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Vinayaka Missions University,Directorate of Distance Education Salem India MASTER OF COMMERCE IN CO.OPERATIVE MANAGEMENT 1 Yr. ADVANCED STATISTICS[MCOM](2030601) 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 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