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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 computationThu, 11 Dec 2008 07:52:49 -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/11/t12290073114tl3dmyddbttyj9.htm/, Retrieved Sat, 25 May 2024 07:58:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32285, Retrieved Sat, 25 May 2024 07:58:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact168

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 Mean Plo...] [2008-12-11 14:31:22] [1ce0d16c8f4225c977b42c8fa93bc163]
-    D    [Standard Deviation-Mean Plot] [Standard Mean Plo...] [2008-12-11 14:52:49] [8758b22b4a10c08c31202f233362e983] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9 733
9 259
9 864
9 215
10 103
9 380
9 896
10 117
9 451
9 700
9 081
9 084
9 743
8 587
9 731
9 563
9 998
9 437
10 038
9 918
9 252
9 737
9 035
9 133
9 487
8 700
9 627
8 947
9 283
8 829
9 947
9 628
9 318
9 605
8 640
9 214
9 567
8 547
9 185
9 470
9 123
9 278
10 170
9 434
9 655
9 429
8 739
9 552
9 687
9 019
9 672
9 206
9 069
9 788
10 312
10 105
9 863
9 656
9 295
9 946
9 701
9 049
10 190
9 706
9 765
9 893
9 994
10 433
10 073
10 112
9 266
9 820
10 097
9 115
10 411
9 678
10 408
10 153
10 368
10 581
10 597
10 680
9 738
9 556

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32285&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32285&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32285&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
19573.58333333333377.5096526961771036
29514.33333333333440.2696143652581451
39268.75415.5452332888571307
49345.75424.5710402062511623
59634.83333333333410.6878561042621293
69833.5384.5775722671681384
710115.1666666667491.1513066872631565

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9573.58333333333 & 377.509652696177 & 1036 \tabularnewline
2 & 9514.33333333333 & 440.269614365258 & 1451 \tabularnewline
3 & 9268.75 & 415.545233288857 & 1307 \tabularnewline
4 & 9345.75 & 424.571040206251 & 1623 \tabularnewline
5 & 9634.83333333333 & 410.687856104262 & 1293 \tabularnewline
6 & 9833.5 & 384.577572267168 & 1384 \tabularnewline
7 & 10115.1666666667 & 491.151306687263 & 1565 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32285&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]9573.58333333333[/C][C]377.509652696177[/C][C]1036[/C][/ROW]
[ROW][C]2[/C][C]9514.33333333333[/C][C]440.269614365258[/C][C]1451[/C][/ROW]
[ROW][C]3[/C][C]9268.75[/C][C]415.545233288857[/C][C]1307[/C][/ROW]
[ROW][C]4[/C][C]9345.75[/C][C]424.571040206251[/C][C]1623[/C][/ROW]
[ROW][C]5[/C][C]9634.83333333333[/C][C]410.687856104262[/C][C]1293[/C][/ROW]
[ROW][C]6[/C][C]9833.5[/C][C]384.577572267168[/C][C]1384[/C][/ROW]
[ROW][C]7[/C][C]10115.1666666667[/C][C]491.151306687263[/C][C]1565[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32285&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32285&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
19573.58333333333377.5096526961771036
29514.33333333333440.2696143652581451
39268.75415.5452332888571307
49345.75424.5710402062511623
59634.83333333333410.6878561042621293
69833.5384.5775722671681384
710115.1666666667491.1513066872631565






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-109.382778365261
beta0.0551377154085796
S.D.0.0532745954982468
T-STAT1.03497201420129
p-value0.348119763465048

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -109.382778365261 \tabularnewline
beta & 0.0551377154085796 \tabularnewline
S.D. & 0.0532745954982468 \tabularnewline
T-STAT & 1.03497201420129 \tabularnewline
p-value & 0.348119763465048 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32285&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-109.382778365261[/C][/ROW]
[ROW][C]beta[/C][C]0.0551377154085796[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0532745954982468[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.03497201420129[/C][/ROW]
[ROW][C]p-value[/C][C]0.348119763465048[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32285&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32285&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-109.382778365261
beta0.0551377154085796
S.D.0.0532745954982468
T-STAT1.03497201420129
p-value0.348119763465048






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.14214635052983
beta1.11014507929659
S.D.1.22113746282176
T-STAT0.909107379877867
p-value0.404982886480262
Lambda-0.110145079296594

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.14214635052983 \tabularnewline
beta & 1.11014507929659 \tabularnewline
S.D. & 1.22113746282176 \tabularnewline
T-STAT & 0.909107379877867 \tabularnewline
p-value & 0.404982886480262 \tabularnewline
Lambda & -0.110145079296594 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32285&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.14214635052983[/C][/ROW]
[ROW][C]beta[/C][C]1.11014507929659[/C][/ROW]
[ROW][C]S.D.[/C][C]1.22113746282176[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.909107379877867[/C][/ROW]
[ROW][C]p-value[/C][C]0.404982886480262[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.110145079296594[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32285&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32285&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-4.14214635052983
beta1.11014507929659
S.D.1.22113746282176
T-STAT0.909107379877867
p-value0.404982886480262
Lambda-0.110145079296594


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')