Test your knowledge.Receive immediate feedback.You find all answers in the book. Quiz | Contingency Analysis /23 69 Quiz | Contingency Analysis 1 / 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 2 / 23 Which measure is not based on the chi-square statistic for assessing the strength of association? Goodman and Kruskal’s lambda Phi coefficient Cramer's V Contingency coefficient 3 / 23 In which case would you use a contingency analysis? 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 To calculate the mean of a dataset 4 / 23 What is the purpose of creating a cross table in contingency analysis? To analyze the relationship between two continuous variables To display the joint distribution of two categorical variables To compare the means of different samples To visualize the correlation between variables 5 / 23 What does a large deviation between the observed and expected number of observations of two variables indicate? The variables are probably independent. The variables are probably dependent. 6 / 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 7 / 23 What does the Chi-Square test assess in contingency analysis? Linearity of variables Association between categorical variables Variance within groups Difference in means 8 / 23 What would indicate a strong association in a contingency table analysis? Uniform distribution across the table Low chi-square value High residuals between observed and expected counts Zero degrees of freedom 9 / 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 10 / 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 11 / 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 12 / 23 Which of the following is a step in the contingency analysis? Performing a T-test Regression analysis Interpretation of cross tables Calculating the mean difference 13 / 23 In contingency analysis, what does a contingency coefficient closer to 1 indicate? Weak association between variables Strong association between variables The variables are independent No association between variables 14 / 23 Which method is an alternative to the chi-square test when sample sizes are small in contingency analysis? Fisher’s Exact Test ANOVA Pearson correlation T-test 15 / 23 Which statistic measures the strength of association in a contingency table? Beta coefficient F-statistic Phi coefficient T-statistic 16 / 23 Fill in the gap.“The Phi coefficient, contingency coefficient, Cramer’s V, Goodmann and Kruskal’s lambda and tau coefficient assess …” Check 17 / 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 linear relationship between two variables The strength of association based on marginal probabilities 18 / 23 What kind of variables are typically involved in contingency analysis? Ratio variables Interval variables Continuous variables Categorical (nominal) variables 19 / 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 20 / 23 How is the phi coefficient calculated in contingency analysis? Square root of Chi-square value divided by the sample size 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 21 / 23 How can the strength of the association in a contingency table be measured? Through the standard error By calculating the range Using measures like Cramer's V and the contingency coefficient By the coefficient of determination (R²) 22 / 23 What is the primary purpose of applying the Yates’ Correction in the Chi-squared test? To adjust for small sample sizes To correct for overdispersion To increase the power of the test To handle missing data 23 / 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. Your score is 0% Restart quiz Learn more…MethodsServiceAbout us ContactFeedbackOrder data etc. GeneralImprintPrivacy notice