Question

Please do not use this as an example: Suppose a company printed baseball cards. It claimed that 30% of its cards were rookies; 60% were veterans but not All-Stars; and 10% were veteran All-Stars.

When evaluating a chi-square test, describe the importance of the goodness of fit test. Provide an example and explain how the test is used to evaluate the data.

Answer 1

Chi-square (goodness of fit) is mainly used to check how well is our sample data is fitting to the population data. This is generally used when we wanted to fit our sample data in population data and compare them.

As in the above example, the company claims that the 30% of its cards were rookies ; 60% were veterans and 10% veterans were all stars and to check this expectation of the company we will use chi-square test (goodness of fit) that how much our expectation meets with our observation.

Now, lets take an another example of goodness of fit,

Suppose we have a karate dojo and we have noticed that students attendance are nearly full at Mondays, Tuesdays and saturdays. Whereas our dojo is not performing well in the case of money making.

So, to check that however our expectation is how much far from the what is actually observed value we will perform the goodness of fit.

After doing fitting you can find out how you can make you dojo more profitable.

NOTE- your dojo charge the students on the daily basis.

Generally, we fit the curve between the what is expected and what actually is observed this you can see also in the goodness of fit formula as well.