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