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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationWed, 22 Dec 2010 17:02:50 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/22/t1293037309purjqbwdv7wp20g.htm/, Retrieved Mon, 06 May 2024 03:18:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114411, Retrieved Mon, 06 May 2024 03:18:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact156

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]
-   PD      [Standard Deviation-Mean Plot] [] [2010-12-22 17:02:50] [7b390cc0228d34e5578246b07143e3df] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3010
2910
3840
3580
3140
3550
3250
2820
2260
2060
2120
2210
2190
2180
2350
2440
2370
2440
2610
3040
3190
3120
3170
3600
3420
3650
4180
2960
2710
2950
3030
3770
4740
4450
5550
5580
5890
7480
10450
6360
6710
6200
4490
3480
2520
1920
2010
1950
2240
2370
2840
2700
2980
3290
3300
3000
2330
2190
1970
2170
2830
3190
3550
3240
3450
3570
3230
3260
2700

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 6 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114411&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]6 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114411&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114411&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 time6 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12895.83333333333615.4593012662591780
22725472.9693436154191420
33915.83333333333995.320490489312870
449552684.709227526078530
52615461.2926501592121330

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2895.83333333333 & 615.459301266259 & 1780 \tabularnewline
2 & 2725 & 472.969343615419 & 1420 \tabularnewline
3 & 3915.83333333333 & 995.32049048931 & 2870 \tabularnewline
4 & 4955 & 2684.70922752607 & 8530 \tabularnewline
5 & 2615 & 461.292650159212 & 1330 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114411&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]2895.83333333333[/C][C]615.459301266259[/C][C]1780[/C][/ROW]
[ROW][C]2[/C][C]2725[/C][C]472.969343615419[/C][C]1420[/C][/ROW]
[ROW][C]3[/C][C]3915.83333333333[/C][C]995.32049048931[/C][C]2870[/C][/ROW]
[ROW][C]4[/C][C]4955[/C][C]2684.70922752607[/C][C]8530[/C][/ROW]
[ROW][C]5[/C][C]2615[/C][C]461.292650159212[/C][C]1330[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114411&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114411&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
12895.83333333333615.4593012662591780
22725472.9693436154191420
33915.83333333333995.320490489312870
449552684.709227526078530
52615461.2926501592121330






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-2014.32467575719
beta0.894468495236294
S.D.0.167405907146293
T-STAT5.34311190377909
p-value0.0128193219168355

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -2014.32467575719 \tabularnewline
beta & 0.894468495236294 \tabularnewline
S.D. & 0.167405907146293 \tabularnewline
T-STAT & 5.34311190377909 \tabularnewline
p-value & 0.0128193219168355 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114411&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2014.32467575719[/C][/ROW]
[ROW][C]beta[/C][C]0.894468495236294[/C][/ROW]
[ROW][C]S.D.[/C][C]0.167405907146293[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.34311190377909[/C][/ROW]
[ROW][C]p-value[/C][C]0.0128193219168355[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114411&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114411&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-2014.32467575719
beta0.894468495236294
S.D.0.167405907146293
T-STAT5.34311190377909
p-value0.0128193219168355






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-14.5404652058653
beta2.6206017037088
S.D.0.304987737556928
T-STAT8.59248219190993
p-value0.00331385751140524
Lambda-1.6206017037088

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -14.5404652058653 \tabularnewline
beta & 2.6206017037088 \tabularnewline
S.D. & 0.304987737556928 \tabularnewline
T-STAT & 8.59248219190993 \tabularnewline
p-value & 0.00331385751140524 \tabularnewline
Lambda & -1.6206017037088 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114411&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14.5404652058653[/C][/ROW]
[ROW][C]beta[/C][C]2.6206017037088[/C][/ROW]
[ROW][C]S.D.[/C][C]0.304987737556928[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.59248219190993[/C][/ROW]
[ROW][C]p-value[/C][C]0.00331385751140524[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.6206017037088[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114411&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114411&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-14.5404652058653
beta2.6206017037088
S.D.0.304987737556928
T-STAT8.59248219190993
p-value0.00331385751140524
Lambda-1.6206017037088


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')