Charles Dowding recently published the latest results in his long-term comparison of a no-did and a "dig" bed. There's also a statistical analysis of the results.

Conclusions:

In overall, no significant differences of weights were found between “dig” and “no dig” levels in both analysed trials. Nevertheless, some vegetable types showed significant to very highly significant weight differences between these two levels. These significant differences were always due to greater weights in the “no dig” level. However, no similar vegetable type was found highlighted in both datasets (kale, parsnips, lettuce and spinach). Kaibrocs and squashes being only present in one trial, the significant difference found in their weights could not be further investigated.

It is interesting to see that the statistics show no overall difference between the two beds (but some significant differences when you look at specific vegetables). So, with the no-dig approach, his data suggests that with less work/energy/resources you can get the same amount of produce.

https://charlesdowding.co.uk/no-dig-trial-2013-2019-current-year-at-top