Exam 11: CHI-Squared Tests of Fit

When conducting a goodness-of-fit test on data with 7 groups, the critical value is 12.592.

A non-parametric test ______.

The χ² statistic examines ______.

The region of rejection in χ² is always in the left tail.

All χ² distributions are similar to the normal distribution.

When conducting a χ² test of independence with 8 groups in the first variable and 5 groups in the second variable, there are 28 degrees of freedom.

Because they do not rely upon means and standard deviations, non-parametric tests can often be conducted when the scale of measurement of the outcome variable is ______.

When  = .05 at 6 degrees of freedom, the critical χ² is ______.

If ²(3) = 8.1, then you should ______.

If ² = 4, n = 20, k₁ = 5 and k₂ = 7, what is the value of Cramer's V?

A goodness of fit test is used when we want to see how likely data is given a model of likely ______.

Non-parametric tests are used when we cannot make assumptions about parameters.

Which of these is a research question describing a test of independence?

When is a χ² test of independence used? Provide an example of significant interaction in a business context.

If ²(2) = +1.133, the null should be rejected.

In a goodness-of-fit test, when n = 30 and k = 3, what do we expect to occur in each cell?

χ² is calculated as the sum of all squared differences between observed and expected counts, divided by observed counts.

With a non-parametric test, we examine how particular data fit a particular model.

In a goodness of fit test, we test a model assuming that two variables are independent from one another.

You run a small business with three retail clothing outlets. At each outlet, you sell three types of products: budget items, mid-range, and high fashion. You have decided to investigate if sales of these types differ by store. To do this, you retrieved a list of sales at all three stores and created a dataset also recording which store sold which item. Conduct a test of independence to investigate this. The contingency table from your records appears below. West Outlet East Outlet South Outlet Total Budget 12 30 48 90 Mid-Range 48 26 21 95 High Fashion 26 35 24 85 Total 86 91 93 270 1) What is the research question? 2) What are the hypotheses? 3) What are the degrees of freedom? 4) What is the critical value for this test? 5) State the formal results of the test. 6) Should you compute a measure of the overall effect size? How do you know? If so, calculate this effect size. 7) State all appropriate conclusions.