The conditions that two different parameters in a same randomness test should satisfy if they are independ- ent with each other was studied based on statistical theory. And a hypothesis method was proposed to test whether two parameters were independent or not. A series of experiments were designed to study the relations among the parameters gather of poker test

which was selected as a research instance by means of this method

and the experiment results were analyzed in details. The method is general and it can be used to deal with other randomness test

such as entropy test and binary derivation test. The work is helpful to select reasonable and scientific parameters in practical randomness test.