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Statistics 300: Introduction to Probability and Statistics

Statistics 300: Introduction to Probability and Statistics. Section 1-1. What is this class all about? Definitions of “Statistics” as a “field of study”. Definitions of “Statistics”. George Box: “The art and science of making sense out of data”. Definitions of “Statistics”.

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Statistics 300: Introduction to Probability and Statistics

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  1. Statistics 300:Introduction to Probability and Statistics Section 1-1

  2. What is this class all about?Definitions of “Statistics” as a “field of study”

  3. Definitions of “Statistics” • George Box: “The art and science of making sense out of data”

  4. Definitions of “Statistics” • George Box: The art and science of making sense out of data • Data contain both “information” and “disinformation” [“sense” and “nonsense”] • Emphasize information and disregard disinformation

  5. Definitions of “Statistics” • R.A. Fisher: Statistical method and scientific method are synonymous

  6. Scientific Method = Statistical Method Hypothesis about how the world works Revise Hypothesis Design Experiment Analyze Data Collect Data

  7. Definitions of “Statistics” • M.F. Triola (author of textbook) : • Collection of methods for planning experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions based on the data.

  8. More Definitions • Data • Population • Census • Sample

  9. Data • Collections of observations • Measurements, genders, survey responses, etc. • Contain both information and disinformation • Learn from information • Discard disinformation

  10. “Big” Data • Volume • Velocity • Variety • All newspaper articles yesterday • All photos put on Facebook today • All the Tweets in the last hour • All YouTube videos posted last month • All satellite temperature data from 2013

  11. Population • More general than the way we usually use the word • A complete collection of all elements to be studied

  12. Populations are collections of Measurements or Values 1. Weights of all dogs in CA shelters • Annual fuel economy of all Toyotas registered in Sacramento • Grams of fat in all McDonald’s hamburgers served last year

  13. Populations are collections of Measurements or Values 4. (Future) Monthly rainfall in Sacramento for all months in the coming century 5. (Past) Monthly rainfall in Sacramento for all months during the 1900’s

  14. Populations are collections of Measurements 6. (Conceptual / Abstract) Sale prices of all homes in Sacramento if they were sold in today’s market

  15. Census • The act of observing every element in a specified population • The set of data that results from carrying out a census • A comprehensive “sample”

  16. Sample • A subset of the elements in a specified population • Weights of 10 dogs • Fuel economies of 42 Toyotas • Fat grams in 20 hamburgers • Values of 327 homes

  17. Sample • A subset of the elements in a specified population • The fuel economy (miles per gallon) for 27 Toyotas • The monthly rainfall for 20 random years in Sacramento

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