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 Standard deviation Cramer's V Mean squared error 2 / 23 What is tested by the chi-square test in contingency analysis? Equality of variances Normal distribution of data Independence of variables Mean differences between groups 3 / 23 What is the purpose of creating a cross table in contingency analysis? To compare the means of different samples To display the joint distribution of two categorical variables To visualize the correlation between variables To analyze the relationship between two continuous variables 4 / 23 Which of the following scenarios is an example of using a contingency analysis? Comparing the average heights of men and women 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 5 / 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. 6 / 23 How can the strength of the association in a contingency table be measured? By calculating the range Through the standard error By the coefficient of determination (R²) Using measures like Cramer's V and the contingency coefficient 7 / 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 strength of association based on marginal probabilities The linear relationship between two variables 8 / 23 In which case would you use a contingency analysis? To calculate the mean of a dataset To find the standard deviation of a sample To determine if there is a correlation between two metric variables To check the independence between two categorical variables 9 / 23 What is a critical assumption for the validity of the chi-square test in contingency tables? No cell should have an observed count less than 5 20% of the cells must have 5 or more observations All cells must have observations Variables must be continuous 10 / 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. 11 / 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 increase the power of the test To adjust for small sample sizes 12 / 23 Which measure is not based on the chi-square statistic for assessing the strength of association? Phi coefficient Contingency coefficient Cramer's V Goodman and Kruskal’s lambda 13 / 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 14 / 23 Which method is an alternative to the chi-square test when sample sizes are small in contingency analysis? T-test Fisher’s Exact Test Pearson correlation ANOVA 15 / 23 What does the Chi-Square test assess in contingency analysis? Difference in means Variance within groups Association between categorical variables Linearity of variables 16 / 23 Which of the following is a step in the contingency analysis? Calculating the mean difference Performing a T-test Regression analysis Interpretation of cross tables 17 / 23 Which statistic measures the strength of association in a contingency table? T-statistic F-statistic Phi coefficient Beta coefficient 18 / 23 What kind of variables are typically involved in contingency analysis? Continuous variables Categorical (nominal) variables Ratio variables Interval variables 19 / 23 How is the phi coefficient calculated in contingency analysis? Logarithm of the p-value 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 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 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 22 / 23 What does a significant chi-square test indicate in the context of contingency analysis? The variables have equal variances The variables are dependent on each other The variables are normally distributed The variables are independent of each other 23 / 23 In contingency analysis, what does a contingency coefficient closer to 1 indicate? Strong association between variables No association between variables The variables are independent Weak association between variables Your score is 0% Restart quiz Learn more…MethodsServiceAbout us ContactFeedbackOrder data etc. GeneralImprintPrivacy notice