Next step: Armor (I would rather prefer the term "protection")
2.1.: Qualities:
The author of combined fleet is correct here. According to post war analysis of Face hardened armor:
1.00: britisch cementated
0.98: german KC new
0.93: italian face hardened
0.93: US Class "A" face hardened
0.89: japanese Vickers made face hardened
unknown: french face hardened
homogenious is a lot harder to deal with. No overall agreed solution has been found but all agree that US homogenious is the best and japanese the worst. homogenious is a lot weaker than face hardened but it can be made in smaller thickness and it doesn´t have the bad sclaing effects typical for face hardened armor.
2.2.: armor belt
The author gives the Bismarck a 5.5, which is the worst figure of all contenders. Why? Because it is possible to penetrate with 15"/52 at 29.000yrds (compare: Yamato at 17.700 yrds, Iowa at 16.400 yrds) the main belt.
However, this is technically true but a worthless information. Penetrating the main belt doesn´t mean to damage the vitals as the author might suggest here. Some ships do have additional defenses some, like Littorio, doesn´t have. Bismarck has the best of all.
Behind the main belt is a 45 degrees inclined 100 mm Wotan hard belt. Behind this one is a 45 mm Wotan soft torpedo bulkhead to contain blast effects and fragmentation. A penetration into the Bismarcks vitals via main belt is impossible, even with Yamato´s 18.1"at 0 distance.
All other contenders are vulnarable under 10.000 yrds into their vitals via main belt using Bismarcks 15"/52. So this can only be reflected with Bismarck getting a 10 and the best following getting a 7 or less figure.
2.3. Deck penetration
I agree with the author. Bismarck was designed for flat trajectory combats, not for long engagments in the bad weather of the North Atlcantic. =7.01
(compare Yamato: 10, Richelieu 9.5, Iowa and South Dakota 9)
2.4. Composite figure:
again, something very speculative: The author is telling us that deck penetration is 1.5 times as important than belt penetration. Umm, checking the combat records doesn´t confirm this: (sorry for repetition) Longest Distance hit against freely moving target in ww2: Gneisenau vs. Glorious (A carrier, what a large target size!) at 27.000 yrds. At these distances you would record more often (depending on the gun used) belt than deck penetrations. Hood can be explained with belt penetration, too (although often is referred as deck penetration. Knowing the 15"/52 ballistics this is improbable).
2.5.: Originally not included: protection of superstructures. This, clearly isn´t a benefit of Bismarck but must play a role here, too. Yamato is by far the best(10). Iowa and South Dakota suffer from the use of weaker homogenious armor instaed of face hardened, but this is offsetted by it´s huge thickness on turrets(8.5). KGV suffers from worse conning tower protection (7.5), Richelieu shows no striking weaknesses (8.0), Bismarck is at best mediocre (7.0), Littorio worse at all (6.5)
2.6: (not included) waterline protection:
the percentage of waterline protected by the armor zone (the shorter the armor zone is, the easier it is to sink the ship without critical hits)
Bismarck 8.4 (84%), Richelieu: 6.0 (60%), Iowa:5.8; South Dakota: 5.2, Yamato: 4.9
2.7.: Final rating: Bismarck would get a much, much better rating than 6.0.
Indeed it´s perfect protection of their vitals is bringing the ship on top of all, dependand on how important deck penetration is for you.
I would rather multiply all factors:
1.)Yamato: 3185
2.)Bismarck: 3165
3.)Iowa: 3105
This figure is much closer to each other, which makes me "feel" more correct.