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Chapter 1 Introduction to Statistics ,[object Object],[object Object],[object Object],[object Object]
Created by Tom Wegleitner, Centreville, Virginia Section 1-1 Overview
Overview A common goal of surveys and other data collecting tools is to collect data from a smaller part of a larger group so we can learn something about the larger group. In this section we will look at some of ways to describe data.
[object Object],[object Object],[object Object],Definitions
[object Object],[object Object],Definitions
Definitions ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],Definitions
Key Concepts ,[object Object],[object Object]
Created by Tom Wegleitner, Centreville, Virginia Section 1-2  Types of Data
[object Object],[object Object],Definitions population parameter
Definitions ,[object Object],[object Object],sample statistic
Definitions ,[object Object],[object Object],[object Object]
Definitions ,[object Object],[object Object],[object Object]
Working with  Quantitative Data Quantitative data can further be distinguished between  discrete  and  continuous  types.
[object Object],[object Object],[object Object],[object Object],Definitions
[object Object],[object Object],Definitions 2 3 Example:  The amount of milk that a cow produces; e.g. 2.343115 gallons per day.
Levels of Measurement Another way to classify data is to use use levels of measurement.  Four of these levels are discussed in the following slides.
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[object Object],[object Object],[object Object],Definitions
[object Object],[object Object],[object Object],Definitions
[object Object],[object Object],[object Object],Definitions
[object Object],[object Object],[object Object],[object Object],Summary -  Levels of  Measurement
Recap ,[object Object],[object Object],[object Object],[object Object],In Sections 1-1 and 1-2 we have looked at:
Created by Tom Wegleitner, Centreville, Virginia Section 1-3  Critical Thinking
Success in Statistics ,[object Object],[object Object]
Misuses of Statistics ,[object Object]
Definitions ,[object Object],[object Object],[object Object],[object Object]
Misuses of Statistics ,[object Object],[object Object],[object Object]
Figure 1-1
To correctly interpret a graph, we should analyze the  numerical   information given in the graph instead of being mislead by its general shape.
Misuses of Statistics ,[object Object],[object Object],[object Object],[object Object]
Figure 1-2 Double the length, width, and height of a cube, and the volume increases by a factor of eight
Misuses of Statistics ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
97% yes:  “Should the President have the line item veto to eliminate waste?” 57% yes:  “Should the President have the line item veto, or not?”
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Misuses of Statistics
Recap ,[object Object],[object Object],In this section we have:
Created by Tom Wegleitner, Centreville, Virginia Section 1-4  Design of Experiments
Major Points ,[object Object],[object Object]
[object Object],[object Object],Definitions
[object Object],[object Object],Definitions
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[object Object],[object Object],Try to plan the experiment so confounding does not occur! Definitions
Controlling Effects  of Variables ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],Replication and Sample Size ,[object Object],[object Object]
[object Object],[object Object],Definitions ,[object Object],[object Object]
Random Sampling  selection so that each has an  equal   chance  of being selected
Systematic Sampling Select some starting point and then  select every  K th element in the population
Convenience Sampling use results that are easy to get
Stratified Sampling subdivide the population into at  least two different subgroups that share the same characteristics, then draw a sample from each subgroup (or stratum)
Cluster Sampling divide the population into sections  (or clusters); randomly select some of those clusters; choose  all  members from selected clusters
[object Object],[object Object],[object Object],[object Object],[object Object],Methods of Sampling
[object Object],[object Object],[object Object],[object Object],Definitions
Recap ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Introduction To Statistics

  • 1.  
  • 2.
  • 3. Created by Tom Wegleitner, Centreville, Virginia Section 1-1 Overview
  • 4. Overview A common goal of surveys and other data collecting tools is to collect data from a smaller part of a larger group so we can learn something about the larger group. In this section we will look at some of ways to describe data.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10. Created by Tom Wegleitner, Centreville, Virginia Section 1-2 Types of Data
  • 11.
  • 12.
  • 13.
  • 14.
  • 15. Working with Quantitative Data Quantitative data can further be distinguished between discrete and continuous types.
  • 16.
  • 17.
  • 18. Levels of Measurement Another way to classify data is to use use levels of measurement. Four of these levels are discussed in the following slides.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25. Created by Tom Wegleitner, Centreville, Virginia Section 1-3 Critical Thinking
  • 26.
  • 27.
  • 28.
  • 29.
  • 31. To correctly interpret a graph, we should analyze the numerical information given in the graph instead of being mislead by its general shape.
  • 32.
  • 33. Figure 1-2 Double the length, width, and height of a cube, and the volume increases by a factor of eight
  • 34.
  • 35. 97% yes: “Should the President have the line item veto to eliminate waste?” 57% yes: “Should the President have the line item veto, or not?”
  • 36.
  • 37.
  • 38. Created by Tom Wegleitner, Centreville, Virginia Section 1-4 Design of Experiments
  • 39.
  • 40.
  • 41.
  • 42.
  • 43.
  • 44.
  • 45.
  • 46.
  • 47. Random Sampling selection so that each has an equal chance of being selected
  • 48. Systematic Sampling Select some starting point and then select every K th element in the population
  • 49. Convenience Sampling use results that are easy to get
  • 50. Stratified Sampling subdivide the population into at least two different subgroups that share the same characteristics, then draw a sample from each subgroup (or stratum)
  • 51. Cluster Sampling divide the population into sections (or clusters); randomly select some of those clusters; choose all members from selected clusters
  • 52.
  • 53.
  • 54.