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