SOCR EduMaterials AnalysisActivities ANOVA 1 - Revision history

Annie: /* This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the resu

2007-08-06T20:42:51Z

/* This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the resu

Annie: /* This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the resu

2007-08-06T20:42:30Z

Annie: /* This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the resu

2007-07-26T10:24:03Z

IvoDinov: /* This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the resu

2007-04-13T04:51:43Z

IvoDinov: /* This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the resu

2007-04-13T04:50:58Z

IvoDinov at 00:53, 18 January 2007

2007-01-18T00:53:00Z

IvoDinov at 00:48, 18 January 2007

2007-01-18T00:48:53Z

IvoDinov at 21:47, 17 January 2007

2007-01-17T21:47:40Z

IvoDinov at 21:44, 17 January 2007

2007-01-17T21:44:48Z

IvoDinov at 21:35, 17 January 2007

2007-01-17T21:35:27Z

@@ Line 7: / Line 7: @@
 * '''SOCR ANOVA''': Go to SOCR [http://www.socr.ucla.edu/htmls/SOCR_Analyses.html Analyses]  and select '''One-way ANOVA''' from the drop-down list of SOCR analyses, in the left panel. There are three ways to enter data in the SOCR ANOVA applet
 ** Click on the '''Example''' button on the top of the right panel.
-**'''Generate random data by clicking on the '''Random Example''' button
+**Generate random data by clicking on the '''Random Example''' button
 ** Pasting your own data from a spreadsheet into SOCR ANOVA data table.
 <center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig1.jpg|400px]]</center>

@@ Line 10: / Line 10: @@
 ** Pasting your own data from a spreadsheet into SOCR ANOVA data table.
 <center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig1.jpg|400px]]</center>
-*Now, map the dependent and independent vartiables, by going to the '''Mapping''' tab, selecting columns from the available list and sending them to the corresponding bins on the right (see figure). Then press Compute button to carry the ANOVA analysis.
+*Now, map the dependent and independent vartiables, by going to the '''Mapping''' tab, selecting columns from the available list and sending them to the corresponding bins on the right (see figure). Then press '''Calculate''' button to carry the ANOVA analysis.
 <center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig2.jpg|400px]]</center>
 * The quantitative results results will be in the tab labeled '''Results'''. The '''Graphs''' tab contains the QQ Normal plot for the residuals. In this case, we have a very significant grouping effect, indicated by the p-value < <math>10^{-4}</math>.

@@ Line 3: / Line 3: @@
 == This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the results ==
-* '''ANOVA Background''': Analysis of variance (ANOVA) is a class of statistical analysis models and  procedures, which compare means by splitting the overall observed variance into different parts. The initial techniques of the analysis of variance were pioneered by the statistician and geneticist R. A. Fisher in the 1920s and 1930s, and is sometimes known as Fisher's ANOVA or Fisher's analysis of variance, due to the use of Fisher's F-distribution as part of the test of statistical significance. [http://en.wikipedia.org/wiki/ANOVA Read more about ANOVA].
+* '''ANOVA Background''': Analysis of variance (ANOVA) is a class of statistical analysis models and  procedures, which compare means by splitting the overall observed variance into different parts. The initial techniques of the analysis of variance were pioneered by the statistician and geneticist R. A. Fisher in the 1920s and 1930s, and is sometimes known as Fisher's ANOVA or Fisher's analysis of variance, due to the use of Fisher's F-distribution as part of the test of statistical significance. [http://en.wikipedia.org/wiki/Simple_linear_regression Read more about ANOVA].
 * '''SOCR ANOVA''': Go to SOCR [http://www.socr.ucla.edu/htmls/SOCR_Analyses.html Analyses]  and select '''One-way ANOVA''' from the drop-down list of SOCR analyses, in the left panel. There are three ways to enter data in the SOCR ANOVA applet

@@ Line 7: / Line 7: @@
 * '''SOCR ANOVA''': Go to SOCR [http://www.socr.ucla.edu/htmls/SOCR_Analyses.html Analyses]  and select '''One-way ANOVA''' from the drop-down list of SOCR analyses, in the left panel. There are three ways to enter data in the SOCR ANOVA applet
 ** Click on the '''Example''' button on the top of the right panel.
-*'''* Generate random data by clicking on the '''Random Example''' button
+**'''Generate random data by clicking on the '''Random Example''' button
 ** Pasting your own data from a spreadsheet into SOCR ANOVA data table.
 <center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig1.jpg|400px]]</center>

