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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 computationThu, 22 Nov 2007 06:01:29 -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/2007/Nov/22/t1195736017haxyj5arttsrxmz.htm/, Retrieved Thu, 02 May 2024 17:58:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5962, Retrieved Thu, 02 May 2024 17:58:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsW10Q1G7
Estimated Impact185

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [standard Deviatio...] [2007-11-22 13:01:29] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
140
132
117
114
113
110
107
103
98
98
137
148
147
139
130
128
127
123
118
114
108
111
151
159
158
148
138
137
136
133
126
120
114
116
153
162
161
149
139
135
130
127
122
117
112
113
149
157
157
147
137
132
125
123
117
114
111
112
144
150
149
134
123
116
117
111
105
102
95
93
124
130
124

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5962&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5962&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5962&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1118.08333333333317.03716970377278
2129.58333333333316.395444674073527
3136.7516.068744364590145
4134.2516.93906190383147
5130.7516.080055404698844
6116.58333333333316.599333685057339

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 118.083333333333 & 17.0371697037727 & 8 \tabularnewline
2 & 129.583333333333 & 16.3954446740735 & 27 \tabularnewline
3 & 136.75 & 16.0687443645901 & 45 \tabularnewline
4 & 134.25 & 16.939061903831 & 47 \tabularnewline
5 & 130.75 & 16.0800554046988 & 44 \tabularnewline
6 & 116.583333333333 & 16.5993336850573 & 39 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5962&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]118.083333333333[/C][C]17.0371697037727[/C][C]8[/C][/ROW]
[ROW][C]2[/C][C]129.583333333333[/C][C]16.3954446740735[/C][C]27[/C][/ROW]
[ROW][C]3[/C][C]136.75[/C][C]16.0687443645901[/C][C]45[/C][/ROW]
[ROW][C]4[/C][C]134.25[/C][C]16.939061903831[/C][C]47[/C][/ROW]
[ROW][C]5[/C][C]130.75[/C][C]16.0800554046988[/C][C]44[/C][/ROW]
[ROW][C]6[/C][C]116.583333333333[/C][C]16.5993336850573[/C][C]39[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5962&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5962&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
1118.08333333333317.03716970377278
2129.58333333333316.395444674073527
3136.7516.068744364590145
4134.2516.93906190383147
5130.7516.080055404698844
6116.58333333333316.599333685057339






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha19.6856803008933
beta-0.024796699829421
S.D.0.0213445102395748
T-STAT-1.16173665036574
p-value0.309939100277691

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 19.6856803008933 \tabularnewline
beta & -0.024796699829421 \tabularnewline
S.D. & 0.0213445102395748 \tabularnewline
T-STAT & -1.16173665036574 \tabularnewline
p-value & 0.309939100277691 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5962&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]19.6856803008933[/C][/ROW]
[ROW][C]beta[/C][C]-0.024796699829421[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0213445102395748[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.16173665036574[/C][/ROW]
[ROW][C]p-value[/C][C]0.309939100277691[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5962&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5962&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)
alpha19.6856803008933
beta-0.024796699829421
S.D.0.0213445102395748
T-STAT-1.16173665036574
p-value0.309939100277691






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.7244663714464
beta-0.189818399342055
S.D.0.162009194843660
T-STAT-1.17165201348746
p-value0.30636331805341
Lambda1.18981839934206

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.7244663714464 \tabularnewline
beta & -0.189818399342055 \tabularnewline
S.D. & 0.162009194843660 \tabularnewline
T-STAT & -1.17165201348746 \tabularnewline
p-value & 0.30636331805341 \tabularnewline
Lambda & 1.18981839934206 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5962&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.7244663714464[/C][/ROW]
[ROW][C]beta[/C][C]-0.189818399342055[/C][/ROW]
[ROW][C]S.D.[/C][C]0.162009194843660[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.17165201348746[/C][/ROW]
[ROW][C]p-value[/C][C]0.30636331805341[/C][/ROW]
[ROW][C]Lambda[/C][C]1.18981839934206[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5962&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5962&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)
alpha3.7244663714464
beta-0.189818399342055
S.D.0.162009194843660
T-STAT-1.17165201348746
p-value0.30636331805341
Lambda1.18981839934206


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')