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