AP Statistics Curriculum 2007 ANOVA 2Way - Revision history

WikiSysop: /* Problems */

2014-03-05T14:43:55Z

‎Problems

WikiSysop: /* Problems */

2014-03-05T14:43:44Z

‎Problems

WikiSysop at 14:43, 5 March 2014

2014-03-05T14:43:07Z

WikiSysop at 14:40, 5 March 2014

2014-03-05T14:40:18Z

IvoDinov: /* Clinical example: Knee Pain Study */

2010-10-06T19:36:37Z

‎Clinical example: Knee Pain Study

IvoDinov: /* Clinical example: Knee Pain Study */

2010-10-06T19:34:01Z

‎Clinical example: Knee Pain Study

IvoDinov: added a new section: Clinical example: Knee Pain Study

2010-10-06T19:33:42Z

added a new section: Clinical example: Knee Pain Study

Jenny at 20:59, 28 June 2010

2010-06-28T20:59:22Z

Jenny at 17:39, 28 June 2010

2010-06-28T17:39:28Z

IvoDinov: added a link to the Problems set

2009-10-26T05:23:50Z

added a link to the Problems set

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 <hr>
-* SOCR Home page: http://socr.umich.edu.edu
+* SOCR Home page: http://socr.umich.edu
 {{translate|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_ANOVA_2Way}}

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 <hr>
-* SOCR Home page: http://www.socr.umich.edu.edu
+* SOCR Home page: http://socr.umich.edu.edu
 {{translate|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_ANOVA_2Way}}

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 </center>
-Using the [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] (see [[SOCR_EduMaterials_Activities_BoxAndWhiskerChart | SOCR Box-and-Whisker Plot Activity]] and [[SOCR_EduMaterials_Activities_DotChart | Dot Plot Activity]]), we can generate plots that enable us to compare visually the 4 different CPI items (food, housing, transportation and medical-care) across the 5 years.
+Using the [http://socr.umich.edu/html/cha/ SOCR Charts] (see [[SOCR_EduMaterials_Activities_BoxAndWhiskerChart | SOCR Box-and-Whisker Plot Activity]] and [[SOCR_EduMaterials_Activities_DotChart | Dot Plot Activity]]), we can generate plots that enable us to compare visually the 4 different CPI items (food, housing, transportation and medical-care) across the 5 years.
 <center>[[Image:SOCR_EBook_Dinov_ANOVA2_022108_Fig1.jpg|500px]]</center>
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 {| class="wikitable" style="text-align:center; width:50%" border="1"
 |-
-| Variance Source || Degrees of Freedom (df) || Sum  of Squares (SS) || Mean Sum  of Squares (MS) || F-Statistics || [http://socr.ucla.edu/htmls/SOCR_Distributions.html P-value]
+| Variance Source || Degrees of Freedom (df) || Sum  of Squares (SS) || Mean Sum  of Squares (MS) || F-Statistics || [http://socr.umich.edu/html/dist/ P-value]
 |-
 | Main Effect A || df(A)=a-1 || <math>SS(A)=r\times b\times\sum_{i=1}^{a}{(\bar{y}_{i,.,.}-\bar{y})^2}</math> || <math>{SS(A)\over df(A)}</math> || <math>F_o = {MS(A)\over MSE}</math> || <math>P(F_{(df(A), df(E))} > F_o)</math>
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 ===SOCR ANOVA Calculations===
-[http://socr.ucla.edu/htmls/SOCR_Analyses.html SOCR Analyses] provide the tools to compute the [[SOCR_EduMaterials_AnalysisActivities_ANOVA_2 |2-way ANOVA]]. For example, the ANOVA for the Consumer Price Index data above may be easily computed - see the image below. Note that SOCR ANOVA requires the data to be entered in the [[AP_Statistics_Curriculum_2007_ANOVA_2Way#Motivational_Example | column format of the first table in this section]].
+[http://socr.umich.edu/html/ana/ SOCR Analyses] provide the tools to compute the [[SOCR_EduMaterials_AnalysisActivities_ANOVA_2 |2-way ANOVA]]. For example, the ANOVA for the Consumer Price Index data above may be easily computed - see the image below. Note that SOCR ANOVA requires the data to be entered in the [[AP_Statistics_Curriculum_2007_ANOVA_2Way#Motivational_Example | column format of the first table in this section]].
 <center>[[Image:SOCR_EBook_Dinov_ANOVA2_022108_Fig3.jpg|500px]]</center>
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 <hr>
-* SOCR Home page: http://www.socr.ucla.edu
+* SOCR Home page: http://www.socr.umich.edu.edu
 {{translate|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_ANOVA_2Way}}

