AP Statistics Curriculum 2007 IntroVar - Revision history

Tdlee: Text replacement - "{{translate|pageName=http://wiki.stat.ucla.edu/socr/" to ""{{translate|pageName=http://wiki.socr.umich.edu/"

2020-03-03T18:26:16Z

Text replacement - "{{translate|pageName=http://wiki.stat.ucla.edu/socr/" to ""{{translate|pageName=http://wiki.socr.umich.edu/"

IvoDinov: /* The Nature of Data & Variation */ typo

2013-03-31T17:48:49Z

‎The Nature of Data & Variation: typo

Jenny: /* Datasets */

2010-06-28T18:19:56Z

‎Datasets

Jenny: /* Computational Resources: Internet-based SOCR Tools */

2010-06-28T18:19:06Z

‎Computational Resources: Internet-based SOCR Tools

Jenny: /* Approach */

2010-06-28T18:18:48Z

‎Approach

Jenny: /* Approach */

2010-06-28T18:18:19Z

‎Approach

Jenny at 18:17, 28 June 2010

2010-06-28T18:17:23Z

IvoDinov: added a link to the Problems set

2009-10-26T04:31:04Z

added a link to the Problems set

IvoDinov at 18:10, 7 March 2008

2008-03-07T18:10:40Z

IvoDinov: /* The Nature of Data & Variation */

2008-03-07T05:11:33Z

‎The Nature of Data & Variation

← Older revision		Revision as of 18:26, 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_IntroVar}}	+	"{{translate\|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_IntroVar}}

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 No matter how controlled are the environment, the protocol or the design, virtually any repeated measurement, observation, experiment, trial, study or survey is bounded to generate data that varies because of intrinsic (internal to the system) or extrinsic (due to the ambient environment) effects.
-For example, the UCLA's [[AP_Statistics_Curriculum_2007_IntroVar#References | study of Alzheimer’s disease*]] analyzed the data of 31 Minor Cognitive Impairment (MCI) and 34 probable Alzheimer’s disease (AD) patients. The investigators made every attempt to control as many variables as possible. Yet, the demographic information they collected from the outcomes of the subjects contained unavoidable variation. The same study found variation in the MMSE cognitive scores even in the same subject. The table below shows the demographic characteristics for the subjects and patients included in this study, where the following notation is used M: male; F: female; W: white; AA: African American; A: Asian:
+For example, the UCLA's [[AP_Statistics_Curriculum_2007_IntroVar#References | study of Alzheimer’s disease*]] analyzed the data of 31 Mild Cognitive Impairment (MCI) and 34 probable Alzheimer’s disease (AD) patients. The investigators made every attempt to control as many variables as possible. Yet, the demographic information they collected from the outcomes of the subjects contained unavoidable variation. The same study found variation in the MMSE cognitive scores even in the same subject. The table below shows the demographic characteristics for the subjects and patients included in this study, where the following notation is used M: male; F: female; W: white; AA: African American; A: Asian:
 <center>

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 ==Datasets==
-There are [[SOCR_Data | a number of large, natural, useful and demonstrative datasets]] that are provided as part of this statistics [[EBook]]. Many of these data collections are intentionally selected to be large and complex. This choice is driven by the need to emphasize the symbiosis between driving challenges, statistical concepts, mathematical derivations and the use of technology to solve relevant research problems.
+There are [[SOCR_Data | a number of large, natural, useful and demonstrative datasets]] that are provided as part of this statistics [[EBook]]. Many of these data collections are intentionally selected to be large and complex. This choice is driven by the need of emphasizing the symbiosis between driving challenges, statistical concepts, mathematical derivations and the use of technology to solve relevant research problems.
 ==Examples==

@@ Line 39: / Line 39: @@
 ==Computational Resources: Internet-based SOCR Tools==
-* The [[SOCR]] resource contains a variety of educational materials, demonstration applets and learning resource that illustrate data generation, experimentation, exploratory and statistical data analysis.
+* The [[SOCR]] resource contains a variety of educational materials, demonstration applets and learning resources that illustrate data generation, experimentation, exploratory and statistical data analysis.
 * [[SOCR_EduMaterials_Activities_RNG | (Numeric Pseudo-Random) Data Generation]]
 * [[SOCR_EduMaterials_ExperimentsActivities | Interactive SOCR Experimentation]] with computer generated models of natural phenomena

