This paper will enable students to exercise Multivariate Techniques in R environment in different Business Cases. They will know the different techniques covered under the scope of Multivariate Analysis and will be able to apply and build select Predictive Models in the context of Binary Classification and Time Series.
Course Outcomes (COs):
Course outcome (at course level) | Learning and teaching strategies | Assessment Strategies |
Students will be able to: CO6. Install R and r studio. CO7. Apply analysis tool R to solve practical problems in a variety of disciplines. CO8. Apply basic and advanced statistical techniques used in data science research. CO9. Analyze large sets of data to gain useful business understanding. CO10. Describe and demonstrate R methods for data visualisation | Approach in teaching: Interactive Lectures, Discussion, Demonstrations, Group activities, Teaching using advanced IT audio-video tools
Learning activities for the students: Effective assignments, Giving tasks.
| Assessment Strategies Class test, Semester end examinations, Quiz, Practical Assignments, Individual and group projects
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R and R Studio, Logical Arguments, Missing Values, Characters, Factors and Numeric, Help in R, Vector to Matrix, Matrix Access, Data Frames, Data Frame Access, Basic Data Manipulation Techniques, Usage of various apply functions – apply, lapply, sapply and tapply, Outliers treatment.
Measures of Central Tendency (Mean, Mode and Median), Charts (Bar, Pie and Box Plot, Histogram, Stem and Leaf Diagram), Measures of dispersion (Range, Inter-Quartile-Range, Standard Deviation, Skewness and Kurtosis), Standard Error of Mean and Confidence Intervals.
Discrete Probability Distributions: Binomial, Poisson, Continuous Probability Distribution, Normal Distribution & t-distribution, Sampling Distribution and Central Limit Theorem.
Parametric and non parametric tests (one sample, independent sample, paired sample and two and more then two samples)
Analysis of Relationship, Positive and Negative Correlation, Perfect Correlation, Correlation Matrix, Scatter Plots, Simple Linear Regression, R Square, Adjusted R Square, Testing of Slope, Standard Error of Estimate, Overall Model Fitness, Assumptions of Linear Regression, Multiple Regression, Coefficients of Partial Determination, Durbin Watson Statistics, Variance Inflation Factor.
Binary Classification versus Point Estimation, Odds versus Probability, Logit Function, Classification Matrix, Individual Group Classification Efficiency, Overall Classification Efficiency, Nagelkerke R Square, Receiver Operating Characteristic Curve, Sensitivity, Specificity, Area Under ROC Curve, Cut-Offs, True Positive Rate and False Positive Rate.
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