What is the difference between chi-square goodness-of-fit test and chi-square test of independence? Give your?

Answer 1

Chi square goodness of fit will tell you if your results came from a normal distribution or not. A typical normal distribution is like the "bell curve". For instance, if we asked 1000 people about their dining preferences, and all those people were rich, old, and lived in mansions, the goodness of fit test on the overall population would show that this is not normally distributed.

The test of independence will tell you how dependent one thing is on another. For instance, "Children with two parents attend school more often than those with one parent." Maybe children attending school has nothing to do with parents. In this case, the variables would be shown to be independent. But if going to school depended entirely on what sort of parents were there, this too would be revealed.

(Assuming proper sampling conditions)

Regards,

Mysstere

Answer 2

A chi-sq. attempt is any statistical hypothesis attempt wherein the attempt statistic has a chi-sq. distribution whilst the null hypothesis is genuine, or any wherein the possibility distribution of the attempt statistic (assuming the null hypothesis is genuine) could be made to approximate a chi-sq. distribution as heavily as needed by potential of making the pattern length sufficiently great. particularly, a chi-sq. attempt for independence evaluates statistically considerable adjustments between proportions for 2 or extra communities in a expertise set. an eye-catching function of the chi-sq. goodness-of-extra healthful attempt is that it rather is utilized to any univariate distribution for which you will calculate the cumulative distribution functionality. The chi-sq. goodness-of-extra healthful attempt is utilized to binned archives (i.e., archives placed into classes). it rather is surely not a restrict considering the fact that for non-binned archives you are able to in simple terms calculate a histogram or frequency table earlier producing the chi-sq. attempt. even nonetheless, the cost of the chi-sq. attempt statistic are based on how the archives is binned. yet another draw back of the chi-sq. attempt is that it demands a sufficient pattern length to ensure that the chi-sq. approximation to be valid