AP Statistics Curriculum 2007 EDA Pics

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===Pictures of Data===
===Pictures of Data===
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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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There are a [[SOCR_EduMaterials_ChartsActivities | varieties of graphs and plots]] that may be used to display data.
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<center>[[Image:AP_Statistics_Curriculum_2007_IntroVar_Dinov_061407_Fig1.png|500px]]</center>
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* For '''quantitative''' variables, we need to make classes (meaningful intervals) first. To accomplish this we need to separate (or bin) the quantitative data into classes. 
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* For qualitative variables we need to use the frequency counts, instead of the native measurements as the latter may not even have a natural ordering (so binning the variables in classes may not be possible).
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* How to define the number of bins or classes? One common rule of thumb is that the number of classes should be close to <math>\sqrt{sample-size}</math>. For accurate interpretation of data, it is important that all classes (or bins) are of equal width. Once we have our classes we can create a frequency/relative frequency table or histogram.
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===Approach===
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===Example===
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Models & strategies for solving the problem, data understanding & inference.  
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People who are concerned about their health may prefer hot dogs that are low in salt and calories. The [[SOCR_012708_ID_Data_HotDogs | Hot dogs datafile]] contains data on the ''sodium'' and ''calories'' contained in each of 54 major hot dog brands. The hot dogs are also classified by type: ''beef'', ''poultry'', and ''meat'' (mostly pork and beef, but up to 15% poultry meat).  For now we will focus on the calories of these sampled hotdogs.  
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* TBD
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* Using [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and the [[SOCR_EduMaterials_ChartsActivities | Charts activities]] you can produce a number of interesting graphical summaries for [[SOCR_012708_ID_Data_HotDogs | this hotdogs dataset]].
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===Model Validation===
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* The histogram of the '''Calory''' content of all hotdogs in shown in the image below. Note the clear separation of the calories into 3 distinct sub-populations. Could this be related to the type of meat in the hotdogs?
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Checking/affirming underlying assumptions.  
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* TBD
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<center>[[Image:SSOCR_EBook_Dinov_EDA_012708_Fig3.jpg|500px]]</center>
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* The histogram of the '''Sodium''' content of all hotdogs in shown in the image below. What patterns in this histogram can you identify? Try to explain!
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<center>[[Image:SSOCR_EBook_Dinov_EDA_012708_Fig4.jpg|500px]]</center>
===Computational Resources: Internet-based SOCR Tools===
===Computational Resources: Internet-based SOCR Tools===
* TBD
* TBD
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===Examples===
 
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Computer simulations and real observed data.
 
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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>
===References===
===References===

Revision as of 20:27, 27 January 2008

Contents

General Advance-Placement (AP) Statistics Curriculum - Pictures of Data

Pictures of Data

There are a varieties of graphs and plots that may be used to display data.

  • For quantitative variables, we need to make classes (meaningful intervals) first. To accomplish this we need to separate (or bin) the quantitative data into classes.
  • For qualitative variables we need to use the frequency counts, instead of the native measurements as the latter may not even have a natural ordering (so binning the variables in classes may not be possible).
  • How to define the number of bins or classes? One common rule of thumb is that the number of classes should be close to \sqrt{sample-size}. For accurate interpretation of data, it is important that all classes (or bins) are of equal width. Once we have our classes we can create a frequency/relative frequency table or histogram.

Example

People who are concerned about their health may prefer hot dogs that are low in salt and calories. The Hot dogs datafile contains data on the sodium and calories contained in each of 54 major hot dog brands. The hot dogs are also classified by type: beef, poultry, and meat (mostly pork and beef, but up to 15% poultry meat). For now we will focus on the calories of these sampled hotdogs.

  • The histogram of the Calory content of all hotdogs in shown in the image below. Note the clear separation of the calories into 3 distinct sub-populations. Could this be related to the type of meat in the hotdogs?
File:SSOCR EBook Dinov EDA 012708 Fig3.jpg
  • The histogram of the Sodium content of all hotdogs in shown in the image below. What patterns in this histogram can you identify? Try to explain!
File:SSOCR EBook Dinov EDA 012708 Fig4.jpg

Computational Resources: Internet-based SOCR Tools

  • TBD

References

  • TBD



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