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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software ModuleIan.Hollidayrwasp_Reddy-Moores Data Boxplot.wasp
Title produced by softwareBoxplot and Trimmed Means
Date of computationMon, 19 Oct 2009 18:02:53 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Oct/19/t12559682196je5fnyo4kjx0wy.htm/, Retrieved Mon, 29 Apr 2024 23:46:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=47876, Retrieved Mon, 29 Apr 2024 23:46:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact157

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Histogram and QQPlot] [] [2009-10-12 20:31:19] [c7a0efa05b625e9364575495aeacbca3]
- RMPD  [Boxplot and Trimmed Means] [Reddy Moores BoxPlot] [2009-10-12 20:55:12] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   P     [Boxplot and Trimmed Means] [Reddy Moores BoxPlot] [2009-10-14 08:10:58] [98fd0e87c3eb04e0cc2efde01dbafab6]
-           [Boxplot and Trimmed Means] [test2 boxplot] [2009-10-15 11:52:49] [bcdd3a0c82f5258468053a42cfd4486b]
F   P           [Boxplot and Trimmed Means] [Boxplot 5%] [2009-10-19 16:02:53] [51efb7625298d61c10eefc8c3cf6f080] [Current]
-   P             [Boxplot and Trimmed Means] [boxplot 10%] [2009-10-19 16:05:43] [bcdd3a0c82f5258468053a42cfd4486b]
-   P               [Boxplot and Trimmed Means] [Boxplot 20%] [2009-10-19 16:08:41] [bcdd3a0c82f5258468053a42cfd4486b]
Feedback Forum
2009-10-25 01:37:12 [ MAHRIA FATIMA] [reply] 
2009-10-25 01:46:04 [d29bee96b20030ffd24c3a205fce5315] [reply] 
as 5% trimmed histrograms and qqplots were not added below is a link on how the trimmed data should look.

http://www.freestatistics.org/blog/index.php?v=date/2009/Oct/20/t1255999703e0d7jxqd4le6i37.htm/

also below I have included how one may analyse and report the data

5% trimmed histrograms
By trimming the bottom 5% and the top 5% from the data the histogram follows a normal distribution curve. There are no obvious outliers like with the initial histogram as the data starts at 50 and ends at 75. It removes most of the outliers which may have potentially been part of another population but the two ends of the graph at 50 -52 and 70 + are still very low.

5% trimmed qqplot
By removing the top and bottom 5% of the data the QQplot shows that the majority of the points fall on the line until we reach 2 quantile where the points level off. However the results are now closer to what they should be if the data is normally distributed

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
70.80
69.60
69.87
67.47
67.60
67.13
66.27
66.73
68.07
67.80
64.80
64.60
64.20
64.20
63.67
61.00
59.67
59.67
59.80
60.73
59.40
58.07
57.47
66.67
66.33
64.33
64.00
63.33
61.33
64.67
63.00
60.67
63.67
60.67
61.67
62.33
60.33
59.67
60.33
59.33
58.67
58.67
59.33
57.33
59.33
56.00
53.67
58.67
49.33
70.73
72.87
66.00
66.07
66.00
66.27
64.00
63.67
63.73
63.33
63.53
63.53
62.87
59.53
62.80
60.80
59.80
56.67
57.67
58.40
55.47
56.20
71.33
70.33
69.00
66.00
66.00
63.33
65.33
64.33
64.00
61.67
63.67
64.67
61.67
62.00
61.33
63.67
61.33
62.33
59.67
59.33
61.67
58.67
58.00
56.67
59.67
58.00
57.00
57.67
58.67
55.33
56.00
55.67
53.33
53.67
51.00
47.00
4.33
71.53
68.67
65.67
66.73
67.33
66.73
66.87
65.80
64.73
65.47
63.60
64.07
64.67
63.73
62.53
61.93
62.67
62.80
61.33
62.60
59.13
61.27
59.47
57.87
59.73
61.40
58.80
58.33
57.47
57.13
55.00
51.53
70.00
68.67
67.67
66.00
65.67
65.67
63.67
63.67
64.00
62.00
62.00
61.67
61.67
63.33
61.00
62.33
60.33
60.33
60.67
57.67
58.33
58.00
57.33
56.67
58.00
55.33
55.67
54.67
56.33
55.00
55.00
54.67
54.33
49.00
48.33
49.67
43.67
6.33
3.00
72.73
73.00
70.80
70.07
71.67
71.07
70.67
70.73
70.73
68.60
69.60
66.47
67.07
68.67
66.93
65.93
68.87
66.53
65.80
66.60
66.00
65.00
66.80
65.60
66.00
65.67
64.67
65.07
64.67
65.07
65.20
64.87
63.47
62.60
64.07
63.73
64.67
61.60
61.60
60.47
61.27
63.00
61.47
60.87
61.67
62.87
62.40
59.73
60.13
58.80
59.60
58.93
60.13
58.20
58.27
58.27
55.07
53.87
52.33
47.20
37.93
66.67
67.33
65.33
66.00
65.67
66.67
65.67
65.00
64.67
66.67
63.67
63.33
63.67
63.33
63.67
63.00
61.67
61.33
60.67
60.00
61.67
61.33
58.67
60.33
59.67
59.33
59.67
61.00
61.00
60.00
60.00
58.67
58.33
58.00
56.33
54.67
55.33
54.00
52.67
44.00
72.73
70.07
70.67
72.07
68.80
68.80
67.47
66.73
66.53
66.00
67.60
66.00
66.00
66.53
65.80
64.27
64.67
64.60
64.13
65.47
62.93
63.53
62.13
63.87
64.67
63.33
63.13
62.80
62.40
62.40
62.60
61.47
62.20
63.00
61.80
59.73
60.33
60.13
59.53
59.00
55.93
41.87
36.33
65.67
65.00
66.33
64.00
62.33
61.33
63.00
63.67
62.00
61.33
64.67
62.67
64.00
61.00
60.67
59.67
60.33
56.67
56.67
54.33
51.00
51.00
47.00
71.67
71.47
70.47
69.53
70.73
69.93
68.73
67.53
64.40
66.20
66.20
63.07
64.27
65.00
63.67
62.67
64.67
64.67
64.47
61.93
63.27
62.93
61.93
64.07
61.40
62.00
62.60
62.40
61.60
59.87
63.20
62.40
60.40
61.87
59.13
59.53
57.80
57.67
61.00
56.33
54.20
54.73
52.67
17.60
68
65
64
64
64
62
61
60
60
62
60
59
61
60
60
58
58
60
58
59
56
54
51
47
Dataseries Y:
Download CSV
Histogram 
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=47876&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=47876&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=47876&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 72.249.76.132






