FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 12 Dec 2014 10:26:50 +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/2014/Dec/12/t14183800369vdjkbwbfqtxwke.htm/, Retrieved Thu, 16 May 2024 19:13:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266479, Retrieved Thu, 16 May 2024 19:13:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90

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] [] [2014-12-12 10:26:50] [b14d23c6a1d7f8e7693f95bb395763d5] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6900
7045
8044
8196
8257
8623
8644
8648
8961
8961
9116
9313
9360
9429
9485
9580
9606
9679
9726
9898
10028
10082
10091
10228
10337
10372
10425
10573
10680
10685
10771
10783
10849
10865
10954
10962
11026
11080
11210
11222
11236
11329
11334
11394
11648
11677
11816
11839
11874
11911
11918
12164
12177
12347
12624
12627
12782
12794
13142
13149
13240
13270
13445
13579
13601
13878
13957
14360
14687
14771
14779
14825
15119
16244
18983
19940
20067
20993
21545
21709
22165
22205
23533
23882
59646

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=266479&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=266479&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266479&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
18392.33333333333763.994090092962413
29766291.036392600963868
310688218.365831493016625
411400.9166666667278.043311973752813
512459.0833333333460.1279384007991275
614032.6666666667621.0233977927571585
720532.08333333332679.412094889938763

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8392.33333333333 & 763.99409009296 & 2413 \tabularnewline
2 & 9766 & 291.036392600963 & 868 \tabularnewline
3 & 10688 & 218.365831493016 & 625 \tabularnewline
4 & 11400.9166666667 & 278.043311973752 & 813 \tabularnewline
5 & 12459.0833333333 & 460.127938400799 & 1275 \tabularnewline
6 & 14032.6666666667 & 621.023397792757 & 1585 \tabularnewline
7 & 20532.0833333333 & 2679.41209488993 & 8763 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266479&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]8392.33333333333[/C][C]763.99409009296[/C][C]2413[/C][/ROW]
[ROW][C]2[/C][C]9766[/C][C]291.036392600963[/C][C]868[/C][/ROW]
[ROW][C]3[/C][C]10688[/C][C]218.365831493016[/C][C]625[/C][/ROW]
[ROW][C]4[/C][C]11400.9166666667[/C][C]278.043311973752[/C][C]813[/C][/ROW]
[ROW][C]5[/C][C]12459.0833333333[/C][C]460.127938400799[/C][C]1275[/C][/ROW]
[ROW][C]6[/C][C]14032.6666666667[/C][C]621.023397792757[/C][C]1585[/C][/ROW]
[ROW][C]7[/C][C]20532.0833333333[/C][C]2679.41209488993[/C][C]8763[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266479&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266479&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
18392.33333333333763.994090092962413
29766291.036392600963868
310688218.365831493016625
411400.9166666667278.043311973752813
512459.0833333333460.1279384007991275
614032.6666666667621.0233977927571585
720532.08333333332679.412094889938763






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1585.22980902047
beta0.188018884304604
S.D.0.0491521352527931
T-STAT3.82524346780885
p-value0.0123071700575418

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1585.22980902047 \tabularnewline
beta & 0.188018884304604 \tabularnewline
S.D. & 0.0491521352527931 \tabularnewline
T-STAT & 3.82524346780885 \tabularnewline
p-value & 0.0123071700575418 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266479&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1585.22980902047[/C][/ROW]
[ROW][C]beta[/C][C]0.188018884304604[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0491521352527931[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.82524346780885[/C][/ROW]
[ROW][C]p-value[/C][C]0.0123071700575418[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266479&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266479&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-1585.22980902047
beta0.188018884304604
S.D.0.0491521352527931
T-STAT3.82524346780885
p-value0.0123071700575418






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-12.8475420632778
beta2.03371402384475
S.D.0.957112912227343
T-STAT2.12484232305674
p-value0.0869703833621694
Lambda-1.03371402384475

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -12.8475420632778 \tabularnewline
beta & 2.03371402384475 \tabularnewline
S.D. & 0.957112912227343 \tabularnewline
T-STAT & 2.12484232305674 \tabularnewline
p-value & 0.0869703833621694 \tabularnewline
Lambda & -1.03371402384475 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266479&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-12.8475420632778[/C][/ROW]
[ROW][C]beta[/C][C]2.03371402384475[/C][/ROW]
[ROW][C]S.D.[/C][C]0.957112912227343[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.12484232305674[/C][/ROW]
[ROW][C]p-value[/C][C]0.0869703833621694[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.03371402384475[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266479&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266479&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-12.8475420632778
beta2.03371402384475
S.D.0.957112912227343
T-STAT2.12484232305674
p-value0.0869703833621694
Lambda-1.03371402384475


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')