**DEPARTMENT OF STATISTICS**

**Program Specific Outcomes (PSOs) **

On successful completion of **M. Sc., Statistics** program, the students will be expected to:

**PSO1 **Comprehend the theoretical aspects of statistics

**PSO2 **Recognize the application of statistics in diversified fields

**PSO3 **Develop computer programs and codes for statistical computation

**PSO4 **Utilize statistical software effectively for data analysis

**PSO5 **Understand the conditions and limitations of statistical methods in application

**PSO6 **Apply Statistical Concepts to real time modelling

**PSO7 **Identify areas which require solution through Statistical tools

**PSO8 **Develop Statistical applications using software for specific problems

**PSO9 **Acquire skills to track examinations which demand Critical Statistical thinking

**PSO10 **Understand the Significance of Statistical tools in administration

**Program Outcomes (POs) **

On successful completion of the **M. Sc., Statistics **program, the graduates will be able to:

**PO1 **Acquire adequate knowledge in theory and applications

**PO2 **Apply the concepts and principles in various fields

**PO3 **Acquire analytical skills for computation

**PO4 **Acquire software skills for statistical computation

**PO5 **Prepare to participate in competitive examinations at the state and national level

**PO6 **Acquire skills to meet the challenges in job placements

**PO7 **Acquire skills to pursue higher education

**PO8 **Gain effective skills to perform data analysis using statistical tools

**PO9 **Identify potential problem areas which require statistical solutions

**PO10 A**pply statistical methods to real time problems

**M.Sc., Statistics**

**Course Outcomes**** **

**Course Name : ****Real Analysis and Linear Algebra** ** Course Code: **21PST01** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the knowledge for derivability, continuity and convergence of sequences and series | 1,2,3,4,5,6,7,8,9,10 | Remember to Apply |

CO2 | Apply various methods and interpret the matrix properties with Eigen values and Eigen vectors. | 1,2,3,4,5,6,7,8,9,10 | Remember to Evaluate |

CO3 | Apply the classification of quadratic forms and find the nature of quadratic forms | 1,2,3,4,5,6,7,8,9,10 | Analyze, Evaluate |

CO4 | Derive the characteristic roots and vectors | 1,2,3,4,5,6,7,8,9,10 | Analyze, Evaluate |

CO5 | Analyze the usefulness of applications of MP inverse for the solution of optimization problems | 1,2,3,4,5,6,7,8,9,10 | Understand, Create |

**Course Name : ****Distribution Theory ** ** Course Code: **21PST02** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Apply the concept of transformations to find the distribution of function of random variables. | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO2 | Understand the properties of Bivariate Normal Distribution | 1,2,3,4,5,6,7,8,9,10 | Understand |

CO3 | Derive the properties and apply the results of compound and truncated distributions. | 1,2,3,4,5,6,7,8,9,10 | Analyse |

CO4 | Explain the need for non-central distributions and derive the properties of the same. | 1,2,3,4,5,6,7,8,9,10 | Understand and Apply |

CO5 | Derive the distribution and properties of order statistics and apply the same to real life problems | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

**Course Name : ****Sampling Techniques**** ** ** Course Code: **21PST03** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the importance of sampling and sample surveys | 1,2,3,4,5,6,7,8,9,10 | Understand |

CO2 | Adopt suitable sampling methods for given situations | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply |

CO3 | Observe the effectiveness of sample surveys | 1,2,3,4,5,6,7,8,9,10 | Remember, Analyse |

CO4 | Design and perform sample surveys | 1,2,3,4,5,6,7,8,9,10 | Apply, Evaluate |

CO5 | Draw random samples using various sampling methods and study the properties | 1,2,3,4,5,6,7,8,9,10 | Remember, Apply, Evaluate, Create |

**Course Name : ****Measure Theory**** ** ** Course Code: **21PSTM1** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the meaning of measure and probability | 1,2,3,4,5,6,7,8,9,10 | Remember |

CO2 | Comprehend the concepts of sets, functions, measure and probability space | 1,2,3,4,5,6,7,8,9,10 | Understand |

CO3 | Provide basic and advanced applications of measure and probability | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO4 | Identify application of inequalities in probability theory | 1,2,3,4,5,6,7,8,9,10 | Analyze |

CO5 | Explore the application of law of large numbers and central limit theorems | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

**Course Name : ****Official Statistics**** ** ** Course Code: **21PSTM2** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the fundamentals of measurement in official statistics | 1,2,3,4,5,6,7,8,9,10 | Remember |

CO2 | Evaluate the methods for data collection, analysis and interpretation of health, social and economic | 1,2,3,4,5,6,7,8,9,10 | Understand |

CO3 | Use appropriate methods for presenting and preparing commentaries on official statistics | 1,2,3,4,5,6,7,8,9,10 | Apply &Analyze |

CO4 | Execute the tasks in agricultural and economic statistics | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

CO5 | Overcome the limitations that arises from measurement and processes of statistical production | 1,2,3,4,5,6,7,8,9,10 | Create |

