Dyno correction are "supposed to" cancel out enviromental factors but they don't. They are only accurate within a limited range. I have seen my car gain 7hp SAE corrected doing nothing to the car just dynoing it in June, then again in Nov. So trying to test something in two different seasons is not going to be accurate. Especially when trying to compare a 5 to 15 hp gain which is about all I think he is going to see on a mostly stock car.
There are so many non-weather variations that are possible between different dyno runs that will prove to show a significant difference in numbers.....tire pressures, alignment of the car on the rollers, engine coolant temp, trans fluid temp, rear lube temp, oil pressure, so on and so on. Lot's of people (even some tuners) just assume that it has to do with the weather. It has very very little, if at all, to do with the weather. That's the entire reason for the SAE corrections formulas used with most dyno software.
You are correct that there is a certain "range" by which the weather station connected to the dyno can measure temp and baro. I can't recall the exact range limits on our old MD-250 Mustang dyno, but you would have to live in a place where there was a very extreme climate, in regards to baro and temp, to exceed those limits.
Most dyno software, including Dynojet's and Mustang Dynos, requires the operator to manually enter the humidity for each pull. That is one of the ways that different runs in different parts of the season get messed up....operator error. The difference between 0 percent and 100 percent humidity is about a 7 percent correction. The difference between 60°F and 90°F , will only yield about a 2.8 percent correction. Baro differences will usually yield the biggest corrections if they are significant. But, unless your two pulls are more than 2k-2.5k ft altitude apart, the software will correct very accurately.
As far as the weather corrections alone, there is no such thing as being incorrect unless there is a mathematical error by the computer...it is a mathematically accurate correction performed by the dyno operating software.
One other thing I have noticed over the years is that some shops will put their temp probe in a weird spot. It is supposed to be inside the shop, out of the sun, as close the the intake of the car as possible in a permanately fixed location. I have seen some shops with their temp probes inside the office where the dyno computer was or next to the outside facing metal wall which is a big no no as you can imagine
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