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From the Session 2009-10, the nomenclature of Diploma in Statistics has been changed to

Post Graduate Diploma in Statistics (PG.D.St.).

The following four paper have to be taken together for the PG.D.St.

Paper-I.   Descriptive Statistics     M.Marks: 100
Paper-II.  Probability and Sampling Distributions with Applications     M.Marks: 100
Paper-III. Basic Business Statistics     M.Marks: 100
Paper-IV. Research Methods     M.Marks: 100


Paper - I     Descriptive Statistics  (M.Marks: 100)
1 The thrust of the paper is on basic concepts and application of statistics and not on mathematical derivations.
2.The paper is divided into three sections, namely A, B and C
3.The question paper will have 9 questions, with 3 questions from each section. A candidate will be required to attempt 5 questions in all, selecting at most two from each section.
4.The students are allowed to use electronic calculators with four basic Mathematical operations and up to one memory.
5.The distribution of 100 marks is as follows:
Final Examination: 90 marks
Internal Assessment:10 marks


Section - A
Descriptive Statistics: Descriptive and inductive statistics, frequency distribution, Graphical and diagrammatic representation of data. Measures of location: arithmetic mean, median, mode, geometric mean, harmonic mean, weighted means, quartiles, deciles and percentiles. Measures of variation: range, quartile deviation, mean deviation and standard deviation. Dispersion coefficients and co-efficient of variation. Measures of skewness and kurtosis.

Section - B
Correlation Analysis: Methods of studying simple correlation: scatter diagram, Karl Pearson's co-efficient of correlation, Spearman's rank correlation. Multiple and partial correlation, Correlation ratio and intra-class correlation.
Regression Analysis: Introduction: meaning and purpose of regression. Simple and multiple linear regression using least square principle. Coefficient of determination.

Section - C
Vital Statistics: Rates of vital events. Measurements of mortality: crude death rate, specific death rate, standardized death rate. Life tables: description and construction of life table, abridged life table. Measurement of fertility: crude birth rate, general fertility rate, age-specific fertility rate, total fertility rate. Measurement of population growth: crude rate of natural increase and vital-index, gross net re-production rate.

References :
1. I. E. Freund and FJ William, Modern Business, Statistics.
2. A. M. Goon, M. K. Gupta and B. Das Gupta, Fundamentals of Statistics, Vol. I and II,



Paper - II Probability and Sampling Distributions with Applications  (M.Marks: 100)
1.The thrust of the paper is on basic concepts and application of statistics and not on mathematical derivations.
2.The paper is divided into three sections, namely A, B and C
3.The question paper will have 9 questions, with 3 questions from each section. A candidate will be required to attempt 5 questions in all, selecting at most two from each section.
4.The students are allowed to use electronic calculators with four basic Mathematical operations and up to one memory.
5.The distribution of 100 marks is as follows:
Final Examination: 90 marks
Internal Assessment:10 marks


Section - A
Probability: : Random experiments, sample space, events. Mutually exclusive events, exhaustive events, complementary events, equally likely events, independent and dependent events, exhaustive events. Classical, statistical (empirical) and axiomatic approaches to probability. Additive and multiplicative laws of probability, conditional probability, partition of sample space, theorem of total probability and Bayes' theorem. Discrete and continuous random variables and their probability functions. Mathematical expectation. Theoretical distributions: binomial, Poisson and normal and their properties and applications. Sampling distributions associated with normal distribution (Chi-square, t and F). Law of large numbers and central limit theorem (definitions and applications only).

Section - B
Tests of Significance: Statistical hypotheses. Type-I and Type-II errors, level of significance, test of significance. Tests of significance for the parameters of the normal distribution (one sample and two samples). Approximate tests concerning proportion, difference of two proportions. Chi-square tests for goodness of fit and independence of attributes. Test for the significance of observed correlation coefficient.

Section - C
Non-parametric Tests: One-sample tests: Kolmogorov Smirnov goodness of fit test, run tests, sign test, Wilcoxon's signed-rank test. Two-sample test: Wilcoxon-Mann-Whitney test. Kruskal Wallis one-way analysis of variance test and Friedman two-way analysis of variance test.