**Course Name : ****Probability Theory**** ** ** Course Code: **21PST04** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the meaning of probability measure, probability space and distribution function | 1,2,3,4,5,6,7,8,9,10 | Remember, Understand |

CO2 | To have an understanding of the nature of chance and variation in real life situation apply the measure and probability | 1,2,3,4,5,6,7,8,9,10 | Understand, Analyze |

CO3 | To understand the fail behavior of a random variable and the behavior of the average of independent random variable in various field. Apply in real life problem | 1,2,3,4,5,6,7,8,9,10 | Apply, Analyze, Evaluate |

CO4 | To know how a sequence of probability converges and how a sequence of random variables in the limit | 1,2,3,4,5,6,7,8,9,10 | Apply, Analyze, Evaluate |

CO5 | Explore the applications of central limit theorem (CLT) and analyze various research problem in different fields. | 1,2,3,4,5,6,7,8,9,10 | Apply, Analyze, Evaluate |

**Course Name : ****Multivariate Analysis**** ** ** Course Code: **21PST05** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the knowledge of cluster analysis, principal component analysis and factor analysis | 1,2,3,4,5,6,7,8,9,10 | Remember to Apply |

CO2 | Apply the variable reduction methods to study the real life problems using cluster analysis, principal component analysis and factor analysis. | 1,2,3,4,5,6,7,8,9,10 | Remember to Evaluate |

CO3 | Apply the classification techniques to real life problems. | 1,2,3,4,5,6,7,8,9,10 | Analyze, Evaluate |

CO4 | Analyse the hypothesis for multiple characteristics. | 1,2,3,4,5,6,7,8,9,10 | Analyze to Create |

CO5 | Create the testing methodology based on Wilk’s criterion for their further research | 1,2,3,4,5,6,7,8,9,10 | Understand, Create |

**Course Name : ****Design of Experiments**** ** ** Course Code: **21PST06** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Remember and understand the theoretical knowledge of analysis of various and design of experiments | 1,2,3,4,5,6,7,8,9,10 | Remember, Understand |

CO2 | Understand the type of suitable design for the analysis of experiments in various practical situation | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply |

CO3 | Apply various design of experiments and evaluate its results | 1,2,3,4,5,6,7,8,9,10 | Apply, Analyze, Evaluate |

CO4 | Create further analysis which are specific to the scope and objective of any experiments | 1,2,3,4,5,6,7,8,9,10 | Analyze. Create |

CO5 | Create a new experimental design as per the objective of the research problem in various fields | 1,2,3,4,5,6,7,8,9,10 | Create |

**Course Name : ****Programming in R**** ** ** Course Code: **21PSTM3

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the basics of R Language | 1,2,3,4,5,6,7,8,9,10 | Understand |

CO2 | Apply the logical skills for performing statistical analysis | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO3 | Use appropriate plots, charts and diagrams for all kinds of data | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

CO4 | Perform parametric methods | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

CO5 | Perform data analysis for real time problems | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

**Course Name : ****Reliability Theory and Survival Analysis ****Course Code: **21PSTM4

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Learn the concept of reliability and its various measures. | 1,2,3,4,5,6,7,8,9,10 | Remember, Understand |

CO2 | Find failure rate, identify failure rate distributions. | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply, Evaluate |

CO3 | Compute reliability of components and systems. | 1,2,3,4,5,6,7,8,9,10 | Apply, Evaluate |

CO4 | Learn the application of statistics in handling survival data. | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply, Analyze |

CO5 | Learn the censoring scheme and likelihood function and its estimation. – Non-parametric estimation in lifetime data. | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply, Analyze |

**Course Name : ****Statistical Estimation Theory**** ****Course Code: **21PST07** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the knowledge of MLE, minimum variance, Unbiased estimation etc. | 1,2,3,4,5,6,7,8,9,10 | Remember to Apply |

CO2 | Compare the estimators and find out the properties of estimator such as unbiasedness, efficiency, sufficiency etc. | 1,2,3,4,5,6,7,8,9,10 | Remember to Evaluate |

CO3 | Apply the lower bound such as Cramer Rao bound to probability distributions. | 1,2,3,4,5,6,7,8,9,10 | Analyze , Evaluate |

CO4 | Apply estimation methods to real life problems. | 1,2,3,4,5,6,7,8,9,10 | Analyze to Create |

CO5 | Construct confidence Intervals for population parameters. | 1,2,3,4,5,6,7,8,9,10 | Understand, Create |

**Course Name : ****Demography **** ****Course Code: **21PST08** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Learn the basics of demographic data. | 1,2,3,4,5,6,7,8,9,10 | Understand, Analyze |

CO2 | Provide the basic knowledge in Measurements of Population. | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply |

CO3 | Explore the importance of fertility measures | 1,2,3,4,5,6,7,8,9,10 | Remember, Analyze |

CO4 | Analyze the concepts of Migration and its importance. | 1,2,3,4,5,6,7,8,9,10 | Apply, Evaluate |

