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Introduction to Statistics: Data Collection and Analysis

This informative text introduces the art and science of statistics, covering topics such as data collection, analysis, and drawing conclusions. It explores the importance of good data, available data, and statistical designs for producing data. Examples of surveys, observational studies, and experiments are provided to illustrate these concepts.

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Introduction to Statistics: Data Collection and Analysis

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  1. What is Statistics?

  2. Statistics: • Is the art and science of collecting, organizing, describing, and drawing conclusions from data.

  3. What is DATA? • Data are number with a context. • For example the number 32 doesn’t carry any information by itself. But if a student received a 32 on the ACT then we would congratulate them on such a great score. The context makes the number informative.

  4. Where do you get good data? • Some people make decisions based on personal experiences. • Statisticians make decisions based on data.

  5. Power lines and cancer • Does living near power lines cause leukemia in children? The National Cancer Institute spent 5 years and $5 million gathering data on this question. The researchers compared 638 children who had leukemia with 620 who didn’t. • Results: no connection between leukemia and exposure to magnetic fields of the kind produced by power lines was found.

  6. Available Data • Available data are data that were produced in the past for some other purpose but that may help answer a present question. • This form of that is used in most student reports. Because producing new data is expensive.

  7. The main statistical designs for producing data • Surveys • Experiments • Observational studies.

  8. Surveys • Surveys are popular ways to gauge public opinion. • The idea of a survey is pretty simple: • Select a sample of people to represent a larger population. • Ask the individuals in the sample some questions and record their responses. • Use sample results to draw some conclusions about the population Read P.3 aloud

  9. Observational study • We observe individuals and measure variables of interest but do not attempt to influence the responses.

  10. Experiment • We deliberately do something to individuals in order to observe their responses. • Read example P.4 aloud.

  11. Textbook Problems pg. 11 1-5

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