For sample sizes that are very small, it is possible for the chi-square statistic to have value that is negative.
The chi-square distribution is a family of distributions, with a different curve for each possible value for the number of degrees of freedom.
The chi-square distribution is a discrete distribution,
The number of degrees of freedom in a chi-square test refers to the number of values free to vary once some information about all of the values is already known.
Chi-square analysis can be used in examining whether a sample could have come from a
In using chi-square for testing the independence of variables, the table of observed frequencies is constructed under the assumption that the null hypothesis is true.
In using chi-square for testing the independence of variables, larger calculated values for chi-square will tend to make it more likely that the null hypothesis will be rejected.
A contingency table for two nominal variables has three (3) row and four (4) columns. The number of degrees of freedom associated with the chi-square test of variable independence will be df= 6.
In carrying out chi-square analysis, if one or more of the observed frequencies is less than five (5), rows or columns should be combined so that each value of Oijis at least 5.
Multiple Choice
In a chi-square testing of the independence of two nominal-scale variables, the first variable has 4 different categories, and the second variable has 3 different categories. How many degrees of freedom will be associated with the test?
12
3
6
7
In testing the independence of two nominal variables, the critical; value of chi-square is 5.991 for the 0.05 level. If the test were at the 0.01 level, the critical value would be
Greater than 5.991
Less than 5.991
Equal to 5.991
Not enough information has been provided.
In examining whether a sample could have been drawn from a normal distribution, the appropriate chi-square test would be the
Test for independence
Test for goodness-of-fit
Test for equal proportion
Test for the population variance
Determine the X2 value for row 1 and column 2
0.14
1.55
1.24
0.35
Determine the expected frequency for row 1 and column 2
27.37
28.50
28.37
27.63
What is the null hypothesis for a chi-square test of association
There is difference between the populations
There is a relationship between the two variables
There is no difference between the populations
There is no relationship between the two variables
Chi square test are
One tail tests
Tests of proportions
Test of independence and goodness of fit
Two tail tests
The chi square distribution is
Symmetrical
Positively skewed
Negatively skewed
None of the above
Given a 4x7 contingency table, what are the degrees of freedom?
10
19
18
15