Syllabus
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Course Code: DSCS-418 Course Name: Parametric and Nonparametric Tests |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Chi-square distribution: Definition, derivation, moment generating function, cumulant generating function, mean, mode, skewness, additive property, conditions for the validity, chi-square test for goodness of fit. Contingency table, coefficient of contingency, test of independence of attributes in a contingency table. | |
| 2 | Student’s ‘t’ and Snedecor's 'F' statistics: Definition and derivation of Student’s ‘t’, constants of t-distribution, limiting form of t-distribution. Definition & derivation of Snedcor’s F-distribution, constants of F-distribution, mode of F-distribution. Relationship between t, f and chi-square distribution. | |
| 3 | Testing for the mean and variance of univariate normal distribution, testing o f equality of two means and testing of equality of two variances of two univariate normal distributions. Testing for the significance of sample correlation coefficient and regression coefficient in sampling from bivariate norma l distribution. | |
| 4 | Nonparametric Tests: Concept of non-parametric tests, advantages of nonparameteric test over parametric test, Definition of order statistics. Sign test for univariate and bivariate distribution, run test, median test, KolmogorovSmirnov one sample test, Kolmogorov-Smirnov two sample test, Mann Whitney U-test (only applications without derivation). | |
