wow...I don't know where to start with this one...
I read through this article...I'm speechless, all I can say is it is laughable...a joke.
I'm about to go on a long tirade...
Before I start, Id like to qualify some things...In my years in college, I took numerous classes on statistics and research...and in my job I deal almost daily with statistics and statistical models in our materials lab...I'm no chemist or biologist, but on the subject of statistics, I'd consider myself "above average"
Ok...this "study" of theirs is laughable,from a statistical viewpoint it is so flawed, biased, and improperly conducted as to be a joke. Lord, I hardly know where to start with this one. From this study, one can draw almost no absolutley statistically significant conclusions whatsoever.
I'll start with their substrate selection, using the coarse substrate over the plenum as a specific example. They said it has a "mean" value of 2mm. "mean" value is the total sum of the indivdual observations divided by the total number of observations....the more familiar term for this is "average". The mean value of the particle size tells you very little about the substrate as a whole. Mean values are useless as a descriptor of the entirety of the substrate unless the other 4 main statistical values are described as well...median, mode, range and standard deviation.
Say you analized each individual grain in a sample of sand and you made a list of all of them according to diameter. The "mean" value would be the average diameter of the sand. the "mode" would be the most commoly occuring value in the list "median" would be the value that occupies the center of the list, at equal distance from the extremes of the range. The "range" is the difference from the smallest diameter grain to the largest one. The "standard deviation" would be the average amount to which each individual grain differs from the mean value. Once all these values are accounted for, one can get a much better idea of the actual gradation of the substrate as a whole.
Ok..they had a coarse substate with a "mean" value of 2mm...well, there are a lot of different gradations of substrates that can have a mean value of 2mm....did the substrate have a range of 0.1-4mm with a median and mode of 2mm? or did the substrate have a range of .01mm-10mm with a median and mode of 1mm? both subsrates are very different in overall paritcle size, but could easily have a mean value of 2mm....and since the differences in the two substrates can mean large differences in the sand vs. water ratio in the overall volume of the substrate, consequental observations can be greatly affected...
Ok, let's assume they have a nice smooth sand gradation on a standard bell curve...the range is 0.1-4 mm, the median is 2mm and the mode is around 2mm give or take...If you read Jaubert, Goemans, Gamble and other plenum advocates, they all stress the importance of using a substrate no finer than 2-4mm, it's critical to plenum performance. This substrate range, projected onto a similar bell curve would have a median and mode of around 3mm give or take. So you can see, there is substantial difference in the substrate...the one they used has a mean value that is only the same as the beginning of the actual range of the recommended substrate over a plenum...bottom line, they didn't even set up their plenum as recommended, thier most coarse substrate over it is still too fine. This in and of itself is enough to invalidte any of their conclusions reguarding the plenum system. (but it still goes MUCH deeper than this...
) In statistics we have a term called "researcher bias", where the researcher, either knowingly or subconsiously, manipulates conditions in the experiment to skew the results in one direction or another....could be some of that going here? Didn't even set the plenum up as recommended... :doubt:
Ok...on to the livestock an other things....aside from the fact that their sampling was pathetically small (I know, the logistics of carrying out a larger experiment are huge), it appeared to lack any control at all. Were the livestock used in the study randomly selected from a larger population gathered in the same manor and QT'd to ensure basically uniform health? Same with the rock, was it selected randomly from a larger, similarly handled and QT'd popultion? It doesn't appear so...so couple this with the small sampling size, and you quickly have a large amount of mathematical bias....which will totally skew the outcome of the experiment.
Another HUGE flaw in the methodology here was the total lack of a control, or "placebo" group. A placebo group is an equal random draw from the same population that is NOT exposesd to the stimuli being tested, as a basis of comparison. And it's absolutely critical to have a placebo group if one wishes to prove statistical significance of one's findings. They simply didn't have a control group...you all who have pointed out that there was no BB tanks in the study are right on the money, that would have been the placebo group.
Next was their paragraph on the statistical analysis....I read, re-read and re-read again that nasty train wreck...here is what I gathered from it...they are using various statistical models to determine statistical significance and demonstrate the validity of their actual observations. Basically, what this means is that the differences they are observing in these tanks are not due to a randomness in testing proceedures and methods to any statistically significant degree. (I'm going to run this article by my old stats professor at the college and see if he agrees with my intrupretaion of thier statistical analysis.) What can one infer from this? Their methodology of testing the various parameters are reliable, and the results are due to condtions in the individual tanks and not randomness in the tests themselves, that's about it.
Bottom line...this experiment is so fundamentally flawed that one really can't draw any kind of valid conclusion from it, other than the test results of their observations on the first place, and then only as they apply to that very tank they were testing...
Does it prove that one substrate is better than another in reguards to mortality? ABSOLUTELY NOT!!!!
MikeS