Test your knowledge.Receive immediate feedback.You find all answers in the book. Quiz | Discriminant Analysis /26 11 Quiz | Discriminant Analysis 1 / 26 What does a small value of Wilks' lambda indicate in the context of discriminant analysis? Low variance among groups Poor fit of the model Strong discriminatory power of the function High correlation between groups 2 / 26 How many groups are considered if referred to as "multi-group discriminant analysis"? One group Three or more groups Two groups Not specified 3 / 26 We observe 43 respondents, whereas five are misclassified. What is the hit rate of the correctly specified group assignments? 88% 83% 80% 4 / 26 What is a 'grouping variable' in discriminant analysis? A variable that identifies a metric attribute A continuous variable A dependent metric variable A variable that reflects the group an observation belongs to 5 / 26 What does the Box's M test check for in discriminant analysis? Accuracy of classification Independence of variables Normality of the data Equality of within-group variance-covariance matrices 6 / 26 In discriminant analysis, what are the independent variables usually required to be? Nominally scaled None of the above Metrically scaled Ordinally scaled 7 / 26 What is a use of discriminant analysis in business? To measure employee satisfaction To forecast economic trends To classify companies into performance categories To calculate the profitability of investment options 8 / 26 What is NOT a step in the discriminant analysis procedure? Collecting qualitative data Estimating discriminant functions Classification of new observations Testing the describing variables 9 / 26 In discriminant analysis, how is the significance of discriminant functions usually tested? ANOVA Chi-square tests T-tests Regression analysis 10 / 26 Which discriminant analysis method is suitable when assumptions of equal covariance matrices are not met? Linear discriminant analysis Regular discriminant analysis Quadratic discriminant analysis Canonical discriminant analysis 11 / 26 Which of the following is a common assumption in discriminant analysis? Groups have equal sample sizes Variables are independent of each other Independent Variables are normally distributed The dependent variable is continuous 12 / 26 What does an increasing value of Wilk’s Lambda indicate? An increasing value of Wilk’s Lambda has no indication for the separation of the groups. An increasing value of Wilk’s Lambda indicates a worse separation of the groups. An increasing value of Wilk’s Lambda indicates a better separation of the groups. 13 / 26 What is Wilks' lambda used for in discriminant analysis? To assess the multicollinearity among predictors To calculate the eigenvalues for each discriminant function To measure the proportion of variance explained by the discriminants To determine the overall significance of the discriminants 14 / 26 “The number of describing variables should be … than the number of groups.” larger smaller the same 15 / 26 How are variables entered into a model in stepwise discriminant analysis? Based on their correlation with the dependent variable In order of their ability to reduce overall Wilks' lambda Randomly until all variables are used Simultaneously 16 / 26 What is a significant criterion for evaluating the quality of a discriminant function in discriminant analysis? The maximum value of the discriminant criterion, also known as eigenvalue The discriminant function must correctly classify all observations The minimum value of the discriminant criterion, also known as eigenvalue The discriminant coefficients must all be positive 17 / 26 How is the effectiveness of a discriminant function assessed? By the number of groups in the analysis By comparing the observed group memberships with those predicted by the function By determining the linear relationships between all variables By the range of the independent variables 18 / 26 What statistical test is used if we want to know whether two groups differ significantly concerning one variable? ANOVA Independent samples t-test Chi-square test Pearson correlation 19 / 26 What is one method that is used in discriminant analysis to identify variables that best separate groups? Cluster analysis Linear regression Principal component analysis Stepwise estimation procedure 20 / 26 In discriminant analysis, what represents the group an observation belongs to? Grouping variable Categorical variable Metric variable Dependent variable 21 / 26 What role do eigenvalues play in discriminant analysis? They represent the variance of each group They indicate the maximum value of the discriminant criterion They determine the weight of each variable They are used to compute Wilks' lambda 22 / 26 In the context of discriminant analysis, what represents the centroid of a group? The variable with the least variance within the group The mean value for the discriminant variable of the group The most central variable in the analysis The median of all cases in a group 23 / 26 “The larger SSb and the … SSw, the larger the value for the discriminant criterion, and the better are the groups separated.” smaller larger 24 / 26 When using discriminant analysis, what is assumed about the relationship between the independent and dependent variables? It is logarithmic It is nonlinear It is linear It is exponential 25 / 26 Which coefficient does not affect the discriminant criterion? constant term b0 discriminant coefficients b 26 / 26 What is the primary purpose of discriminant analysis? To predict continuous outcomes To classify categorical independent variables To identify independent variables To establish a relationship between a single categorical dependent variable and several metric independent variables Your score is 0% Restart quiz Learn more…MethodsServiceAbout us ContactFeedbackOrder data etc. GeneralImprintPrivacy notice
