Is there a positive predictive value for sesame?

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Wow-- thanks for the update.  Unfortunately not good news.  But important.   

Yes, not good, but important.

Although this study wasn't able to establish a 95% positive predictive value, it did mention an older study -

Lastly, Ho et al. identified a sesame SPT wheal diameter ≥ 8 mm as being predictive of a positive food challenge with > 95% accuracy.

Ho MH, Heine RG, Wong W, Hill DJ. Diagnostic accuracy of skin prick testing in children with tree nut allergy. J Allergy Clin Immunol. 2006;117(6):1506–8.[PubMed]

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One last interesting thing from this study before I let it go ...

It is quite interesting that all 7 failed food challenges were patients screened for sesame allergy as a result of having peanut and tree nut allergies; 4 had previously tolerated sesame but asked to restrict sesame from their diet based on positive results.

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"Predicting food allergy in infants with skin prick test and allergen-specific IgE"
http://www.aaaai.org/global/latest-research-summaries/Current-JACI-Research/predicting-food-allergy.aspx

Using a population cohort of 5276 infants, Peters et al recently published in The Journal of Allergy and Clinical Immunology (JACI), SPT and sIgE thresholds with 95% PPV for challenge-confirmed peanut, egg and sesame allergy.

They found that the SPT 95% PPV for peanut and sesame allergy was ≥ 8mm