SOCR EduMaterials Activities BoxPlot - Revision history

IvoDinov at 16:19, 2 July 2009

2009-07-02T16:19:01Z

PriscillaChui: /* SOCR Educational Materials - Activities - SOCR Box-and-Whisker Plot Activity */

2008-05-03T01:30:47Z

‎ SOCR Educational Materials - Activities - SOCR Box-and-Whisker Plot Activity

PriscillaChui: /* SOCR Educational Materials - Activities - SOCR Box-and-Whisker Plot Activity */

2008-05-01T17:32:50Z

‎ SOCR Educational Materials - Activities - SOCR Box-and-Whisker Plot Activity

IvoDinov: FIxed some minor typos

2007-07-22T05:22:07Z

FIxed some minor typos

IvoDinov: /* Background & Motivation */

2007-07-22T05:18:29Z

‎Background & Motivation

Nchristo: /* Other Forms of Data */

2007-07-22T05:03:58Z

‎Other Forms of Data

Nchristo at 04:50, 22 July 2007

2007-07-22T04:50:54Z

Nchristo: /* Box Plot Pathologies */

2007-07-22T04:28:52Z

‎Box Plot Pathologies

Nchristo: /* Examples & Exercises */

2007-07-22T04:26:46Z

‎Examples & Exercises

Nchristo: /* Examples & Exercises */

2007-07-22T04:25:42Z

‎Examples & Exercises

← Older revision		Revision as of 16:19, 2 July 2009
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−	== [[~~SOCR_EduMaterials_Activities~~ \| SOCR ~~Educational Materials -~~ Activities]] - SOCR Box-and-Whisker Plot Activity ==	+	== [[SOCR_EduMaterials_ChartsActivities \| SOCR Charts Activities]] - SOCR Box-and-Whisker Plot Activity ==

	== Summary==		== Summary==

@@ Line 1: / Line 1: @@
 == [[SOCR_EduMaterials_Activities | SOCR Educational Materials - Activities]] - SOCR Box-and-Whisker Plot Activity ==
-=== Summary===
+== Summary==
 This activity describes the construction of the box-and-whisker plot (or simply box plot) in SOCR.  The applets can be accessed at [http://www.socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] under the Miscellaneous folder.
-===Goals===
+==Goals==
 The aims of this activity are to:
 * show the importance of the box plot in exploratory data analysis (EDA)
@@ Line 10: / Line 10: @@
 * present some unusual pathologies of a box plot
-===Background & Motivation===
+==Background & Motivation==
 The box plot (or box-and-whisker-plot), invented by John Tukey in 1977, is an efficient way for presenting data, especially for comparing multiple groups of data.  In the box plot, we can mark-off the five-number summary of a data set (minimum, 25th percentile, median, 75th percentile, maximum).  The box contains the <math> 50 % </math> of the data.  The upper edge of the box represents the 75th percentile, while the lower edge is the 25th percentile.  The median is represented by a line drawn in the middle of the box.  If the median is not in the middle of the box then the data are skewed.  The ends of the lines (called whiskers) represent the minimum and maximum values of the data set, unless there are outliers.  Outliers are observations below <math> Q_1 -1.5 (IQR) </math> or above <math> Q_3 + 1.5(IQR) </math>, where <math> Q_1</math> is the 25th percentile, <math> Q_3</math> is the 75th percentile, and <math> IQR=Q_3-Q_1 </math> (called the interquartile range).  The advantage of a box plot is that it provides graphically the location and the spread of the data set, it provides an idea about the skewness of the data set, and can provide a comparison between variables by constructing a side-by-side box plots.
-===Examples & Exercises===
+==Examples & Exercises==
 * '''Example 1''': Go to the [http://www.socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and first, click on the '''Miscellaneous''' folder and then on '''BoxAndWhiskerChartDemo1'''.  In the Demo1 box plot, we can see side-by-side box plots of two categories for each of three series.   These demonstration data can be viewed by clicking on DATA.  Clicking on MAPPING you can choose the variables.  Clicking on SHOW ALL the applet will present the graph, the data, and the mapping environment.  Let’s clear this data set (click on CLEAR) so that we can enter our own data.  After you click on CLEAR button, click on the DATA tab to enter data into the spreadsheet.  The following data will be entered (don’t forget to separate the data by commas!):
@@ Line 79: / Line 79: @@
-===Other Forms of Data===
+==Other Forms of Data==
 Alternatively, the user can import data by clicking on FILE OPEN.  Note here that the data must be saved previously as a comma delimited (CSV) in order to be accessed in SOCR.

