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 computationSun, 14 Dec 2008 09:04:44 -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/14/t1229270753f27c53b9j166ei3.htm/, Retrieved Wed, 15 May 2024 21:22:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33454, Retrieved Wed, 15 May 2024 21:22:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

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] [paper standard de...] [2008-12-14 16:04:44] [4940af498c7c54f3992f17142bd40069] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
111078
150739
159129
157928
147768
137507
136919
136151
133001
125554
119647
114158
116193
152803
161761
160942
149470
139208
134588
130322
126611
122401
117352
112135
112879
148729
157230
157221
146681
136524
132111
125326
122716
116615
113719
110737
112093
143565
149946
149147
134339
122683
115614
116566
111272
104609
101802
94542
93051
124129
130374
123946
114971
105531
104919
104782
101281
94545
93248
84031
87486

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33454&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33454&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33454&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'George Udny Yule' @ 72.249.76.132






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1135798.2516118.522147037748051
2135315.517506.118159089449626
3131707.33333333317338.475141788746493
4121348.16666666718777.409913526655404
510623414440.845794922446343

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 135798.25 & 16118.5221470377 & 48051 \tabularnewline
2 & 135315.5 & 17506.1181590894 & 49626 \tabularnewline
3 & 131707.333333333 & 17338.4751417887 & 46493 \tabularnewline
4 & 121348.166666667 & 18777.4099135266 & 55404 \tabularnewline
5 & 106234 & 14440.8457949224 & 46343 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33454&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]135798.25[/C][C]16118.5221470377[/C][C]48051[/C][/ROW]
[ROW][C]2[/C][C]135315.5[/C][C]17506.1181590894[/C][C]49626[/C][/ROW]
[ROW][C]3[/C][C]131707.333333333[/C][C]17338.4751417887[/C][C]46493[/C][/ROW]
[ROW][C]4[/C][C]121348.166666667[/C][C]18777.4099135266[/C][C]55404[/C][/ROW]
[ROW][C]5[/C][C]106234[/C][C]14440.8457949224[/C][C]46343[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33454&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33454&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
1135798.2516118.522147037748051
2135315.517506.118159089449626
3131707.33333333317338.475141788746493
4121348.16666666718777.409913526655404
510623414440.845794922446343






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha8722.63430786719
beta0.0643527767615868
S.D.0.0656796881718252
T-STAT0.979797233403925
p-value0.399440660159534

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 8722.63430786719 \tabularnewline
beta & 0.0643527767615868 \tabularnewline
S.D. & 0.0656796881718252 \tabularnewline
T-STAT & 0.979797233403925 \tabularnewline
p-value & 0.399440660159534 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33454&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8722.63430786719[/C][/ROW]
[ROW][C]beta[/C][C]0.0643527767615868[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0656796881718252[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.979797233403925[/C][/ROW]
[ROW][C]p-value[/C][C]0.399440660159534[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33454&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33454&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)
alpha8722.63430786719
beta0.0643527767615868
S.D.0.0656796881718252
T-STAT0.979797233403925
p-value0.399440660159534






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.51062257101822
beta0.529515009186526
S.D.0.461672939634416
T-STAT1.14694833447642
p-value0.334584034266775
Lambda0.470484990813474

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.51062257101822 \tabularnewline
beta & 0.529515009186526 \tabularnewline
S.D. & 0.461672939634416 \tabularnewline
T-STAT & 1.14694833447642 \tabularnewline
p-value & 0.334584034266775 \tabularnewline
Lambda & 0.470484990813474 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33454&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.51062257101822[/C][/ROW]
[ROW][C]beta[/C][C]0.529515009186526[/C][/ROW]
[ROW][C]S.D.[/C][C]0.461672939634416[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.14694833447642[/C][/ROW]
[ROW][C]p-value[/C][C]0.334584034266775[/C][/ROW]
[ROW][C]Lambda[/C][C]0.470484990813474[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33454&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33454&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)
alpha3.51062257101822
beta0.529515009186526
S.D.0.461672939634416
T-STAT1.14694833447642
p-value0.334584034266775
Lambda0.470484990813474


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')