**Title- ELEMENTARY INFERENCE (Code-09050405)**

**B.Sc. (Hons) 4**^{th} semester

^{th}semester

S.No. |
Topic |
Domain |
Hours as per UGC |

1 | Parameter and Statistic, Sampling distribution and standard error of estimate, Point and interval estimation, Unbiasedness, Efficiency, Consistency and Suffciency | Must know | 12 |

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 |
Must know | 15 |

3 | Testing and interval estimation of a single mean, Single proportion, Difference between two means, and two proportions, Fisher’s Z transformation | Must know | 15 |

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 | Must Know | 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.
- C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan

Chand & Sons, 2002.