Statistics I - Syllabus
Embark on a profound academic exploration as you delve into the Statistics I course () within the distinguished Tribhuvan university's CSIT department. Aligned with the 2074 Syllabus, this course (STA164) 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 objectives:
To impart the knowledge of descriptive statistics, correlation, regression, sampling, theoretical as
well as the applied knowledge of probability and some probability distributions
Units
Basic concept of statistics; Application of Statistics in the field of Computer Science &
Information technology; Scales of measurement; Variables; Types of Data; Notion of a statistical
population
Measures of central tendency; Measures of dispersion; Measures of skewness; Measures of
kurtosis; Moments; Steam and leaf display; five number summary; box plot
Problems and illustrative examples related to computer Science and IT
Key Topics
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Introduction to E-commerce
IN-1Overview of E-commerce and its significance in the digital age.
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E-business vs E-commerce
IN-2Understanding the differences between E-business and E-commerce.
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Features of E-commerce
IN-3Key characteristics and benefits of E-commerce.
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Pure vs Partial E-commerce
IN-4Types of E-commerce models and their applications.
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History of E-commerce
IN-5Evolution and development of E-commerce over time.
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E-commerce Framework
IN-6Understanding the components of E-commerce framework including People, Public Policy, Marketing and Advertisement, Support Services, and Business Partnerships.
Definitions of population; sample survey vs. census survey; sampling error and non sampling
error; Types of sampling
Concept of a random variable; Types of random variables; Probability distribution of a random
variable; Mathematical expectation of a random variable; Addition and multiplicative theorems
of expectation
Problems and illustrative examples related to computer Science and IT
Probability distribution function, Joint probability distribution of two random variables; Discrete
distributions: Bernoulli trial, Binomial and Poisson distributions; Continuous distribution: Normal
distributions; Standardization of normal distribution; Normal distribution as an approximation of
Binomial and Poisson distribution; Exponential, Gamma distribution
Problems and illustrative examples related to computer Science and IT
Bivariate data; Bivariate frequency distribution; Correlation between two variables; Karl
Pearson’s coefficient of correlation(r); Spearman’s rank correlation; Regression Analysis: Fitting
of lines of regression by the least squares method; coefficient of determination
Problems and illustrative examples related to computer Science and IT
Lab works
S. No. | Title of the practical problems (Using any statistical software such as Microsoft Excel, SPSS, STATA etc. whichever convenient). | No. of | practical | problems | |||
1 | Computation of measures of central tendency (ungrouped and grouped data) Use of an appropriate measure and interpretation of results and | computation of partition Values | 1 | ||||
2 | Computation measures of dispersion (ungrouped and grouped data) and | computation of coefficient of variation. | 1 | ||||
3 | Measures of skewness and kurtosis using method of moments, Measures of Skewness using Box and whisker plot, normal probability plot | 2 | |||||
4 | Scatter diagram, correlation coefficient (ungrouped data) and interpretation. Compute manually and check with computer output. | 1 | |||||
5 | Fitting of lines of regression (Results to be verified with computer output) | 1 | |||||
6 | Fitting of lines of regression and computation of correlation coefficient, | Mean residual sum of squares, residual plots | 1 | ||||
7 | Conditional probability and Bayes theorem | 3 | |||||
8 | Obtaining descriptive statistics of probability distributions | 2 | |||||
9 | Fitting probability distributions in real data (Binomial, Poisson and Normal) | 3 | |||||
Total number of practical problems | 15 |