SOCR Activity ANOVA SnailsSexualDimorphism - Revision history

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

2020-03-03T17:07:18Z

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

IvoDinov: /* Exploratory data analyses (EDA) */

2012-11-29T04:08:40Z

‎Exploratory data analyses (EDA)

IvoDinov: /* Data Summary */

2012-11-29T04:07:11Z

‎Data Summary

IvoDinov at 04:03, 29 November 2012

2012-11-29T04:03:04Z

IvoDinov: /* Quantitative data analysis (QDA) */

2012-11-29T00:07:49Z

‎Quantitative data analysis (QDA)

IvoDinov: /* Quantitative data analysis (QDA) */

2012-11-29T00:05:03Z

‎Quantitative data analysis (QDA)

IvoDinov: /* Quantitative data analysis (QDA) */

2012-11-29T00:03:18Z

‎Quantitative data analysis (QDA)

IvoDinov at 00:01, 29 November 2012

2012-11-29T00:01:51Z

IvoDinov: /* See also */

2012-11-28T23:54:56Z

‎See also

IvoDinov: /* Practice problems */

2012-11-28T23:54:12Z

‎Practice problems

← Older revision		Revision as of 17:07, 3 March 2020
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	* Baur H, Reichenbach F, Neubert E (2012) Data from: Sexual dimorphism in shells of Cochlostoma septemspirale (Caenogastropoda, Cyclophoroidea, Diplommatinidae, Cochlostomatinae). Dryad Digital Repository. doi:10.5061/dryad.ns7v7		* Baur H, Reichenbach F, Neubert E (2012) Data from: Sexual dimorphism in shells of Cochlostoma septemspirale (Caenogastropoda, Cyclophoroidea, Diplommatinidae, Cochlostomatinae). Dryad Digital Repository. doi:10.5061/dryad.ns7v7

−	{{translate\|pageName=http://wiki.~~stat~~.~~ucla~~.edu~~/socr~~/index.php?title=SOCR_Activity_ANOVA_SnailsSexualDimorphism}}	+	"{{translate\|pageName=http://wiki.socr.umich.edu/index.php?title=SOCR_Activity_ANOVA_SnailsSexualDimorphism}}

← Older revision		Revision as of 04:08, 29 November 2012
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	<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig6.jpg\|500px]]</center>		<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig6.jpg\|500px]]</center>
		+
		+	<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig10.png\|500px]]</center>
		+
		+	<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig11.png\|500px]]</center>
		+
		+	<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig12.png\|500px]]</center>

	==Quantitative data analysis (QDA)==		==Quantitative data analysis (QDA)==

@@ Line 29: / Line 29: @@
 {| class="wikitable" style="text-align:center; width:30%" border="1"
 |-
-!||||shell.h||||shell.w||||aperture.h||||aperture.w||||whorl.w||||rib.n||||
+!colspan="2"|CategoryLabel||colspan="2"|shell.h||colspan="2"|shell.w||colspan="2"|aperture.h||colspan="2"|aperture.w||colspan="2"|whorl.w||colspan="2"|rib.n||rowspan="2"|category
 |-
-|Sex||Locality||Shell.H_Mean||Shell.H_SD||Shell.W_Mean||Shell.W_SD||Aperture.H_Mean||Aperture.H_SD||Aperture.W_Mean||Aperture.W_SD||Whorl.W_Mean||Whorl.W_SD||rib.n_Mean||rib.n_SD||category
+|Sex||Locality||Shell.H_Mean||Shell.H_SD||Shell.W_Mean||Shell.W_SD||Aperture.H_Mean||Aperture.H_SD||Aperture.W_Mean||Aperture.W_SD||Whorl.W_Mean||Whorl.W_SD||rib.n_Mean||rib.n_SD
 |-
 |1||1||7446||204||3841||115||2567||100||2534||94||3195||79||32||3||11

@@ Line 11: / Line 11: @@
 The data set below is a reduced version of the [http://datadryad.org/resource/doi:10.5061/dryad.367ns290 Sexual Dimorphism in Snails dataset].
-==Data Description==
+==Data==
 * '''Number of cases''': 112
 * '''Variable Names''':
@@ Line 23: / Line 24: @@
 ** '''rib.n''': Number of ribs on the last whorl on the shell, in micrometers.
-==Dataset==
+===Data Summary===
 <center>
 {| class="wikitable" style="text-align:center; width:30%" border="1"

@@ Line 292: / Line 292: @@
 : [[AP_Statistics_Curriculum_2007_ANOVA_2Way| See EBook's Standard 2-Way ANOVA Table]]
 {| class="wikitable" style="text-align:center; width:30%" border="1"
 |-
@@ Line 306: / Line 307: @@
 |Total:||111||13170123.10714|| || ||
 |}
 :Variable: Locality

@@ Line 285: / Line 285: @@
 Press the '''Calculate''' button. This should bring up the results page with the following text:
-ANOVA results
+:ANOVA results
-Sample Size = 112
+:Sample Size = 112
-	Dependent Variable = Shell.h
+:Dependent Variable = Shell.h
-	Independent Variable(s) = 	Locality	Sex	Interaction Locality: Sex
+:Independent Variable(s) = 	Locality	Sex	Interaction Locality: Sex
+: *** Two-Way Analysis of Variance Results ***
-	*** Two-Way Analysis of Variance Results ***
+: [[AP_Statistics_Curriculum_2007_ANOVA_2Way| See EBook's Standard 2-Way ANOVA Table]]
 {| class="wikitable" style="text-align:center; width:30%" border="1"
@@ Line 309: / Line 307: @@
 |}
-	Variable: Locality
+:Variable: Locality
-	Degrees of Freedom = 2
+:Degrees of Freedom = 2
-	Residual Sum of Squares = 1912452.01667
+:Residual Sum of Squares = 1912452.01667
-	Mean Square Error = 956226.00833
+:Mean Square Error = 956226.00833
-	F-Value = 18.39651
+:F-Value = 18.39651
-	P-Value = .00000
+:P-Value = .00000
-	Variable: Interaction Locality: Sex
+:Variable: Sex
-	Degrees of Freedom = 2
+:Degrees of Freedom = 1
-	Residual Sum of Squares = 161192.25392
+:Residual Sum of Squares = 6197835.01312
-	Mean Square Error = 80596.12696
+:Mean Square Error = 6197835.01312
-	F-Value = 1.55056
+:F-Value = 119.23809
-	P-Value = .21690
+:P-Value = .00000
-	Residual:	Degrees of Freedom = 106
+:Variable: Interaction Locality: Sex
-	Residual Sum of Squares = 5509737.01359
+:Degrees of Freedom = 2
-	Mean Square Error = 51978.65107
+:Residual Sum of Squares = 161192.25392
-	F-Value = 29.47512
+:Mean Square Error = 80596.12696
-	P-Value = 0.0
+:F-Value = 1.55056
-	R-Square = .60598
+:Residual:	Degrees of Freedom = 106
-|}
+:Residual Sum of Squares = 5509737.01359
 For the effect of locality and the interaction effects, you can need to conduct post-hoc t-tests, in this case, a pooled independent samples t-test. You can do this in a similar manner to the two-way ANOVA; however will have to enter the values in a slightly different way (see below). Note that your critical t-values must have Bonferoni correction.

@@ Line 296: / Line 296: @@
 {| class="wikitable" style="text-align:center; width:30%" border="1"
 |-
-!||Variance Source||DF||RSS||MSS||F-Statistics||P-value
+!Variance Source||DF||RSS||MSS||F-Statistics||P-value
 |-
 |Main Effect: Locality||2||1912452.01667||956226.00833||18.39651||0.00000

