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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, 23 Dec 2008 12:36:39 -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/23/t1230061044g9bmayahqcsncm4.htm/, Retrieved Fri, 24 May 2024 09:32:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36378, Retrieved Fri, 24 May 2024 09:32:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

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] [SMP Vrouwen ] [2008-12-23 19:36:39] [f0e1dc59aca2fa8d78080b39899f316a] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
54327
53476
52258
50156
47925
45844
47605
63617
67028
65845
60106
55317
53188
51010
49364
47616
45429
43480
44964
61008
64530
62960
57529
52954
51374
49211
47980
45575
44431
43596
45544
60109
63695
60819
54709
49357
46913
46728
44576
41988
40880
37860
38532
52713
56139
50939
46352
42169
42025
41713
40123
37737
36928
33812
36122
48823
51520
47090
42683
39947

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 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=36378&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]2 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=36378&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36378&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
1552927286.4784236407221184
2528367231.2007175974521050
351366.66666666676908.6427996628520099
445482.41666666675653.4435436745218279
541543.58333333335345.9588553722817708

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 55292 & 7286.47842364072 & 21184 \tabularnewline
2 & 52836 & 7231.20071759745 & 21050 \tabularnewline
3 & 51366.6666666667 & 6908.64279966285 & 20099 \tabularnewline
4 & 45482.4166666667 & 5653.44354367452 & 18279 \tabularnewline
5 & 41543.5833333333 & 5345.95885537228 & 17708 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36378&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]55292[/C][C]7286.47842364072[/C][C]21184[/C][/ROW]
[ROW][C]2[/C][C]52836[/C][C]7231.20071759745[/C][C]21050[/C][/ROW]
[ROW][C]3[/C][C]51366.6666666667[/C][C]6908.64279966285[/C][C]20099[/C][/ROW]
[ROW][C]4[/C][C]45482.4166666667[/C][C]5653.44354367452[/C][C]18279[/C][/ROW]
[ROW][C]5[/C][C]41543.5833333333[/C][C]5345.95885537228[/C][C]17708[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36378&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36378&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
1552927286.4784236407221184
2528367231.2007175974521050
351366.66666666676908.6427996628520099
445482.41666666675653.4435436745218279
541543.58333333335345.9588553722817708






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-1380.17171235660
beta0.1595265152958
S.D.0.0180855677794054
T-STAT8.82065286761182
p-value0.00307064831953855

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1380.17171235660 \tabularnewline
beta & 0.1595265152958 \tabularnewline
S.D. & 0.0180855677794054 \tabularnewline
T-STAT & 8.82065286761182 \tabularnewline
p-value & 0.00307064831953855 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36378&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1380.17171235660[/C][/ROW]
[ROW][C]beta[/C][C]0.1595265152958[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0180855677794054[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.82065286761182[/C][/ROW]
[ROW][C]p-value[/C][C]0.00307064831953855[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36378&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36378&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-1380.17171235660
beta0.1595265152958
S.D.0.0180855677794054
T-STAT8.82065286761182
p-value0.00307064831953855






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.39723048619124
beta1.21905027441337
S.D.0.135819947110007
T-STAT8.97548777151273
p-value0.00291891691519626
Lambda-0.219050274413375

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.39723048619124 \tabularnewline
beta & 1.21905027441337 \tabularnewline
S.D. & 0.135819947110007 \tabularnewline
T-STAT & 8.97548777151273 \tabularnewline
p-value & 0.00291891691519626 \tabularnewline
Lambda & -0.219050274413375 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36378&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.39723048619124[/C][/ROW]
[ROW][C]beta[/C][C]1.21905027441337[/C][/ROW]
[ROW][C]S.D.[/C][C]0.135819947110007[/C][/ROW]
[ROW][C]T-STAT[/C][C]8.97548777151273[/C][/ROW]
[ROW][C]p-value[/C][C]0.00291891691519626[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.219050274413375[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36378&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36378&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-4.39723048619124
beta1.21905027441337
S.D.0.135819947110007
T-STAT8.97548777151273
p-value0.00291891691519626
Lambda-0.219050274413375


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')