The first problem for a Popperian to consider, though, is whether he can really talk of a severe test [of a theory] without the use of inductive reasoning....The reason he thinks that the inductive reasoning comes into play is that he is in the habit of making inductive assumptions. A Popperian can see at once how to avoid them. It is the same way we approach problems in general. Make a guess at the solution, then subject it to criticism and try to find mistakes or better guesses. So if we want to know how severe a test is, that's what we'll do, not induction. Before criticizing Popper in published work, one should make a serious attempt at understanding Popper.
For a severe test is one which is unlikely on past evidence. Without using some sort of inductive assumptions, how can one move from past experience to calculations of present (or future) probability?.... All we have, on non-inductive grounds, are reports of past experience, and generalization from them is forbidden. [pp. 39-40]
Anthony O'Hear is quoted at http://www.friesian.com/ohear.htm as saying: