Department: MBA
Subject: QUANTITATIVE TECHNIQUES FOR BUSINESS DECISIONS
Teacher:Mrs. V. NAGA LAKSHMI Academic Year:2020-21 Year/Semester: I--I
Course
Outcomes:
|
DESCRIPTION |
Bloom’s Level |
|
|
At
the end of this course the student will able to: |
||
|
CO1 |
·
Apply quantitative methods to analyse social science data
and to understand other people’s use of these methods |
Factual, Conceptual & Applied |
|
CO2 |
·
knowledge of
various types of data, their organisation and evaluation of summary measures
such as measures of central tendency and dispersion etc., learn the notion of
conditional probability including the concept of Bayes’ Theorem |
Factual, Conceptual & Applied |
|
CO3 |
To comprehend the decision making
process under uncertainty using statistical tools |
Factual, Conceptual & Applied |
|
CO4 |
To understand the meaning and process
of hypothesis testing including one-sample and two-sample tests |
Factual, Conceptual & Applied |
|
CO5 |
To appreciate the importance and
application of non-parametric tests in hypothesis testing. |
Factual, Conceptual & Applied |
Text book References:
Text book -1:“Quantitative
Techniques” , Dr. C. Satya Devi, S.Chand
Text book-2: Complex
Variables & Statistical Methods, Dr.T.V.Itengar, Dr. B. Krishan Gandhi, S.
Ranganatham, Dr. MVSSN. Prasad, S.Chand
Text book-3:“Probability
& Statistics” , K.Murugesan, P.Guru Swamy, S.Chand
Text book-4:“Operations
Research”, Kanthi Swarup, PK. Gupta, ManMohan, S.Chand
Text book-5:“Mathematical
Foundations of Computer Science” Dr.DSC, Prism
Text book-6:“Probability & Statistics”, William Mendenhall,
Rober,J, Beaver, Barbara M Beaver, Cengage Learning
Contents/Activities:
1
|
Factual:Factual knowledge consistbasic information about a particular subject or
discipline that students must be acquainted with. This may include the
terminology and the specific details or elements of a subject
|
·
Basic Mathematical & Statistical
Techniques, Linear, Quadratic, Logarithmic and Exponential Functions,
Permutations and Combinations, Matrices - Elementary operations of matrices
(Unit-1) ·
Measures of Central Tendency –
Measures of Dispersion –Simple Correlation and Regression Analysis, Concept
of Probability (Unit-2) ·
Introduction to Decision Theory
(Unit-3) ·
Sampling and Sampling Distributions –
Estimation – Point and Interval Estimates of Averages, and proportions of
small and Large Samples (Unit-4) ·
Tests Two Samples –Tests of Difference between Mean and Proportions of Small and
Large Samples – Chi- square Test of Independence and Goodness of Fitness-
Analysis of Variance (Unit-5) |
2
|
Conceptual: Conceptual knowledge consists of knowledge of,
or understanding of concepts, principles, theories, models,
classifications, etc. We learn conceptual knowledge through
reading, viewing, listening, experiencing, or thoughtful, reflective mental
activity.
|
·
Probability Rules – Joint and Marginal
Probability – Baye‘s Theorem (Unit-2) ·
Different environments in which
decisions are made, Criteria for Decision Making (Unit-3) Concepts of Testing Hypothesis (Unit-4) |
3
|
Procedural: Procedural knowledge is the knowledge exercised in
the performance of some task.
|
·
Probability Distributions- Binomial,
Poisson, Normal and Exponential Probability Distributions(Unit-2) ·
Steps involved in Decision Making,
Decision making under uncertainty, Decision making under conditions of
Risk-Utility as a decision criterion, Decision trees, Graphic displays of the
decision making process, Decision making with an active opponent (Unit-3) ·
One Sample Test for Testing Mean and
Proportion of Large and Small Samples(Unit-4) ·
Tests Two Samples –Tests of Difference between Mean and Proportions of Small and
Large Samples – Chi- square Test of Independence and Goodness of Fitness-
Analysis of Variance (Unit-5) |
4
|
Applied: Applied
knowledge is learning that is used in various situations and contexts.
