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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 computationMon, 23 Apr 2012 05:11:50 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Apr/23/t1335172354ppq3ln3aifio8jk.htm/, Retrieved Sat, 04 May 2024 02:07:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=164659, Retrieved Sat, 04 May 2024 02:07:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

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] [spreidings en gem...] [2012-04-23 09:11:50] [e15deab13e19d5d27f52a3832c12141e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
41086
39690
69116
41519
51321
38529
41547
52073
38401
40898
40439
41888
37898
8771
68184
50530
47221
41756
45633
48138
39486
39341
41117
41629
29722
7054
56676
34870
35117
30169
30936
35699
33228
27733
33666
35429
27438
8170
63410
38040
45389
37353
37024
50957
37994
36454
46080
43373
37395
10963
76058
50179
57452
47568
50050
50856
41992
39284
44521
43832
41153
17100

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=164659&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=164659&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164659&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
144708.91666666678897.5862350755630715
242475.333333333313379.578117641159413
332524.916666666710885.601177354649622
439306.833333333313303.993657636255240
545845.833333333314966.465969161265095

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 44708.9166666667 & 8897.58623507556 & 30715 \tabularnewline
2 & 42475.3333333333 & 13379.5781176411 & 59413 \tabularnewline
3 & 32524.9166666667 & 10885.6011773546 & 49622 \tabularnewline
4 & 39306.8333333333 & 13303.9936576362 & 55240 \tabularnewline
5 & 45845.8333333333 & 14966.4659691612 & 65095 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164659&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]44708.9166666667[/C][C]8897.58623507556[/C][C]30715[/C][/ROW]
[ROW][C]2[/C][C]42475.3333333333[/C][C]13379.5781176411[/C][C]59413[/C][/ROW]
[ROW][C]3[/C][C]32524.9166666667[/C][C]10885.6011773546[/C][C]49622[/C][/ROW]
[ROW][C]4[/C][C]39306.8333333333[/C][C]13303.9936576362[/C][C]55240[/C][/ROW]
[ROW][C]5[/C][C]45845.8333333333[/C][C]14966.4659691612[/C][C]65095[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164659&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164659&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
144708.91666666678897.5862350755630715
242475.333333333313379.578117641159413
332524.916666666710885.601177354649622
439306.833333333313303.993657636255240
545845.833333333314966.465969161265095






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha7913.0587900945
beta0.106744779398779
S.D.0.250960850111669
T-STAT0.425344348934432
p-value0.699252584616914

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 7913.0587900945 \tabularnewline
beta & 0.106744779398779 \tabularnewline
S.D. & 0.250960850111669 \tabularnewline
T-STAT & 0.425344348934432 \tabularnewline
p-value & 0.699252584616914 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164659&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]7913.0587900945[/C][/ROW]
[ROW][C]beta[/C][C]0.106744779398779[/C][/ROW]
[ROW][C]S.D.[/C][C]0.250960850111669[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.425344348934432[/C][/ROW]
[ROW][C]p-value[/C][C]0.699252584616914[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164659&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164659&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)
alpha7913.0587900945
beta0.106744779398779
S.D.0.250960850111669
T-STAT0.425344348934432
p-value0.699252584616914






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha6.46104890242088
beta0.27690429074135
S.D.0.846768822013852
T-STAT0.327012855861644
p-value0.76514646723057
Lambda0.72309570925865

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 6.46104890242088 \tabularnewline
beta & 0.27690429074135 \tabularnewline
S.D. & 0.846768822013852 \tabularnewline
T-STAT & 0.327012855861644 \tabularnewline
p-value & 0.76514646723057 \tabularnewline
Lambda & 0.72309570925865 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164659&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]6.46104890242088[/C][/ROW]
[ROW][C]beta[/C][C]0.27690429074135[/C][/ROW]
[ROW][C]S.D.[/C][C]0.846768822013852[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.327012855861644[/C][/ROW]
[ROW][C]p-value[/C][C]0.76514646723057[/C][/ROW]
[ROW][C]Lambda[/C][C]0.72309570925865[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164659&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164659&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)
alpha6.46104890242088
beta0.27690429074135
S.D.0.846768822013852
T-STAT0.327012855861644
p-value0.76514646723057
Lambda0.72309570925865


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')