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