|
·
Linear, Quadratic, Logarithmic and
Exponential Functions, Permutations and Combinations (Unit-1) ·
Measures of Central Tendency –
Measures of Dispersion –Simple Correlation and Regression Analysis(Unit-2) ·
Decision making under uncertainty,
Decision making under conditions of Risk-Utility as a decision criterion, Decision
trees, Graphic displays of the decision making process (Unit-3) ·
Sampling and Sampling Distributions –
Estimation – Point and Interval Estimates of Averagesand proportions of small
and Large Samples, One Sample Test for Testing Mean and Proportion of Large
and Small Samples (Unit-4) ·
Tests Two Samples –Tests of Difference between Mean and Proportions of Small and
Large Samples – Chi- square Test of Independence and Goodness of Fitness-
Analysis of Variance (Unit-5) |
Schedule and Sequence:
Day
|
Topic
|
Objectives
|
Before Class-Videos,
e-Books, Case Studies
|
In-Class-Activities,Quiz
|
Post-Class-Assignment,
Discussion Forum
|
1
|
UNIT-1 Basic
Mathematical & Statistical Techniques |
Learn to apply functions, permutations,
combinations and matrices in real life business examples
|
·
Refer
the Text book – T1 Page No: 532-574 * Handout |
·
Lecture
on Basic Mathematical & Statistical Techniques |
Review
on the topic |
2
|
LinearFunctions |
·
Refer
the Text book -T1 ·
Page
No: 532-574 * Handout |
·
PracticeLinear
Functions |
Review on the topic |
|
3
|
Quadratic
Functions |
·
Refer
the Text book -T1 Page No: 532-574 * Handout |
·
PracticeQuadratic
Functions |
Review on the topic |
|
4
|
Logarithmic
Functions |
·
Refer
the Text book -T1 Page No: 532-574 * Handout |
·
PracticeLogarithmic
Functions |
Review on the topic |
|
5
|
Exponential
Functions |
·
Refer
the Text book -T1 Page No: 532-574 * Handout |
·
Practice
Exponential Functions |
Review on the topic |
|
6
|
Problems
for practice |
·
Refer
the Text book -T1 Page No: 532-574 * Handout |
·
Practice
function problems |
Review on the topic |
|
7
|
Permutations |
·
Refer
the Text book -T5 Page No: 346-351 * Handout |
·
Practice
permutations |
Review on the topic |
|
8
|
Problems
for practice |
·
Refer
the Text book -T5 Page No: 346-351 * Handout |
·
Practice
problems on permutations |
Review on the topic |
|
9
|
Combinations |
·
Refer
the Text book -T5 Page No: 353-360 * Handout |
·
Practice
combinations problems |
Review
on the topic |
|
10
|
Problems
for practice |
·
Refer
the Text book -T5 Page No: 353-360 * Handout |
·
Practice
combinations problems |
Review
on the topic |
|
11
|
Matrices
- Elementary operations of matrices |
·
Refer
the Text book -T1 Page No: 470-500 * Handout |
·
Practice
problems on matrices: its elementary operations |
Review
on the topic |
|
12
|
Problems
for practice |
·
Refer
the Text book -T1 Page No: 470-500 ·
* Handout |
·
Practice
matrices problems on Cramer’s Rule |
Review
on the topic |
|
13
|
Problems
for practice |
·
Refer
the Text book -T1 Page No: 470-500 ·
* Handout |
·
Practice
matrices problems on Matrix Inversion Method |
Review
on the topic |
|
14
|
UNIT -2Measures
of Central Tendency |
Analyze statistical data using measures of central
tendency, dispersion and location and
Identify the type of statistical situation to which different distributions
can be applied
|
·
Refer
the Text book -T1 Page No: 100-172 * Handout |
·
Practice
problems on Central Tendency: mean, median, mode |
Review
on the topic |
15
|
Problems
for practice |
·
Refer
the Text book -T1 Page No: 100-172 * Handout |
·
Practice
problems on Central Tendency: mean, median, mode |
Review
on the topic |
|
16
|
Problems
for practice |
·
Refer
the Text book -T1 Page No: 100-172 * Handout |
·
Practice
problems on Central Tendency: mean, median, mode |
Review
on the topic |
|
17
|
Measures
of Dispersion |
·
Refer
the Text book -T1 Page No: 173-215 * Handout |
·
Practice
problems on standard deviation, mean deviation, range |
Review
on the topic |
|
18
|
Problems for
practice |
·
Refer
the Text book -1 Page No: 173-215 * Handout |
·
Practice
problems on standard deviation, mean deviation, range |
Review
on the topic |
|
19
|
Problems for
practice |
·
Refer
the Text book -1 Page No: 173-215 * Handout |
·
Practice
problems on standard deviation, mean deviation, range |
Review
on the topic |
|
20
|
Simple
Correlation |
·
Refer the Text book -1 Page No: 245-271 * Handout |
·
Practice
problems on correlation |
Review
on the topic |
|
21
|
Problems
for practice |
·
Refer the Text book -1 Page No: 245-271 * Handout |
· Practice problems on correlation |
Review
on the topic |
|
22
|
Problems
for practice |
·
Refer the Text book -1 Page No: 245-271 * Handout |
· Practice problems on correlation |
Review
on the topic |
|
23
|
Regression
Analysis |
·
Refer the Text book -1 Page No: 245-271 * Handout |
·
Practice
problems on regression analysis X on Y and Y on X |
|
|
24
|
Problems
for practice |
·
Refer the Text book -1 Page No: 282-296 * Handout |
·
Practice
problems on regression analysis X on Y and Y on X |
|
|
25
|
Problems
for practice |
·
Refer the Text book -1 Page No: 282-296 * Handout |
·
Practice
problems on regression analysis X on Y and Y on X |
|
|
26
|
Concept
of Probability- Probability Rules – Joint and Marginal Probability |
·
Refer the Text book -1 Page No: 615-628 * Handout |
·
Discuss
the concepts of probability to be familiar with the terms |
|
|
27
|
Baye‘s
Theorem |
·
Refer the Text book -1 Page No: 638-643 * Handout |
·
Practice
theorem on Baye’s theorem |
|
|
28
|
Problems
for practice |
·
Refer the Text book -1 Page No: 638-643 * Handout |
·
Practice
problems relating to Baye’s theorem |
|
|
29
|
Probability
Distributions- |
·
Refer the Text book -3 Page No: 4.1 * Handout |
·
Practice
problems relating to probability distributions |
|
|
30
|
Binomial
Distributions |
·
Refer the Text book -3 Page No: 4.1-4.16 * Handout |
·
Practice
problems relating to binomial distribution by using formulas |
|
|
31
|
Problems
for practice |
·
Refer the Text book -3 Page No: 4.1-4.16 * Handout |
·
Practice
problems relating to binomial distribution by using formulas |
|
|
32
|
Poisson
Distributions |
·
Refer the Text book -3 Page No: 4.17-4.29 * Handout |
·
Practice
problems relating to Poisson distribution by using formulas |
|
|
33
|
Problems
for practice |
·
Refer the Text book -3 Page No: 4.17-4.29 * Handout |
·
Practice
problems relating to Poisson distribution by using formulas |
|
|
34
|
NormalDistributions |
·
Refer the Text book -3 Page No: 4.30-4.48 * Handout |
·
Practice
problems relating to Normal distribution by using formulas |
|
|
35
|
Problems
for practice |
·
Refer the Text book -3 Page No: 4.30-4.48 * Handout |
·
Practice
problems relating to Normal distribution by using formulas |
|
|
36
|
Exponential
ProbabilityDistributions |
·
Refer the Text book -3 Page No: 4.30-4.48 * Handout |
·
Practice
problems relating to Exponential distribution by using formulas |
|
|
37
|
Problems
for practice |
·
Refer the Text book -3 Page No: 4.30-4.48 * Handout |
·
Practice
problems relating to Exponential distribution by using formulas |
|
|
38
|
UNIT
– 3 Introduction
to Decision Theory |
Explore how
problem solving and decision making interrelate and offering techniques for
methodically evaluating decisions
|
·
Refer the Text book -4 Page No:415-418 * Handout |
·
Discuss
the topics relating to decision theory |
|
39
|
Steps
involved in Decision Making, different environments in which decisions are
