Syllabus For The Subject ADVANCED STATISTICS

UNIT - 01

PROBABILITY THEORY AND RANDOM VARIABLES - INTRODUCTION - PROBABILITY -

CLASSICAL - RELATIVE AND SUBJECTIVE PROBABILITY - PROBABILITY FUNCTIONS -

APPLICATIONS

UNIT - 02

THEOREMS OF TOTAL PROBABILITY - INTRODUCTION - ADDITION AND MULTIPLICATION

RULE OF PROBABILITY - CONDITIONAL PROBABILITY AND BAYE`S THEOREM -

PROBABILITY UNDER CONDITIONS OF STATISTICAL INDEPENDENCE

UNIT - 03

PROBABILITY DISTRIBUTIONS - INTRODUCTION - BINOMIAL DISTRIBUTION - POISSON

DISTRIBUTION - GEOMETRIC DISTRIBUTION - NORMAL DISTRIBUTION - THEIR

CHARACTERISTICS AND APPLICATIONS

UNIT - 04

SAMPLING AND SAMPLING DISTRIBUTIONS - INTRODUCTION - RANDOM AND NONRANDOM

SAMPLES - SAMPLE DESIGNS - METHOD OF SAMPLING - SAMPLING AND NON -

SAMPLING ERRORS - SAMPLING FROM NORMAL POPULATIONS - THE SAMPLING

DISTRIBUTION OF SAMPLING PROPORTION

UNIT - 05

STATISTICAL ESTIMATION - INTRODUCTION - TYPES OF ESTIMATES - POINT AND

INTERVAL ESTIMATES OF A POPULATION PROPORTION AND MEAN - QUALITIES OF

GOOD ESTIMATORS - DETERMINING THE SAMPLE SIZE IN ESTIMATION - APPLICATIONS

UNIT - 06

TESTING OF HYPOTHESIS - INTRODUCTION - HYPOTHESIS TESTING OF PROPORTION

AND MEAN, SINGLE AND TWO-TAILED TESTS - ERRORS IN HYPOTHESIS TESTING -

MEASURING THE POWERS OF HYPOTHESIS TEST - T-TEST - Z-TEST

UNIT - 07

CHI-SQUARE ANALYSIS - INTRODUCTION - ESTIMATION OF CHI-SQUARE AND

INTERPOLATION - CHI-SQUARE DISTRIBUTION - CHI-SQUARE TESTS FOR

INDEPENDENCE AND GOODNESS OF FIT

UNIT - 08

F-TEST AND ANALYSIS OF VARIANCE - INTRODUCTION - ESTIMATION AND

INTERPRETATION OF F-TEST - ONE WAY CLASSIFICATION AND TWO WAY

CLASSIFICATION OF ANOVA - ASSUMPTIONS OF THE ANALYSIS OF VARANCE

UNIT - 09

NON-PARAMETRIC TEST - INTRODUCTION - SIGN TEST OF PAIRED DATA - WILCOX ON

SIGNS - RANK-SUM TEST - MANN-WHITNEY - U TEST - KRUSKULS WALLIS - H TEST -

KOLMOGORV - SMIRNOV TEST - RUN TEST - WOLFOWITZ TEST

UNIT - 10

Vinayaka Missions University,Directorate of Distance Education

Salem India

MASTER OF COMMERCE IN CO.OPERATIVE MANAGEMENT

1 Yr.

ADVANCED STATISTICS[MCOM](2030601)

MULTIPLE CORRELATION - INTRODUCTION - COEFFICIENT OF MULTIPLE CORRELATION -

THE STANDARD ERROR OF ESTIMATE - THE ADVANTAGES AND LIMITATIONS OF

MULTIPLE CORRELATION ANALYSIS - CANONICAL CORRELATION

UNIT - 11

MULTIPLE REGRESSION - INTRODUCTION - TYPES - HIERARCHICAL MULTIPLE

REGRESSION - STANDARD MULTIPLE REGRESSION - TESTING THE SIGNIFICANCE OF

MULTIPLE REGRESSION - THE K-VARIABLE MULTIPLE REGRESSION MODELS - USING

MULTIPLE REGRESSION MODEL FOR PREDICTION

UNIT - 12

MULTIVARIATE ANALYSIS - INTRODUCTION - THE MULTIVARIATE NORMAL DISTRIBUTION

- DISCRIMINATE ANALYSIS - DEVELOPING A DISCRIMINANT FUNCTION - DISCRIMINANT

ANALYSIS WITH MORE THAN TWO GROUPS - FACTOR ANALYSIS - THE EXTRACTION OF

FACTORS AND ROTATION OF FACTORS - CLUSTER ANALYSIS - HIERARCHICAL AND

PARTITION CLUSTER ANALYSIS - SPSS

 

 

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