@@ Line 6: / Line 6: @@
 ===Goals===
 The aims of this activity are to:
-* show the importance of the box plot in explonatory data analysis (EDA)
+* show the importance of the box plot in exploratory data analysis (EDA)
 * illustrate how to use SOCR to construct a box plot
 * present some unusual pathologies of a box plot
 ===Background & Motivation===
-The boxplot (or box-and-whisker-plot), invented by John Tukey in 1977, is an efficient way for presenting data, especially for comparing multiple groups of data.  In the box plot we can mark-off the five-number summary of a data set (minimum, 25th percentile, median, 75th percentile, maximum).  The box contains the <math> 50 % </math> of the data.  The upper edge of the box represents the 75th percentile, while the lower edge the 35th percentile.  The median is represented by a line drawn in the middle of the box.  If the median is not in the middle of the box then the data are skewed.  The ends of the lines (called whiskers) represent the minimum and maximum values of the data set, unless there are outliers.  Outliers are observations below <math> Q_1 -1.5 (IQR) </math> or above <math> Q_3 + 1.5(IQR) </math>, where <math> Q_1</math> is the 25th percentile, <math> Q_3</math> is the 75th percentile, and <math> IQR=Q_3-Q_1 </math> (called the interquartile range).  The advantage of a box plot is that it provides graphically the location and the spread of the data set, it provides an idea about the skewness of the data set, and can provide a comparison between variables by constructing a side-by-side box plots.
+The box plot (or box-and-whisker-plot), invented by John Tukey in 1977, is an efficient way for presenting data, especially for comparing multiple groups of data.  In the box plot, we can mark-off the five-number summary of a data set (minimum, 25th percentile, median, 75th percentile, maximum).  The box contains the <math> 50 % </math> of the data.  The upper edge of the box represents the 75th percentile, while the lower edge is the 25th percentile.  The median is represented by a line drawn in the middle of the box.  If the median is not in the middle of the box then the data are skewed.  The ends of the lines (called whiskers) represent the minimum and maximum values of the data set, unless there are outliers.  Outliers are observations below <math> Q_1 -1.5 (IQR) </math> or above <math> Q_3 + 1.5(IQR) </math>, where <math> Q_1</math> is the 25th percentile, <math> Q_3</math> is the 75th percentile, and <math> IQR=Q_3-Q_1 </math> (called the interquartile range).  The advantage of a box plot is that it provides graphically the location and the spread of the data set, it provides an idea about the skewness of the data set, and can provide a comparison between variables by constructing a side-by-side box plots.
 ===Examples & Exercises===
-* '''Example 1''': Go to the [http://www.socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and first, click on the '''Miscellaneous''' folder and then on '''BoxAndWhiskerChartDemo1'''.  In the Demo1 boxplot we can see side-by-side box plots of two categories for each of three series.   These demonstration data can be viewed by clicking on DATA.  Clicking on MAPPING you can choose the variables.  Clicking on SHOW ALL the applet will present the graph, the data, and the mapping environment.  Let’s clear this data set (click on CLEAR) so that we can enter our own data.  After you click on CLEAR button, click on the DATA tab to enter data into the spreadsheet.  The following data will be entered (don’t forget to separate the data by commas!):
+* '''Example 1''': Go to the [http://www.socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and first, click on the '''Miscellaneous''' folder and then on '''BoxAndWhiskerChartDemo1'''.  In the Demo1 box plot, we can see side-by-side box plots of two categories for each of three series.   These demonstration data can be viewed by clicking on DATA.  Clicking on MAPPING you can choose the variables.  Clicking on SHOW ALL the applet will present the graph, the data, and the mapping environment.  Let’s clear this data set (click on CLEAR) so that we can enter our own data.  After you click on CLEAR button, click on the DATA tab to enter data into the spreadsheet.  The following data will be entered (don’t forget to separate the data by commas!):
 <center><TABLE BORDER=1>
@@ Line 40: / Line 40: @@
 * '''Example 2''':
-If we are working with a single variable we can use the '''BoxAndWhiskerChartDemo2'''.   Double click this link to see the demonstration of the construction of the box plot with one variable.  As we did in example 1, we will enter our own data.  Click on CLEAR to enter your data in the spreadsheet.  The data we want to enter are the following: 60, 95, 72, 87, 88, 75, 76, 91, 100, 58, 78, 81, 73, 94, 65.
+If we are working with a single variable, we can use the '''BoxAndWhiskerChartDemo2'''.   Double click this link to see the demonstration of the construction of the box plot with one variable.  As we did in example 1, we will enter our own data.  Click on CLEAR to enter your data in the spreadsheet.  The data we want to enter are the following: 60, 95, 72, 87, 88, 75, 76, 91, 100, 58, 78, 81, 73, 94, 65.
 When you finish entering your data, click on MAPPING to select the category (here only C1), and finally click on UPDATE_CHART to view the box plot.
@@ Line 49: / Line 49: @@
 The following snapshot shows the mapping of the data:
 <center>[[Image: SOCR_Activities_More_Examples_Christou_box2_map.jpg|600px]]</center>
 The following snapshot shows the box plot:
@@ Line 58: / Line 57: @@
 ===Box Plot Pathologies===
-Box plots can show unusual pathologies.  For the following box plots enter the data in the SOCR Charts spreadsheet that created them.
+Box plots can show unusual pathologies.  For the following box plots, enter the data in the SOCR Charts spreadsheet that created them.
 * '''Example 1''':