@@ Line 3: / Line 3: @@
 == This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the results ==
-* '''ANOVA Background''': Analysis of variance (ANOVA) is a class of statistical analysis models and  procedures, which compare means by splitting the overall observed variance into different parts. The initial techniques of the analysis of variance were pioneered by the statistician and geneticist R. A. Fisher in the 1920s and 1930s, and is sometimes known as Fisher's ANOVA or Fisher's analysis of variance, due to the use of Fisher's F-distribution as part of the test of statistical significance. [ht'''tp://en.wikipedia.org/wiki/ANOVA Read more about ANOVA].
+* '''ANOVA Background''': Analysis of variance (ANOVA) is a class of statistical analysis models and  procedures, which compare means by splitting the overall observed variance into different parts. The initial techniques of the analysis of variance were pioneered by the statistician and geneticist R. A. Fisher in the 1920s and 1930s, and is sometimes known as Fisher's ANOVA or Fisher's analysis of variance, due to the use of Fisher's F-distribution as part of the test of statistical significance. [http://en.wikipedia.org/wiki/ANOVA Read more about ANOVA].
 * '''SOCR ANOVA''': Go to SOCR [http://www.socr.ucla.edu/htmls/SOCR_Analyses.html Analyses]  and select '''One-way ANOVA''' from the drop-down list of SOCR analyses, in the left panel. There are three ways to enter data in the SOCR ANOVA applet

@@ Line 13: / Line 13: @@
 <center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig2.jpg|400px]]</center>
 * The quantitative results results will be in the tab labeled '''Results'''. The '''Graphs''' tab contains the QQ Normal plot for the residuals. In this case, we have a very significant grouping effect, indicated by the p-value < <math>10^{-4}</math>.
-<center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig3.jpg|400px]]</center>
+<center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig4.jpg|400px]]</center>

@@ Line 3: / Line 3: @@
 == This SOCR Activity demonstrates the utilization of the SOCR Analyses package for statistical Computing. In particular, it shows how to use Analysis of Variance (ANOVA) and how to interpret the results ==
-* '''ANOVA Background''':
+* '''ANOVA Background''': Analysis of variance (ANOVA) is a class of statistical analysis models and  procedures, which compare means by splitting the overall observed variance into different parts. The initial techniques of the analysis of variance were pioneered by the statistician and geneticist R. A. Fisher in the 1920s and 1930s, and is sometimes known as Fisher's ANOVA or Fisher's analysis of variance, due to the use of Fisher's F-distribution as part of the test of statistical significance. [http://en.wikipedia.org/wiki/ANOVA | Read more about ANOVA].
-* '''SOCR ANOVA''': Go to SOCR [http://www.socr.ucla.edu/htmls/SOCR_Analyses.html Analyses]  and select the the 0ne-way ANOVA tab from the right panel. <center>[[Image:SOCR_AnalysisActivities_ANOVA_Dinov_011707_Fig1.jpg|400px]]</center>
+* '''SOCR ANOVA''': Go to SOCR [http://www.socr.ucla.edu/htmls/SOCR_Analyses.html Analyses]  and select the the 0ne-way ANOVA tab from the drop-down list of SOCR analyses, in the left panel. There are three ways to enter data in the SOCR ANOVA applet
 **Now, click the '''Raw Data''' check-box in the left panel, select '''Laplace Distribution''' (or any other distribution you want to sample from), choose the '''sample-size''' to be 100 (keep the center, Mu (<math>\mu=0</math>)) and click '''Sample'''. Then go to the '''Data''' tab, in the right panel. There you should see the 100 random Laplace observations stored as a column vector.
 ** Next, go back to the '''Data Generation''' tab from the right panel and change the center of the Laplace distribution (set Mu=20, say). Click '''Sample''' again and you will see the list of randomly generated data in the '''Data''' tab expand to 200 (as you just sampled another set of 100 random Laplace observations).