@@ Line 258: / Line 258: @@
 Various data patterns may be observed and explored using different types of graphical tools for plotting variables. Which of the following graphs are more or less likely to demonstrate visually significant grouping differences?
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig1.jpg|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig1.jpg|500px]]</center>
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig2.jpg|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig2.jpg|500px]]</center>
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig3.jpg|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig3.jpg|500px]]</center>
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig4.jpg|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig4.jpg|500px]]</center>
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig5.jpg|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig5.jpg|500px]]</center>
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig6.jpg|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig6.jpg|500px]]</center>
 ==Quantitative data analysis (QDA)==
 Open the [http://www.socr.ucla.edu/htmls/ana/ANOVA2Way_Analysis.html SOCR ANOVA-Two Way applet] (requires Java-enabled browser).
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig7.png|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig7.png|500px]]</center>
 Copy and paste the Sex and Locality data into the first two columns. Pick one of the other six variables (in this case, Shell.h) and copy that data into the third. Use the ctrl + c command and the "paste" button in the applet. Name the three columns appropriately.
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig8.png|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig8.png|500px]]</center>
 Next, click on the “mapping tab”.  Select "sex" and "locality" as the independent variables. Next, name the third column as your dependent variable.  We will use "shell.h" in the following example, but it is recommended that you use another in its place to explore these measures.  Make sure you click “turn the interaction” on,
-<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig9.png|700px]]</center>
+<center>[[Image:SOCR_Activity_ANOVA_SnailsSexualDimorphism_Fig9.png|500px]]</center>
 Press the '''Calculate''' button. This should bring up the results page with the following text:
-{| class="wikitable" style="text-align:center; width:30%" border="1"
+ANOVA results
-|-
+Sample Size = 112
 	Dependent Variable = Shell.h
 	Independent Variable(s) = 	Locality	Sex	Interaction Locality: Sex
@@ Line 295: / Line 292: @@
 	*** Two-Way Analysis of Variance Results ***
-	Standard 2-Way ANOVA Table. See:
+	[[AP_Statistics_Curriculum_2007_ANOVA_2Way| See EBook's Standard 2-Way ANOVA Table]]
-	http://wiki.stat.ucla.edu/socr/index.php/AP_Statistics_Curriculum_2007_ANOVA_2Way
-	==============================================================================================
+{| class="wikitable" style="text-align:center; width:30%" border="1"
-	Variance Source 	 DF 	 RSS 		    MSS 		 F-Statistics 	  P-value
+|-
-	Main Effect: Locality	2	1912452.01667	  956226.00833	 18.39651	 .00000
+!||Variance Source||DF||RSS||MSS||F-Statistics||P-value
-	Main Effect: Sex	1	6197835.01312	   6197835.01312	 119.23809	 .00000
+|-
-	Interaction Locality: Sex	2	161192.25392	   80596.12696	 1.55056		 .21690
+|Main Effect: Locality||2||1912452.01667||956226.00833||18.39651||0.00000
-	Error		106	5509737.01359	   51978.65107
+|-
-	Total:		111	13170123.10714
+|Main Effect: Sex||1||6197835.01312||6197835.01312||119.23809||0.00000
-	==============================================================================================
+|-
 	Variable: Locality
@@ Line 335: / Line 338: @@
 	R-Square = .60598
 |}
 For the effect of locality and the interaction effects, you can need to conduct post-hoc t-tests, in this case, a pooled independent samples t-test. You can do this in a similar manner to the two-way ANOVA; however will have to enter the values in a slightly different way (see below). Note that your critical t-values must have Bonferoni correction.

@@ Line 351: / Line 351: @@
 ==See also==
 * [[SOCR_EduMaterials_AnalysisActivities_ANOVA_2|SOCR 2-Way ANOVA Wiki Page]]
-* [[hSOCR_EduMaterials_Activities_BaseballSalaryWins| Baseball Salary/Wins Activity]]
+* [[SOCR_EduMaterials_Activities_BaseballSalaryWins| Baseball Salary/Wins Activity]]
 ==References==

@@ Line 347: / Line 347: @@
 * Finish the post-hoc t-tests for the effect of locality on shell width.
 * Complete an analysis similar to the one above, using one of the variables other than shell.h as -your dependent variable. See if that variable would be of use in classifying the snails.
-* Complete a new analysis of this [[http://wiki.stat.ucla.edu/socr/index.php/SOCR_Data_April2011_NI_IBS_Pain| pain/neuroimaging data set]]. Use sex and disease group as independent variables. Choose for your dependent variable one of the brain volumes.
+* Complete a new analysis of this [[SOCR_Data_April2011_NI_IBS_Pain| pain/neuroimaging data set]]. Use sex and disease group as independent variables. Choose for your dependent variable one of the brain volumes.
 ==See also==