@@ Line 11: / Line 11: @@
 ===Background & Motivation===
-The boxplot (or box-and-whisker-plot), invented by John Tukey in 1977, is an efficient way for presenting data, especially for comparing multiple groups of data.  In the box plot we can mark-off the five-number summay of a data set (minimum, 25th percentile, median, 75th percentile, maximum).  The box contains the <math> 50 % </math> of the data.  The upper edge of the box represents the 75th percentile, while the lower edge the 35th percentile.  The median is represented by a line drawn in the middle of the box.  If the median is not in the middle of the box then the data are skewed.  The ends of the lines (called whiskers) represent the minimum and maximum values of the data set, unless there are outliers.  Outliers are observations below <math> Q_1 -1.5 (IQR) </math> or above <math> Q_3 + 1.5(IQR) </math>, where <math> Q_1</math> is the 25th percentile, <math> Q_3</math> is the 75th percentile, and <math> IQR=Q_3-Q_1 </math> (called the interquartile range).  The advantage of a box plot is that it provides grahically the location and the spread of the data set, it provides an idea about the skewness of the data set, and can provide a comparison between variables by constructing a side-by-side box plots.
+The boxplot (or box-and-whisker-plot), invented by John Tukey in 1977, is an efficient way for presenting data, especially for comparing multiple groups of data.  In the box plot we can mark-off the five-number summary of a data set (minimum, 25th percentile, median, 75th percentile, maximum).  The box contains the <math> 50 % </math> of the data.  The upper edge of the box represents the 75th percentile, while the lower edge the 35th percentile.  The median is represented by a line drawn in the middle of the box.  If the median is not in the middle of the box then the data are skewed.  The ends of the lines (called whiskers) represent the minimum and maximum values of the data set, unless there are outliers.  Outliers are observations below <math> Q_1 -1.5 (IQR) </math> or above <math> Q_3 + 1.5(IQR) </math>, where <math> Q_1</math> is the 25th percentile, <math> Q_3</math> is the 75th percentile, and <math> IQR=Q_3-Q_1 </math> (called the interquartile range).  The advantage of a box plot is that it provides graphically the location and the spread of the data set, it provides an idea about the skewness of the data set, and can provide a comparison between variables by constructing a side-by-side box plots.
 ===Examples & Exercises===
-* '''Example 1''': Go to the [http://www.socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and first, click on the '''Miscellaneous''' folder and then on '''BoxAndWhiskerChartDemo1'''.  In the Demo1 boxplot we can see side-by-side box plots of two categories for each of three series.   These demonstration data can be viewed by clicking on DATA.  Clicking on MAPPING you can choose the variables.  Clicking on SHOW ALL the applet will present the graph, the data, and the mapping environment.  Let’s clear this data set (click on CLEAR) so that we can enter our own data.  After you click on CLEAR click on DATA to enter into the spreadsheet.  The following data will be entered (don’t forget to separate the data by commas!):
+* '''Example 1''': Go to the [http://www.socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] and first, click on the '''Miscellaneous''' folder and then on '''BoxAndWhiskerChartDemo1'''.  In the Demo1 boxplot we can see side-by-side box plots of two categories for each of three series.   These demonstration data can be viewed by clicking on DATA.  Clicking on MAPPING you can choose the variables.  Clicking on SHOW ALL the applet will present the graph, the data, and the mapping environment.  Let’s clear this data set (click on CLEAR) so that we can enter our own data.  After you click on CLEAR button, click on the DATA tab to enter data into the spreadsheet.  The following data will be entered (don’t forget to separate the data by commas!):
-<TABLE BORDER=1>
+<center><TABLE BORDER=1>
 <TR> <TD>C1</TD>         <TD>  C2</TD>            <TD>  C3 </TD>    </TR>
 <TR><TD>Series 1</TD>   <TD>1,2,3,4,5,6</TD>      <TD>2,4,6,8,10,12</TD>    </TR>
 <TR><TD>Series 2</TD>    <TD>3,4,5,6,7,8</TD>      <TD>6,8,10,12,14,16,18</TD>   </TR>
 <TR><TD>Series 3</TD>     <TD>5,6,7,8,9</TD>         <TD>10,16,18,20,22</TD>   </TR>
-</TABLE>
+</TABLE></center>
 When you finish entering your data, click on MAPPING to select the series and categories, and finally click on UPDATE_CHART to view the box plots.
@@ Line 40: / Line 40: @@
 * '''Example 2''':
-If we are working with a single variable we can use the '''BoxAndWhiskerChartDemo2'''.   Double click this link to see the demonstration of the contruction of the box plot with one variable.  As we did in example 1, we will enter our own data.  Click on CLEAR to enter your data in the spreadsheet.  The data we want to enter are the following: 60, 95, 72, 87, 88, 75, 76, 91, 100, 58, 78, 81, 73, 94, 65.
+If we are working with a single variable we can use the '''BoxAndWhiskerChartDemo2'''.   Double click this link to see the demonstration of the construction of the box plot with one variable.  As we did in example 1, we will enter our own data.  Click on CLEAR to enter your data in the spreadsheet.  The data we want to enter are the following: 60, 95, 72, 87, 88, 75, 76, 91, 100, 58, 78, 81, 73, 94, 65.
 When you finish entering your data, click on MAPPING to select the category (here only C1), and finally click on UPDATE_CHART to view the box plot.
@@ Line 87: / Line 87: @@
 * SOCR Home page: http://www.socr.ucla.edu
-{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_BoxPlot}}</math>
+{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_EduMaterials_Activities_BoxPlot}}

