AP Statistics Curriculum 2007 NonParam 2MedianPair - Revision history

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

2020-03-03T17:23:54Z

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

Dinov: /* The Wilcoxon Signed Rank Test */

2014-10-26T14:18:56Z

‎The Wilcoxon Signed Rank Test

IvoDinov: /* Comparison and Validation of Automated Brain Volume Segmentation Methods */ table reformating

2010-08-06T20:15:41Z

‎Comparison and Validation of Automated Brain Volume Segmentation Methods: table reformating

IvoDinov: /* Comparison and Validation of Automated Brain Volume Segmentation Methods */ fixed figure 6

2010-08-06T20:10:19Z

‎Comparison and Validation of Automated Brain Volume Segmentation Methods: fixed figure 6

IvoDinov: /* Practice Problems */ entered a new brain parsing example data

2010-08-06T19:44:27Z

‎Practice Problems: entered a new brain parsing example data

Jenny at 21:01, 28 June 2010

2010-06-28T21:01:07Z

Jenny at 17:40, 28 June 2010

2010-06-28T17:40:35Z

IvoDinov: /* The Wilcoxon Signed Rank Test */ added the details about the calculations of the Wilcoxon Signed-Rank Statistic and P-values

2009-08-19T17:05:14Z

‎The Wilcoxon Signed Rank Test: added the details about the calculations of the Wilcoxon Signed-Rank Statistic and P-values

IvoDinov: /* Moths Memory acquired at the Caterpillar Stage */

2008-03-11T23:40:22Z

‎Moths Memory acquired at the Caterpillar Stage

IvoDinov: /* Practice Problems */

2008-03-11T23:40:08Z

‎Practice Problems

← Older revision		Revision as of 17:23, 3 March 2020
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	* SOCR Home page: http://www.socr.ucla.edu		* SOCR Home page: http://www.socr.ucla.edu

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 * '''One-Sided P-Value''' = the one-sided (uni-directional) probability value expressing the strength of the evidence in the data to reject the null hypothesis that the two populations have the same medians (based on Gaussian, standard Normal, distribution).
 * '''Two-Sided P-Value''' = the double-sided (non-directional) probability value expressing the strength of the evidence in the data to reject the null hypothesis that the two populations have the same medians (based on Gaussian, standard Normal, distribution).
 ==Practice Problems==

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 === Comparison and Validation of Automated Brain Volume Segmentation Methods===
 [[Image:SOCR_EBook_NonParam_SignTest_080610_Fig6.png|250px|thumbnail|right| Brain Parsing]]
-[http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=04359071 Automated brain volume segmentation] is an important stem in many modern computational brain mapping studies. Suppose we have two separate and competing versions of automated brain parsing (segmentation) algorithms that automatically tessellate (partition) the brain into [http://www.loni.ucla.edu/twiki/bin/view/CCB/CCBPrincipalsMeetings_IndividResearcherProj_ZhuowenTu 57 separate regions of interest (ROI's)]. An important question then is how consistent are these 2 different techniques, across the 57 ROIs. We can use the ROI volume as a measure of the resulting automated brain parcellation and compare the paired differences between the 2 methods across all ROIs. The image shows an example of a brain parcellated into these 57 regions and the table below contains the volumes of the 57 ROIs for the 2 different brain tessellation techniques. Use appropriate [http://socr.ucla.edu/htmls/SOCR_Analyses.html SOCR Analyses] and relevant [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] to argue whether or not the 2 different methods are consistent and agree on their ROI labels.
+[http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=04359071 Automated brain volume segmentation] is an important step in many modern computational brain mapping studies. Suppose we have two separate and competing versions of automated brain parsing (segmentation) algorithms that automatically tessellate (partition) the brain into [http://www.loni.ucla.edu/twiki/bin/view/CCB/CCBPrincipalsMeetings_IndividResearcherProj_ZhuowenTu 57 separate regions of interest (ROI's)]. An important question then is how consistent are these 2 different techniques, across the 57 ROIs. We can use the ROI volume as a measure of the resulting automated brain parcellation and compare the paired differences between the 2 methods across all ROIs. The image shows an example of a brain parcellated into these 57 regions and the table below contains the volumes of the 57 ROIs for the 2 different brain tessellation techniques. Use appropriate [http://socr.ucla.edu/htmls/SOCR_Analyses.html SOCR Analyses] and relevant [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] to argue whether or not the 2 different methods are consistent and agree on their ROI labels.
 <center>
 {| class="wikitable" style="text-align:center; width:70%" border="1"
 |-
-! Index || Volume_Intensity || ROI_Name || Method1 || Method2
+! Index || Volume_Intensity || ROI_Name || Method1_Volume || Method2_Volume
 |-
 | 1 || 0 || Background || 9236455 || 9241667

