Page 1, line 27: I prefer "continuous" to "numeric". The model postulates a quadratic dependence of the response, xylan, over intermediate values of the factors TIME,TEMP and CONC to the levels chosen for the experiment, so that the response surface is indeed continuous in these factors. Pages 1-2, lines 28-29 and 1: I prefer "In addition, a modified severity index (log M0) constructed as a function of all three factors, explains most of the variation in xylan or lignin reduction in simple linear regressions. The coefficients of determination from these two models were R^2=0.89 and R^2=0.78, respectively." to "In addition, linear models ... respectively." In any event, where you say "parameter" as in the treatment parameter TEMPERATURE, I am thinking experimental "factor", as in something that can be controlled in the designed experiment. I know that the term parameter is used by many authors as you've used it here, but I parameters as unknown values that must be determined by the experiment. I think the translation from greek for para-meter is "almost measure." I'll end my sermon here. Page 2, line 22: [plausible] Page 3, line 13: "[were] observed" ? Page 3, line 24: [concerns] Page 3, line 32: [amenable] ? Page 5, line 20: [enzymatically] ? Page 7, lines 1-4. Your description is fine. This is how I would be inclined to describe the modelling: "The experimental design was crossed and complete with respect to temperature, time and concentration. Factorial effects models with main and interaction effects were fit using PROC GLM in SAS. Multiple comparisons among treatment means were carried out using Tukey's procedure to control the experimentwise error rate at 0.05 for each response variable. In cases where interaction effects were significant, the SLICE option was used with the LSMEANS command of the GLM procedure to test for simple treatment effects of one factor while holding the other two factors constant." Page 7, lines 8-9: Again, I prefer "treatment effects of one experimental factor ... other two treatment factors" to "treatment effects of one parameter..." Page 7, line 21: n=0,1,...,[9] Page 7, line 24-27: I'm unclear on what validation was really done here. I'm also not too worried about the bias in the assessment of error. With designed experiments, external validation is unnecessary, as there is no model selection involved. In this case, we do have a little model selection taking place when we exclude non-significant coefficients based on the data. I think it has been summarized perfectly in lines 24-26: "Additionally, since the data set ... predictive ability of the models." I suggest we might consider omitting the next sentence which begins "Hence the same data ..." as we didn't really carry out any validation. Page 8, line 6: [logarithm] instead of "log value" ? Page 9, line 5: [predominantly] [a]ffects hemicellulose with [] little impact [on] Page 10, line 26: [solubilized] Page 13, lines 6-7: I might consider "There was no evidence (p>.05) of any effects of any of the treatment factors on the lignin content of pretreated solids." instead of "There was no significant (p>.05) difference ..." Page 13, line 8: [Hydrogen] Page 13, line 9: degradation[s] Page 14, lines 21 and 26: "sparing" or "sparging" ? Page 15, lines 26: "...2.2 times and 1.4 times thhe amount of acid insoluble material, [respectively], compared to sodium..." Page 15, line 30: and concentration as [continous] variables Page 16, line 15: [solubilized] Page 16, lines 27-31 and page 17, lines32-33.: I am not following what is reported here. The coefficient of determination, R^2 for any model is also the squared correlation between the fitted and observed values. Further, the "forced through zero" remark is confusing for me because the estimated intercept will deterministically be 0 when the observed values are regressed on the fitted values. I suspect the slight disagreement between the R^2 you report after Eqn 6 (.964)and on line 30 (.96)is due to rounding or round-off error, similarly for the R^2=.924 before Eqn 7 and on line 1, page 17 (.90). Another possibility is that I'm missing something. Page 18, lines 1-2, I think the capacity of the modified severity [index] to predict xylan solubilization is remarkable! I think the capacity to predict %lignin reduction is still awfully good. If we try to explain why R^2 isn't closer to 100%, we're speculating. One other possibility is that the association between lignin redux and the treatments is sufficiently complex so that the modified severity index cannot completely characterize the association. Page 18, line 21: I prefer "treatment factor" over "treatment parameter."