The Chi-Square Tests Assessment Test

2.

The least expected value in each contingency table cell in order for a chi-square test to be effective is...

5
4
3
2

Correct Answer

A. 5

Explanation

For a chi-square test to be effective, the expected values in each contingency table cell should not be too small. A general guideline is that the expected value in each cell should be at least 5. This ensures that the assumptions of the chi-square test are met and that the test statistic follows the chi-square distribution. Having expected values less than 5 can lead to unreliable results and low statistical power. Therefore, the least expected value in each contingency table cell for a chi-square test to be effective is 5.

Rate this question:

1

3.

Contingency tables and degrees of freedom are key elements in chi-square test?

False
Maybe
True
None

Correct Answer

A. True

Explanation

Contingency tables and degrees of freedom are indeed key elements in the chi-square test. Contingency tables are used to organize and display the observed frequencies of two categorical variables, which are then compared to the expected frequencies to determine if there is a significant association between the variables. Degrees of freedom, on the other hand, represent the number of independent pieces of information that are available for estimating the unknown parameters in a statistical model. In the chi-square test, the degrees of freedom are calculated based on the number of categories in the variables being analyzed. Therefore, both contingency tables and degrees of freedom play important roles in conducting and interpreting the chi-square test.

Rate this question:

1

4.

What is another name for the chi-square goodness fit test?

Directional chi-square
One sample chi-square
Chi-square Anova
Two sample chi-square

Correct Answer

A. One sample chi-square

Explanation

The chi-square goodness fit test is also known as the one sample chi-square test. This test is used to determine whether there is a significant difference between the observed and expected frequencies in a categorical variable. It compares the observed frequencies with the expected frequencies and calculates a chi-square statistic. By comparing this statistic to a critical value, we can determine whether the observed frequencies deviate significantly from the expected frequencies.

Rate this question:

5.

What type of data do you use for a chi-square table?

Ratios
Scales
Ordinal
Categorical

Correct Answer

A. Categorical

Explanation

Chi-square tests are used to analyze categorical data, which consists of non-numerical variables that can be divided into categories or groups. Examples of categorical data include gender, race, and occupation. The chi-square table is a statistical tool that provides critical values for the chi-square test statistic, which is used to determine the significance of the relationship between two categorical variables. Therefore, the correct answer is "Categorical" as it accurately describes the type of data used for a chi-square table.

Rate this question:

6.

How many cases must appear in one category of a chi-square test?

4
6
5
7

Correct Answer

A. 5

Explanation

In a chi-square test, the number of cases that must appear in one category depends on the specific requirements of the test and the research question being investigated. However, there is no specific rule stating that a certain number of cases must appear in one category. The number of cases in each category should be determined based on the sample size, the expected frequencies, and the statistical power desired for the test. Therefore, the answer "5" is incorrect and the question may be incomplete or not readable.

Rate this question:

7.

What is an effective size?

The magnitude of the relationship between variables
The likelihood of type 1 and type 2 errors
The number of expected cases
The variance explained by the measures

Correct Answer

A. The magnitude of the relationship between variables

Explanation

An effective size refers to the magnitude of the relationship between variables. It measures the strength or intensity of the relationship between two or more variables. It indicates how much one variable is influenced or affected by another variable. A larger effective size indicates a stronger relationship between the variables, while a smaller effective size suggests a weaker relationship. Therefore, the effective size is a crucial measure in determining the strength and significance of the relationship between variables.

Rate this question:

8.

How can low expected values be dealt with?

Add more of the same number
Increase the sample size or combine categories
Exclude outliers
None of these

Correct Answer

A. Increase the sample size or combine categories

Explanation

To deal with low expected values, increasing the sample size or combining categories can be effective. Increasing the sample size provides more data points, which can lead to more accurate and reliable results. Combining categories can help to increase the frequency of occurrence, making the expected values more meaningful. This approach allows for a better representation of the data and helps to reduce the impact of outliers, which may skew the results. Adding more of the same number or excluding outliers may not necessarily address the issue of low expected values.

Rate this question:

9.

By which other name is a chi-square contingency table analysis known?

Chi-square test for independence
Chi-square test for dependence
Chi-square variable test
None of the above

Correct Answer

A. Chi-square test for independence

Explanation

A chi-square contingency table analysis is also known as a Chi-square test for independence. This test is used to determine if there is a significant association between two categorical variables. It compares the observed frequencies in each category of the variables with the expected frequencies under the assumption of independence. If the test statistic is significant, it indicates that there is a relationship between the variables. Therefore, the correct answer is Chi-square test for independence.

Rate this question:

10.

Which of these symbols is used to represent a chi-square test?

C
Q
T
X2

Correct Answer

A. X2

Explanation

The symbol "X2" is used to represent a chi-square test. Chi-square tests are statistical tests that are used to determine if there is a significant association between two categorical variables. The "X2" symbol is derived from the Greek letter "chi" (χ) and represents the chi-square statistic, which is calculated by comparing the observed and expected frequencies in a contingency table. By comparing the calculated chi-square statistic to a critical value from the chi-square distribution, one can determine if the observed frequencies significantly differ from the expected frequencies.

Rate this question:

The Chi-square Tests Assessment Test

What is the null hypothesis in chi-square test?

Quiz Preview

The least expected value in each contingency table cell in order for a chi-square test to be effective is...

Contingency tables and degrees of freedom are key elements in chi-square test?

What is another name for the chi-square goodness fit test?

What type of data do you use for a chi-square table?

How many cases must appear in one category of a chi-square test?

What is an effective size?

How can low expected values be dealt with?

By which other name is a chi-square contingency table analysis known?

Which of these symbols is used to represent a chi-square test?