@@ Line 11: / Line 11: @@
 ===Background & Motivation===
-'''The boxplot (or box-and-whisker-plot), invented by John Tukey in 1977, is an efficient way for presenting data, especially for comparing multiple groups of data.  In the box plot we can mark-off the five-number summay of a data set (minimum, 25th percentile, median, 75th percentile, maximum).  The box contains the <math> 50 % </math> of the data.  The upper edge of the box represents the 75th percentile, while the lower edge the 35th percentile.  The median is represented by a line drawn in the middle of the box.  If the median is not in the middle of the box then the data are skewed.  The ends of the lines (called whiskers) represent the minimum and maximum values of the data set, unless there are outliers.  Outliers are observations below <math> Q_1 -1.5 (IQR) </math> or above <math> Q_3 + 1.5(IQR) </math>, where <math> Q_1</math> is the 25th percentile, <math> Q_3</math> is the 75th percentile, and <math> IQR=Q_3-Q_1 </math> (called the interquartile range).  The advantage of a box plot is that it provides grahically the location and the spread of the data set, it provides an idea about the skewness of the data set, and can provide a comparison between variables by constructing a side-by-side box plots.
+The boxplot (or box-and-whisker-plot), invented by John Tukey in 1977, is an efficient way for presenting data, especially for comparing multiple groups of data.  In the box plot we can mark-off the five-number summay of a data set (minimum, 25th percentile, median, 75th percentile, maximum).  The box contains the <math> 50 % </math> of the data.  The upper edge of the box represents the 75th percentile, while the lower edge the 35th percentile.  The median is represented by a line drawn in the middle of the box.  If the median is not in the middle of the box then the data are skewed.  The ends of the lines (called whiskers) represent the minimum and maximum values of the data set, unless there are outliers.  Outliers are observations below <math> Q_1 -1.5 (IQR) </math> or above <math> Q_3 + 1.5(IQR) </math>, where <math> Q_1</math> is the 25th percentile, <math> Q_3</math> is the 75th percentile, and <math> IQR=Q_3-Q_1 </math> (called the interquartile range).  The advantage of a box plot is that it provides grahically the location and the spread of the data set, it provides an idea about the skewness of the data set, and can provide a comparison between variables by constructing a side-by-side box plots.
 ===Examples & Exercises===

