Question 1

The following are terms not associated with chi-square goodness-of-fit, except:&#10;A) Factor.&#10;B) Independent-sample Fit line.&#10;C) Test variable.&#10;D) Control group.

Accepted Answer

The term "Test variable" is associated with chi-square goodness-of-fit tests, as it refers to the variable being tested for its distribution's fit to a theoretical distribution.

Question 2

SPSS Statistics displays the following outputs for a chi-square goodness-of-fit:&#10;A) Candidate.&#10;B) One-Sample Statistics.&#10;C) Test Statistics.&#10;D) Both A and C.

Accepted Answer

A chi-square goodness-of-fit test compares an observed frequency distribution to an expected frequency distribution. The expected distribution is often a theoretical or known distribution, and the observed distribution is based on sample data. SPSS Statistics displays the expected and observed frequencies, as well as the test statistics, in the Test Statistics output. The Candidate output is not relevant to this type of analysis, so the correct answer is D, as it includes the relevant outputs for a chi-square goodness-of-fit test: A (expected frequencies) and C (test statistics).

Question 3

Use the following statistical result to determine if the chi-square goodness-of-fit calculated a statistically significant difference:&#10;A) ANOVA Sig.&#10;B) Levene's Test&#10;C) Asymp. Sig.&#10;D) One-Sample Test Significance

Accepted Answer

The Asymp. Sig. value is the most appropriate statistical result for determining if the chi-square goodness-of-fit calculated a statistically significant difference. This value represents the probability that the observed distribution of data could have occurred by chance alone, assuming the null hypothesis is true. A significant value (typically p<0.05) suggests that there is a statistically significant difference between the observed and expected distributions, and thus the null hypothesis can be rejected.

Question 4

Use the following SPSS Statistics tool to calculate statistical significance for chi-square goodness-of-fit:&#10;A) Descriptives&#8230;&#10;B) Compare Means&#8230;&#10;C) Legacy Dialog&#8230;&#10;D) Chart Editor&#8230;

Accepted Answer

The Legacy Dialog has the option to run the Chi-Square goodness-of-fit test under the Nonparametric Tests submenu. It is the appropriate tool for this analysis. The Descriptives tool calculates summary statistics, Compare Means compares means between groups, and Chart Editor creates graphs and charts.

Question 5

In SPSS Statistics, the variable in a chi-square goodness-of-fit is known as:&#10;A) Outcome Variable.&#10;B) Test Variable.&#10;C) Factor Variable.&#10;D) Control Variable.

Accepted Answer

In a chi-square goodness-of-fit, the variable being tested is known as the Test Variable, as it is the variable being analyzed to determine if it fits a particular distribution or pattern. The other answer choices (Outcome Variable, Factor Variable, Control Variable) are not specifically applicable to a chi-square goodness-of-fit analysis.

Question 6

A chi-square goodness-of-fit test requires two or more variables at the nominal level.

Accepted Answer

A chi-square goodness-of-fit test is used to determine whether there is a significant difference between the expected frequencies and the observed frequencies in one or more categories of a single categorical variable, not between two or more variables.

Question 7

A chi-square goodness-of-fit test is used with data at the scale level.

Accepted Answer

A chi-square goodness-of-fit test is used with categorical data, not scale (or continuous) data, to compare observed frequencies to expected frequencies.

Question 8

A chi-square goodness-of-fit requires a grouping variable.

Accepted Answer

The answer of A chi-square goodness-of-fit requires a grouping variable....

Question 9

In research reports, you need to report the degrees of freedom for the chi-square goodness-of-fit sample.

Accepted Answer

This is true. Degrees of freedom are necessary to properly interpret the results of a chi-square goodness-of-fit test.

Question 10

The variable in chi-square goodness-of-fit is labeled as &#34;Test Variable.&#34;

Accepted Answer

This statement is true. The variable being tested in a chi-square goodness-of-fit test is labeled as the "Test Variable."

Deck 16: Chi-Square Goodness-Of-Fit Test