powered by a 1.6 L 16-valve engine, rated at 108 hp (81 kW)...All engines sold in the US were fuel injected. "
1991 Honda Civic EPA Gas Mileage Estimates, MPG (city) (hwy) (combined)
4 cyl, 1.5 L, Manual (4 sp), 33 37 35
4 cyl, 1.5 L, Manual (5 sp), 31 35 33
4 cyl, 1.6 L, Manual (5 sp), 28 32 30
[Automatic trans. (4 sp) results are about 3-4 MPG lower]