SYLLABUS- APPLIED STATISTICS,
Unit-I
Time series, its different components, illustrations, additive and multiplicative models,
determination of trend, growth curves, analysis of seasonal fluctuations, construction of
seasonal indices. Idea of Correlogram & periodogram.
Index number β its definition, application of index number, price relative and quantity or
volume relatives, link and chain relative, problem involved in computation of index
number, use of averages, simple aggregative and weighted average method. Laspeyreβs,
Paasheβs and Fisherβs index number, time and factor reversal tests of index numbers,
Unit-II
Educational Statistics: Scaling procedures β scaling of test items, test scores, rating of
qualitative answers and judgements. Test theory, linear models, parallel tests, true score,
reliability and validity of tests. Tetra-choric, bi-serial and point bi-serial correlation coefficients.
Unit-III
Demographic methods : Sources of demographic data β census, register, ad-hoc survey,
hospital records, demographic profiles of Indian Censuses. Measurement of mortality,
crude death rates, age specific death rates, infant mortality rates, death rate by cause.
Measurement of fertility β crude birth rate, general fertility rate, age-specific birth rate,
total fertility rate, gross reproduction rate, net reproduction rate, standardized death
rates, age pyramid of sex composition , other measures of fertility. Logistic curve fitting
and its use in population projection. Complete life table, its main features and
construction. Official Statistics CSO, NSSO and census organizations their set-up and functions.
Unit-IV
Control charts for variables and attributes, modified control charts, group control charts,
CUSUM charts, V mask. Sampling inspection by attributes β single and double sampling
plans. Producerβs and consumerβs risk, OC, ASN, ATI functions AOQL and LTPD of
sampling plans. Sampling inspection by variables β simple cases.