Syllabus
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Course Code: DSCS-318 Course Name: Elementary Inference |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Statistical Estimation: Parameter and statistic, Basic concept of sampling distribution. Point and interval estimate of a parameter, concept of bias and standard error of an estimate. Standard errors of sample mean, sample proportion, standard deviation, Properties of a good estimator: Unbiasedness, Efficiency, Consistency and Sufficiency (definition and illustrations). | |
| 2 | Methods of Estimation: Method of moments, method of maximum likelihood and its properties (without proof). Estimation of parameters of Binomial, Poisson and Normal distributions | |
| 3 | Testing of Hypotheses: Statistical Hypothesis:- Simple and composite, test of statistical hypothesis, Null and alternative hypotheses, critical region, types o f errors, level of significance, power of a test, one tailed and two tailed testing, p-value, BCR, most powerful test, Neyman-Pearson Lemma, Test of simple hypothesis against a simple alternative in case of Binomia and Normal distributions. | |
| 4 | Large Sample Tests: Testing of a single mean, single proportion, difference of two means, two standard deviations and two proportions. Fisher’s Z transformation. Determination of confidence interval for mean, variance and proportion. | |
