Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_BoxplotAndScatterplotMatrix.wasp

Title produced by software

Boxplot and Trimmed Means

Date of computation

Sun, 02 Nov 2014 21:41:51 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/02/t1414965513ga8jw1dprv7u2ck.htm/, Retrieved Wed, 15 May 2024 20:24:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=250820, Retrieved Wed, 15 May 2024 20:24:55 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

The notched box plot were computed without trimming and it's clear that there are outliers in both conditions. Trimming will be applied and these will be computed again. At the moment there's no overlap of the medians on the notched box plots suggesting that the two samples are significantly different. Moreover, the scatterplot matrix also indicates that there is not a significant relationship between the two variables.

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Boxplot and Trimmed Means] [Scatterplot matri...] [2014-11-02 21:41:51] [62b51d559bc719e5f1335bbddef15a28] [Current]
- RMPD    [Histogram, QQplot and Density] [DISTRIBUTIONAL PL...] [2014-11-02 22:21:53] [2cad1f9538403305b60c1151cd056c3e] 
- RMPD    [Histogram, QQplot and Density] [DISTRIBUTIONAL PL...] [2014-11-02 22:24:19] [2cad1f9538403305b60c1151cd056c3e] 
- RMPD    [Histogram, QQplot and Density] [DISTRIBUTIONAL PL...] [2014-11-02 22:27:38] [2cad1f9538403305b60c1151cd056c3e] 

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

70.80	66.67
69.60	66.33
69.87	64.33
67.47	64.00
67.60	63.33
67.13	61.33
66.27	64.67
66.73	63.00
68.07	60.67
67.80	63.67
64.80	60.67
64.60	61.67
64.20	62.33
64.20	60.33
63.67	59.67
61.00	60.33
59.67	59.33
59.67	58.67
59.80	58.67
60.73	59.33
59.40	57.33
58.07	59.33
57.47	56.00
70.73	53.67
72.87	58.67
66.00	49.33
66.07	71.33
66.00	70.33
66.27	69.00
64.00	66.00
63.67	66.00
63.73	63.33
63.33	65.33
63.53	64.33
63.53	64.00
62.87	61.67
59.53	63.67
62.80	64.67
60.80	61.67
59.80	62.00
56.67	61.33
57.67	63.67
58.40	61.33
55.47	62.33
56.20	59.67
71.53	59.33
68.67	61.67
65.67	58.67
66.73	58.00
67.33	56.67
66.73	59.67
66.87	58.00
65.80	57.00
64.73	57.67
65.47	58.67
63.60	55.33
64.07	56.00
64.67	55.67
63.73	53.33
62.53	53.67
61.93	51.00
62.67	47.00
62.80	4.33
61.33	70.00
62.60	68.67
59.13	67.67
61.27	66.00
59.47	65.67
57.87	65.67
59.73	63.67
61.40	63.67
58.80	64.00
58.33	62.00
57.47	62.00
57.13	61.67
55.00	61.67
51.53	63.33
72.73	61.00
73.00	62.33
70.80	60.33
70.07	60.33
71.67	60.67
71.07	57.67
70.67	58.33
70.73	58.00
70.73	57.33
68.60	56.67
69.60	58.00
66.47	55.33
67.07	55.67
68.67	54.67
66.93	56.33
65.93	55.00
68.87	55.00
66.53	54.67
65.80	54.33
66.60	49.00
66.00	48.33
65.00	49.67
66.80	43.67
65.60	6.33
66.00	3.00
65.67	66.67
64.67	67.33
65.07	65.33
64.67	66.00
65.07	65.67
65.20	66.67
64.87	65.67
63.47	65.00
62.60	64.67
64.07	66.67
63.73	63.67
64.67	63.33
61.60	63.67
61.60	63.33
60.47	63.67
61.27	63.00
63.00	61.67
61.47	61.33
60.87	60.67
61.67	60.00
62.87	61.67
62.40	61.33
59.73	58.67
60.13	60.33
58.80	59.67
59.60	59.33
58.93	59.67
60.13	61.00
58.20	61.00
58.27	60.00
58.27	60.00
55.07	58.67
53.87	58.33
52.33	58.00
47.20	56.33
37.93	54.67
72.73	55.33
70.07	54.00
70.67	52.67
72.07	44.00
68.80	65.67
68.80	65.00
67.47	66.33
66.73	64.00
66.53	62.33
66.00	61.33
67.60	63.00
66.00	63.67
66.00	62.00
66.53	61.33
65.80	64.67
64.27	62.67
64.67	64.00
64.60	61.00
64.13	60.67
65.47	59.67
62.93	60.33
63.53	56.67
62.13	56.67
63.87	54.33
64.67	51.00
63.33	51.00
63.13	47.00
62.80	68.00
62.40	65.00
62.40	64.00
62.60	64.00
61.47	64.00
62.20	62.00
63.00	61.00
61.80	60.00
59.73	60.00
60.33	62.00
60.13	60.00
59.53	59.00
59.00	61.00
55.93	60.00
41.87	60.00
36.33	58.00
71.67	58.00
71.47	60.00
70.47	58.00
69.53	59.00
70.73	56.00
69.93	54.00
68.73	51.00
67.53	47.00

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=250820&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=250820&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250820&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gertrude Mary Cox' @ cox.wessa.net

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
placement	52.33	60.8	64.07	66.73	73
noplacement	49	57.67	60.67	63.67	71.33

\begin{tabular}{lllllllll}
\hline
Boxplot statistics \tabularnewline
Variable & lower whisker & lower hinge & median & upper hinge & upper whisker \tabularnewline
placement & 52.33 & 60.8 & 64.07 & 66.73 & 73 \tabularnewline
noplacement & 49 & 57.67 & 60.67 & 63.67 & 71.33 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=250820&T=1