CO5 | Understand the core idea of population projection and their estimation. | 1,2,3,4,5,6,7,8,9,10 | Remember, Understand, Apply,Analyze,Evaluate,Create |

**Course Name : ****Stochastic Processes**** **** ****Course Code: **21PST09** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand and apply Markovian concept in real time decision making. | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO2 | Adopt Birth-Death process to queueing situation. | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO3 | Apply Time series models to real time problems. | 1,2,3,4,5,6,7,8,9,10 | Analyze |

CO4 | Apply the concept of Renewal theory. | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

CO5 | Apply the concepts of Branching process | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

**Course Name : ****Data Analysis using Excel**** **** ****Course Code: **21PCMST

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Define terminology related to spreadsheet applications. | 1,2,3,4,5,6,7,8,9,10 | Remember, Understand |

CO2 | Find and replace cell data and formats. | 1,2,3,4,5,6,7,8,9,10 | Understand , Apply |

CO3 | Use appropriate plots, Charts and diagrams for all kinds of statistical data. | 1,2,3,4,5,6,7,8,9,10 | Understand , Apply, Analyze |

CO4 | Create and revise formulas, using functions. | 1,2,3,4,5,6,7,8,9,10 | Understand , Apply, Analyze |

CO5 | Analyze the data and interpret the results for statistical methods. | 1,2,3,4,5,6,7,8,9,10 | Understand , Apply, Analyze |

**Course Name : ****Testing of Hypothesis**** **** ****Course Code: **21PST10** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Determine the size of critical region and power of test function. | 1,2,3,4,5,6,7,8,9,10 | Apply, Evaluate |

CO2 | Apply the NP lemma to real life problem solving. | 1,2,3,4,5,6,7,8,9,10 | Apply, Evaluate |

CO3 | Apply a sequential procedure for a specified stopping rule and the decision rule. | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply, Evaluate |

CO4 | Apply the likelihood ratio test to the hypothesis of real life situations. | 1,2,3,4,5,6,7,8,9,10 | Apply, Evaluate |

CO5 | Test statistical hypothesis by selecting suitable test procedure. | 1,2,3,4,5,6,7,8,9,10 | Apply, Analyze, Evaluate |

**Course Name : ****Statistical Quality Control **** ****Course Code: **21PST11** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Construct control charts for large and smaller shifts in the process Parameters | 1,2,3,4,5,6,7,8,9,10 | Remember, Understand |

CO2 | Effectively interpret the results from the control charts | 1,2,3,4,5,6,7,8,9,10 | Understand , Apply |

CO3 | Carry out process capability analysis | 1,2,3,4,5,6,7,8,9,10 | Understand , Apply |

CO4 | Adopt appropriate sampling inspection plans for given conditions | 1,2,3,4,5,6,7,8,9,10 | Remember , Apply |

CO5 | Compute control charts of components and systems | 1,2,3,4,5,6,7,8,9,10 | Understand , Apply, Analyze |

**Course Name : ****Operations Research ****Course Code: **21PST12** **

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Understand the knowledge of LPP, Duality in LPP and Dual Simplex method | 1,2,3,4,5,6,7,8,9,10 | Understand, Apply |

CO2 | Apply the concept of IPP and solve the IPP | 1,2,3,4,5,6,7,8,9,10 | Remember to Evaluate |

CO3 | Construct and evaluate the Non- linear programming problem | 1,2,3,4,5,6,7,8,9,10 | Evaluate |

CO4 | Design and develop inventory problem | 1,2,3,4,5,6,7,8,9,10 | Create |

CO5 | Apply PERT and CPM techniques in research and construction projects. | 1,2,3,4,5,6,7,8,9,10 | Apply to Create |

**Course Name : ****Statistical Analysis ****Course Code: **21PCEM1

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Characterise the data using statistical constants | 1,2,3,4,5,6,7,8,9,10 | Understand, Analyse |

CO2 | Apply sampling techniques to real life problems | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO3 | Perform small sample tests | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO4 | Perform large sample tests | 1,2,3,4,5,6,7,8,9,10 | Apply |

CO5 | Perform the Analysis of Variance | 1,2,3,4,5,6,7,8,9,10 | Apply |

**Course Name : ****Quantitative Techniques for Business Decisions ****Course Code: **21PCEM3

S. NO. |
COURSE OUTCOME |
PSOs Addressed |
BLOOMS VERB |

CO1 | Compute the seasonal indices using time series | 1,2,3,4,5,6,7,8,9,10 | Compute the seasonal indices using time series |

CO2 | Use various criteria of decision making to solve real life problems | 1,2,3,4,5,6,7,8,9,10 | Use various criteria of decision making to solve real life problems |

CO3 | Obtain optimum solution to the LPP | 1,2,3,4,5,6,7,8,9,10 | Obtain optimum solution to the LPP |

CO4 | Solve the Transportation Problem | 1,2,3,4,5,6,7,8,9,10 | Solve the Transportation Problem |

CO5 | Find the critical path of a network in certain and uncertain situations. | 1,2,3,4,5,6,7,8,9,10 | Find the critical path of a network in certain and uncertain situations. |