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 NOT a step in the discriminant analysis procedure? Collecting qualitative data Classification of new observations Estimating discriminant functions Testing the describing variables 2 / 26 How are variables entered into a model in stepwise discriminant analysis? Randomly until all variables are used In order of their ability to reduce overall Wilks' lambda Based on their correlation with the dependent variable Simultaneously 3 / 26 What is a significant criterion for evaluating the quality of a discriminant function in discriminant analysis? The discriminant coefficients must all be positive The minimum value of the discriminant criterion, also known as eigenvalue The discriminant function must correctly classify all observations The maximum value of the discriminant criterion, also known as eigenvalue 4 / 26 What is the primary purpose of discriminant analysis? To identify independent variables To predict continuous outcomes To establish a relationship between a single categorical dependent variable and several metric independent variables To classify categorical independent variables 5 / 26 What is a 'grouping variable' in discriminant analysis? A variable that identifies a metric attribute A continuous variable A variable that reflects the group an observation belongs to A dependent metric variable 6 / 26 What does the Box's M test check for in discriminant analysis? Equality of within-group variance-covariance matrices Independence of variables Accuracy of classification Normality of the data 7 / 26 “The larger SSb and the … SSw, the larger the value for the discriminant criterion, and the better are the groups separated.” smaller larger 8 / 26 What is one method that is used in discriminant analysis to identify variables that best separate groups? Principal component analysis Cluster analysis Linear regression Stepwise estimation procedure 9 / 26 What role do eigenvalues play in discriminant analysis? They are used to compute Wilks' lambda They determine the weight of each variable They indicate the maximum value of the discriminant criterion They represent the variance of each group 10 / 26 What is a use of discriminant analysis in business? To measure employee satisfaction To calculate the profitability of investment options To forecast economic trends To classify companies into performance categories 11 / 26 In discriminant analysis, what are the independent variables usually required to be? Metrically scaled None of the above Ordinally scaled Nominally scaled 12 / 26 Which of the following is a common assumption in discriminant analysis? Independent Variables are normally distributed Groups have equal sample sizes The dependent variable is continuous Variables are independent of each other 13 / 26 “The number of describing variables should be … than the number of groups.” the same larger smaller 14 / 26 How many groups are considered if referred to as "multi-group discriminant analysis"? Not specified Three or more groups One group Two groups 15 / 26 What statistical test is used if we want to know whether two groups differ significantly concerning one variable? Independent samples t-test Chi-square test Pearson correlation ANOVA 16 / 26 What does a small value of Wilks' lambda indicate in the context of discriminant analysis? Strong discriminatory power of the function High correlation between groups Poor fit of the model Low variance among groups 17 / 26 We observe 43 respondents, whereas five are misclassified. What is the hit rate of the correctly specified group assignments? 83% 88% 80% 18 / 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 variable with the least variance within the group The median of all cases in a group The most central variable in the analysis 19 / 26 How is the effectiveness of a discriminant function assessed? By the range of the independent variables 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 20 / 26 In discriminant analysis, what represents the group an observation belongs to? Metric variable Grouping variable Dependent variable Categorical variable 21 / 26 When using discriminant analysis, what is assumed about the relationship between the independent and dependent variables? It is nonlinear It is logarithmic It is linear It is exponential 22 / 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. 23 / 26 Which coefficient does not affect the discriminant criterion? discriminant coefficients b constant term b0 24 / 26 What is Wilks' lambda used for in discriminant analysis? To calculate the eigenvalues for each discriminant function To determine the overall significance of the discriminants To measure the proportion of variance explained by the discriminants To assess the multicollinearity among predictors 25 / 26 In discriminant analysis, how is the significance of discriminant functions usually tested? T-tests ANOVA Regression analysis Chi-square tests 26 / 26 Which discriminant analysis method is suitable when assumptions of equal covariance matrices are not met? Canonical discriminant analysis Regular discriminant analysis Linear discriminant analysis Quadratic discriminant analysis Your score is 0% Restart quiz Learn more…MethodsServiceAbout us ContactFeedbackOrder data etc. GeneralImprintPrivacy notice
