AP Statistics Curriculum 2007 EDA Plots

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==[[AP_Statistics_Curriculum_2007 | General Advance-Placement (AP) Statistics Curriculum]] -  Graphs & Exploratory Data Analysis==
==[[AP_Statistics_Curriculum_2007 | General Advance-Placement (AP) Statistics Curriculum]] -  Graphs & Exploratory Data Analysis==
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=== Charts, Plots, Graphs & Exploratory Data Analysis===
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=== Exploratory Data Analysis (EDA)===
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Example on how to attach images to Wiki documents in included below (this needs to be replaced by an appropriate figure for this section)!
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Modern statistics regard the graphical visualization and interrogation of data as a critical component of any reliable method for statistical modeling, analysis and interpretation of data. Formally, there are two types of data analysis that should be employed in concert on the same set of data to make a valid and robust inference. The objectives of EDA are to:
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<center>[[Image:AP_Statistics_Curriculum_2007_IntroVar_Dinov_061407_Fig1.png|500px]]</center>
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* Suggest hypotheses about the causes of observed phenomena
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* Assess (parametric) assumptions on which statistical inference will be based
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* Support the selection of appropriate statistical tools and techniques
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* Provide a basis for further data collection through surveys or experiments
===Approach===
===Approach===
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Models & strategies for solving the problem, data understanding & inference.  
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Many EDA techniques have been proposed, validated and adopted for various statistical methodologies. Some of these we already discussed in the [[AP_Statistics_Curriculum_2007#Pictures_of_Data | Data visualization section]]. Other frequently used EDA charts include:
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* [[SOCR_EduMaterials_Activities_BoxPlot | Box-and-Whisker plot]]
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* TBD
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* [[SOCR_EduMaterials_Activities_Histogram_Graphs | Histogram]]
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* [[SOCR_EduMaterials_Activities_DotChart | Dot plot]]
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===Model Validation===
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* [[SOCR_EduMaterials_Activities_ScatterChart | Scatter plot]]
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Checking/affirming underlying assumptions.  
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* [[http://en.wikipedia.org/wiki/Stem_and_leaf | Stem-and-leaf plot]]
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* [[SOCR_EduMaterials_Activities_IndexChart | Index plot]]
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* TBD
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* [[SOCR_EduMaterials_Activities_QQChart | QQ Normal Plot]]
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===Computational Resources: Internet-based SOCR Tools===
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* TBD
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===Examples===
===Examples===
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Computer simulations and real observed data.
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[[NISER_081107_ID#Statistics | This activity]] provides hands-on demonstration of EDA on a large data set of [[NISER_081107_ID_Data | Mercury in Bass]].
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* TBD
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===Hands-on activities===
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Step-by-step practice problems.  
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* TBD
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<hr>
<hr>

Revision as of 05:16, 28 January 2008

Contents

General Advance-Placement (AP) Statistics Curriculum - Graphs & Exploratory Data Analysis

Exploratory Data Analysis (EDA)

Modern statistics regard the graphical visualization and interrogation of data as a critical component of any reliable method for statistical modeling, analysis and interpretation of data. Formally, there are two types of data analysis that should be employed in concert on the same set of data to make a valid and robust inference. The objectives of EDA are to:

  • Suggest hypotheses about the causes of observed phenomena
  • Assess (parametric) assumptions on which statistical inference will be based
  • Support the selection of appropriate statistical tools and techniques
  • Provide a basis for further data collection through surveys or experiments

Approach

Many EDA techniques have been proposed, validated and adopted for various statistical methodologies. Some of these we already discussed in the Data visualization section. Other frequently used EDA charts include:

Examples

This activity provides hands-on demonstration of EDA on a large data set of Mercury in Bass.


References

  • TBD



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