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Competitive limits on the weakly interacting massive particle (WIMP)spin-independent scattering cross section are currently being produced by 76Gedetectors originally designed to search for neutrinoless double beta decay,such as the Heidelberg-Moscow and IGEX experiments. In the absence ofbackground subtraction, limits on the WIMP interaction cross section are set bycalculating the upper confidence limit on the theoretical event rate, given theobserved event rate. The standard analysis technique involves calculating the90% upper confidence limit on the number of events in each bin, and excludingany set of parameters (WIMP mass and cross-section) which produces atheoretical event rate for any bin which exceeds the 90% upper confidence limiton the event rate for that bin. We show that, if there is more than one energybin, this produces exclusion limits that are actually at a lower degree ofconfidence than 90%, and are hence erroneously tight. We formulate criteriawhich produce true 90% confidence exclusion limits in these circumstances,including calculating the individual bin confidence limit for which the overallprobability that no bins exceeds this confidence limit is 90% and calculatingthe 90% minimum confidence limit on the number of bins which exceed theirindividual bin 90% confidence limits. We then compare the limits on the WIMPcross-section produced by these criteria with those found using the standardtechnique, using data from the Heidelberg-Moscow and IGEX experiments.Comment: 6 pages, 3 figures, 3 tables, shortened version to appear in Phys.  Rev. D, contents otherwise unchange

Calculating exclusion limits for weakly interacting massive particle direct detection experiments without background subtraction