He presents it as highly accurate but doesn't show any error range.
On page 28 of the pdf Myers qualifies his error range for this project:
In synchronizing the amateur films for this project, an error ratio of plus-or-minus (+/-) one
frame (approximately one tenth of a second) was deemed acceptable, and therefore considered
synchronous.
Also, he does qualify the following on page 30 of the PDF:
Each of the nine amateur films used in this analysis was prepared from original sources.103
103. With the exception of the F.M. “Mark” Bell, and John Martin, Jr., films, which used the best available sources.
His "error ratio" is the lowest possible amount of error. He couldn't very well say to within less than a frame. The cameras were not all operating at the same speed or making exposures at the same time.
That is not a margin of error with respect to the measurements he uses to reach his conclusions: ie. positions of people and vehicles, speeds of vehicles, angles of vehicles and rates of change of angles, limitations of film resolution, uncertainties of film speed etc.
In order to determine a margin of error you need to follow accepted rules.
Example: You make a measurement 10 different times. You then use an appropriate statistical method for determining the most likely value and the error range. Assuming the samples formed a normal distribution about a mean value one would use the average of those 10 readings and work out the standard deviation (the square root of the sum of the squares of the difference between each value and the mean). The margin of error would be two standard deviations, which is the range within which 95% of the values occur. That would then be the error range for that measurement.
Of course, that assumes that you are not basing the measurements on assumptions that introduce further uncertainty. If you are making the measurements based on values that themselves have a margin of error, then you need to factor those error margins into your work. And you need to show how you calculated these things by providing the data so that the reader can check your work.