Question

Discuss how the concept of statistical independence underlies statistical hypothesis testing in general. Based on statistical analysis, are we justified in asserting that two variables are statistically dependent? Why or why not? Explain why researchers typically focus on statistical independence rather than statistical dependence.

Answer 1

Question:

To Discuss how the concept of statistical independence underlies statistical hypothesis testing in general. Based on statistical analysis, are we justified in asserting that two variables are statistically dependent? Why or why not? Explain why researchers typically focus on statistical independence rather than statistical dependence.

Answer:

In general , we look at least two unique factors therefore the idea of statistical independence underlies in statistical hypothesis testing.

Two factors are statistically dependent if the estimations of these two factors are taken on a similar unit. For example, the heaviness of guys estimated in summer and the heaviness of same guys estimated in winter and a hypothesis test is run  to check whether there exists a distinction between the loads in winter and summer , we know that here the guys are same for the two seasons therefore  the example loads should  be needy.

Scientists regularly focus on statistical independence rather than statistical dependence since most of the times the information for independent samples are analyzed and gathered,statistical dependence which  is possibly utilized when we repeat the estimations.