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Mathematics LibreTexts

7: Statistics

  • Page ID
    113175
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    Statistics are often presented in an effort to add credibility to an argument or advice. You can see this by paying attention to television advertisements. Many of the numbers thrown about in this way do not represent careful statistical analysis. They can be misleading, and push you into decisions that you might find cause to regret. These chapters will help you learn statistical essentials. It will make you into an intelligent consumer of statistical claims.

    • 7.1: Basic Concepts of Statistics
      Before we begin gathering and analyzing data we need to characterize the population we are studying.
    • 7.2: Sampling Methods
      The first thing we should do before conducting a survey is to identify the population that we want to study.
    • 7.3: Sources of Bias
      There are number of ways that a study can be ruined before you even start collecting data. The first we have already explored – sampling or selection bias, which is when the sample is not representative of the population. One example of this is voluntary response bias, which is bias introduced by only collecting data from those who volunteer to participate. This is not the only potential source of bias.
    • 7.4: Experiments
      So far, we have primarily discussed observational studies – studies in which conclusions would be drawn from observations of a sample or the population. In contrast, it is common to use experiments when exploring how subjects react to an outside influence. In an experiment, some kind of treatment is applied to the subjects and the results are measured and recorded.
    • 7.5: Chapter Review and Glossary
    • 7.6: Exercises


    This page titled 7: Statistics is shared under a CC BY-SA 3.0 license and was authored, remixed, and/or curated by David Lippman & Jeff Eldridge (The OpenTextBookStore) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.