[TABLE]
[ROW][C]Boxplot statistics[/C][/ROW]
[ROW][C]Variable[/C][C]lower whisker[/C][C]lower hinge[/C][C]median[/C][C]upper hinge[/C][C]upper whisker[/C][/ROW]
[ROW][C]placement[/C][C]52.33[/C][C]60.8[/C][C]64.07[/C][C]66.73[/C][C]73[/C][/ROW]
[ROW][C]noplacement[/C][C]49[/C][C]57.67[/C][C]60.67[/C][C]63.67[/C][C]71.33[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=250820&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250820&T=1

As an alternative you can also use a QR Code:

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

Boxplot statistics
Variable	lower whisker	lower hinge	median	upper hinge	upper whisker
placement	52.33	60.8	64.07	66.73	73
noplacement	49	57.67	60.67	63.67	71.33

Boxplot Notches
Variable	lower bound	median	upper bound
placement	63.39	64.07	64.75
noplacement	59.98	60.67	61.36

\begin{tabular}{lllllllll}
\hline
Boxplot Notches \tabularnewline
Variable & lower bound & median & upper bound \tabularnewline
placement & 63.39 & 64.07 & 64.75 \tabularnewline
noplacement & 59.98 & 60.67 & 61.36 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=250820&T=2

[TABLE]
[ROW][C]Boxplot Notches[/C][/ROW]
[ROW][C]Variable[/C][C]lower bound[/C][C]median[/C][C]upper bound[/C][/ROW]
[ROW][C]placement[/C][C]63.39[/C][C]64.07[/C][C]64.75[/C][/ROW]
[ROW][C]noplacement[/C][C]59.98[/C][C]60.67[/C][C]61.36[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=250820&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250820&T=2

As an alternative you can also use a QR Code:

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

Boxplot Notches
Variable	lower bound	median	upper bound
placement	63.39	64.07	64.75
noplacement	59.98	60.67	61.36

Boxplot Means
Variable	trimmed mean	unbiased SD
placement	63.58	5.51
noplacement	59.3	8.52

\begin{tabular}{lllllllll}
\hline
Boxplot Means \tabularnewline
Variable & trimmed mean & unbiased SD \tabularnewline
placement & 63.58 & 5.51 \tabularnewline
noplacement & 59.3 & 8.52 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=250820&T=3

[TABLE]
[ROW][C]Boxplot Means[/C][/ROW]
[ROW][C]Variable[/C][C]trimmed mean[/C][C]unbiased SD[/C][/ROW]
[ROW][C]placement[/C][C]63.58[/C][C]5.51[/C][/ROW]
[ROW][C]noplacement[/C][C]59.3[/C][C]8.52[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=250820&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=250820&T=3

As an alternative you can also use a QR Code:

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

Boxplot Means
Variable	trimmed mean	unbiased SD
placement	63.58	5.51
noplacement	59.3	8.52

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 3 ; par2 = TRUE ; par3 = 0 ;

Parameters (R input):

par1 = 3 ; par2 = TRUE ; par3 = 0 ;

R code (references can be found in the software module):

par3 <- '0'
par2 <- 'TRUE'
par1 <- '3'
par1 <- as.numeric(par1) #colour
par2<- as.logical(par2) # Notches ?
par3<-as.numeric(par3) # % trim
if(par3>45){par3<-45;warning('trim limited to 45%')}
if(par3<0){par3<-0;warning('negative trim makes no sense. Trim is zero.')}
lotrm<-as.integer(length(y[1,])*par3/100)+1
hitrm<-as.integer(length(y[1,])*(100-par3)/100)
y1<-array(dim=c(dim(y)[1], hitrm-lotrm+1), dimnames=list(dimnames(y)[[1]], 1:(hitrm-lotrm+1) ))
for(i in 1:dim(y)[1]){
tmp<-order(y[i,])
y1[i,]<- y[i, tmp[lotrm:hitrm] ]
}
bitmap(file='test2.png')
pairs(t(y))
dev.off()
y<-y1
z <- as.data.frame(t(y))
bitmap(file='test1.png')
(r<-boxplot(z ,xlab=xlab,ylab=ylab,main=main,notch=par2,col=par1))
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,'Variable',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)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
for (j in 1:5)
{
a<-table.element(a,round(r$stats[j,i], digits=2))
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
if (par2){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Boxplot Notches',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,'lower bound',1,TRUE)
a<-table.element(a,'median',1,TRUE)
a<-table.element(a,'upper bound',1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
a<-table.element(a,round(r$conf[1,i], digits=2))
a<-table.element(a, round(r$stats[3,i], digits=2))
a<-table.element(a,round(r$conf[2,i], digits=2))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Boxplot Means',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',1,TRUE)
a<-table.element(a,hyperlink('trimmed_mean.htm','trimmed mean','definition of trimmed mean'),1,TRUE)
a<-table.element(a,hyperlink('unbiased1.htm','unbiased SD','definition of unbiased SD'),1,TRUE)
a<-table.row.end(a)
for (i in 1:length(y[,1]))
{
a<-table.row.start(a)
a<-table.element(a,dimnames(t(x))[[2]][i],1,TRUE)
a<-table.element(a,round(mean(unlist(z[i]), trim=par3/100, na.rm=TRUE), digits=2))
a<-table.element(a,round(sd(unlist(z[i]), na.rm=TRUE), digits=2))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code