Test your knowledge.Receive immediate feedback.You find all answers in the book. Quiz | Contingency Analysis /23 69 Quiz | Contingency Analysis 1 / 23 What does the Chi-Square test assess in contingency analysis? Linearity of variables Variance within groups Difference in means Association between categorical variables 2 / 23 Fill in the gap. “The Phi coefficient, contingency coefficient, Cramer’s V, Goodmann and Kruskal’s lambda and tau coefficient assess …” Check 3 / 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 Sum of the product of row and column totals divided by the grand total Difference between observed and expected values 4 / 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 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 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. 7 / 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 8 / 23 What kind of variables are typically involved in contingency analysis? Ratio variables Interval variables Continuous variables Categorical (nominal) variables 9 / 23 Which of the following is a step in the contingency analysis? Regression analysis Performing a T-test Interpretation of cross tables Calculating the mean difference 10 / 23 What does Goodman and Kruskal’s tau measure in the context of contingency analysis? The correlation coefficient between two variables The strength of association based on marginal probabilities The linear relationship between two variables The difference in means between two groups 11 / 23 Which method is an alternative to the chi-square test when sample sizes are small in contingency analysis? Pearson correlation Fisher’s Exact Test ANOVA T-test 12 / 23 Which statistic measures the strength of association in a contingency table? Beta coefficient Phi coefficient T-statistic F-statistic 13 / 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 calculating the range By the coefficient of determination (R²) Through the standard error 14 / 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 + Number of columns (Number of rows - 1) * (Number of columns - 1) (Number of rows + 1) * (Number of columns + 1) 15 / 23 What is tested by the chi-square test in contingency analysis? Equality of variances Mean differences between groups Normal distribution of data Independence of variables 16 / 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 visualize the correlation between variables To compare the means of different samples 17 / 23 In which case would you use a contingency analysis? To determine if there is a correlation between two metric variables To find the standard deviation of a sample To check the independence between two categorical variables To calculate the mean of a dataset 18 / 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 Variables must be continuous All cells must have observations 20% of the cells must have 5 or more observations 19 / 23 Which of the following scenarios is an example of using a contingency analysis? 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 Estimating the relationship between advertising and sales 20 / 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 21 / 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 22 / 23 What is the primary purpose of applying the Yates’ Correction in the Chi-squared test? To handle missing data To adjust for small sample sizes To correct for overdispersion To increase the power of the test 23 / 23 Which measure is not based on the chi-square statistic for assessing the strength of association? Goodman and Kruskal’s lambda Cramer's V Contingency coefficient Phi coefficient Your score is 0% Restart quiz Learn more…MethodsServiceAbout us ContactFeedbackOrder data etc. GeneralImprintPrivacy notice