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