made |
·
Refer the Text book -4 Page No: 415-418 * Handout |
·
Discuss
the steps involved in decision making in different environments |
|
|
40
|
Criteria for Decision
Making, Decision making under uncertainty
|
·
Refer the Text book -4 Page No: 415-418 * Handout |
· Practice problems relating to decision
making under uncertainty |
Review
on the topic |
|
41
|
Decision making under conditions
of Risk-Utility as a decision criterion
|
·
Refer the Text book -4 Page No: 415-418 * Handout |
· Practiceproblems relating to decision
making under risk |
Review
on the topic |
|
42
|
Problems for practice
|
·
Refer the Text book -4 Page No:415-418 * Handout |
· Practiceproblems relating to decision
making under risk |
Review
on the topic |
|
43
|
Problems
for practice |
·
Refer the Text book -4 Page No: 415-418 *
Handout |
· Practiceproblems relating to decision
making under risk |
Review
on the topic |
|
44
|
Decision
trees
|
·
Refer the Text book -4 Page No: 418-423 * Handout |
· Practice problems relating to decision
trees and steps to construct decision trees |
Review
on the topic |
|
45
|
Problems for practice
|
·
Refer the Text book -4 Page No: 418-423 * Handout |
· Practiceproblems relating to decision
trees and steps to construct decision trees |
Review
on the topic |
|
46
|
Graphic
displays of the decision making process |
·
Refer the Text book -4 Page No: 423-430 * Handout |
· Practice problems relating to graphic
displays in decision making process |
Review
on the topic |
|
47
|
Problems for practice
|
·
Refer the Text book -4 Page No: 423-430 * Handout |
· Practiceproblems relating to graphic
displays in decision making process |
Review
on the topic |
|
48
|
Problems for practice
|
·
Refer the Text book -4 Page No: 423-430 * Handout |
· Practiceproblems relating to graphic
displays in decision making process |
Review
on the topic |
|
49-52
|
Student
Presentations
|
Mid 1 Assessment
|
·
Preparation of
Mini Report by the Student on the given topic |
Minimum 10 Minutes Presentation by each student |
Improving
presentation skills basing on faculty recommendations |
53
|
Decision making with an active
opponent
|
|
·
Refer the Text book -4 Page No: 430-435 * Handout |
· Practice problems relating to decision
making with an active opponent |
Review
on the topic |
54
|
UNIT – 4Sampling and Sampling Distributions – Estimation –
Point and Interval
|
Translate real-world problems
into probability models, Derive the
probability density function of transformation of random variables Calculate
probabilities, and derive the marginal and conditional distributions of
bivariate random variables and understand the hypothesis testing
|
·
Refer the Text book -2 Page No: 428-440 * Handout |
· Practice problem relating to
sampling distributions |
Review
on the topic |
55
|
Estimates of
Averages and proportions of small and Large Samples |
·
Refer the Text book -2 Page No: 465-475 * Handout |
· Practice problems relating to proportions
and averages of small & large samples |
Review
on the topic |
|
56
|
Proportions of
small Samples |
·
Refer the Text book - 2 Page No: 370-378 * Handout |
· Practice problems on proportion of small
samples |
Review
on the topic |
|
57
|
Problems
for practice |
·
Refer the Text book –2 Page No: 370-378 * Handout
|
Practiceproblems on proportion of small samples |
Review
on the topic |
|
58
|
Problems
for practice |
·
Refer the Text book -2 Page No: 370-378 * Handout |
Practiceproblems on proportion of small samples |
Review
on the topic |
|
59
|
Proportions
of Large Sample |
·
Refer the Text book - 2 Page No: 477-491 * Handout |
· Practiceproblems on proportion of large
samples |
Review
on the topic |
|
60
|
Problems for practice
