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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 computationFri, 02 Dec 2011 05:48:00 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/02/t1322822897vhqf9wrqdbzgbt2.htm/, Retrieved Sun, 28 Apr 2024 20:04:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150090, Retrieved Sun, 28 Apr 2024 20:04:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- R PD    [Standard Deviation-Mean Plot] [standard dev] [2011-12-01 13:49:13] [22f8bc702946f784836540059d0d9516]
-   PD        [Standard Deviation-Mean Plot] [WS 9.9] [2011-12-02 10:48:00] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
117541.78
116587
116809
122819.55
116955
117186
117265
117536
117781
117928
120437.52
121753.21
119369.88
118622
118885
124998.3
119369
119647
119879
120075
120295
120538
123250.68
124631.03
122443.31
121532
121844
128241.75
122391
122644
122927
122909
123417
123756
126540.18
128088.74
125874.28
124817
124961
131499.9
125639
125851
125970
126322
126540
126733
129557.34
131179.77
128754.8
127890
127996
134790.6
128585
128851
129142
129334
129536
129944
132842.76
134447.96
132088.81
130902
131374
138243
131885
131839
132002
132005
132127
132116
134993.94
136459.55

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' @ wold.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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150090&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' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150090&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150090&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' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1118383.2552081.99731650126232.55
2120796.65752212.342842081986376.3
3123894.4983333332361.826735592736709.75
4127078.6908333332322.8412987296682.89999999999
5130176.1766666672434.267471758316900.60000000001
6133002.9416666672284.925606534487341

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 118383.255 & 2081.9973165012 & 6232.55 \tabularnewline
2 & 120796.6575 & 2212.34284208198 & 6376.3 \tabularnewline
3 & 123894.498333333 & 2361.82673559273 & 6709.75 \tabularnewline
4 & 127078.690833333 & 2322.841298729 & 6682.89999999999 \tabularnewline
5 & 130176.176666667 & 2434.26747175831 & 6900.60000000001 \tabularnewline
6 & 133002.941666667 & 2284.92560653448 & 7341 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150090&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]118383.255[/C][C]2081.9973165012[/C][C]6232.55[/C][/ROW]
[ROW][C]2[/C][C]120796.6575[/C][C]2212.34284208198[/C][C]6376.3[/C][/ROW]
[ROW][C]3[/C][C]123894.498333333[/C][C]2361.82673559273[/C][C]6709.75[/C][/ROW]
[ROW][C]4[/C][C]127078.690833333[/C][C]2322.841298729[/C][C]6682.89999999999[/C][/ROW]
[ROW][C]5[/C][C]130176.176666667[/C][C]2434.26747175831[/C][C]6900.60000000001[/C][/ROW]
[ROW][C]6[/C][C]133002.941666667[/C][C]2284.92560653448[/C][C]7341[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150090&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150090&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
1118383.2552081.99731650126232.55
2120796.65752212.342842081986376.3
3123894.4983333332361.826735592736709.75
4127078.6908333332322.8412987296682.89999999999
5130176.1766666672434.267471758316900.60000000001
6133002.9416666672284.925606534487341






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha334.33096235613
beta0.0155206629779633
S.D.0.00785597014169748
T-STAT1.97565198161633
p-value0.119394270717616

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 334.33096235613 \tabularnewline
beta & 0.0155206629779633 \tabularnewline
S.D. & 0.00785597014169748 \tabularnewline
T-STAT & 1.97565198161633 \tabularnewline
p-value & 0.119394270717616 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150090&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]334.33096235613[/C][/ROW]
[ROW][C]beta[/C][C]0.0155206629779633[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00785597014169748[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.97565198161633[/C][/ROW]
[ROW][C]p-value[/C][C]0.119394270717616[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150090&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150090&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)
alpha334.33096235613
beta0.0155206629779633
S.D.0.00785597014169748
T-STAT1.97565198161633
p-value0.119394270717616






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.65007935849971
beta0.884359811641413
S.D.0.429400389741995
T-STAT2.0595226105239
p-value0.108511280494053
Lambda0.115640188358587

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.65007935849971 \tabularnewline
beta & 0.884359811641413 \tabularnewline
S.D. & 0.429400389741995 \tabularnewline
T-STAT & 2.0595226105239 \tabularnewline
p-value & 0.108511280494053 \tabularnewline
Lambda & 0.115640188358587 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150090&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.65007935849971[/C][/ROW]
[ROW][C]beta[/C][C]0.884359811641413[/C][/ROW]
[ROW][C]S.D.[/C][C]0.429400389741995[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.0595226105239[/C][/ROW]
[ROW][C]p-value[/C][C]0.108511280494053[/C][/ROW]
[ROW][C]Lambda[/C][C]0.115640188358587[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150090&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150090&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-2.65007935849971
beta0.884359811641413
S.D.0.429400389741995
T-STAT2.0595226105239
p-value0.108511280494053
Lambda0.115640188358587


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')