Q.Assertion (A): Assumption free tests are some what less powerful than parametric techniques when assumption for the latter are met. Reason (R): Assumption free tests are powerful because the researchers do not use scientific sampling methods. Code:
Correct answer: (A) is correct and (R) is not correct
Explanation
Assumption free test are somewhat less powerful than parametric techniques when assumption for the latter are met. Assumption free test or non-parametric test does not assume anything about the underlying distribution, that is the data can be collected from a sample that does not follow a specific distribution. where as parametric techniques make assumption about the parameter of population distribution from which the sample is drawn, making it more powerful than assumption free test.
Assumption free test are somewhat less powerful than parametric techniques when assumption for the latter are met. Assumption free test or non-parametric test does not assume anything about the underlying distribution, that is the data can be collected from a sample that does not follow a specific distribution. where as parametric techniques make assumption about the parameter of population distribution from which the sample is drawn, making it more powerful than assumption free test.