If you're asking about simple things that can be measured, like MV & FPE, those questions can be answered.
If you're asking about relative "effectiveness" as a dedicated defensive caliber in a small revolver? Well, that can become a bit less easily and clearly defined.
Once you get down in shorter barrel lengths, where velocity starts to drop off compared to the typical 4,5 & 6 inch "service length" barrels of yesteryear ... bullet design becomes an important consideration.
Some attention has been focused upon the .38 Spl & .357 Magnum cartridges in more recent years due to their (once-again) increasing popularity as off-duty/secondary weapons for LE and CCW weapons carried by private citizens.
Some of the newer bullet designs have been designed to offer better consistency of "performance" (some combination of penetration and expansion, depending on the maker's emphasis for whichever market niche is desired), especially in the shorter "2 inch" snubs.
A couple of the newer offerings are the Speer GDHP 135gr +P and the Winchester PDX1 (RA38B in the Ranger line) 130gr +P. Both seem to offer a nice balance of penetration and expansion when tested under some of the commonly used barrier/gel testing conditions.
The .357 Magnum has received some attention in this regard, too.
The .44 Spl? Not so much (by the major makers). I still have a couple of boxes of the early production Blazer 200gr GDHP .44 Spl in my ammo collection, though, from back when I was still carrying one of my .44 Magnums (for those instances when the 210gr STHP .44 Magnum loads might have been a bit on the "too powerful" end of things for my desires in urban carry roles).
Now, while the .357 Magnum is just about always able to produce additional velocity over and above that seen in .38 Spl (standard and +P loadings), the additional muzzle blast and felt recoil have to be taken into account for most folks, too. The perceived recoil factor can become even more of a consideration when discussing the ultra lightweight guns.
For example, while I can run Magnum loads in my pair of M&P 340's, and get fast and accurate hits on qual & training threat targets, the increased recoil takes its toll much more quickly than when I'm using +P in them. I much prefer to use the Magnum rounds in my heavier Ruger SP101 DAO, and use +P loads in my Airweight J-frames. I don't feel the better designed bullets available in some of the big name +P loadings are going to cause me to "suffer" a loss of potential effectiveness as far as my perceived needs and desires.
Now, if I were going to carry a 3" J-frame again, or even a 3" M10/13/64/65, and was going to restrict myself to 38 Spl +P in the M13/65's, I'd not feel under-equipped using the Remington version of the 158gr LHP +P (with its softer swaged bullet), or one of the newer hollowpoints.
I'd carry Magnum loads in the 3" M13/65's, though, given my druthers ... or a 3 1/16" SP101 or 3+" Magnum J-frame, for that matter ... since I'd prefer to err on the conservative side of a bit more "power" when using the heavier all-steel guns. Why not? (As long as shooter abilities and practical accuracy aren't adversely affected, of course.)
I really enjoy using a 2 1/2" M66. Shooting it from 3-80+ yards made me remember why I used to enjoy carrying and using medium-frame .357 Magnum revolvers many years ago a a younger cop.
BTW, when revolvers were still mainstream duty weapons, the magazine articles of the day often included chrono testing and discussions of barrel length, expansion, "effectiveness & power" & whatnot. It was a topical subject and helped sell magazines.
Back in those days, I remember often thumbing through the ammo articles and seeing how the 2 1/2" snubs did for different chrono testing done by different authors (meaning K-frames & Pythons, for the most part, although the DW, Ruger and other Colts would sometimes pop up).
It wasn't unusual to see the Remington and Federal 125gr loads running around 1250-1300+ FPS in the 2 1/2" snubs, down from 1400-1450FPS in the slightly longer 4" service guns (6" guns were still common enough among older revolver carriers in LE, and really optimized the potential of the .357 Magnum cartridge). That was when we had less well engineered bullet designs, though, and when higher velocity was somewhat of a more critical consideration.
FWIW, the introduction of the mid-range (weight and power) Winchester 145gr STHP attracted some users, though, even with the attention the 125gr JHP's were attracting toward the end of the revolver's LE heydays. A couple of the other 140gr Magnum loads were still to be found on store shelves, too.
Naturally, all this discussion of relative "power" is pretty much moot unless its combined with accurate shot placement. For that reason, the various revolver configurations (meaning size & weight) and the felt recoil & controllability issues might become more important than the perceived "attributes" of any of the particular 3 calibers mentioned.
Just my thoughts.