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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 computationTue, 13 May 2008 15:29:08 -0600
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/May/13/t1210714191ealza3trk20ou6q.htm/, Retrieved Wed, 15 May 2024 11:31:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=12510, Retrieved Wed, 15 May 2024 11:31:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact225

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 deviatio...] [2008-05-13 21:29:08] [4eb44b0124b34dab365a44c9d5d07c57] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2301
2512
3145
2741
2548
1987
2281
2016
2434
2637
1831
1851
1839
2609
2417
2394
2372
2717
2998
2538
3007
2475
2175
2465
2279
2323
2746
2601
2486
2718
2646
2551
2712
2606
2365
3533
3509
2912
3599
2719
2869
4085
2686
2545
3071
3388
2652
3190
2884
3295
3818
3226
3953
3810
2877
3515
3708
3450
3360
4098
4374
3703
4257
3487
3659
3904
2957
3320
3420
3500
2791
2919

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 4 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12510&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12510&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12510&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 time4 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
12357394.0512195595441314
22500.5322.5423157580191168
32630.5324.6893620342091254
43102.08333333333466.3524726940761540
53499.5394.3128660893991221
63524.25498.5099843989631583

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2357 & 394.051219559544 & 1314 \tabularnewline
2 & 2500.5 & 322.542315758019 & 1168 \tabularnewline
3 & 2630.5 & 324.689362034209 & 1254 \tabularnewline
4 & 3102.08333333333 & 466.352472694076 & 1540 \tabularnewline
5 & 3499.5 & 394.312866089399 & 1221 \tabularnewline
6 & 3524.25 & 498.509984398963 & 1583 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12510&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]2357[/C][C]394.051219559544[/C][C]1314[/C][/ROW]
[ROW][C]2[/C][C]2500.5[/C][C]322.542315758019[/C][C]1168[/C][/ROW]
[ROW][C]3[/C][C]2630.5[/C][C]324.689362034209[/C][C]1254[/C][/ROW]
[ROW][C]4[/C][C]3102.08333333333[/C][C]466.352472694076[/C][C]1540[/C][/ROW]
[ROW][C]5[/C][C]3499.5[/C][C]394.312866089399[/C][C]1221[/C][/ROW]
[ROW][C]6[/C][C]3524.25[/C][C]498.509984398963[/C][C]1583[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12510&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12510&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
12357394.0512195595441314
22500.5322.5423157580191168
32630.5324.6893620342091254
43102.08333333333466.3524726940761540
53499.5394.3128660893991221
63524.25498.5099843989631583






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha117.699834060153
beta0.0961891249968279
S.D.0.051202186678833
T-STAT1.87861361469143
p-value0.133494940424867

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 117.699834060153 \tabularnewline
beta & 0.0961891249968279 \tabularnewline
S.D. & 0.051202186678833 \tabularnewline
T-STAT & 1.87861361469143 \tabularnewline
p-value & 0.133494940424867 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12510&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]117.699834060153[/C][/ROW]
[ROW][C]beta[/C][C]0.0961891249968279[/C][/ROW]
[ROW][C]S.D.[/C][C]0.051202186678833[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.87861361469143[/C][/ROW]
[ROW][C]p-value[/C][C]0.133494940424867[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12510&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12510&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)
alpha117.699834060153
beta0.0961891249968279
S.D.0.051202186678833
T-STAT1.87861361469143
p-value0.133494940424867






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha0.436456429147742
beta0.695153704670942
S.D.0.379247064579869
T-STAT1.83298374488682
p-value0.140739347554546
Lambda0.304846295329058

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.436456429147742 \tabularnewline
beta & 0.695153704670942 \tabularnewline
S.D. & 0.379247064579869 \tabularnewline
T-STAT & 1.83298374488682 \tabularnewline
p-value & 0.140739347554546 \tabularnewline
Lambda & 0.304846295329058 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=12510&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.436456429147742[/C][/ROW]
[ROW][C]beta[/C][C]0.695153704670942[/C][/ROW]
[ROW][C]S.D.[/C][C]0.379247064579869[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.83298374488682[/C][/ROW]
[ROW][C]p-value[/C][C]0.140739347554546[/C][/ROW]
[ROW][C]Lambda[/C][C]0.304846295329058[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=12510&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=12510&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)
alpha0.436456429147742
beta0.695153704670942
S.D.0.379247064579869
T-STAT1.83298374488682
p-value0.140739347554546
Lambda0.304846295329058


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')