Science, I thought, was the pursuit of truth, not vulnerable to interpretation or bias.
The "pursuit of truth" you have correct, but anyone whose name is not God can be biased before they even start their experiment or can misinterpret their results (or both).
The initial numbers some folks came up with ignored the fact that a standard pressure gauge measures the
relative PSI difference between the inside and outside of a football, but that the Ideal Gas Law operates on the
absolute PSI inside the football. There's an example of misinterpretation of results.
In addition, the NFL initially leaked false information that most of the balls tested were 2 PSI or more below regulation. I just did a quick google check for people who did their own analyses back in January or February, and most of their analyses began with this "2 PSI under" assumption. So, there's your bias.
As far as the NFL's so-called "scientific analysis" goes, I've read in multiple places that the NFL farmed the job out to a firm that is well-known in legal circles for spinning their "experimental methods" and interpretations of results in favor of the people who are paying their bills.
You might be shocked to learn that this sort of thing happens all the time. One of my Professors in grad school told me about a study one of his students had performed that attempted to show, with statistical significance, whether young drivers who had gone through Driver's Education had a lower accident rate in their first three years of driving than those who had not, as measured through the number of insurance claims filed by each group. The conclusion that this student produced ... that after accounting for other variables there was no significant difference between the two groups ... was rejected out of hand by the study's sponsor (a State Department of Transportation), who told the Professor and his student to "go back and do this study right!" This in spite of the fact that the student's methods, results, and conclusions were vetted through multiple peer reviews by well-respected experts in the fields of statistics and data analysis.