Chapter 11-Chi Square TEsts

Question 1

When can chi tests be used?

Answer 1

Used in research designs with up to 2 nominal variables each with at least 2 categories or levels

Question 2

What does Chi-square Goodness of Fit Test determine?

Answer 2

How well the observed frequency of the sample data fits the expected frequency of the population data

Question 3

What does the chi-square goodness of fit test involve?

Answer 3

One categorical variable (nominal scale of measurement) with at least two categories

Question 4

Two Types of Chi-square goodness of fit test

Answer 4

1) No preference, equal proportions expected across categories
2) No difference from hypothesized proportions (involves percentages)

Question 5

Non-parametrical test

Answer 5

Statistical procedures that do not rely on assumptions about the population

Question 6

Parametric Test

Answer 6

Make assumptions about population parameters (e.g., normality)

Question 7

Expected Frequncies

Answer 7

The frequency counts/proportions of responses that we would expect to obtain if the null hypothesis were true

Question 8

What type of distribution is a typical chi square test?

Answer 8

Positively Skewed

Question 9

Why is chi-distribution positively skewed?

Answer 9

1) All chi-squared values are zero or larger.
2) chi-square values to be small when H0 is true.

Question 10

Chi-square Test for Independence

Answer 10

Uses frequency data from a sample to evaluate the relationship between two categorical variables with at least two categories/levels

Question 11

Chi-square Test for Independence Two Hypothesis:

Answer 11

1) There is no relationship between variable 1 and 2
2) In the general population the distribution for variable 1 is the same as the distribution for variable 2