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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 computationSat, 20 Dec 2008 08:00:42 -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/20/t1229785272by6ylz2ig3k6d7o.htm/, Retrieved Sun, 19 May 2024 10:04:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35397, Retrieved Sun, 19 May 2024 10:04:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact147

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] [opgave8_eigen ree...] [2008-12-20 15:00:42] [49ed6f8c7db7571d0c4403fef2ba00f0] [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=35397&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=35397&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35397&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
19.573583333333330.3775096526961771.03600000000000
29.514333333333330.4402696143652581.451
39.268750.4155452332888571.30700000000000
49.345750.4245710402062511.623
59.634833333333330.4106878561042621.293
69.83350.3845775722671681.384
710.11516666666670.4911513066872631.565

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 9.57358333333333 & 0.377509652696177 & 1.03600000000000 \tabularnewline
2 & 9.51433333333333 & 0.440269614365258 & 1.451 \tabularnewline
3 & 9.26875 & 0.415545233288857 & 1.30700000000000 \tabularnewline
4 & 9.34575 & 0.424571040206251 & 1.623 \tabularnewline
5 & 9.63483333333333 & 0.410687856104262 & 1.293 \tabularnewline
6 & 9.8335 & 0.384577572267168 & 1.384 \tabularnewline
7 & 10.1151666666667 & 0.491151306687263 & 1.565 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35397&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]9.57358333333333[/C][C]0.377509652696177[/C][C]1.03600000000000[/C][/ROW]
[ROW][C]2[/C][C]9.51433333333333[/C][C]0.440269614365258[/C][C]1.451[/C][/ROW]
[ROW][C]3[/C][C]9.26875[/C][C]0.415545233288857[/C][C]1.30700000000000[/C][/ROW]
[ROW][C]4[/C][C]9.34575[/C][C]0.424571040206251[/C][C]1.623[/C][/ROW]
[ROW][C]5[/C][C]9.63483333333333[/C][C]0.410687856104262[/C][C]1.293[/C][/ROW]
[ROW][C]6[/C][C]9.8335[/C][C]0.384577572267168[/C][C]1.384[/C][/ROW]
[ROW][C]7[/C][C]10.1151666666667[/C][C]0.491151306687263[/C][C]1.565[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35397&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35397&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
19.573583333333330.3775096526961771.03600000000000
29.514333333333330.4402696143652581.451
39.268750.4155452332888571.30700000000000
49.345750.4245710402062511.623
59.634833333333330.4106878561042621.293
69.83350.3845775722671681.384
710.11516666666670.4911513066872631.565






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.109382778365258
beta0.0551377154085792
S.D.0.0532745954982466
T-STAT1.03497201420129
p-value0.348119763465049

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.109382778365258 \tabularnewline
beta & 0.0551377154085792 \tabularnewline
S.D. & 0.0532745954982466 \tabularnewline
T-STAT & 1.03497201420129 \tabularnewline
p-value & 0.348119763465049 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35397&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.109382778365258[/C][/ROW]
[ROW][C]beta[/C][C]0.0551377154085792[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0532745954982466[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.03497201420129[/C][/ROW]
[ROW][C]p-value[/C][C]0.348119763465049[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35397&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35397&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-0.109382778365258
beta0.0551377154085792
S.D.0.0532745954982466
T-STAT1.03497201420129
p-value0.348119763465049






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-3.38129109756491
beta1.11014507929661
S.D.1.22113746282173
T-STAT0.909107379877902
p-value0.404982886480245
Lambda-0.110145079296614

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.38129109756491 \tabularnewline
beta & 1.11014507929661 \tabularnewline
S.D. & 1.22113746282173 \tabularnewline
T-STAT & 0.909107379877902 \tabularnewline
p-value & 0.404982886480245 \tabularnewline
Lambda & -0.110145079296614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35397&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.38129109756491[/C][/ROW]
[ROW][C]beta[/C][C]1.11014507929661[/C][/ROW]
[ROW][C]S.D.[/C][C]1.22113746282173[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.909107379877902[/C][/ROW]
[ROW][C]p-value[/C][C]0.404982886480245[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.110145079296614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35397&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35397&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-3.38129109756491
beta1.11014507929661
S.D.1.22113746282173
T-STAT0.909107379877902
p-value0.404982886480245
Lambda-0.110145079296614


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')