Statistical Inference

 Course Perspective:

This course provides an introduction to the basic principles and methods of statistical estimation, model fitting and hypothesis testing.

Learning Strategies:

Lectured activity; Solving Assignments; Term presentations, Quizes .Class tests, Learning from industry experience through guest lecturers.

          Tentative Teaching Schedule

Course Schedule
Week Module Intended Learning Outcomes
    At the end of this week, the students will be able to explain:
1 -PROBABILITY-I:INTRODUCTORY IDEAS

(Statistics for Management) (Chap#4)

 

-PROBABILITY

(Introduction to Statistical Theory Part-I)

(Chap# 6)

·  Learn the basic concepts and terminologies of probability and vital role of probability in the field of business.

· Random Experiment, Random Variables.

· Discrete and continuous random variables

·  Introduction to Probability and Basic terminologies, Sets

·  student solve many problems encounter in their

major field of study.

 

2 -PROBABILITY-I: INTRODUCTORY IDEAS

(Statistics for Management) (Chap#4)

 

-PROBABILITY

(Introduction to Statistical Theory Part-I)

(Chap# 6)

·     Axioms of Probability, Rules of counting.

·         Basic laws o probability with proofs.

·         Addition and Multiplication Laws of probability and their application in different field of life, especially in business education.

 

 

 

(ASSIGNMENT+QUIZES)

 

3 -PROBABILITY DISTRIBUTIONS

(Statistics for Management)  (Chap#5)

 

-RANDOM VARIABLES

(Introduction to statistical theory part-I) (Chap#7)

· Conditional Probability, discrete and continuous random variables

· Mathematical expectation and its properties.

·  Marginal and Conditional distributions.

·  Prerequisite about the advanced probability.

·  Learn how to calculate the mean, variance and

other statistical tool of the distribution by using the

expectations.

4 -PROBABILITY DISTRIBUTIONS

(Statistics for Management) (Chap#5)

 

-DISCRETE PROBABILITY DISTRIBUTIONS

(Introduction to statistical theory Part-I) (Chap#8)

· Introduction to Discrete Probability distributions.

· Binomial distributions and its applications in different

field of life, especially in business education.

·  Fitting of the Binomial distribution.

·  Learn how to calculate the probability of the events dealing with binomial distribution.

(ASSIGNNMENT+ QUIZES)

5 -PROBABILITY DISTRIBUTIONS

(Statistics for Management) (Chap#5)

 

-DISCRETE PROBABILITY DISTRIBUTIONS

(Introduction to statistical theory Part-I) (Chap#8)

· Introduction to Poison distribution

· Poison distribution and its application in different field of life, especially in business education.

·  Fitting of the Poison distribution.

·  Learn how to calculate the probability of the events dealing with Poison distribution.

6 -PROBABILITY DISTRIBUTIONS

(Statistics for Management) (Chap#5)

 

-CONTINUOUS PROBABILITY DISTRIBUTIONS

(Introduction to statistical theory Part-I) (Chap#9)

·  Introduction to continuous distributions, especially, about Normal distribution

·   Normal distribution and its application in different field of life, especially in business education.

·  Fitting of the normal distribution.

·   Learn how to calculate the probability of the events dealing with Normal distribution.

(ASSIGNMENT+QUIZES)

7 -SAMPLING AND SAMPLING DISTRIBUTIONS

(Statistics for Management) (Chap #6)

 

-SURVEY SAMPLING AND SAMPLING DISTRIBUTIONS.

(Introduction to statistical theory Part-II)

(Chap # 14)

·  Basic concepts, terminology and types of Sampling Theory, Sampling and non-sampling Errors.

·  Sampling Distribution of Sample means (with   Replacement)

·  Sampling Distribution of Sample means ( without  Replacement)

·  Learn how to construct the sampling distribution of a statistic (sample mean, sample proportion, difference between two means etc.)

 

8 -SAMPLING AND SAMPLING DISTRIBUTIONS

(Statistics for Management) (Chap #6)

 

-SURVEY SAMPLING AND SAMPLING DISTRIBUTIONS.

(Introduction to statistical theory Part-II)

(Chap # 14)

·  Sampling distribution of Sample Proportions (with Replacement)

·  Sampling distribution of Sample Proportions (without Replacement)

·  Sampling distribution of difference between two means (with & without Replacement)

(ASSIGNMENT+QUIZES)

Mid-semester Examination

 

9 -TESTING OF HYPOTHESES : ONE SAMPLE TESTS

(Statistics for Management) (Chap #8)

 

-STATISTICAL INFERENCE: HYPOTHESIS TESTING

(Introduction to statistical theory Part-II)

(Chap # 16)

 

 

 

 

·   Introduction and Basic Concepts of Statistical Inference.