References :
1. P.L. Meyer, Introductory probability and Statistical Applications.
2. L. Miller, I. and M. Miller, Mathematical Statistics ( Sixth Ed.).



Paper - III    Basic Business Statistics  (M.Marks: 100)
1.The thrust of the paper is on basic concepts and application of statistics and not on mathematical derivations.
2.The paper is divided into three sections, namely A, B and C
3.The question paper will have 9 questions, with 3 questions from each section. A candidate will be required to attempt 5 questions in all, selecting at most two from each section.
4.The students are allowed to use electronic calculators with four basic Mathematical operations and up to one memory.
5.The distribution of 100 marks is as follows:
Final Examination: 90 marks
Internal Assessment:10 marks


Section - A
Index Numbers: Purpose of the index numbers, problems in the construction of index numbers.  Construction of index numbers: un-weighted and weighted  aggregate methods and method of weighted averages of price relatives. Chain index numbers. Conversion of fixed base to chain base index numbers and vice versa. Cost of living index numbers. Splicing and deflating  of index number series

Section - B
Statistical Quality Control: Definition of quality. Assignable and chance sources of variation.  Control Limits, Control Charts: construction and uses of X-bar, R, s, p and c-charts.  Concepts of OC, ASN, AQL.

Quality Assurance, ISO 9000 series of standards, Evolution, Models, Applications: Industry & Service Sector.  Statistical Techniques for ISO 9000.

Section - C
Time Series Analysis: Meaning of time series. Components of a time series: trend, seasonal variations, cyclical variations and irregular variations. Additive and multiplicative models of time series.

Measurement of trend: semi-average method and method of curve fitting by least squares: linear, modified linear and curvilinear curves.  Measurement of seasonal variations: method of simple averages, ratio-to-trend method, ratio-to-moving average method. Deseasonalized data. Use of seasonal indices in forecasting.

Computational Methods: Interpolation and extrapolation, their significance.  Lagrange and Newton methods.

References :
1.   A.M.Goon, M. K. Gupta, B. Dasgupta, Fundamental of Statistics Vol.II.
2.John E. Freund and Frank, I Williams, Modern Business Statistics.
3. S. P. Gupta, and M. P. Gupta, Business Statistics Chapter 18, 19.



Paper - IV     Research Methods  (M.Marks: 100)
1. The thrust of the paper is on basic concepts and application of statistics and not on mathematical derivations.
2.The paper is divided into three sections, namely A, B and C
3.The question paper will have 9 questions, with 3 questions from each section. A candidate will be required to attempt 5 questions in all, selecting at most two from each section.
4.The students are allowed to use electronic calculators with four basic Mathematical operations and up to one memory.
5.The distribution of 100 marks is as follows:
Final Examination: 90 marks
Internal Assessment:10 marks


Section - A
Introduction to Research : meaning of research, types of research, role of research, characteristics of interest in research. Process of research, report writing and presentation. Use of statistical packages (Excel, Minitab, SPSS) in research.

Section - B
Sampling Techniques: Measurement scales. Population and sample. Sources of data, collection of data.

Basic principles of sample survey.  Sampling and non-sampling errors, sample survey versus complete enumeration.  Different stages in a sample survey.  Sampling Techniques: simple random sampling (with and without replacement), stratified random sampling, systematic sampling, multistage sampling, multiphase sampling. Purposive sampling and quota sampling.

Section - C
Design of Experiments. Analysis of variance: one way and two-way classifications.  Principles of design of experiments. Completely randomized design, randomized complete block design and Latin square design: their layouts, analysis of variance tables and applications.

References :
1.A.M. Goon, M. K. Gupta, B. Dasgupta, Fundamental of Statistics Vol.II.

2.C.R. Kothari, �Research Methodology � Methods and Techniques�, Wiley Eastern Ltd

3. John E. Freund and Frank, I Williams, Modern Business Statistics.
4.Hurbet M. Blalock (Jr.), Social Statistics.