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