1. Surveys: These help people evaluate their strengths and opportunities for improvement in various aspects of statistical literacy 

2. Standardizing:  Using graphs, these web programs show users the impact of controlling for a related factor. 

3. Grammar Drills: This web program helps users develop their skills in using ordinary English to describe and compare rates and percentages as presented in pie charts, in statements, in tables and in graphs.   The author of this cutting-edge program (Tom Burnham) is shown above.

4. Part-whole drill: This web program helps users develop their skills in identify the part and whole in statements, tables and graphs.

5. Chance Demonstrations.  Four Envelope problem,  Law of Very Large Numbers

• Five Table survey.  This short survey (~7 minutes) asks respondent which statements accurately describe the circled percentage in five different tables. This survey is available in a web version with immediate grading and feedback on errors, and in a paper version.
• 2002 W. M. Keck Statistical Literacy Survey.  This very long survey (~50 minutes) is available in Perseus-powered web version that acquires the data but gives no interactive feedback, and in a paper version. The results and analysis of this survey are also available.

• Confound Those Speculative Statistics by Schield (2009). ASA 6up
• Presenting Confounding Graphically Using Standardization by Schield (2006). Draft for Stats magazine
• Three Graphs to Promote Statistical Literacy by Schield (2004), ICME.
• Frequency of Simpson's Paradox in NAEP Data by Terwilliger and Schield (2004), AERA.
• Simpson's Paradox and Cornfield's Conditions by Schield (1999), American Statistical Association.

Here are two web-based interactive Excel programs that demonstrate standardization.

• Standardizing for Percentage Outcomes between 0% and 8%.

• Standardizing for Average Outcomes between 0 and 800.

For a broader mathematical background on Simpson's paradox, see

• Exploring Simpson's Paradox by Larry Lesser NCTM 2001

The following documentation is available.

• An Introduction to a Web-Based Statement Validator for Rates and Percentages by Burnham and Schield (2006) IASSIST
• An Online Grammar-Parsing Program that Decodes Ordinary English Descriptions & Comparisons of Rates & Percentages by Burnham and Schield (2005) in the Proceedings of the American Statistical Association Section on Statistical Education, p. 2202 - 2210.
• Statistical Literacy Workshop: Using a Learning Object by Schield (2006) at IASSIST.

Capella University is using an older version of this program.

• Marilyn vos Savant's "Four Envelope Problem".  Schield Excel demonstration.
• Law of Very Large Numbers: "The unlikely is almost certain given enough tries".  Schield Excel demo.   See Schield (2005): Statistical Literacy and Chance.

2009FreeMinds09Schield1: Track1, Track2, Track3, Track4, Track5, Track6.

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