Title- ELEMENTARY INFERENCE (Code-09050405)
S.No. | Contents of the topics | Learning Objectives | Teaching Guidelines | Methodology | Time
(Hour) |
1 | · Parameter and statistic
· Sampling distribution and standard error of estimate · Point and interval estimation · Unbiasedness, Efficiency · Consistency and Suffciency |
Students will be able to understand Study of basics of statistics | Lecture should be effective so that student can grasp the topics easily | Assignments/ seminars/ Class tests/ Presentations | 10 |
2 | · Method of maximum likelihood estimation
· Null and alternative hypotheses · Simple and composite hypotheses · Critical region, Level of significanace · One tailed and two tailed tests · Types of errors · Neyman-Pearson Lemma |
Students will be able to understand Study of hypotheses and tests | Lecture should be effective so that student can grasp the topics easily | Assignments/ seminars/ Class tests/ Presentations | 15 |
3 | · Testing and interval estimation of a single mean,
· Single proportion · Difference between two means and two proportions · Fisher’s Z transformation |
Students will be able to understand Study of means and proportions | Lecture should be effective so that student can grasp the topics easily | Assignments/ seminars/ Class tests/ Presentations | 12 |
4 | · Definition of Chi-square statistic
· Chi-square tests for goodness of fit and independence of attributes · Definition of Student’s ‘t’ and Snedcor’s F-statistics · Testing for the mean and variance of univariate normal distributions · Testing of equality of two means and two variances of two univariate normal distributions, · Related confidence intervals · Analysis of variance(ANOVA) for one-way and two-way classified data |
Students will be able to understand Study of chi-square tests | Lecture should be effective so that student can grasp the topics easily | Assignments/ seminars/ Class tests/ Presentations | 12 |
Books Recommended:
- M. Mood, F.A. Graybill and D.C. Boes, Introduction to the theory of Statistics, McGraw Hill, 1974.
- M. Goon, M.K. Gupta, and B. Das Gupta, Fundamentals of Statistics, Vol-II.
- V. Hogg and A.T. Craig, Introduction to Mathematical Statistics.
- S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand & Sons,