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