Question

What is the difference between a Matched Pairs hypothesis test and the Goodness of Fit hypothesis test. How do we know when to use the correct test?

Answer 1

Answer:

Difference between a Matched Pairs hypothesis test and the Goodness of Fit hypothesis test:

Matched Pairs hypothesis test:

The t-test gives a sign of how separate two arrangements of estimations are, enabling you to decide if something has changed and there are two appropriations, or whether there is viably just a single disribution.

The Matched pair t-test (or combined t-test or matched examples t-test or ward t-test) is utilized when the information from the two gatherings can be displayed in sets, for instance where similar individuals are being estimated in when examination or when the gathering is given two unique tests at various occasions (eg. agreeableness of two distinct sorts of chocolate).

The matched-pairs t-test can be used with small or large samples.

Goodness of Fit hypothesis test:

This can likewise be utilized when you have one measure and are coordinating against a specific recurrence conveyance, for which you can decide 'should' measures. The two most basic distributions to test for are normal  (chime formed) and level.

In a level circulation, all things are similarly likely. The t-test can be utilized here to find whether any at least one of a lot of measures is essentially not quite the same as the others.

This utilization of the chi-square test is regularly known as the 'Goodness of Fit' test.