Ordering genes: Controlling the decision-error probabilities
- State Univ. of New York, Binghamton (United States)
Determination of the relative gene order on chromosomes is of critical importance in the construction of human gene maps. In this paper the authors develop a sequential algorithm for gene ordering. They start by comparing three sequential procedures to order three genes on the basis of Bayesian posterior probabilities, maximum-likelihood ratio, and minimal recombinant class. In the second part of the paper they extend sequential procedure based on the posterior probabilities to the general case of g genes. They present a theorem that states that the predicted average probability of committing a decision error, associated with a Bayesian sequential procedure that accepts the hypothesis of a gene-order configuration with posterior probability equal to or greater than [pi]*, is smaller than 1 - [pi]*. This theorem holds irrespective of the number of genes, the genetic model, and the source of genetic information. The theorem is an extension of a classical result of Wald, concerning the sum of the actual and the nominal error probabilities in the sequential probability ratio test of two hypotheses. A stepwise strategy for ordering a large number of genes, with control over the decision-error probabilities, is discussed. An asymptotic approximation is provided, which facilitates the calculations with existing computer software for gene mapping, of the posterior probabilities of an order and the error probabilities. They illustrate with some simulations that the stepwise ordering is an efficient procedure. 18 refs., 9 tabs.
- OSTI ID:
- 6247284
- Journal Information:
- American Journal of Human Genetics; (United States), Vol. 52:5; ISSN 0002-9297
- Country of Publication:
- United States
- Language:
- English
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