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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 computationWed, 07 Dec 2016 12:53:58 +0100
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/Dec/07/t1481112208iq9e492dm9ru1t9.htm/, Retrieved Wed, 08 May 2024 02:30:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298022, Retrieved Wed, 08 May 2024 02:30:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact65

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 deviatie...] [2016-12-07 11:53:58] [9412b5b3b31fe4708efb1e5c8c74b28f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
40548
40331
39814
39360
38915
38583
38191
37477
37110
36670
36330
36108
35341
34764
34253
33743
33296
32875
32622
32346
31780
31003
28467
28153
27682
27217
26780
26490
26020
25227
25343
24453
23958
23475
23102
22393
21557
20893
20376
19704
19016
18274
18020
17317
16919
16372
16069
15478
15018
14561
14047
13506
13035
12471
11815
11172
10594
9914
9319
8939
8073
7431
7022

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298022&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298022&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298022&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
138286.41666666671552.075880193624440
232386.91666666672264.254421069627188
325178.33333333331717.135793504215289
418332.91666666671993.696861170836079
512032.58333333332067.302566513956079

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 38286.4166666667 & 1552.07588019362 & 4440 \tabularnewline
2 & 32386.9166666667 & 2264.25442106962 & 7188 \tabularnewline
3 & 25178.3333333333 & 1717.13579350421 & 5289 \tabularnewline
4 & 18332.9166666667 & 1993.69686117083 & 6079 \tabularnewline
5 & 12032.5833333333 & 2067.30256651395 & 6079 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298022&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]38286.4166666667[/C][C]1552.07588019362[/C][C]4440[/C][/ROW]
[ROW][C]2[/C][C]32386.9166666667[/C][C]2264.25442106962[/C][C]7188[/C][/ROW]
[ROW][C]3[/C][C]25178.3333333333[/C][C]1717.13579350421[/C][C]5289[/C][/ROW]
[ROW][C]4[/C][C]18332.9166666667[/C][C]1993.69686117083[/C][C]6079[/C][/ROW]
[ROW][C]5[/C][C]12032.5833333333[/C][C]2067.30256651395[/C][C]6079[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298022&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298022&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
138286.41666666671552.075880193624440
232386.91666666672264.254421069627188
325178.33333333331717.135793504215289
418332.91666666671993.696861170836079
512032.58333333332067.302566513956079






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha2191.10238116523
beta-0.0107833698007846
S.D.0.0142620825183033
T-STAT-0.756086622479271
p-value0.504549795688768

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2191.10238116523 \tabularnewline
beta & -0.0107833698007846 \tabularnewline
S.D. & 0.0142620825183033 \tabularnewline
T-STAT & -0.756086622479271 \tabularnewline
p-value & 0.504549795688768 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298022&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2191.10238116523[/C][/ROW]
[ROW][C]beta[/C][C]-0.0107833698007846[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0142620825183033[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.756086622479271[/C][/ROW]
[ROW][C]p-value[/C][C]0.504549795688768[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298022&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298022&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)
alpha2191.10238116523
beta-0.0107833698007846
S.D.0.0142620825183033
T-STAT-0.756086622479271
p-value0.504549795688768






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha8.93625113502381
beta-0.137792491320016
S.D.0.171090799973939
T-STAT-0.805376392775091
p-value0.479520691385491
Lambda1.13779249132002

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 8.93625113502381 \tabularnewline
beta & -0.137792491320016 \tabularnewline
S.D. & 0.171090799973939 \tabularnewline
T-STAT & -0.805376392775091 \tabularnewline
p-value & 0.479520691385491 \tabularnewline
Lambda & 1.13779249132002 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298022&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]8.93625113502381[/C][/ROW]
[ROW][C]beta[/C][C]-0.137792491320016[/C][/ROW]
[ROW][C]S.D.[/C][C]0.171090799973939[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.805376392775091[/C][/ROW]
[ROW][C]p-value[/C][C]0.479520691385491[/C][/ROW]
[ROW][C]Lambda[/C][C]1.13779249132002[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298022&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298022&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)
alpha8.93625113502381
beta-0.137792491320016
S.D.0.171090799973939
T-STAT-0.805376392775091
p-value0.479520691385491
Lambda1.13779249132002


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')