It is ages since I analysed anything statistically (30 odd years) so I am extremely rusty, but number of trials required also depends on spread of results. Any statisticians here able to lend me a hand? There is nothing commercial in any of this. I do not even have a blog, do not participate in Facebook, do not have a website. Results will be freely shared. I will report any conclusions on the cruising forum as well.
The problem on board is that apart from equipment, I am extremely limited by materials. I currently have old jib sheets and halyards I can use - precious as testing on old line is, I feel, vital. Old line has been stretched, UV exposed and salt impregnated. Unlike climbers who would replace line frequently after big loads, sailors continue using line for years. Tests in new line are great (and I will do these too), but unfortunately don’t replicate ‘real world’ performance. Simply storing large quantities of line in different diameters is difficult.
The line (and particularly the knot) shouldn’t be reused for trials as the trauma to the line may affect the subsequent result. Over a metre of line (x2) is used each time. So imagine how much line I am going to need if 25 trials are done per knot (per diameter, as thicker line performs very differently: the thicker the line, the bigger the gap when it bends). Just way beyond my scope.
I think perhaps all I can do is get a rough idea what knots look promising and need to be investigated further.