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