So the sheer number of knives/lanes doesn’t really lend itself to a classical Cpk/Ppk study with subgroups.
You are better off calculating Cpk from the short term variation (between adjustments) and Ppk from the long term variation (over several adjustment periods). You would use the total standard deviation of all points in each case. The differentiator is time and not within & between subgroups. Alternatively you might calculate the total variation within each lane and ‘pool’ it. This will be your short term SD. then use the grand average of all of the lanes as your average. This will be the ‘best’ ‘capability’ (Cpk) of your process. This is what you would get if you centered all of the knives together.
You are better off calculating Cpk from the short term variation (between adjustments) and Ppk from the long term variation (over several adjustment periods). You would use the total standard deviation of all points in each case. The differentiator is time and not within & between subgroups. Alternatively you might calculate the total variation within each lane and ‘pool’ it. This will be your short term SD. then use the grand average of all of the lanes as your average. This will be the ‘best’ ‘capability’ (Cpk) of your process. This is what you would get if you centered all of the knives together.