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