Concept:
Senna contains anthraquinone glycosides, which are responsible for its laxative action.
Step 1: Understanding anthraquinone glycosides.
Anthraquinone glycosides are plant constituents commonly found in laxative crude drugs such as senna, aloe, and cascara.
Step 2: Test for anthraquinone glycosides.
Borntrager's test is used for detecting anthraquinone glycosides.
Step 3: Principle of Borntrager's test.
Anthraquinones are extracted and treated with alkali. A pink to red colour in the alkaline layer indicates presence of anthraquinone glycosides.
Step 4: Checking other tests.
Keller--Killiani test is used for cardiac glycosides.
Shinoda test is used for flavonoids.
Foam test is used for saponins.
Borntrager's test is used for anthraquinone glycosides.
Step 5: Final answer.
Therefore, the diagnostic test is Borntrager's test.
\[
\boxed{\text{Borntrager's test}}
\]