← Older revision		Revision as of 05:03, 22 July 2007
Line 81:		Line 81:

	===Other Forms of Data===		===Other Forms of Data===
−	Alternatively, the user can ~~access~~ data by clicking on FILE OPEN. ~~The~~ data must be saved previously as a comma delimited (CSV) ~~file before~~ accessed in SOCR.	+	Alternatively, the user can import data by clicking on FILE OPEN. Note here that the data must be saved previously as a comma delimited (CSV) in order to be accessed in SOCR.

← Older revision		Revision as of 04:50, 22 July 2007
Line 79:		Line 79:
	<center>[[Image: SOCR_Activities_More_Examples_Christou_box2_pathology5.jpg\|600px]]</center>		<center>[[Image: SOCR_Activities_More_Examples_Christou_box2_pathology5.jpg\|600px]]</center>

		+
		+	===Other Forms of Data===
		+	Alternatively, the user can access data by clicking on FILE OPEN. The data must be saved previously as a comma delimited (CSV) file before accessed in SOCR.

← Older revision		Revision as of 04:26, 22 July 2007
Line 51:		Line 51:


−	The following snapshot shows the ~~side-by-side~~ box ~~plots~~:	+	The following snapshot shows the box plot:
	<center>[[Image: SOCR_Activities_More_Examples_Christou_box2_graph.jpg\|600px]]</center>		<center>[[Image: SOCR_Activities_More_Examples_Christou_box2_graph.jpg\|600px]]</center>