BCA Probability & Statistics

Meaning , Scope and Limitations of statistics , Types and Sotuces Methods and probrems of coflection of primary and secondary Data.

Measure of Central Tendency (Arithmetic Mean, Median, peulition Values,Mode); Measure of Dispersion (Absolute and Relative Measures: Range, Quartile Deviation, Mean Deviation, Standard Deviation, and Coefficient of variation)

Correlation: Definition, Scatter diagram, Karl pearson,s coeflicient of correlatiorr. Numerical problems for determination of Correlation Coefficients Regression: Definition , Dependent and Independent variables, Least Square method only, Numerical problerns.

Deflnition of Probability, Trwo basic Laws of probability( without proof), conditional Probability; Probability Distributions (Binomial, poisson and Normal); simple numerical problems.

Concept of population and Sample; Needs of Sarnpling; censuses and Sample Survey; Basic Concept of Sampling , Organizational Aspect of Sample Survey; Questionnaire Design; Sample Selection and Determination of Sample Size; Sampling and Non Sampling Errors.

Types of Sampling; Simple Random Sampling with and without Replacement; Stratifled Random Sampling; Ratio and Regression Method of Estimation under Simple and Stratified Random Sampling; Systematic Sampling , Cluster Sampling; Multistage Sampling, Probability proportion to Size Sampling (PPS). Estimation of Population Total and its variance. Sampling Distributions (t , x^2, z) and Related Problems.

Concept of Analysis of Variance (ANOVA) , F - Statics and its Distribution, Linear Model in ANOVA , Analysis of One Way , Two Way Classification ( 1 and m observations per cell ) in Fixed Effect Model.