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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:

  1. M. Mood, F.A. Graybill and D.C. Boes, Introduction to the theory of Statistics, McGraw Hill, 1974.
  2. M. Goon, M.K. Gupta, and B. Das Gupta, Fundamentals of Statistics, Vol-II.
  3. V. Hogg and A.T. Craig, Introduction to Mathematical Statistics.
  4. S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand & Sons,
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