Test your knowledge.Receive immediate feedback.You find all answers in the book. Quiz | Contingency Analysis /23 69 Quiz | Contingency Analysis 1 / 23 What does the Chi-Square test assess in contingency analysis? Association between categorical variables Linearity of variables Difference in means Variance within groups 2 / 23 What would indicate a strong association in a contingency table analysis? Zero degrees of freedom Uniform distribution across the table Low chi-square value High residuals between observed and expected counts 3 / 23 Fill in the gap. “The Phi coefficient, contingency coefficient, Cramer’s V, Goodmann and Kruskal’s lambda and tau coefficient assess …” Check 4 / 23 In contingency analysis, what does a contingency coefficient closer to 1 indicate? No association between variables Weak association between variables Strong association between variables The variables are independent 5 / 23 Which measure is used to assess the strength of association between variables in a contingency table? Cramer's V Chi-square statistic Standard deviation Mean squared error 6 / 23 Cramer’s V reaches the value 1, if ... a variable is completely determined by the other variable. a variable is partly determined by the other variable. 7 / 23 How can the strength of the association in a contingency table be measured? Through the standard error By the coefficient of determination (R²) By calculating the range Using measures like Cramer's V and the contingency coefficient 8 / 23 How are degrees of freedom calculated in a chi-square test for a contingency table? (Number of rows - 1) * (Number of columns - 1) (Number of rows + 1) * (Number of columns + 1) Number of rows * Number of columns Number of rows + Number of columns 9 / 23 What does a significant chi-square test indicate in the context of contingency analysis? The variables are dependent on each other The variables have equal variances The variables are independent of each other The variables are normally distributed 10 / 23 What is the purpose of creating a cross table in contingency analysis? To visualize the correlation between variables To analyze the relationship between two continuous variables To display the joint distribution of two categorical variables To compare the means of different samples 11 / 23 Which of the following scenarios is an example of using a contingency analysis? Calculating the variance of income across different cities Comparing the average heights of men and women Determining if there is an association between diet type and gender Estimating the relationship between advertising and sales 12 / 23 What is tested by the chi-square test in contingency analysis? Normal distribution of data Mean differences between groups Independence of variables Equality of variances 13 / 23 Which method is an alternative to the chi-square test when sample sizes are small in contingency analysis? T-test Pearson correlation Fisher’s Exact Test ANOVA 14 / 23 Which statistic measures the strength of association in a contingency table? Phi coefficient Beta coefficient T-statistic F-statistic 15 / 23 How is the phi coefficient calculated in contingency analysis? Difference between observed and expected values Sum of the product of row and column totals divided by the grand total Square root of Chi-square value divided by the sample size Logarithm of the p-value 16 / 23 What is a critical assumption for the validity of the chi-square test in contingency tables? Variables must be continuous All cells must have observations 20% of the cells must have 5 or more observations No cell should have an observed count less than 5 17 / 23 Which measure is not based on the chi-square statistic for assessing the strength of association? Cramer's V Contingency coefficient Goodman and Kruskal’s lambda Phi coefficient 18 / 23 Which of the following is a step in the contingency analysis? Interpretation of cross tables Regression analysis Performing a T-test Calculating the mean difference 19 / 23 What does a large deviation between the observed and expected number of observations of two variables indicate? The variables are probably independent. The variables are probably dependent. 20 / 23 What kind of variables are typically involved in contingency analysis? Interval variables Ratio variables Categorical (nominal) variables Continuous variables 21 / 23 In which case would you use a contingency analysis? To check the independence between two categorical variables To find the standard deviation of a sample To calculate the mean of a dataset To determine if there is a correlation between two metric variables 22 / 23 What is the primary purpose of applying the Yates’ Correction in the Chi-squared test? To correct for overdispersion To increase the power of the test To adjust for small sample sizes To handle missing data 23 / 23 What does Goodman and Kruskal’s tau measure in the context of contingency analysis? The correlation coefficient between two variables The difference in means between two groups The linear relationship between two variables The strength of association based on marginal probabilities Your score is 0% Restart quiz Learn more…MethodsServiceAbout us ContactFeedbackOrder data etc. GeneralImprintPrivacy notice