Introduction to Statistics and Probability

‌Course overview

This course provides an elementary introduction to the statistics and  probability and their applications in running statistical analysis through both manual means and software, followed by interpretation of analysis results which lead to decision making in practical case and example. It is intended for undergraduate students in science and  Geoscience.  The course aimed to apply probability theory to gain insight into real, everyday statistical problems and situations.

Course Objectives

The objectives of this course can be summarized as:

• to study elementary concepts and techniques in probability and statistics;

• to formalise knowledge of the theory of probability and random variables;

• to introduce new techniques for carrying out probability calculations and identifying probability distributions;

• to motivate the use of statistical inference in practical data analysis.

By the end of this course, it is accepted that student:

• • Know the concepts and  principles of basic statistics;

  • Understand the need for data collection and summarize data sets into meaningful information;

  • Execute appropriate statistical procedures and write sound interpretations for use in practical decision –making. 

Prerequisites

• Mathematical skills;

• Information and knowledge in applied sciences.

Tentative Course Outline

1. Introduction to the course

2. Data Analysis

3. Probability

4. Discrete Random Variable - I

5. Discrete Random Variable - II

6. Continuous Distributions

7.        Standard Normal Distribution Table

8. Sampling Techniques

9. Sampling Distributions

10. Hypothesis Testing

11. Correlation and Regression – I

12. Correlation and Regression – II

Assignments and Grading

• Students will be responsible for information covered in the assigned readings and materials covered during lectures.

• Additional information and handouts will be provided about each assignment as necessary. Grades are going to be based on the department policy of the academic year 2016-2017.

Learning Outcomes

By the end of this course, it is accepted that student:

• Know the concepts and  principles of basic statistics;

• Understand the need for data collection and summarize data sets into meaningful information;

• Execute appropriate statistical procedures and write sound interpretations for use in practical decision-making.

Text book and References

• Davis, John C. (2002). Statistical Data Analysis. Oxford Science Publications,  Clarendon Press.

• Montgomery, D. C., & Runger, G. C. (2011). Applied statistics and probability for engineers (5th ed.). Hoboken, NJ: Wiley.

• Ross, S. M. (2009). Introduction to probability and statistics for engineers and scientists (4th ed.). Amsterdam; Boston: Academic Press/Elsevier.

• Suhov, Y. M., & Kelbert, M. (2005). Probability and statistics by example. Cambridge, UK ; New York: Cambridge University Press.