Jonckheere Terpstra test is the test for detecting particular types of departures from the independence in a contingency table in which both the row and column categories contain the natural order (it is the doubly ordered contingency table). For instance, assume the r rows represent r distinct drug therapies at the progressively increasing drug doses and the c columns represent the c ordered responses. Interest in this case may centre on detecting the departure from independence in which drugs administered at larger doses are much more responsive than the drugs administered at
smaller ones.