krigeage in its title. Did Matheron ask Krige whether he wanted his name to become a genuine eponym?
Matheron was a master at working with mathematical symbols. He couldn’t possibly teach his students how to test for spatial dependence between mathematical symbols. What’s more, he didn’t even know in the 1950s how to test for spatial dependence between measured values in ordered sets. Neither did he know how to test for spatial dependence in his 1965 PhD thesis! As a matter of fact, Matheron has never tested for spatial dependence between measured values in ordered sets. He did not know how to apply Fisher’s F-test to the variance of a set and the first variance term of the ordered set. Degrees of freedom for both sets ought to be counted and taken into account. Matheron is remembered as Founder of Spatial Statistics and as Creator of Geostatistics. I couldn’t have cared less what his disciples called him. But why did he never test for spatial dependence by applying Fisher’s F-test? Why did he strip the variances of distance-weighted averages cum kriged estimates? Why did he assume spatial dependence between measured values in ordered sets?
Those who were to judge Matheron’s PhD Thesis on November 10, 1965 may well have asked him to put in plain words the nitty-gritty of his thesis. Matheron had called it “LES VARIABLES RÉGIONALISÉES ET LEUR ESTIMATION”. His PhD supervisors were Professor Dr Swartz, President, Professor Dr Fortet and Professor Dr Caileux, Examinators. This team proposed a second thesis with the title “PROPOSITIONS DONNÉES PAR LA FACULTÉ”. Did Matheron’s supervisors ask him to jump hoops? And how far would Matheron jump to defend variance-deprived distance-weighted averages cum kriged estimates? The very first of 301 pages of Matheron’s 1965 thesis mesmerized me. Why had Matheron cooked up a pair of prime data sets? Why were both inserted under INTRODUCTION on the very first page? Why didn’t he show how to test for spatial dependence? Why is it that PhD candidate George Matheron did not know how to test for spatial dependence and how count degrees of freedom?
All it takes to test for spatial dependence is to compare observed F-values with tabulated F-values. Of course, degrees of freedom ought to be counted and be taken into account. I have applied Fisher’s F-test to verify spatial dependence in sample spaces and sampling units alike. I have done so ever since I worked on ASTM and ISO Standards. Geostatistical software converted Bre-X’s bogus grade and Busang’s barren rock into a massive phantom gold resource. I unscrambled the Bre-X salting scam by proving that the intrinsic variance of gold was statistically identical to zero. Of course, it is of critical importance to have a good grasp of the properties of variances.
It became Matheron’s new science of geostatistics when the variance was stripped off the distance-weighted average and what was left was called a kriged estimate. Did Matheron really think that he had created a new science. Geostatistocrats still believe he did!