Applied Statistics

Paper II : 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 – 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. Laspeyre’s, Paashe’s and
Fisher’s index number, time and factor reversal tests of index numbers, consumer price index

UNIT – II

Educational Statistics: Scaling procedures – 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 – 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 – 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. Graduation of mortality rates by Gompertz and
Makeham formulae, logistic curve fitting and its use in population projection. Complete life
table, its main features and construction.

UNIT – IV

Control charts for variables and attributes, modified control charts, group control charts,
CUSUM charts, V mask. Sampling inspection by attributes – single and double sampling
plans. Producer’s and consumer’s risk, OC, ASN, ATI functions AOQL and LTPD of
sampling plans. Sampling inspection by variables – simple cases.