Sometimes a random sample of subjects or patients may be exposed to a battery of diagnostic tests or medication over time and interest is on determining whether there is progressive remission of condition, disease or symptom. Also perhaps early in a program or experiment, subjects or candidates may be required to significantly improve in their performance rates at the current trial relative to an immediately preceding trial, otherwise they may have to withdraw from or drop out. The research interest would then be to determine some critical minimum marginal success rate to guide the management in decision making as well as in policy implementation. Success rates lower than the minimum expected value would indicate a need for some remedial actions. A method of estimating these rates is proposed assuming that the requirement is at the second trial. Pairwise comparisons of proportions of success or failure by subjects or candidates in a sequence of experiments or trials over time or space are conducted to ascertain which subject or combinations is responsible for the rejection of the null hypothesis. The proposed methods is illustrated and shown to be at least as efficient and powerful as competitors.