·   Null and Alternative hypothesis, Significance level, Test Statistics.

·   Acceptance and Rejection Regions, P-value, Directional and Non directional test.

·   Learn how to the test the hypothesis about a population parameters under some uncertainty.

10 -TESTING OF HYPOTHESES : ONE SAMPLE   TESTS & TWO SAMPLE TESTS

(Statistics for Management) (Chap #7, 8 & 9)

 

-STATISTICAL INFERENCE: HYPOTHESIS  TESTING

(Introduction to statistical theory Part-II)

(Chap # 15 & 16)

·   Testing of Hypothesis and interval estimation concerning population mean.(For large sample)

·   Testing of Hypothesis and interval estimation concerning population mean.(For small sample)

·     Testing of hypothesis and C.I about difference between two means. (for large sample)

·     Learn how to the test the hypothesis about a population parameters under some uncertainty.

(ASSIGNMENT+QUIZES)

 

 

 

11 -TESTING OF HYPOTHESES : ONE SAMPLE TESTS & TWO SAMPLE TESTS

(Statistics for Management) (Chap # 7, 8 & 9)

 

-STATISTICAL INFERENCE: HYPOTHESIS TESTING

(Introduction to statistical theory Part-II)

(Chap #15 & 16)

 

·   Testing of hypothesis and C.I about difference between two means. (for small sample)

·   Testing of Hypothesis and C.I for population proportion.

·     Testing of Hypothesis and C.I for difference between two population proportions.

·     Learn how to the test the hypothesis about a population parameters under some uncertainty.

(ASSIGNMENT+QUIZES)

12 -SIMPLE REGRESSION AND CORRELATION

(Statistics for Management) (Chap #12)

 

-SIMPLE REGRESSION AND CORRELATION

(Introduction to statistical theory Part-I)

(Chap # 10)

 

 

·   Functional relationship among Variables, Exact and Statistical relations among variables, Scatter Diagram.

·   Estimation and Interpretation of regression coefficients in simple linear regression.

·  Properties of SLR line, Prediction in SLR, Coefficient of Determination.

·  Capable to predict the values by using these regression models.

13 -SIMPLE REGRESSION AND CORRELATION

(Statistics for Management) (Chap #12)

-STATISTICAL INFERENCE IN REGRESSION AND CORRELATION

(Introduction to statistical theory Part-II)

(Chap # 21)

·   Testing of hypothesis about regression Coefficients.

·   Testing of Hypothesis about regression coefficients.

·   Introduction to Polynomial Regression.

·  Learn how to test the regression coefficients and their interpretation in their major field of study.

(ASSIGNMENT+QUIZES)

14 -MULTIPLE REGRESSION AND MODELING

(Statistics for Management) (Chap #13)

 

-MULTIPLE REGRESSION AND CORRELATION

(Introduction to statistical theory Part-I)

(Chap # 11)

·   Multiple Linear regression, Estimation and interpretation of regression coefficients in MLR.

·   Prediction in MLR, Coefficient of Determination and its interpretation in MLR.

·  Learn how to test the regression coefficients and their interpretation in their major field of study.

(ASSIGNMENT+QUIZES)

15 -SIMPLE REGRESSION AND CORRELATION

(Statistics for Management) (Chap #12)

 

-SIMPLE REGRESSION AND CORRELATION

(Introduction to statistical theory Part-I & II)

(Chap # 10 & 21)

 

·     Introduction to Correlation.

·   Calculation and interpretation of Simple Linear Correlation.

·   Testing of hypothesis about population correlation coefficients

·   Calculation and interpretation of Partial Correlation.

·   Calculation and interpretation of multiple correlations.

(ASSIGNMENT+QUIZES)

16 -CHI-SQUARE AND ANALYSIS OF VARIANCE

(Statistics for Management) (Chap #11)

-THE CHI-SQUARE DISTRIBUTION AND

STATISTICAL INFERENCE.

-THE ANALYSIS OF VARIANCE.

(Introduction to statistical theory Part-II)

(Chap # 17 & 20)

·   Introduction to Analysis of Variances.

·   One way & two ways ANOVA.

·   Introduction to Contingency Table.

·   Testing of Hypothesis about independence in contingency table (Association in Attributes).

(ASSIGNMETN+QUIZES)

End-semester examination

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