SOCR Wiki Activities Project - Revision history

IvoDinov: added section on OCR Cartography, GIS mapping and Spatial Statistics

2011-04-13T00:25:13Z

added section on OCR Cartography, GIS mapping and Spatial Statistics

IvoDinov: /* SOCR 3D Charts */

2011-03-16T01:55:02Z

‎SOCR 3D Charts

IvoDinov: /* Examples of activities */ added the Data Analysis Activities

2010-09-15T15:43:12Z

‎Examples of activities: added the Data Analysis Activities

IvoDinov: /* SOCR 3D Charts */

2010-08-06T22:07:40Z

‎SOCR 3D Charts

IvoDinov: /* Random Rectangle Areas Activity */

2010-08-06T22:06:54Z

‎Random Rectangle Areas Activity

IvoDinov: /* Random Rectangle Areas Activity */

2010-08-06T22:06:02Z

‎Random Rectangle Areas Activity

IvoDinov: Created page with '== SOCR Project - SOCR Activities Project== ===Project goals=== [[Image:SOCR_Icon_ConceptsMethods.png|150px|thumbnail|right| SOCR Ac…'

2010-08-06T22:03:24Z

Created page with '== SOCR Project - SOCR Activities Project== ===Project goals=== [[Image:SOCR_Icon_ConceptsMethods.png|150px|thumbnail|right| SOCR Ac…'

New page

==[[Available_SOCR_Development_Projects | SOCR Project]] - [[SOCR]] Activities Project==

===Project goals===
[[Image:SOCR_Icon_ConceptsMethods.png|150px|thumbnail|right| SOCR Activities]]
The goal of this project is to develop new [[SOCR_EduMaterials | hand-on dynamic activities]] demonstrating the utilization of various [http://socr.ucla.edu/ SOCR Tools], [[SOCR Data | Data]] and resources.

===Examples of activities===
Explore the different [http://socr.ucla.edu/ SOCR tools], [[SOCR_EduMaterials | existing activities]] and [[SOCR Data | data]] and either design a new activity, or extend and improve an existing SOCR activity. Some examples of proposed new activities are included below.

==== [http://socr.ucla.edu/htmls/SOCR_3DCharts.html SOCR 3D Charts]====
Develop new SOCR activities for the new [http://socr.ucla.edu/htmls/SOCR_3DCharts.html SOCR 3D Charts applet]. For instance use any [[SOCR_Data |spatial or geographic data]], e.g., [[http://wiki.stat.ucla.edu/socr/index.php/SOCR_Data_121608_OzoneData | California Ozone data]], to render a 3D plot of 2 spatial and 1 altitude variables.

====Random Rectangle Areas Activity====
[[Image:SOCR_Wiki_Activities_Project_RandomRectangles_Fig2.png|150px|thumbnail|right| 100 Random rectangles]]

Design a new SOCR Applet and/or Activity that demonstrates estimation, random sampling, and bias. We can use line lengths, number of balls in urns, etc. Show how SOCR applets can be used to control many of the parameters (e.g., number of objects, the number of sub-objects, sizes, distributions, etc.) For example, this activity may demonstrate how subjective samples may be compared to random samples and whether there is sampling bias. The aim is to show why randomization is an important part of the process of data collection. This activity may also showcase the random sampling, parametric assumptions, the effects of the sample size, confidence and prediction.

* Look at the image and write down your guess as to the average area of the rectangles on the sheet. Each small square is one square unit. Then, guess of Average Area.

* Now select 5 representative rectangles and write down the area for each of them. Compute the average of the five areas, and compare it to your guess (are these close?)

* Use the [[SOCR_EduMaterials_Activities_RNG | SOCR random number generator]] to select 5 distinct random rectangles between 1 and 100, and find the average area of these 5 rectangles. Repeat this process 10 times, and record your average area each time.

* Repeat the previous step using a sample of 10 (instead of 5) distinct random rectangles and compute the average area. Do that again 10 times and record the average area.

* Using all these data, calculate the means, standard deviations, and the five-number
summaries for these 2 distributions (samples of 5 or 10 rectangles).

* Questions:
** How do the centers and spreads of the various distributions compare?
** Which method of sampling (subjective or random) do you think is doing a better job? Why?
** How does the amount of spread in the 10-rectangle-based sampling distribution compare with the 5-rectangle-based sampling distribution? Which distribution gives a more trustworthy estimate of the true population mean?

