AP Statistics Curriculum 2007 EDA Statistics - Revision history

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‎Definitions

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‎Example

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IvoDinov: /* General Advance-Placement (AP) Statistics Curriculum - Statistics */

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‎ General Advance-Placement (AP) Statistics Curriculum - Statistics

IvoDinov at 05:37, 28 January 2008

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IvoDinov at 01:37, 28 January 2008

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IvoDinov: New page: == General Advance-Placement (AP) Statistics Curriculum - Statistics== ===Definitions=== Variables can be summarized using statistics. *A '''statistic''...

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New page: == General Advance-Placement (AP) Statistics Curriculum - Statistics== ===Definitions=== Variables can be summarized using statistics. *A '''statistic''...

New page

==[[AP_Statistics_Curriculum_2007 | General Advance-Placement (AP) Statistics Curriculum]] - Statistics==

===Definitions===
Variables can be summarized using statistics.
*A '''statistic''' is a numerical measure (or a function) that describes a characteristic of the ''sample''.
*A '''parameter''' is a numerical measure that describes a characteristic of the ''population''.
We use statistics to estimate parameters.
* We use '''sample-statistics''' to estimate/understand '''population parameters''' or characteristics!

===Example===
Suppose we are interested in the meancalory or mean sodium content of hot dogs. It would be difficult to obtain measures of calory and salt content for ALL hot-dogs. However, we can use the [[SOCR_012708_ID_Data_HotDogs | Hot dogs datafile]] that we discussed uearlier. This data contains a sample of 54 major hot dog brands. Some of the interesting '''population papameters''' are the mean-calory, mean-sodium, variance-of-calory between hot-dogs and variance-of-sodium between hot-dogs. These measures may be estimated from the sample using the corresponding '''sample-statistics''' (sample-averages and sample-variances).

* 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]].

* 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?

<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig3.jpg|500px]]</center>

* 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!

<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig4.jpg|500px]]</center>

<hr>
===References===
* [http://www.stat.ucla.edu/%7Edinov/courses_students.dir/07/Fall/STAT13.1.dir/STAT13_notes.dir/lecture02.pdf Lecture notes on EDA]

<hr>
* SOCR Home page: http://www.socr.ucla.edu

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← Older revision		Revision as of 16:49, 3 March 2020
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	* SOCR Home page: http://www.socr.ucla.edu		* SOCR Home page: http://www.socr.ucla.edu

−	{{translate\|pageName=http://wiki.~~stat~~.~~ucla~~.edu~~/socr~~/index.php?title=AP_Statistics_Curriculum_2007_EDA_Statistics}}	+	"{{translate\|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_EDA_Statistics}}

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 * '''Notation''':
 ** Population parameters are typically denoted by lower-case Greek letters (e.g., <math>\mu, \sigma, \pi</math>, etc.)
-** Random variables are always denoted by capical letters (e.g., ''X, Y, U, W'', etc.) and specific measurements (an instance of a data sample) are denoted by lower-case letters (e.g., ''x, y, u, w'', etc.).
+** Random variables are always denoted by capital letters (e.g., ''X, Y, U, W'', etc.) and specific measurements (an instance of a data sample) are denoted by lower-case letters (e.g., ''x, y, u, w'', etc.).
 ** Data (sample) driven estimates (for specific population parameters) are always denoted by a corresponding symbol with an over-line or a hat (e.g., <math>\hat{\mu}, \overline{y}, \hat{\sigma}, \hat{p}</math>, etc.)

@@ Line 16: / Line 16: @@
 * 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]].
-* The '''dot-plot''' of the '''Calorie''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
+* The '''dot-plot''' of the '''Calorie''' content of all hotdogs is shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
 <center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig7.jpg|500px]]</center>
-* The '''dot-plot''' of the '''Sodium''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
+* The '''dot-plot''' of the '''Sodium''' content of all hotdogs is shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
 <center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig8.jpg|500px]]</center>

← Older revision		Revision as of 04:47, 26 October 2009
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	<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig8.jpg\|500px]]</center>		<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig8.jpg\|500px]]</center>
		+
		+	===[[EBook_Problems_EDA_Statistics \| Problems]]===

	<hr>		<hr>

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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]].
-* The '''dot-plot''' of the '''Calory''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
+* The '''dot-plot''' of the '''Calorie''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
 <center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig7.jpg|500px]]</center>

@@ Line 6: / Line 6: @@
 *A '''parameter''' is a numerical measure that describes a characteristic of the ''population''. We use statistics to estimate parameters.
 * We use '''sample-statistics''' to estimate/understand '''population parameters''' or characteristics!
 ===Example===

@@ Line 13: / Line 13: @@
 * 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]].
-* 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?
+* The '''dot-plot''' of the '''Calory''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
-<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig3.jpg|500px]]</center>
+* The '''dot-plot''' of the '''Sodium''' content of all hotdogs in shown in the image below. Notice the '''summary statistics''' of mean and standard deviation below the graph!
-* 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!
+<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig6.jpg|500px]]</center>
 <hr>