Strong heredity

Sequential bifurcation may give misleading results if, say, two factors have unimportant main effects but the interaction between them is important (see, also, Lewis and Dean, 2001). However, we only consider situations in which the following strong heredity assumption of Wu and Hamada (2000) holds. 

The number of possible subsets of active effects will be 2h if all possible subsets of active effects are considered. Hence a log base 2 transformation is used on the vertical axis of Figure 3. Strong and weak heredity reduce the number of subsets... 

Nelder, J. A. (1998). The selection of terms in response-surface models How strong is the weak-heredity principle The American Statistician, 52, 315-318. 

For many years, biologists searched for the identity of the genetic material of life. Some scientists thought that the genetic material was protein. Others believed it was nucleic acids. By 1944, strong evidence pointed to DNA. In 1952, Alfred Day Hershey and Martha Chase published the results of their experiments, which confirmed that DNA, not protein, determines heredity. 

The strong evidence for hereditary susceptibility to diabetes leads many health professionals to believe that for diabetes-prone families, the potential to become diabetic is present in all members at the time of their birth. Whether or not they develop clinical signs of the disease depends upon their exposure to factors which may precipitate or aggravate the disease. If this concept is correct, then heredity is the single cause of diabetes. Therefore, it is important to... 

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