<hr>
*[http://socr.stat.ucla.edu/docs/ SOCR JavaDoc]
*[[Available_SOCR_Development_Projects]]
*[[SOCR_ProposalSubmissionGuidelines]]

{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=SOCR_Wiki_Activities_Project}}

@@ Line 9: / Line 9: @@
 ==== SOCR 3D Charts====
-Develop new SOCR activities for the new [http://socr.ucla.edu/htmls/SOCR_3DCharts.html SOCR 3D Charts applet]. For instance use any [[SOCR_Data |spatial or geographic data]], e.g., [[SOCR_Data_121608_OzoneData | California Ozone data]], to render a 3D plot of 2 spatial and 1 altitude variables.
+Develop new SOCR activities for the new [http://socr.ucla.edu/htmls/SOCR_3DCharts.html SOCR 3D Charts applet]. For instance use any [[SOCR_Data |spatial or geographic data]], e.g., [[SOCR_Data_121608_OzoneData | California Ozone data]], to render a 3D plot of 2 spatial and 1 altitude variables, or use the [[SOCR_Data_US_Elections_Counties2004| multivariate US population data by county]] to analyze the relations between different demographics, socioeconomics and health.
 ====Random Rectangle Areas Activity====

← Older revision		Revision as of 15:43, 15 September 2010
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	** Which method of sampling (subjective or random) do you think is doing a better job? Why?		** Which method of sampling (subjective or random) do you think is doing a better job? Why?
	** How does the amount of spread in the 10-rectangle-based sampling distribution compare with the 5-rectangle-based sampling distribution? Which distribution gives a more trustworthy estimate of the true population mean?		** How does the amount of spread in the 10-rectangle-based sampling distribution compare with the 5-rectangle-based sampling distribution? Which distribution gives a more trustworthy estimate of the true population mean?
		+
		+	====Data Analysis Activities====
		+	The [[SOCR_EduMaterials \| data-analysis types of activities]] include using any dataset from the [[SOCR Data]] collection, drafting an interesting hypotheses and/or research questions about the data (or the underlying process), using the [http://socr.ucla.edu/ SOCR tools] to analyze the data, and making some statistical inference and decision making regarding the initial research questions based on the findings.
		+
		+	For example, one can use the [[SOCR_Data_2008_World_CountriesRankings \| Ranking of the top 100 Countries in the World]] dataset to ask a large number of questions about what factors, and how, influence the human perception of what the "best" countries to live may be. One may ask how is the overall country ranking (lower rank like 1, 2, 3, etc. is better, higher rank like 98, 99, 100 is worse) is affected by the country's religiosity, education level, health services, etc. Fitting a multiple linear regression with the overall ranking as the response (dependent variable) and all of the other variables as predictors (independent variables, or covariates) may provide clues to the power of the predictors to explain the observed country rankings.

@@ Line 7: / Line 7: @@
 ===Examples of activities===
 Explore the different [http://socr.ucla.edu/ SOCR tools], [[SOCR_EduMaterials | existing activities]] and [[SOCR Data  | data]] and either design a new activity, or extend and improve an existing SOCR activity. Some examples of proposed new activities are included below.
 ==== SOCR 3D Charts====

@@ Line 16: / Line 16: @@
 Design a new SOCR Applet and/or Activity that demonstrates estimation, random sampling, and bias. We can use line lengths, number of balls in urns, etc. Show how SOCR applets can be used to control many of the parameters (e.g., number of objects, the number of sub-objects, sizes, distributions, etc.) For example, this activity may demonstrate how subjective samples may be compared to random samples and whether there is sampling bias. The aim is to show why randomization is an important part of the process of data collection. This activity may also showcase the random sampling, parametric assumptions, the effects of the sample size, confidence and prediction.
-* Look at the image and write down your guess as to the average area of the rectangles on the sheet. Each small square is one square unit. Then, guess of Average Area.
+* Look at the image and write down your guess as to the average area of the rectangles on the sheet. Each small square is one square unit. Then, guess the average rectangular area.
 * Now select 5 representative rectangles and write down the area for each of them. Compute the average of the five areas, and compare it to your guess (are these close?)

@@ Line 24: / Line 24: @@
 * Repeat the previous step using a sample of 10 (instead of 5) distinct random rectangles and compute the average area. Do that again 10 times and record the average area.
-* Using all these data, calculate the means, standard deviations, and the five-number
+* Using all these data, calculate the [[AP_Statistics_Curriculum_2007_EDA_Center#Mean |means]], [[AP_Statistics_Curriculum_2007_EDA_Var#Variance_and_Standard_Deviation |standard deviations]], and the [[AP_Statistics_Curriculum_2007_EDA_Var#Five-number_summary | five-number summaries]] for these 2 distributions (samples of 5 or 10 rectangles).
 * Questions: