Course Overview
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Course Synopsis
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Starting with the basic concepts of data and its types, the course Sta301 introduces the various methods and procedures of collecting, organizing, summarizing, presenting and analyzing the data. The regression and correlation analysis is used to evaluate the relationship between two or more variables.
The second portion of the course focuses on the probability theory. From the basic probability rules to the construction of all the well-known probability distributions like binomial, hypergeometric, uniform and normal distributions are discussed in this part.
The course will finally introduce the inferential statistics which is further divided into estimation and hypothesis testing. It deals with the drawing of conclusions about various phenomena on the basis of real data collected on sample basis. The use of appropriate methods like Z-test, T-test, F-test, Chi-square test and ANOVA are explained with examples.
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Course Learning Outcomes
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At the end of the course, you should be able to understand:
- Different meanings of statistics and data types
- A variety of methods for collecting, presenting and summarizing data
- Methodologies for regression and correlation analysis for future perditions
- Basic concepts and rules of probability along with important probability distributions
- Sampling concept, its types and techniques
- Estimating and hypothesis testing using main distributions
- Usage of Analysis-of-variance and experimental design
- Fundamental level of skills for basic statistical computing using Calculator / Excel / Math type etc.
- How to communicate to others the importance and relevance of statistics in the modern world
- How to be an independent learner, able to acquire further knowledge with little guidance or support.
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Course Calendar
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Week 01
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2
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Types of Data and Sampling
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3
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Graphical Representation of Data
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Week 02
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4
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Construction of Frequency Distribution
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5
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Types of Frequency Curves
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6
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Stem and Leaf Plot and Introduction to Measures of Central Tendency
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Week 03
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7
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Arithmetic Mean, Weighted Mean and Median
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8
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Empirical relation (mean, median and the mode) and Quantiles
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9
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Geometric mean, Harmonic mean & relationship between them
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Quiz 1
Week 04
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10
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Measures of Dispersion
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11
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Mean Deviation,Standard Deviation and Variance & Coefficient of variation
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12
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Chebychev’s Inequality,The Empirical Rule & The Five-Number Summary
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Week 05
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13
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Box and Whisker Plot,Pearson’s Coefficient of Skewness
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Assignment 1
Week 06
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16
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Set Theory,Counting Rules
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17
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Permutations,Combinations
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18
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Definitions of Probability
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Quiz 2
Week 07
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19
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Relative Frequency, Axiomatic Definition & Laws of Probability
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20
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Application of Addition Theorem,Conditional Probability & Multiplication Theorem
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21
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Independent and Dependent Events,Multiplication Theorem & Marginal Probability
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Week 08
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22
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Bayes’ Theorem,Discrete Random Variable
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Mid Term
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23
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Graphical Representation of the Distribution Function of a Discrete Random Variable
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24
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Chebychev’s Inequality & Concept of Continuous Probability Distribution
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Week 09
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25
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Continuous Probability Distribution ,Bivariate Probability Distribution
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26
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Distributions BIVARIATE Probability ,Properties of Expected Values in the case of Bivariat
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27
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Properties of Expected Values,Covariance & Correlation& Discrete Probability Distributions
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Week 10
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28
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Binomial Distribution,Introduction to the Hypergeometric Distribution
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29
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Hypergeometric Distribution ,Poisson Distribution & Continuous Uniform Distribution
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Quiz 3
Week 11
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31
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Sampling Distribution ,Central Limit Theorem
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32
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Sampling Distributions
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33
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Sampling Distribution ,Point Estimation & Desirable Qualities of a Good Point Estimator
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Week 12
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34
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Qualities of a Good Point Estimator,Methods of Point Estimation & Interval Estimation
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Assignment 2
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36
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Large Sample Confidence Intervals,Determination of Sample Size & Hypothesis-Testing
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Week 13
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37
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Hypothesis-Testing(continued)
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38
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Hypothesis-Testingreg regarding μ1-μ2 & P (based on Z-statistic
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39
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Hypothesis Testing Regarding p1-p2 & The Student’s t-distribution
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Week 14
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40
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Tests and Confidence Intervals based on the t-distribution
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41
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Hypothesis-Testing regarding Two Population Means & The Chi-square Distribution
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42
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The F-Distribution &Hypothesis Testing and Interval Estimation
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Week 15
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43
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Analysis of Variance & Experimental Design
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44
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Randomized Complete Block Design ,(LSD) Test & Chi-Square Test of Goodness of Fit
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45
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Chi-Square Test, p-value & Latest Definition of Statistics
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Final Term
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