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Useful for UGC NET · CSIR NET · ASRB NET · ISS

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  1. Welcome
  2. Course Outcomes
  3. Units in this Course
  4. Recommended Textbooks

Welcome

This is the complete study package for Computational Statistics & R Programming — using R, the open-source statistical computing language, for data handling, descriptive statistics, visualization, hypothesis testing and regression. Each topic shows the exact R code with sample outputs and two worked examples per concept.

Pre-requisite: The earlier subjects. Familiarity with Descriptive Statistics, the tests in Inferential Statistics, and regression from Statistical Methods. You should install R from cran.r-project.org and ideally RStudio from posit.co.

Course Outcomes

  1. Import and preprocess statistical datasets in R efficiently.
  2. Demonstrate proficiency in basic data manipulation for statistical preparation.
  3. Apply R functions to handle real-world data issues like outliers and inconsistencies.
  4. Compute and interpret descriptive statistics using R commands and packages.
  5. Analyse data distributions and identify patterns or anomalies statistically.
  6. Generate summary reports for datasets to support preliminary statistical insights.

Units in this Course

UNIT 1

Basics of R for Statistical Data Handling

R environment & installation, data types (vectors, matrices, data frames), data import / export from CSV / Excel / databases, missing values, subsetting, merging, applying functions.

UNIT 2

Descriptive Statistics & Data Summarization

Central tendency, variability, skewness, kurtosis, quantiles; summary(), describe(); frequency tables, cross-tabulations and contingency tables.

UNIT 3

Data Visualization in R

Base R graphics — histograms, boxplots, scatter plots, bar charts and residual plots for assumption checking.

UNIT 4

Inferential Statistics & Hypothesis Testing

Probability distributions (Normal, Binomial, Poisson) and random sampling; t-tests, χ² tests, ANOVA; p-values, CIs; Wilcoxon non-parametric test.

UNIT 5

Regression Modeling in R

Karl Pearson & Spearman correlation coefficients; simple linear regression via lm().

PRACTICAL

Practical Course (7 Experiments)

Hands-on R labs: data import, descriptive stats, contingency tables, visualizations, hypothesis testing, non-parametric tests, regression modelling.

REFERENCE

Official Syllabus

Course outline, textbooks, references and exam blueprint.

Quick install: Open R or RStudio and type install.packages(c("psych", "moments", "dplyr", "ggplot2", "readxl")) to install the most-used packages used throughout this course.

Next course in learning order: Computational Statistics & R Programming (2023 syllabus) Statistical computing