I have a paper that proposed a hypothesis test that is heavily based on existing tests (so it is pretty much a procedure built on existing statistical tests). It was rejected by a few journals claiming that it was not innovative, although I demonstrated that it outperforms some commonly used tests.
Are there any journals that take this sort of papers?
You can try submitting your paper on the Indian Journal of Statistics: Sankhya, published by the Indian Statistical Institute, Kolkata.
F.D.C. Willard You can contribute to applied statistics journals if your work involves simulation and computation, there are enough WoS indexed journals in this area.
Also, go for applied mathematics journals. Ensure the journals' aim and scope include probability theory and statistics.
There are two different strategies for submitting this type of work: 1) find a statistical journal that accepts more applied work or 2) find a scientific journal that finds your work of interest. What scientific, engineering, or medical problem are you trying to solve with your new method? What does your work add or provide to the community that is not addressed in the current literature? Once you know the answer to these two questions, you can better determine which journal to submit.
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