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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 computationFri, 02 Dec 2011 09:41:25 -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/t1322836924x3bolooe1qkdzo0.htm/, Retrieved Mon, 29 Apr 2024 04:48:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150259, Retrieved Mon, 29 Apr 2024 04:48:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

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] [WS9] [2011-12-02 14:41:25] [7a9891c1925ad1e8ddfe52b8c5887b5b] [Current]
- R           [Standard Deviation-Mean Plot] [] [2011-12-04 14:06:12] [aa6b3f8e5b050429abaad141c7204e84]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
68897
38683
44720
39525
45315
50380
40600
36279
42438
38064
31879
11379
70249
39253
47060
41697
38708
49267
39018
32228
40870
39383
34571
12066
70938
34077
45409
40809
37013
44953
37848
32745
39401
34931
33008
8620
68906
39556
50669
36432
40891
48428
36222
33425
39401
37967
34801
12657
69116
41519
51321
38529
41547
52073
38401
40898
40439
41888
37898
8771
68184
50530
47221
41756
45633
48138
39486
39341
41117
41629
29722
7054
56676
34870
35117
30169
30936
35699
33228
27733
33666
35429
27438
8170

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150259&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150259&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150259&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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
140679.916666666713138.186435372557518
240364.166666666713234.001860451158183
338312.666666666713942.593154746662318
439946.2513041.080554261156249
541866.666666666713729.544184536960345
641650.916666666714210.663611005361130
732427.583333333310727.02833931348506

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 40679.9166666667 & 13138.1864353725 & 57518 \tabularnewline
2 & 40364.1666666667 & 13234.0018604511 & 58183 \tabularnewline
3 & 38312.6666666667 & 13942.5931547466 & 62318 \tabularnewline
4 & 39946.25 & 13041.0805542611 & 56249 \tabularnewline
5 & 41866.6666666667 & 13729.5441845369 & 60345 \tabularnewline
6 & 41650.9166666667 & 14210.6636110053 & 61130 \tabularnewline
7 & 32427.5833333333 & 10727.028339313 & 48506 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150259&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]40679.9166666667[/C][C]13138.1864353725[/C][C]57518[/C][/ROW]
[ROW][C]2[/C][C]40364.1666666667[/C][C]13234.0018604511[/C][C]58183[/C][/ROW]
[ROW][C]3[/C][C]38312.6666666667[/C][C]13942.5931547466[/C][C]62318[/C][/ROW]
[ROW][C]4[/C][C]39946.25[/C][C]13041.0805542611[/C][C]56249[/C][/ROW]
[ROW][C]5[/C][C]41866.6666666667[/C][C]13729.5441845369[/C][C]60345[/C][/ROW]
[ROW][C]6[/C][C]41650.9166666667[/C][C]14210.6636110053[/C][C]61130[/C][/ROW]
[ROW][C]7[/C][C]32427.5833333333[/C][C]10727.028339313[/C][C]48506[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150259&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150259&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
140679.916666666713138.186435372557518
240364.166666666713234.001860451158183
338312.666666666713942.593154746662318
439946.2513041.080554261156249
541866.666666666713729.544184536960345
641650.916666666714210.663611005361130
732427.583333333310727.02833931348506






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha904.482934431883
beta0.311325298316841
S.D.0.0750921502734911
T-STAT4.14591002099382
p-value0.00894552494582307

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 904.482934431883 \tabularnewline
beta & 0.311325298316841 \tabularnewline
S.D. & 0.0750921502734911 \tabularnewline
T-STAT & 4.14591002099382 \tabularnewline
p-value & 0.00894552494582307 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150259&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]904.482934431883[/C][/ROW]
[ROW][C]beta[/C][C]0.311325298316841[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0750921502734911[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.14591002099382[/C][/ROW]
[ROW][C]p-value[/C][C]0.00894552494582307[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150259&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150259&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)
alpha904.482934431883
beta0.311325298316841
S.D.0.0750921502734911
T-STAT4.14591002099382
p-value0.00894552494582307






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.58610716316097
beta0.951787212169712
S.D.0.207326432238185
T-STAT4.59076636729203
p-value0.00588950986860031
Lambda0.0482127878302882

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.58610716316097 \tabularnewline
beta & 0.951787212169712 \tabularnewline
S.D. & 0.207326432238185 \tabularnewline
T-STAT & 4.59076636729203 \tabularnewline
p-value & 0.00588950986860031 \tabularnewline
Lambda & 0.0482127878302882 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150259&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.58610716316097[/C][/ROW]
[ROW][C]beta[/C][C]0.951787212169712[/C][/ROW]
[ROW][C]S.D.[/C][C]0.207326432238185[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.59076636729203[/C][/ROW]
[ROW][C]p-value[/C][C]0.00588950986860031[/C][/ROW]
[ROW][C]Lambda[/C][C]0.0482127878302882[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150259&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150259&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-0.58610716316097
beta0.951787212169712
S.D.0.207326432238185
T-STAT4.59076636729203
p-value0.00588950986860031
Lambda0.0482127878302882


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')