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