Quick answer.....yes:
"Twenty-five out of 50 tests produced significant excess heat."
"If so, what is the ratio between energy-in and energy-out?"
I haven't read THIS paper yet (will do so today), but typically, EO/EIN can range from 1.1 to infinity (i.e. zero EIN). The companies claiming to have working prototypes range from six (Rossi), fourteen (Schwartz) and up.
"That's tough reading for a layman."
If you want to read a really excellent exposition of the science, read George Beaudette's book "Excess Heat". It is written sufficiently clearly that the layman can understand what is going on, but includes sufficient detail and references such that the deep technical expert can benefit as well.
Google search (Beaudette "Excess Heat") will find a PDF file on LENR-CANR.org that has excerpts. The excerpts are very limited.....the full book has MUCH more.
Great post.
Thanks.