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Statistical Sampling. Part II – Language and Technique. This video is designed to accompany pages 41-76 in Making Sense of Uncertainty Activities for Teaching Statistical Reasoning Van- Griner Publishing Company. 6. 8. 1. 10. 12. 2. 4. 7. 5. 11. 3. 5. 9. 2. 10. 8.

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## Statistical Sampling

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**Statistical Sampling**Part II – Language and Technique**This video is designed to accompany**pages 41-76 in Making Sense of Uncertainty Activities for Teaching Statistical Reasoning Van-Griner Publishing Company**6**8 1 10 12 2 4 7 5 11 3 5 9 2 10 8 Basic Language List of Individuals 1 2 3 4 5 6 7 8 9 10 11 12 Sample - Subject/items that you are able to measure/interview. Chosen from population. Population - Larger collection of subjects/items that you are interested in understanding something about.**4**2 1 10 12 8 6 7 5 11 3 5 9 2 10 8 Critical Distinction Remember S-S Statistic – number that describes the sample. E.g. observed proportion in sample who answered “Yes” Sample Remember P-P Population Parameter – number that describes the population. E.g. true proportion of all U.K. students who would answer “Yes” to “Do you support gay marriage?”**Identification of Terms**Parameter - true, unknown percentage of ALL Americans who would have said they supported stricter gun laws, if all had been asked. Americans and Their Guns Title: Poll: Majority of Americans Back Stricter Gun Laws Authors: Sarah Dutton, Jennifer De Pinto, Anthony Salvanto, Fred Backus, Leigh Ann Caldwell Source:CBS News January 17, 2013 As the president outlined sweeping new proposals aimed to reduce gun violence, a new CBS News/New York Times poll found that Americans back the central components of the president's proposals, including background checks, a national gun sale database, limits on high capacity magazines and a ban on semi-automatic weapons. Asked if they generally back stricter gun laws, more than half of respondents - 54 percent - support stricter gun laws …. That is a jump from April - before the Newtown and Aurora shootings - when only 39 percent backed stricter gun laws but about the same as ten years ago. … This poll was conducted by telephone from January 11-15, 2013 among 1,110 adults nationwide. Phone numbers were dialed from samples of both standard land-line and cell phones. The error due to sampling for results based on the entire sample could be plus or minus three percentage points. Population (All Americans) Statistic Sample**Simple Random Sampling**A simple random sample (SRS) of size n consists of n individuals chosen from the population in such a way that every set of n individuals had the same chance of being chosen.**7**8 1 10 12 2 4 6 5 8 11 3 5 9 2 10 Practical Selection Tool SRS of size n from N subjects? Label objects 1 to N Use http://www.randomizer.org**7**8 1 10 12 2 4 6 5 8 11 3 5 9 2 10 Subtle and Critical Keys to confidence in your parameter estimate? The probabilistic nature of the sample selection Some really neat mathematics**Common Confusion**A “fair” sample in a probabilistic sense is NOT a cross-sectional sample. One of least understood, but most critical interpretations of what it means to sample “fairly.”**One-Sentence Reflection**A probabilistic sample like an SRS is a critical step in estimating a population parameter with a sample statistic.

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