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 * Once we accept that all natural phenomena are inherently variant and there are no completely deterministic processes, we need to look for models and techniques that allow us to study such acquired data in the presence of variation, uncertainty and chance.
-* '''Statistics''' is the data science that investigates natural processes and allows us to quantify variation to make population inference based on limited observations.
+* '''Statistics''' is the data science that investigates natural processes and allows us to quantify variation to make population inferences based on limited observations.
 ==Model Validation==

@@ Line 24: / Line 24: @@
 ==Approach==
-Models and strategies for solving the problem and understanding the data and inference.
+Models and strategies for solving  problems and understanding data and inferences.
 * Once we accept that all natural phenomena are inherently variant and there are no completely deterministic processes, we need to look for models and techniques that allow us to study such acquired data in the presence of variation, uncertainty and chance.

@@ Line 2: / Line 2: @@
 ==The Nature of Data & Variation==
-No matter how controlled the environment, the protocol or the design, virtually any repeated measurement, observation, experiment, trial, study or survey is bound to generate data that varies because of intrinsic (internal to the system) or extrinsic (due to the ambient environment) effects.
+No matter how controlled are the environment, the protocol or the design, virtually any repeated measurement, observation, experiment, trial, study or survey is bounded to generate data that varies because of intrinsic (internal to the system) or extrinsic (due to the ambient environment) effects.
-For example, the UCLA's [[AP_Statistics_Curriculum_2007_IntroVar#References | study of Alzheimer’s disease*]] analyzed the data of 31 Minor Cognitive Impairment (MCI) and 34 probable Alzheimer’s disease (AD) patients. The investigators made every attempt to control as many variables as possible, yet, the demographic information they collected from the outcomes of the subjects contained unavoidable variation. The same study found variation in the MMSE cognitive scores even in the same subjects. The table below shows the demographic characteristics for the subjects and patients included in this study, where the following notation is used M: male; F: female; W: white; AA: African American; A: Asian:
+For example, the UCLA's [[AP_Statistics_Curriculum_2007_IntroVar#References | study of Alzheimer’s disease*]] analyzed the data of 31 Minor Cognitive Impairment (MCI) and 34 probable Alzheimer’s disease (AD) patients. The investigators made every attempt to control as many variables as possible. Yet, the demographic information they collected from the outcomes of the subjects contained unavoidable variation. The same study found variation in the MMSE cognitive scores even in the same subject. The table below shows the demographic characteristics for the subjects and patients included in this study, where the following notation is used M: male; F: female; W: white; AA: African American; A: Asian:
 <center>

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 * [[SOCR_EduMaterials_Activities_Histogram_Graphs | Histograms and Frequency Graphs Activity]]
 * [[SOCR_EduMaterials_Activities_CardsCoinsSampling | Bivariate Cards and Coins Meta-Activity]]
 <hr>
-===References===
+==References==
 * Apostolova LG, Dinov ID, Dutton RA, Hayashi KM, Toga AW, Cummings JL, Thompson PM. [http://brain.oxfordjournals.org/cgi/reprint/awl274v1.pdf 3D comparison of hippocampal atrophy in amnestic mild cognitive impairment and Alzheimer's disease.] Brain. 2006 Nov; 129(Pt 11):2867-73.

@@ Line 24: / Line 24: @@
 ==Approach==
-Models & strategies for solving the problem and understanding the data and inference.
+Models and strategies for solving the problem and understanding the data and inference.
 * Once we accept that all natural phenomena are inherently variant and there are no completely deterministic processes, we need to look for models and techniques that allow us to study such acquired data in the presence of variation, uncertainty and chance.
@@ Line 36: / Line 36: @@
 * Such prior model conjectures or presumptions could take the form of mathematical constraints about the properties of the underlying process, restrictions on the study design or demands on the data acquisition protocol.
-* Common assumptions include (statistical) independence of the measurements, specific limitations on the shape of the observed distribution, restrictions on the parameters of the processes being studied , etc.
+* Common assumptions include (statistical) independence of the measurements, specific limitations on the shape of the observed distribution, restrictions on the parameters of the processes being studied, etc.
 ==Computational Resources: Internet-based SOCR Tools==
@@ Line 45: / Line 45: @@
 * [[SOCR_EduMaterials_Activities_Histogram_Graphs | Exploratory Data Analysis]]
 * [[SOCR_EduMaterials_AnalysisActivities_ANOVA_1 | Statistical Data Analysis]]
 ==Examples==