Probability & Statistics - Syllabus
Embark on a profound academic exploration as you delve into the Probability & Statistics course (STAT) within the distinguished Tribhuvan university's BCA department. Aligned with the BCA Curriculum, this course (CACS202) seamlessly merges theoretical frameworks with practical sessions, ensuring a comprehensive understanding of the subject. Rigorous assessment based on a 60 + 20 + 20 marks system, coupled with a challenging passing threshold of , propels students to strive for excellence, fostering a deeper grasp of the course content.
This 3 credit-hour journey unfolds as a holistic learning experience, bridging theory and application. Beyond theoretical comprehension, students actively engage in practical sessions, acquiring valuable skills for real-world scenarios. Immerse yourself in this well-structured course, where each element, from the course description to interactive sessions, is meticulously crafted to shape a well-rounded and insightful academic experience.
Course Description
This course covers basic concept of statistics.. measurement of central tendency, correlation & regression analysis, probability. sample survey, sample survey methods and design of experiment. These topics are essential tools for research.
Course Objective
The general objectives of this course are to provide fundamental concept of Statistics, Probability, Sample Survey and their applications in the area of Social Science and Computer Application.
Units
Meaning, Scope and Limitations of Statistics, Types and Sources of Data, Methods and Problems of Collection of Primary and Secondary Data.
Descriptive Statistics
Measure of Central Tendency (Arithmetic Mean, Median, Partition Values, Mode); Measure of Dispersion(Absolute and Relative Measures Range, Quartile Deviation, Mean Deviation, Standard Deviation and Coefficient of Variation)
Correlation and Regression Analysis
Correlation: Definition, Scatter diagram, Karl Pearson's coefficient of correlation, Numerical problems for determination of Correlation Coefficients.
Regression: Definition, Dependent and Independent Variables, Least Square nethod only, Numerical Problems.
Probability
Definition of Probability, Two basic Laws of Probability( without proof), Conditional Probability; Probability Distributions(Binomial, Poisson and Normal); simple numerical problems.
Sample Survey
Concept of Population and Sample; Needs of Sampling; Censuses and Sample Survey; Basic Concept of Sampling; Organizational Aspect of Sample Survey; Questionaire Design: Sample Selection and Determination of Sample Size; Sampling and Non Sampling Errors.
Sample Survey Methods
Types of Sampling: Simple Random Sampling with and without Replacement; Stratified 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, x2, z) and Related Problems.
Design of experiment
Concept of Analysis of Variance(ANOVA), F-Statistic and its Distribution, Linear Model in ANOVA, Analysis of One Way, Two Way Classification(I and m observations per cell)in Fixed Effect Model.
Lab works
Laboratory Works
Techniques for using the computer as a tool in the analysis of statistical problems will be introduced. SPSS software should be used for data analysis