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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, 18 Mar 2016 12:15:59 +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/2016/Mar/18/t1458303390c1ysuxqgu3wlacn.htm/, Retrieved Thu, 02 May 2024 12:11:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=294232, Retrieved Thu, 02 May 2024 12:11:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

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] [] [2016-03-18 12:15:59] [aeeb828bd20a6dc3c22e186b82add773] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1,1216
1,0569
1,0486
1,038
0,9865
0,9332
0,9052
0,8683
0,9232
0,8725
0,8903
0,8959
0,8766
0,9188
0,9838
0,9994
1,0731
1,1372
1,1248
1,189
1,2497
1,2046
1,222
1,2977
1,3113
1,2594
1,2199
1,1884
1,2023
1,2582
1,2743
1,2887
1,3106
1,3481
1,3738
1,4486
1,4976
1,5622
1,505
1,318
1,3029
1,3632
1,4303
1,4779
1,3829
1,2708
1,291
1,3583
1,368
1,4391
1,4127
1,3482
1,3108
1,2814
1,2502
1,2967
1,3206
1,3062
1,3242
1,361
1,3696
1,3711
1,3256
1,2498
1,1261
1,1053
1,1117
1,0953

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' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294232&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294232&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294232&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' @ jenkins.wessa.net






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
10.9616833333333330.08539423903640140.2533
21.106391666666670.1361274767423620.4211
31.29030.0748043630229730.2602
41.3966750.09621237044825750.2914
51.3349250.0540060960363820.1889

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 0.961683333333333 & 0.0853942390364014 & 0.2533 \tabularnewline
2 & 1.10639166666667 & 0.136127476742362 & 0.4211 \tabularnewline
3 & 1.2903 & 0.074804363022973 & 0.2602 \tabularnewline
4 & 1.396675 & 0.0962123704482575 & 0.2914 \tabularnewline
5 & 1.334925 & 0.054006096036382 & 0.1889 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294232&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]0.961683333333333[/C][C]0.0853942390364014[/C][C]0.2533[/C][/ROW]
[ROW][C]2[/C][C]1.10639166666667[/C][C]0.136127476742362[/C][C]0.4211[/C][/ROW]
[ROW][C]3[/C][C]1.2903[/C][C]0.074804363022973[/C][C]0.2602[/C][/ROW]
[ROW][C]4[/C][C]1.396675[/C][C]0.0962123704482575[/C][C]0.2914[/C][/ROW]
[ROW][C]5[/C][C]1.334925[/C][C]0.054006096036382[/C][C]0.1889[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294232&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294232&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
10.9616833333333330.08539423903640140.2533
21.106391666666670.1361274767423620.4211
31.29030.0748043630229730.2602
41.3966750.09621237044825750.2914
51.3349250.0540060960363820.1889






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha0.166413791432071
beta-0.0633047610004936
S.D.0.0908656793336189
T-STAT-0.69668505716076
p-value0.536129991869652

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 0.166413791432071 \tabularnewline
beta & -0.0633047610004936 \tabularnewline
S.D. & 0.0908656793336189 \tabularnewline
T-STAT & -0.69668505716076 \tabularnewline
p-value & 0.536129991869652 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294232&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.166413791432071[/C][/ROW]
[ROW][C]beta[/C][C]-0.0633047610004936[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0908656793336189[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.69668505716076[/C][/ROW]
[ROW][C]p-value[/C][C]0.536129991869652[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294232&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294232&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)
alpha0.166413791432071
beta-0.0633047610004936
S.D.0.0908656793336189
T-STAT-0.69668505716076
p-value0.536129991869652






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-2.30697201339877
beta-0.821930802717158
S.D.1.1764552644741
T-STAT-0.698650282367154
p-value0.535060530402963
Lambda1.82193080271716

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -2.30697201339877 \tabularnewline
beta & -0.821930802717158 \tabularnewline
S.D. & 1.1764552644741 \tabularnewline
T-STAT & -0.698650282367154 \tabularnewline
p-value & 0.535060530402963 \tabularnewline
Lambda & 1.82193080271716 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=294232&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-2.30697201339877[/C][/ROW]
[ROW][C]beta[/C][C]-0.821930802717158[/C][/ROW]
[ROW][C]S.D.[/C][C]1.1764552644741[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.698650282367154[/C][/ROW]
[ROW][C]p-value[/C][C]0.535060530402963[/C][/ROW]
[ROW][C]Lambda[/C][C]1.82193080271716[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=294232&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=294232&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-2.30697201339877
beta-0.821930802717158
S.D.1.1764552644741
T-STAT-0.698650282367154
p-value0.535060530402963
Lambda1.82193080271716


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')