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 === Comparison and Validation of Automated Brain Volume Segmentation Methods===
-[[Image:EBook_Logo.jpg|150px|thumbnail|right| [[EBook]] ]]
+[[Image:SOCR_EBook_NonParam_SignTest_080610_Fig6.png|250px|thumbnail|right| Brain Parsing]]
 [http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=04359071 Automated brain volume segmentation] is an important stem in many modern computational brain mapping studies. Suppose we have two separate and competing versions of automated brain parsing (segmentation) algorithms that automatically tessellate (partition) the brain into [http://www.loni.ucla.edu/twiki/bin/view/CCB/CCBPrincipalsMeetings_IndividResearcherProj_ZhuowenTu 57 separate regions of interest (ROI's)]. An important question then is how consistent are these 2 different techniques, across the 57 ROIs. We can use the ROI volume as a measure of the resulting automated brain parcellation and compare the paired differences between the 2 methods across all ROIs. The image shows an example of a brain parcellated into these 57 regions and the table below contains the volumes of the 57 ROIs for the 2 different brain tessellation techniques. Use appropriate [http://socr.ucla.edu/htmls/SOCR_Analyses.html SOCR Analyses] and relevant [http://socr.ucla.edu/htmls/SOCR_Charts.html SOCR Charts] to argue whether or not the 2 different methods are consistent and agree on their ROI labels.
 <center>

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 |-
 | 10 || N || 50 || +
 |}
 </center>

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 Then the distribution of <math>B_s \sim Binomial(n=16, p=8/16=0.5)</math>.
-For our data, <math>B_s = \max{(N_+ , N_-)}=\max{13,3}=13</math> and the probability that such [[AP_Statistics_Curriculum_2007_Distrib_Binomial |binomial variable]] exceeds 13 is <math>P(Bin(16,0.5,13))=0.010635</math>. Therefore, we can reject the null hypothesis <math>H_o</math> and regard as significant the effect of developing acute renal failure on the outcome from sepsis.
+For our data, <math>B_s = \max{(N_+ , N_-)}=\max{13,3}=13</math> and the probability that such [[AP_Statistics_Curriculum_2007_Distrib_Binomial |binomial variable]] exceeds 13 is <math>P(Bin(16,0.5,13))=0.010635</math>. Therefore, we can reject the null hypothesis <math>H_o</math> and regard as the significant effect of developing acute renal failure on the outcome from sepsis.
 <center>[[Image:SOCR_EBook_Dinov_NonParam_SignTest_022308_Fig2.jpg|600px]]</center>

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 ===Example===
-A set of 12 identical twins are given psychological tests to determine whether the ''first born'' of the set tends to be more aggressive than the ''second born''.  Each twin is scored according to aggressiveness; a higher score indicates greater aggressiveness. Because of the natural pairing in a set of twins these data can be considered paired.
+A set of 12 identical twins is given psychological tests to determine whether the ''first born'' of the set tends to be more aggressive than the ''second born''.  Each twin is scored according to aggressiveness; a higher score indicates greater aggressiveness. Because of the natural pairing in a set of twins these data can be considered paired.
 <center>
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 === Moths Memory acquired at the Caterpillar Stage===
-See [[AP_Statistics_Curriculum_2007_Contingency_Indep#Moths_Memory_from_Caterpillar_Stage |this example and analysis of data of moth odor memory demonstrated at post metamorphosis, that was acquired at the larvae stage (caterpillar)]].
+See [[AP_Statistics_Curriculum_2007_Contingency_Indep#Moths_Memory_from_Caterpillar_Stage |this example and analysis of data of moth odor memory demonstrated at post metamorphosis, which was acquired at the larvae stage (caterpillar)]].
 ==References==

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 : One-Sided p-value = 0.011
 : Two-Sided p-value = 0.022
 ==Practice Problems==