Chi Square Goodness Of Fit Example Problems. Now that we have our chi-square statistic we need to compare it to the chi-square critical value for 005 with one degree of freedom since we have two categories. The buyer counts the number of t-shirts of each size that are sold in a week. χ 2 O b s e r v e d E x p e c t e d 2 E x p e c t e d. We can test whether or not the distribution is uniform the expected counts of each variable are equal or we can specify a customized distribution.
Using thetablewe find the critical value to be 384. Spades 404 Hearts 420 Diamonds 400 Clubs 376 Could it be that the suits are equally likely. Now that we have our chi-square statistic we need to compare it to the chi-square critical value for 005 with one degree of freedom since we have two categories. Note that both of these tests are only. In this example the null hypothesis is that soil type has no influence on the distribution of pines. The subset is based on the variable attitude toward life life.
Example The MINITAB data file GRADESMTW contains data on verbal and mathematical SAT scores and grade point average for 200 college students.
Goodness of Fit Chi-Square Recall that a goodness of fit test requires one nominal or ordinal level variable. Compute the test statistic. This problem analyzes the variable marital status marital for a subset of the cases in. Brown yellow orange green and coffee. Test Statistic for Testing Goodness of Fit to a Discrete Probability Distribution chi 2 sum fracO-E2E where the sum is over all the rows of the table one for each value of X. A shop owner claims that an equal number of customers come into his shop each weekday.