Statistics is the art and science of collecting and interpreting data.
This introductory 4cr course will covers the basics of descriptive statistics, sampling, estimation, correlation, regression and hypothesis testing. After completing this course, students will able to interpret data, identify trends and analyze patterns to solve business problems, design and analyze basic statistical studies, and understand and criticize statistical methods in journals and the media. Examples and methods are drawn from social and natural sciences, business, and public policy.
Textbook: Stats: Modeling the World, by Bock, Velleman, De Veaux
- Lynda Statistics Foundations 1 – videos
- Lynda Statistics Foundations 2 – videos
- Lunda Statistics Essential Training – with Excel
Topic, readings, videos, sample problems, HWs
1. Data, variable, samples and surveys (ch 1,2)
- Voice Statistics lessons at educator.com -selected topics
- Statistical questions – Khan academy
- Types of Data: Nominal, Ordinal, Interval/Ratio – Statistics Help
- TED:How i hacked online dating – application of statistics
- fivethirtyeight.com – Nate Silver blog
2. Describing and displaying data (ch 3-5)
- Textbook chapters : II.Graphing Distributions
- Patterns in data
- Dotplots
- Histograms
- Stemplots
- Cumulative plots
- Scatterplots
- Comparing data sets
- Frequency Distributions video
- Probability Density Functions video
- Representing Data –includes problems & solutions
- Statistical diagrams –read/watch this module
- Scatterplots in Excel, Regression part 1 – Statistics Help -optional
- Popular stats in graphs – from statists.com
- How to make Data Visual- video
- TED: Visualizing data – talk
- TED: The beauty of data visualization – David McCandless – talk
- Textbook chapter : III.Summarizing Distributions
- Standard deviation – business insider
- Central tendency – stat trek
- Variability – stat trek
- Statistics every writer should know – mean, median, mode, %
- Expected Value and Variance video
- Measures of central tendency – khan
- Box-and-whisker plots -khan
- Variance and standard deviation -khan
- Undestand standard deviation – video
3. Normal distribution (ch 6)
- Textbook chapters : VII. Normal Distribution, IX. Sampling Distribution + simulations in right hand side menu
- Position – skip z-score
- Normal distribution -khan, theory and problems
4. Correlation and regression line (ch7-8)
- Describing quantitative relationships– khan, watch all
- Spurious correlations – www.tylervigen.com
5. Gathering Data (ch 11-13)
- Designing studies & experiments – khan
- Sampling: Simple Random, Convenience, systematic, cluster, stratified – Stat Help
- Measurement Scales and Variables – video
- Overview of descriptive and inferential statistics -lynda.com
- John Oliver: Scientific studies – episode 2016
- http://www.randomnumbers.info
- https://www.random.org
6. Basic probability (ch 14-15)
- Probability – khan, many videos
- Voice lessons in Probability at Educator.com -many topics
- Bayes theorem explained
- Bayes’ Theorem -youtube
7. Probability models (ch 16-17)
- Random variables & models – khan
- Simulations of interesting problems in probability – birthday problem, coupon problem, and Banach’s matchbox problem.
- Simulation of the Monte Hall problem- should you switch doors?
8. Inferences from samples to population (ch18-19)
- Sampling distributions – khan
- How do Americans stand out? – example of inference
- Confidence intervals (one sample)– khan
9. Hypothesis testing (ch 20-22)
10. Inferences about means (ch 23-25)
11. Inferences when variables are related (ch 26-27)
Extra topics not currently covered in this course:
- Simpson’s paradox: an interactive data visualization from VUDlab at UC Berkeley.
- Investigate the effects of changing the standard deviation on the shape of the normal distribution.
- ECON104/MA121: Introduction to Statistics – Saylor
- www.statisticsveiw.com
- D. Huff, How to lie with statistics -pdf book
- Stats presentations of main topics for business and econ
- Mostly harmless econometrics – Book online
- Helpful open source text books:Mathematics & Statistics
- Khan academy Probability and Statistics video course
- Statisticbrain.com – search for and see data
- http://onlinestatbook.com/– online book
- Exam solutions – statistics – course in videos
- Stat trek – AP stats tutorial
- Probability and statistics – Harvard lectures, youtube
- Statistics 101: video course – youtube+ topics in econometrics
- Digital textbook on probability and statistics – from statlect.com
- Cambridge stats course with examples and lecture notes by Spiegelhalter
- Teaching probability – book resources
- Youtube statistics channel – by Brandon Foltz