Abstract
When outside estimates are more reliable than some existing tabular estimates of resource statistics, they should be substituted for or combined with the tabular estimates to yield new estimates. Because of this substitution, cell estimates do not sum to the original marginal or overall totals. Various methods can be used to adjust the unchanged cell values to regain additivity. Classical and bootstrap variance estimators are given for the n × 2 case setting a cell proportion at a presumed known value with fixed marginal totals, and for the n × m case setting a cell proportion at a presumed known value with no marginal constraints except that the table total is fixed. For a 3 × 2 test case only, the bootstrap variance estimator yielded reliable estimates of precision for the other adjusted cell proportions in all cases. For the n × m case, a classical variance estimator was more stable than the bootstrap variance estimator, and both had about the same bias.
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