Applied Statistics

Paper Code: 
24STT422(A)
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
Objective: 

This course is meant for exposing the students to the concepts of Statistical Quality Control and their applications, index number, and demand analysis.

 

Course Outcomes: 

Course

Course Outcomes

Learning and teaching strategies

Assessment Strategies

Course Code

Course Title

24STT422(A)

Applied Statistics

(Theory)

CO 118: Develop a comprehensive understanding of Statistical Quality Control (SQC) and the application of control charts and sampling plans for effective quality management.

CO 119: Demonstrate proficiency in the utilization of double sampling plans and standard tables to enhance the overall quality of products and processes. 

CO 120: Demonstrate proficiency in the use and interpretation of CUSUM and EWMA control charts.

CO 121: Develop a comprehensive understanding of process capability analysis. 

 CO 122: Interpret and apply a range of index numbers to various sectors and analyses and interpret concepts of demand theory.

CO 123: Contribute effectively in course-specific interaction.

Approach in teaching: 

Interactive Lectures, 

Group Discussion, 

Classroom Assignment,

Problem Solving Sessions.

 

Learning activities for the students:

Assignments,

Seminar,

Presentation,

Subject based Activities.

Classroom Quiz,

Assignments,

Class Test,

Individual Presentation.

 

15.00
Unit I: 
Control Charts and Acceptance Sampling Plans

Control-Charts: Concept and construction of control charts for variables and attributes and their OC Curve. Modified control limits. Acceptance Sampling Plans by Attribute: AQL, AOQL, Producer’s Risk and Consumer Risk. Rectification and their O.C. function, ASN and ATI.

 

15.00
Unit II: 
Sampling Plans and Inspection Methods

Single and double sampling plans and their mathematical analysis. Idea of Standard sampling tables: Dodge and Romig tables. Sampling Inspection Plans for Variables: One sided specification standard (Known and Unknown Cases), two sided specifications (for known standards).

 

15.00
Unit III: 
Advanced Control Charts

CUSUM charts, EWMA charts –Use of these charts for prediction. CUSUM, EWMA for controlling process variability. Comparison of these charts with Shewart charts.

 

15.00
Unit IV: 
Process Capability Analysis

Process Capability analysis: Meaning, Estimation technique for capability of a process – Capability Indices: Process capability ratios Cp; Cpk, Cpm, Cmk, Cpc – Process capability analysis using a control chart – Process capability analysis using design of experiments, Gage and measurement system capability studies.

 

15.00
Unit V: 
Index Numbers and Income Distribution Analysis

Meaning and uses, problem in the construction of index numbers, price relatives, quantity and value relatives. Fixed base and chain base index numbers. Laspeyers, Paasche’s, Marshall-Edgeworth and Fisher’s ideal index numbers. Test for index numbers. Base shifting, Construction of cost of living index and Whole-sale price index. Theory and analysis of consumer demand, estimations of demand function. Demand and income elasticity. Income Distributions: Pareto’s law of income distributions. Engle’s curve, curves of concentration.

 

Essential Readings: 

·        Cowden, D.J. (1957): Statistical Methods in Quality Control, Prentice Hall of India.

·        Duncan, A.J. (1986): Quality Control and Industrial Statistics, 5th Ed. Irwin Book Co.

 

SUGGESTED READINGS:

·        Gran,t E.L. & Leavenworth, R.S. (1996): Statistical Quality Control, 7th Ed. McGraw Hill.

·        Montgomery, D.C. (2019): Introduction to Statistical Quality Control, 5th Ed. John Wiley.

·        Wetherhil, G.B. (1977): Sampling Inspection and Quality Control, Halsted Press.

·        Biswas, S.(2008): Statistics of Quality Control, New Central Book Agency

 

e-RESOURCES:

·        https://epgp.inflibnet.ac.in/

·        https://www.academia.edu/

·        https://www.slideshare.net/

·        https://www.youtube.com/watch?v=MDoRpJOntLo&list=PLFW6lRTa1g82IqCx1xydB2KyVaFd4nGwO

 

JOURNALS:

·        Sankhya The Indian Journal of Statistics, Indian Statistical Institute

·        Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University

·        Afrika Statistika, Saint-Louis Senega University

·        International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic

·        Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics

·        Journal of the Indian Statistical Association, Indian Statistical Association

·        Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna

·        Statistics and Applications, Society of Statistics, Computer and Applications

·        Stochastic Modeling and Applications, MUK Publications and Distributions

 

Academic Year: 
2024-2025
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