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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 computationSun, 21 Dec 2008 08:04:01 -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/21/t1229872031fg9r7p6562efygm.htm/, Retrieved Fri, 17 May 2024 09:31:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35622, Retrieved Fri, 17 May 2024 09:31:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184

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] [WS7 Q1 G6 reeks 1] [2007-11-22 09:45:51] [22f18fc6a98517db16300404be421f9a]
- R  D    [Standard Deviation-Mean Plot] [Paper - standard ...] [2008-12-21 15:04:01] [73ec5abea95a9c3c8c3a1ac44cab1f72] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2490
3266
3475
3127
2955
3870
2852
3142
3029
3180
2560
2733
2452
2553
2777
2520
2318
2873
2311
2395
2099
2268
2316
2181
2175
2627
2578
3090
2634
3225
2938
3174
3350
2588
2061
2691
2061
2918
2223
2651
2379
3146
2883
2768
3258
2839
2470
5072
1463
1600
2203
2013
2169
2640
2411
2528
2292
1988
1774
2279

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35622&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35622&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35622&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13056.58333333333385.3349094284641380
22421.91666666667229.291183802816774
32760.91666666667405.4352225657881289
42889775.0168326617763011
52113.33333333333361.2861704655981177

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3056.58333333333 & 385.334909428464 & 1380 \tabularnewline
2 & 2421.91666666667 & 229.291183802816 & 774 \tabularnewline
3 & 2760.91666666667 & 405.435222565788 & 1289 \tabularnewline
4 & 2889 & 775.016832661776 & 3011 \tabularnewline
5 & 2113.33333333333 & 361.286170465598 & 1177 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35622&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]3056.58333333333[/C][C]385.334909428464[/C][C]1380[/C][/ROW]
[ROW][C]2[/C][C]2421.91666666667[/C][C]229.291183802816[/C][C]774[/C][/ROW]
[ROW][C]3[/C][C]2760.91666666667[/C][C]405.435222565788[/C][C]1289[/C][/ROW]
[ROW][C]4[/C][C]2889[/C][C]775.016832661776[/C][C]3011[/C][/ROW]
[ROW][C]5[/C][C]2113.33333333333[/C][C]361.286170465598[/C][C]1177[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35622&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35622&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
13056.58333333333385.3349094284641380
22421.91666666667229.291183802816774
32760.91666666667405.4352225657881289
42889775.0168326617763011
52113.33333333333361.2861704655981177






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-233.354929914188
beta0.250959198632762
S.D.0.275039220183256
T-STAT0.912448771726268
p-value0.428810629561409

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -233.354929914188 \tabularnewline
beta & 0.250959198632762 \tabularnewline
S.D. & 0.275039220183256 \tabularnewline
T-STAT & 0.912448771726268 \tabularnewline
p-value & 0.428810629561409 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35622&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-233.354929914188[/C][/ROW]
[ROW][C]beta[/C][C]0.250959198632762[/C][/ROW]
[ROW][C]S.D.[/C][C]0.275039220183256[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.912448771726268[/C][/ROW]
[ROW][C]p-value[/C][C]0.428810629561409[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35622&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35622&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-233.354929914188
beta0.250959198632762
S.D.0.275039220183256
T-STAT0.912448771726268
p-value0.428810629561409






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-5.16962454308998
beta1.41710189062625
S.D.1.48080100080073
T-STAT0.956983342029056
p-value0.409174689042747
Lambda-0.417101890626254

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -5.16962454308998 \tabularnewline
beta & 1.41710189062625 \tabularnewline
S.D. & 1.48080100080073 \tabularnewline
T-STAT & 0.956983342029056 \tabularnewline
p-value & 0.409174689042747 \tabularnewline
Lambda & -0.417101890626254 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35622&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5.16962454308998[/C][/ROW]
[ROW][C]beta[/C][C]1.41710189062625[/C][/ROW]
[ROW][C]S.D.[/C][C]1.48080100080073[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.956983342029056[/C][/ROW]
[ROW][C]p-value[/C][C]0.409174689042747[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.417101890626254[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35622&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35622&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-5.16962454308998
beta1.41710189062625
S.D.1.48080100080073
T-STAT0.956983342029056
p-value0.409174689042747
Lambda-0.417101890626254


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')