what's the best way to find the p value from the test statistic?

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Expert Solution

Here we want to find p-value from the test statistic.

The first thing we have to remember the p-value depends not only on test statistic but also on which hypothesis we are testing.

Let us suppose our hypothesis will be, below are exhaustive sets of the null and alternative hypotheses.

a) H10: vs H11:

b) H20: vs H21:

c) H30: vs H31:

We will write the p-value for the above cases, Assume test statistic will follow a distribution F.

a) we get the test statistic T_obs after calculation.

hence the p-value will be=P(F<T_obs )

b) we get the test statistic T_obs after calculation.

hence the p-value will be=P(F>T_obs )

c) we get the test statistic T_obs after calculation. We take its absolute value as |T_obs|

hence the p-value will be=2*P(F>|T_obs|)

These are the simplest ways to find p-values.

orchestra answered 1 year ago

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