QT 2

B Com (Hons) II Year

Quantitative Techniques for Business Decisions

UNIT – I

Index Numbers & Analysis of Time Series: Meaning – Problems in the construction of Index Numbers – Unweighted – Index Numbers – Simple Averages method and average of relatives methods (using AIM & GM) – Weighted – Index Numbers – laspeyres method – Passches method and Fisher’s Method Tests – Time Reversal Test and Factor Reversal Test – Fixed Base and chain base Index numbers – Base Shifting – Splicing and deflation of Index Numbers – Cost of Living Index Numbers – Aggregate expenditure method and family Budget method. Analysis of time series, Importance – Components – Measurement of Trend by straight line method and moving averages method – Measurement of seasonal variations by simple averages method.

UNIT – II

Profitability and Theoretical Distributions: Concept of probability – Types of events. Additional and multiplication theorems of probability – expectation – simple problems.

Theoretical Distributions: introduction – Binomial – Poisson and Normal Distributions (Without proof) – Area property of Normal distribution – Simpling and stratified Random sampling.

UNIT – III

Sampling Theory – Statistical Inference and Tests of Hypothesis (Large Samples)

Sampling Theory – Theoretical basis of sampling – Laws of statistical regularity and inertia – Methods of sampling – simple random sampling and stratified random sampling.

Statistical Inference and Tests of Hypothesis- Introduction – Standard Error – Sampling distribution – Procedure of testing Hypothesis – Null Hypothesis – Alternative hypothesis – Types of Errors – level of significance – Critical Region – One tailed Test and Two tailed test – tests of significance of attributes – tests for single proportion and difference of proportions – Test of significance of large samples (Single mean, difference of mean variance and standard deviation.)

UNIT – IV

Small Sample Tests: T-Test (Single mean, difference of means and paired T-Test) F-Test for equality of population variances.

Chi-Squire Test – Goodness of fit - Independent of an attributes (2X2 contingency table).

UNIT – V

Statistical Quality Control: Importance – Chance and Assignable causes – Control charts. – Mean, Range and Number of Defects per unit – Advantages and limitations of Statistical Quality Control.

 

 

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