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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 09 Dec 2008 08:08:58 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/09/t1228835797f51oc0cv0dki655.htm/, Retrieved Fri, 17 May 2024 06:17:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31507, Retrieved Fri, 17 May 2024 06:17:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact176

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Standard Deviation-Mean Plot] [step 1 eigen tijd...] [2008-12-09 15:08:58] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2008-12-15 15:25:11 [c00776cbed2786c9c4960950021bd861] [reply] 
Correcte oplossing, net zoals bij step 1 van de vorige tijdreeks.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
200,7
146,5
143,6
141,5
137,5
138,7
135,5
136,4
112,1
109
123,8
151,2
139,2
115,7
147,6
126,1
122,8
137,3
142
137,4
89,4
108
117,7
127,3
121
104,1
119,5
116,7
96,1
125
118,8
114,9
79,3
90,5
87,8
109,4
88,9
97,4
112
86,8
82,9
105,2
89,1
85,5
87,1
85,2
88,2
104
96,4
82,3
114,1
88,9
93,6
101,8
96,6
93,7
68,4
68,7
81,2
85,1
75,4
71,6
83
72,3
90,2
89
84,9
90,9
46,6
55,4
88,7
76
76,9
72,1
90
92,3
78
93,9
84,5
80,4
60,5
75,3
91,5
105,2
92,7

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31507&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31507&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31507&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1139.70833333333323.177907127000991.7
2125.87516.527504623835758.2
3106.92515.114960980913845.7
492.69166666666679.5177784204406729.1
589.233333333333313.164575975171445.7
67714.117300797892744.3
783.383333333333311.959008269412644.7

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 139.708333333333 & 23.1779071270009 & 91.7 \tabularnewline
2 & 125.875 & 16.5275046238357 & 58.2 \tabularnewline
3 & 106.925 & 15.1149609809138 & 45.7 \tabularnewline
4 & 92.6916666666667 & 9.51777842044067 & 29.1 \tabularnewline
5 & 89.2333333333333 & 13.1645759751714 & 45.7 \tabularnewline
6 & 77 & 14.1173007978927 & 44.3 \tabularnewline
7 & 83.3833333333333 & 11.9590082694126 & 44.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31507&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]139.708333333333[/C][C]23.1779071270009[/C][C]91.7[/C][/ROW]
[ROW][C]2[/C][C]125.875[/C][C]16.5275046238357[/C][C]58.2[/C][/ROW]
[ROW][C]3[/C][C]106.925[/C][C]15.1149609809138[/C][C]45.7[/C][/ROW]
[ROW][C]4[/C][C]92.6916666666667[/C][C]9.51777842044067[/C][C]29.1[/C][/ROW]
[ROW][C]5[/C][C]89.2333333333333[/C][C]13.1645759751714[/C][C]45.7[/C][/ROW]
[ROW][C]6[/C][C]77[/C][C]14.1173007978927[/C][C]44.3[/C][/ROW]
[ROW][C]7[/C][C]83.3833333333333[/C][C]11.9590082694126[/C][C]44.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31507&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31507&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:

Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1139.70833333333323.177907127000991.7
2125.87516.527504623835758.2
3106.92515.114960980913845.7
492.69166666666679.5177784204406729.1
589.233333333333313.164575975171445.7
67714.117300797892744.3
783.383333333333311.959008269412644.7






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.934457348249224
beta0.154053819346330
S.D.0.0468689021624138
T-STAT3.28690906419123
p-value0.0217876921556009

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.934457348249224 \tabularnewline
beta & 0.154053819346330 \tabularnewline
S.D. & 0.0468689021624138 \tabularnewline
T-STAT & 3.28690906419123 \tabularnewline
p-value & 0.0217876921556009 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31507&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.934457348249224[/C][/ROW]
[ROW][C]beta[/C][C]0.154053819346330[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0468689021624138[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.28690906419123[/C][/ROW]
[ROW][C]p-value[/C][C]0.0217876921556009[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31507&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31507&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:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.934457348249224
beta0.154053819346330
S.D.0.0468689021624138
T-STAT3.28690906419123
p-value0.0217876921556009






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.71142631361000
beta0.94939347076972
S.D.0.372918522258539
T-STAT2.54584691857038
p-value0.0515257511484007
Lambda0.0506065292302791

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -1.71142631361000 \tabularnewline
beta & 0.94939347076972 \tabularnewline
S.D. & 0.372918522258539 \tabularnewline
T-STAT & 2.54584691857038 \tabularnewline
p-value & 0.0515257511484007 \tabularnewline
Lambda & 0.0506065292302791 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31507&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.71142631361000[/C][/ROW]
[ROW][C]beta[/C][C]0.94939347076972[/C][/ROW]
[ROW][C]S.D.[/C][C]0.372918522258539[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.54584691857038[/C][/ROW]
[ROW][C]p-value[/C][C]0.0515257511484007[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0506065292302791[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31507&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31507&T=3

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


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

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-1.71142631361000
beta0.94939347076972
S.D.0.372918522258539
T-STAT2.54584691857038
p-value0.0515257511484007
Lambda0.0506065292302791


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')