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AKTU Descriptive Statistics & Process Control (BBT056) Syllabus PDF – B.Tech 3rd Year

Descriptive Statistics & Process Control BBT056

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  • Semester 5
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Official AKTU syllabus of Descriptive Statistics & Process Control (BBT056) for B.Tech 3rd Year – 3 credits, L-T-P 3-0-0. Read the unit-wise course content, course outcomes, evaluation pattern and recommended books online, or download the PDF.

Syllabus — Descriptive Statistics & Process Control

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BBT056 · 3 credits · L-T-P 3-0-0

Course Objectives

To teach and demonstrate the representation of numerical data.

To develop understanding different and concept of probability, Binomial distribution and testing of significance.

Understand the Correlation and Regression analysis.

Concepts of Design of Experiments and statistical process control and capability analysis.

COURSE OUTCOMES (SIX): Upon completion of this course, the students will be able to:

CO1Diagrammatic and graphical representation of numerical data.
CO2Analyze Data Dispersion.
CO3Apply concept of probability, binomial distribution and other statistical tools in solving complex scientific problems.
CO4Understand the regression analysis.
CO5Design the experiment using statistical methods.
CO6Explain statistical process control and capability analysis.

CO-PO MAPPING (1 TO 3 SCALE)

CO/POPO-1PO-2PO-3PO-4 PO-5 PO-6 PO-7 PO-8 PO-9 PO- 10 PO- 11 PO- 12
CO-13212
CO-2312
CO-33232
CO-43212
CO-532
CO-63232

Reference Books

  1. C. Montgomery Douglas (1994) Applied Statistics and Probability for Engineers, 4th Edition.
  2. C. Montgomery Douglas (2013) Statistical Quality Control, 7th Edition.
  3. G. W. Snedecor & W.G. Chochran (1989) Statistical Methods.
  4. T. T. Soong (2004) Fundamentals of Probability and Statistics for Engineers.
COURSE DETAILS: DESCRIPTIVE STATISTICS & PROCESS CONTROL
UnitContentContact Hours
IDescriptive Statistics: Diagrammatic and graphical representation of numerical data, Formation of frequency distribution, histogram, cumulative frequency distribution, polygon and O-give curve, measures of central tendencies – mean, median, mode. Measures of dispersion: mean deviation, standard deviation, variance, quartile deviation and coefficient variance, Moments (up to 4th), Measures of skewness and kurtosis for grouped and ungrouped data.8
IIProbability & Hypothesis Testing: Concept of Probability – Classical definition, Basic theorems of probability, Types of probability, Conditional probability, Theorem of total probability, Normal Distribution, The Central Limit Theorem, Binomial distribution, Poisson’s Distribution, The Poisson’s approximation to the Binomial Distribution. Testing of significance, large sample test for population mean and proportions, Test of population means-single, two samples, and paired t-test, chi square test. ANOVA.9
IIICorrelation and Regression analysis: Product moment and rank, correlation coefficient, simple regression, method of least squares for estimation of regression coefficients, concept of sampling and sampling distribution, sampling from nominal distribution, standard error.6
IVDesign of Experiments (DOE): Design of Experiments (DOE) approach to optimization - traditional (linear) approach (OFAT) and multi-dimensional approach (Box-Bhenken Design, central composite design, Plackett-Burman Design, Downhill Method, Full factorial, Fractional factorial design).8
VControl Charts: Introduction to statistical process control and capability analysis: Chance and assignable cause of quality variation, Statistical basis of process monitoring: control chart, choice of control charts, analysis of control chart, variable of control charts, X bar and R chart, Attribute control chart, Determining process and measurement capability.7

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