Boxplot statistics
Placementlower whiskerlower hingemedianupper hingeupper whisker
yes54.736163.536670.73
no515860.6763.3366.67

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Placement & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
yes & 54.73 & 61 & 63.53 & 66 & 70.73 \tabularnewline
no & 51 & 58 & 60.67 & 63.33 & 66.67 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=47876&T=1

[TABLE]
[ROW][C]Boxplot statistics[/C][/ROW]
[ROW][C]Placement[/C][C]lower whisker[/C][C]lower hinge[/C][C]median[/C][C]upper hinge[/C][C]upper whisker[/C][/ROW]
[ROW][C]yes[/C][C]54.73[/C][C]61[/C][C]63.53[/C][C]66[/C][C]70.73[/C][/ROW]
[ROW][C]no[/C][C]51[/C][C]58[/C][C]60.67[/C][C]63.33[/C][C]66.67[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=47876&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=47876&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Boxplot statistics
Placementlower whiskerlower hingemedianupper hingeupper whisker
yes54.736163.536670.73
no515860.6763.3366.67






Trimmed Mean Equation
PlacementNo Placement
63.5360.2245029239766

\begin{tabular}{lllllllll}
\hline
Trimmed Mean Equation \tabularnewline
Placement & No Placement \tabularnewline
63.53 & 60.2245029239766 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=47876&T=2

[TABLE]
[ROW][C]Trimmed Mean Equation[/C][/ROW]
[ROW][C]Placement[/C][C]No Placement[/C][/ROW]
[ROW][C]63.53[/C][C]60.2245029239766[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=47876&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=47876&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Trimmed Mean Equation
PlacementNo Placement
63.5360.2245029239766


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 3 ; par2 = TRUE ; par3 = 5 ;
Parameters (R input):
par1 = 3 ; par2 = TRUE ; par3 = 5 ;
R code (references can be found in the software module):
bitmap(file='test1.png')
par1 <- as.numeric(par1)
par2<- as.logical(par2)
par3<-as.numeric(par3)
if(par3>45){par3<-45;warning('trim limited to 45%')}
if(par3<0){par3<-0;warning('negative trim makes no sense. Trim is zero.')}
x1<-x[y==1]
y1<-y[y==1]
lotrm<-as.integer(length(x1)*par3/100)
hitrm<-as.integer(length(x1)*(100-par3)/100)
srt<-order(x1,y1)
trmx1<-x1[srt[lotrm:hitrm]]
trmy1<-y1[srt[lotrm:hitrm]]
x2<-x[y==2]
y2<-y[y==2]
lotrm<-as.integer(length(x2)*par3/100)
hitrm<-as.integer(length(x2)*(100-par3)/100)
srt<-order(x2,y2)
trmx2<-x2[srt[lotrm:hitrm]]
trmy2<-y2[srt[lotrm:hitrm]]
xtrm<-c(trmx1,trmx2)
ytrm<-c(trmy1,trmy2)
r<-boxplot(xtrm~as.factor(ytrm), col=par1, notch=par2, names =c('yes', 'no'), main='Reddy and Moores Placements Data', xlab='Placement Student', ylab='Degree Grade')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('overview.htm','Boxplot statistics','Boxplot overview'),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Placement',1,TRUE)
a<-table.element(a,hyperlink('lower_whisker.htm','lower whisker','definition of lower whisker'),1,TRUE)
a<-table.element(a,hyperlink('lower_hinge.htm','lower hinge','definition of lower hinge'),1,TRUE)
a<-table.element(a,hyperlink('central_tendency.htm','median','definitions about measures of central tendency'),1,TRUE)
a<-table.element(a,hyperlink('upper_hinge.htm','upper hinge','definition of upper hinge'),1,TRUE)
a<-table.element(a,hyperlink('upper_whisker.htm','upper whisker','definition of upper whisker'),1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'yes',1,TRUE)
for (j in 1:5)
{
a<-table.element(a,r$stats[j,1])
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'no',1,TRUE)
for (j in 1:5)
{
a<-table.element(a,r$stats[j,2])
}
a<-table.row.end(a)
atable.save(a,file='mytable.tab')
tr.mns<-tapply(x,y,mean, trim=par3/100)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('trimmed_mean.htm','Trimmed Mean Equation','Trimmed Mean'),6,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Placement')
a<-table.element(a,'No Placement')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,tr.mns[1])
a<-table.element(a,tr.mns[2])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')