|
·
Refer the Text book -2 Page No: 477-491 * Handout |
· Practiceproblems on proportion of large
samples |
Review
on the topic |
|
61
|
Problems for practice
|
·
Refer the Text book -2 Page No: 477-491 * Handout |
· Practiceproblems on proportion of large
samples |
Review
on the topic |
|
62
|
UNIT-5:Tests
of Difference between Mean of Small Samples |
Learn parametric and nonparametric test such as the
Chi-Square test for Independence as well as Goodness of Fit
|
·
Refer the Text book -2 Page No: 500-504 * Handout |
· Practice problems on difference between
mean of small samples |
Review
on the topic |
63
|
Problems for practice |
·
Refer the Text book -2 Page No: 500-504 * Handout |
· Practiceproblems on difference between
mean of small samples |
Review
on the topic |
|
64
|
Tests of Difference between Mean
of Large Samples
|
·
Refer the Text book -2 Page No: 508-532 * Handout |
· Practiceproblems on difference between
mean of large samples |
Review
on the topic |
|
65
|
Problems for practice
|
·
Refer the Text book -2 Page No: 508-532 * Handout |
· Practiceproblems on difference between
mean of large samples |
Review
on the topic |
|
66
|
Tests of Difference between
Proportions of Small Samples
|
·
Refer the Text book -2 Page No: 580-613 * Handout |
· Practiceproblems on difference between proportions
of small samples |
Review
on the topic |
|
67
|
Problems for practice
|
·
Refer the Text book -2 Page No: 580-613 * Handout |
· Practiceproblems on difference between
proportions of small samples |
Review
on the topic |
|
68
|
Tests of Difference between Proportions
of Large Samples
|
·
Refer the Text book -2 Page No: 533-578 * Handout |
·
Practiceproblems
on difference between proportions of large samples |
Review
on the topic |
|
69
|
Problems for practice
|
·
Refer the Text book -2 Page No: 533-578 * Handout |
·
Practiceproblems
on difference between proportions of large samples |
Review
on the topic |
|
70
|
Chi- square Test of Independence
|
·
Refer the Text book -2 Page No: 631-653 * Handout |
· Practiceproblems on chi-square test |
Review
on the topic |
|
71
|
Problems for practice
|
·
Refer the Text book -2 Page No: 631-653 * Handout |
· Practiceproblems on chi-square test |
Review
on the topic |
|
72
|
Goodness of
Fitness
|
·
Refer the Text book -2 Page No: 631-653 * Handout |
Practice problems on chi-square test |
Review
on the topic |
|
73
|
Problems for
practice
|
·
Refer the Text book -2 ·
Refer the Text book -2 Page No: 631-653 * HandoutNo: 631-653 * Handout |
Practice problems on chi-square test |
Review
on the topic |
|
74
|
Analysis of
Variance – One way
|
·
Refer the Text book -6 Page No: 460-489 * Handout |
Practice problems on chi-square test |
Review
on the topic |
|
75
|
Analysis of
Variance-one way
|
·
Refer the Text book -6 Page No: 460-489 * Handout |
Practice problems on chi-square test |
Review
on the topic |
|
76
|
Analysis of Variance-Two
way
|
·
Refer the Text book -6 Page No: 460-489 * Handout |
Practice problems on chi-square test |
Review
on the topic |
|
77
|
Analysis of
Variance-Two Way
|
·
Refer the Text book -6 Page No: 460-489 * Handout |
Practice problems on chi-square test |
Review
on the topic |
|
78-80
|
Student
Presentations
|
Mid 2 Assessment
|
·
Preparation of
Mini Report by the Student on the given topic |
|
Improving
presentation skills basing on faculty recommendations |
Evaluation:
·
Mini Report:5Marks
for Mid 1 & Mid 2 Separately.
·
Presentation:5Marks
for Mid 1 & Mid 2 Separately.
·
Descriptive
Exam: 15Marks for Mid 1 & Mid 2 Separately
·
Total
Mid marks 30 Marks: Average of Mid 1 & Mid 2
SIGNATURE OF FACULTY SIGNATURE OF HOD
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.