← Older revision		Revision as of 14:40, 5 March 2014
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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_ANOVA_2Way}}	+	{{translate\|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_ANOVA_2Way}}

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 ===Clinical example: Knee Pain Study===
-The following data was collected in a large knee pain study by [http://www.masterdocs.com TMT Medical] and [http://socr.ucla.edu/ UCLA] investigators using an [https://www.masterdocs.com/kneepain/start.php online questionnaire]. The goals of the study was to identify the relations between a large number of clinical markers, patient phenotypes and imaging data of knee pain. One specific set of research questions the investigators were interested in related to the effects of mild treatment by applying hot or cold patches to the affected knee areas. The 2 tables below present identical information, however, the second table may be used to paste in the data into the [http://www.socr.ucla.edu/htmls/ana/ANOVA2Way_Analysis.html SOCR 2-way ANOVA Applet] or any other [http://socr.ucla.edu/htmls/SOCR_Analyses.html SOCR analysis tool]. Try to answer 2 types of questions:
+The following data was collected in a large knee pain study ('''N=6,046''') by [http://www.masterdocs.com TMT Medical] and [http://socr.ucla.edu/ UCLA] investigators using an [https://www.masterdocs.com/kneepain/start.php online questionnaire]. The goals of the study was to identify the relations between a large number of clinical markers, patient phenotypes and imaging data of knee pain. One specific set of research questions the investigators were interested in related to the effects of mild treatment by applying hot or cold patches to the affected knee areas. The 2 tables below present identical information, however, the second table may be used to paste in the data into the [http://www.socr.ucla.edu/htmls/ana/ANOVA2Way_Analysis.html SOCR 2-way ANOVA Applet] or any other [http://socr.ucla.edu/htmls/SOCR_Analyses.html SOCR analysis tool]. Try to answer 2 types of questions:
 * Are there significant effects of the type-of-diagnosis ('''DiagnosisType''') and/or the type-of-treatment ('''TreatmentType(Cold=1_Hot=2)''') on the observed frequencies of reported benefits?
 * Are there interactions between the type-of-diagnosis and the type-of-treatment?

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 * The variances of the populations must be equal.
 * The groups must have the same sample size.
 <hr>

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 ====Treatment Groups====
-Treatement Groups are formed by making all possible combinations of the two factors. For example, if the first factor has 5 levels and the second factor has 6 levels, then there will be <math>5\times6=30</math> different treatment groups.
+Treatment Groups are formed by making all possible combinations of the two factors. For example, if the first factor has 5 levels and the second factor has 6 levels, then there will be <math>5\times6=30</math> different treatment groups.
 ====Main Effect====

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 ====Main Effect====
-The main effect involves the independent variables one at a time. The interaction is ignored for this part. Just the rows or just the columns are used, not mixed. This is the part which is similar to the one-way analysis of variance. Each of the variances calculated to analyze the main effects are like the between variances
+The main effect involves the independent variables one at a time. The interaction is ignored for this part. Just the rows or just the columns are used, not mixed. This is the part which is similar to the one-way analysis of variance. Each of the variances calculated to analyze the main effects is like the between variances
 ====Interaction Effect====

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 <hr>
-===References===
+===[[Ebook_Problems_ANOVA_2Way|Problems]]===
 <hr>