Syllabus for MATH 2500
Text
Statistics - Principles & Methods, R. Johnson and G. Bhattachryya, 7th edition
Mandatory Topics
1 — Introduction
Overview Only - 2 days
2 - Organization & Description of Data
2.1 - Main Types of Data
2.2 - Tables and Graphs
2.3 - Measures of Center
2.4 - Measures of Variation
4-6 days
3 - Descriptive Bivariate Data
3.1 - Summarization
3.2 - A Designed Experiment
3.3 - Scatter Diagram
3.4 - Correlation Coefficient
3.5 - Prediction
4-6 days
4 - Probability
4.1 - Prob. of an Event
4.2 - Assigning Probabilities
4.3 - Event Relations
4.4 - Conditional Probablity
4.6 - Random Sampling
8days
5 - Distributions
5.1 - Random Variables
5.2 - Distribution of a Discrete R.V.
5.3 - Expectation and Standard Deviation
5.4 - Bernoulli Trials
5.5 - Binomial Distribution
8-10 days
6 - Normal Distribution
6.1 - Continuous R.V.
6.2 - Normal Distribution
6.3 - Standard Normal Dist.
6.4 - Probability Calculations
5-6 days
7 - Sampling Distributions
7.1 - Sampling Dist. of a Statistic
7.2 - Central Limit Theorem
4-5 days
8 - Inferences from Large Samples
8.1 - Estimation and Testing
8.2 - Point Estimation
8.3 - Confidence Interval
8.4 - Hypothesis Testing
8.5 - Inferences about Proportion
10-12 days
Optional Topics
Instructors may choose to cover some, but certainly not all, of the following sections.
4.5 - Bayes- Theorem - 2 days
5.6 - Poisson Distribution - 1 day
9 - Small Sample Inferences
9.1 - Student-s t distribution
9.2 - Inferences about -
9.3 - Tests & Confidence Intervals
9.4 - Inferences about -
5-6 days
6.5 - Normal Approx. to Binomial - 2 days
10 - Comparing Two Treatments
10.1 - Two Designs
10.2 - Difference of Means
10.3 - Inference from Small Samples
10.4 - Randomization
10.5 - Matched Pairs Comparisons
10.7 - Comparing Two Proportions
6-8 days