Statistical Computing (B.Tech)

Departmental Elective-I: statistical methods, regression and data analysis with R and Python.

6 MonthsDuration 5Chapters26Topics

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Syllabus · पाठ्यक्रम

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01Unit 1: Descriptive Statistics 5 topics

Types of data and scales of measurement
Frequency distributions and graphs
Mean, median and mode
Range, variance and standard deviation
Skewness and kurtosis

02Unit 2: Probability and Distributions 5 topics

Probability, conditional probability and Bayes' theorem
Random variables, expectation and variance
Binomial and Poisson distributions
Normal distribution
Sampling distributions and central limit theorem

03Unit 3: Statistical Inference 5 topics

Point and interval estimation
Hypothesis testing, type I and type II errors
z-test and t-test
Chi-square test
F-test and one-way ANOVA

04Unit 4: Correlation and Regression 6 topics

Scatter diagram and Karl Pearson's correlation
Spearman's rank correlation
Simple linear regression by least squares
Multiple linear regression
Coefficient of determination and residual analysis
Introduction to logistic regression

05Unit 5: Statistical Computing with R and Python 5 topics

R basics: vectors, data frames, functions
Python: NumPy, pandas, SciPy and statsmodels
Data import, cleaning and visualisation (ggplot2, matplotlib)
Random number generation and simulation
Monte Carlo methods and bootstrap

About

You will be able to

Summarise data with measures of central tendency, dispersion, skewness and kurtosis
Apply probability rules and binomial, Poisson and normal distributions
Construct confidence intervals and perform z, t, chi-square, F tests and ANOVA
Compute correlation and fit simple and multiple linear regression models
Use R and Python (pandas, NumPy, SciPy, statsmodels) for data analysis and visualisation
Use simulation, Monte Carlo and bootstrap methods

Who it is for

B.Tech Computer Science & Engineering students of Semester 5 (AKTU)
Students of other universities studying the same subject who want unit-wise coaching

What you need

Engineering mathematics (probability basics)
Basic programming in Python or R

Questions

Which syllabus does the Statistical Computing course follow?

It follows the AKTU (Dr. A.P.J. Abdul Kalam Technical University, Lucknow) B.Tech syllabus for Statistical Computing. If your own university's syllabus differs, the centre follows your university syllabus.

Will this help in the university examination?

Yes. Teaching is unit-wise as per the AKTU scheme, with previous-year question practice, MCQ tests and doubt sessions before the semester exam.

Will I learn R or Python?

Both are introduced; every statistical method is first solved by hand and then computed in R and Python.