Do you mean the paper
BR Wienke: "Deep Stop Model Correlations". J Bioengineer & Biomedical Sci 5:155. doi:10.4172/2155- 9538.1000155
You can download as PDF at:
Deep Stop Model Correlations | Open Access | OMICS International
The authors conclude that VPM and RGBM correlate strongly with the LANL database, whereas USN and ZHL16 do so only weakly. There was a discussion about the submission on rebreatherworld.com but not with too many details about the applied methods and their validity.
If you are interested in the statistical methods of this paper, I recommend reading another paper first:
E.D. Thalmann et al: "Improved probabilistic decompression model risk predictions using linear-exponential kinetics". Undersea and Hyperbaric Medical Research Society, 1997.
http://www.diverbelow.it/attachments/article/131/Thalmann et alii. Improved probabilistic decompression model risk prediction using linear-exponential kinetics.pdf
Regarding the first paper of Bruce Wienke, I see two issues: (1) the definition of risk function over compartments is unclear, and (2) the result interpretation is flawed.
(1) Thalmann describes in his paper how the risk function depends on the supersaturation of each compartment. There's a threshold and weight for each compartment, so that the total risk function has 2*n parameters to be fitted for n compartments. In Thalmann's case it's only three compartments, hence 6 parameters for the risk function (plus 3 or 6 for the gas kinetic model).
In Wienke's paper there are only two parameters κ and ω. Why so few? How are the 16 compartments weighted? He writes "The asymptotic exposure limit is used in the likelihood
integrals for risk function, r, across all compartments, τ". But this compartment index τ doesn't show up anymore.
Did he just sum up compartments with no weights? Such a risk function would probably not fit well to the data, no matter what model you use, and you can see that in the results.
(2) In the results please see Wienke's Table 4 and Thalmann's Table 3. Both use a null model for comparison, i.e. a reference model that returns a constant DCS risk independent of the profile. Thalmann calls it "NULL", Wienke "1-step set".
The "1-step set" is a trivial model+risk function that returns P(DCS)=0.0077 for any profile. This is just the average DCS rate over the whole data. In Thalmann's paper it's called a NULL model with p=0.00003.
The "6-step set" is a trivial model+risk function that returns a constant PDCS depending on the dive depth. For example in the 0-199fsw subset ( Table 3 column 1), it's 5/(268+213+10+22+12) = 0.00952381
6-step model will be slightly better than 1-step, but obviously both of these "models" are pretty bad. They are used as a reference, because any model that predicts DCS risk from the dive profile should do better than trivially assuming a constant risk independent of the dive (1-step), or a risk that depends only on depth (6-step).
Thalmann get's that right and all of his models are significantly better than the NULL model.
Wienke get's it wrong, he writes "The canonical value, Ψ6 , is the LL for the 6-step data set. No fit value, Ψ, will better the canonical value, Ψ6". He seems to think that the 6-step model is the best possible one, maybe because all of his models are worse than 6-step. But that's nonsense, LL can be arbitrarily negative.
So, the conclusion from Wienke's Table 4 should have been: all models are useless (RGBM, USN, ZHL16, VPM). They are better than assuming a constant risk (1-step), but none of the tested models can predict the DCS risk better than guessing DCS risk from the depth of the dive alone (that's what 6-step does).
I guess the reason why no model beats 6-step in Table 4 is a useless choice of risk function.