
        
        Did Mendel "cheat" ?
        
      
         
Analysis
of
          Mendel's data has led to speculation about the accuracy and
          completeness of his reported results, and a perennial
          question, Did Mendel Cheat?
        
            (1) Statistical analysis of the
            ratios reported in Mendel's 1866 paper suggest they
          are "too good:" they conform more closely to the
          predicted 3:1 ratio than would be expected given the number of
          observations. This has led to suggestions that Mendel
          selectively presented only those data that best supported his
          hypothesis, or even fabricated the data outright. An
          alternative explanation is that Mendel may have observed
          ratios close to 3:1 in early counts, and thereafter continued
          counting until he felt confident that genuine 3:1 ratios had
          been obtained. Researchers nowadays would pre-determine the
          number of seeds to be counted in each experiment, but such
          statistical sophistication was not available in the the 1860s.
        
            (2) Mendel
          worked with seven genes, and
            Pisum has seven pairs of chromosomes. It is highly improbable that
          seven randomly-chosen genes would each occur on a separate
          chromosome. Dihybrid crosses involving genes on the same
          chromosome would have shown linkage,
          which would have been unexplainable by Mendel's rules. [Remember that chromosomes had not
          yet been observed in the 1860s]. Therefore, it is concluded, he
          must have thrown out some dihybrid results that didn't fit his
          rules. 
          
              In fact, the seven gene loci map to
              only six chromosomes, and the two on the
          same chromosome are on opposite sides of the centromere, so
          they do not show linkage
              disequilibrium. As there are (7)(7-1)/2
          = 21 possible dihybrid crosses, and Mendel reported
          results from only a few of these (not including the linked
          pair), there is no reason to doubt the accuracy of his
          dihybrid results.