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