Curriculum placement
Algebra 2. This describes the skill, not a learner estimate.
Reading a statistical report critically
Evaluate reports for sampling bias uncertainty and unsupported causal claims
Problem types
- Find the flaw in a report
Builds on
- Margin of error and what a sample supports
- Studies, experiments, and samples
- Testing a difference by randomization · Useful idea
A significant randomization test from random assignment supports a causal claim, which is what a critique of a report asks whether the design justifies.
- A margin of error from simulated samples · Useful idea
Checking whether a reported margin of error fits the sample size is part of critiquing a statistical report.
- Association in a two-way table · Useful idea
Reports that state percents from a table are checked by comparing the right conditional frequencies.
- Association is not causation · Useful idea
Judging whether a report's causal claim is justified depends on its study design.
- Asking a statistical question · Useful idea
Reading a report starts with its question: whether it expects variability and whether the data can answer it.
Leads to
- Comparing uncertain strategies · See it applied
A decision rests on the evidence reported, so a report is critiqued for flaws before it is used.
Related skills
- Checking a model against evidence · Related idea
Asking whether a report's evidence supports its claim is the same question as checking whether a model's predictions agree with the data.
- Comparing center, spread, and shape · Related idea
A report that gives only a mean can hide skew or outliers, which a comparison of summaries reveals.
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