225 intext questions 1 what do you mean by

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22.5. INTEXT QUESTIONS 1) What do you mean by discriminant function? Illustrate the same with an example. 2) Explain how you would test whether a constructed discriminant function can discriminate between two populations. 3) What is discriminant analysis? Mention its uses. 4) Explain the use of linear discriminant function for classifying an observation of an unknown population into one of two populations with known parameters. 5) Explain the procedure of test of discriminant function. 22.6. SUMMARY Discriminant analysis is a statistical technique for classifying individuals or objects into mutually exclusive and exhaustive groups on the basis of a set of independent variables. It involves deriving linear combinations of the independent variables that will discriminate between the priori defined groups in such a way that the misclassification error rates are minimized. Discriminant analysis can be the thought of in terms of a rather simple “scoring system” that assigns to each individual or objects in the sample a score that is essentially a weighted average of the individual or objects values on the set of independent variables. Once a score is determined it can be determined, it can be transformed into on a posterior probability that gives the likelihood of the individuals or object belonging to each of the groups. 22.7. TERMINAL EXERCISES 1) Provide the essentials of discriminant analysis. 2) What is Fisher’s discriminant function? 3) State the uses of Fisher Discriminant function. 4) Define discriminant function. With uses 5) Define discriminant score used for classification. 22.8. SUPPLEMENTARY MATERIALS 1) https://en.wikipedia.org/wiki/Discriminant_function_analysis 2) https://onlinecourses.science.psu.edu/stat505/
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232 3) https://en.wikipedia.org/wiki/Multivariate_analysis_of_variance 4) https://onlinecourses.science.psu.edu/stat505/node/159 5) http://www.statistics4u.info/fundstat_eng/cc_lda_intro.html 6) http://www.statmethods.net/advstats/discriminant.html 7) http://www.tandfonline.com/doi/full/10.1080/17439884.2016.1182927 8) https://statistics.laerd.com/spss-tutorials/one-way-manova-using-spss- statistics.php 22.9. ASSIGNMENTS 1) Develop a research problem that requires the use of discriminant analysis. Use ‘entered college’ ‘did not enter college’ as dependent variables. What are the basic functions of discriminant analysis? 2) Suppose a department of psychology in a university has developed a prediction equation that has been useful in distinguishing successful doctoral students from unsuccessful ones. What is the danger in using the equation for future group of students? Should the discriminant analysis be used for such study. 3) How many discriminant function would you obtain in a four group discriminant analysis and why? 4) Explain the difference between two group discriminant analysis and multiple discriminant analysis.
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