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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, 14 Dec 2008 08:44:31 -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/14/t1229269517yv0njk1p87kcj98.htm/, Retrieved Wed, 15 May 2024 04:45:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33436, Retrieved Wed, 15 May 2024 04:45:35 +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)
-     [Mean Plot] [Mean plot vervaar...] [2007-11-09 12:25:12] [74be16979710d4c4e7c6647856088456]
- R  D  [Mean Plot] [Mean plot Vlaams ...] [2008-12-13 21:24:44] [005293453b571dbccb80b45226e44173]
- RM      [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:35:50] [005293453b571dbccb80b45226e44173]
-    D      [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:41:27] [005293453b571dbccb80b45226e44173]
-    D          [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:44:31] [b0654df83a8a0e1de3ceb7bf60f0d58f] [Current]
-    D            [Standard Deviation-Mean Plot] [paper: standard d...] [2008-12-14 15:48:16] [005293453b571dbccb80b45226e44173]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
88827
85874
85211
87130
88620
89563
89056
88542
89504
89428
86040
96240
94423
93028
92285
91685
94260
93858
92437
92980
92099
92803
88551
98334
98329
96455
97109
97687
98512
98673
96028
98014
95580
97838
97760
99913
97588
93942
93656
93365
92881
93120
91063
90930
91946
94624
95484
95862
95530
94574
94677
93845
91533
91214
90922
89563
89945
91850
92505
92437

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=33436&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=33436&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33436&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
188669.58333333332838.626314973611029
293061.91666666672255.439060595659783
397658.16666666671213.139490842844333
493705.08333333331970.463280012806658
592382.91666666671919.414799943575967

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 88669.5833333333 & 2838.6263149736 & 11029 \tabularnewline
2 & 93061.9166666667 & 2255.43906059565 & 9783 \tabularnewline
3 & 97658.1666666667 & 1213.13949084284 & 4333 \tabularnewline
4 & 93705.0833333333 & 1970.46328001280 & 6658 \tabularnewline
5 & 92382.9166666667 & 1919.41479994357 & 5967 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33436&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]88669.5833333333[/C][C]2838.6263149736[/C][C]11029[/C][/ROW]
[ROW][C]2[/C][C]93061.9166666667[/C][C]2255.43906059565[/C][C]9783[/C][/ROW]
[ROW][C]3[/C][C]97658.1666666667[/C][C]1213.13949084284[/C][C]4333[/C][/ROW]
[ROW][C]4[/C][C]93705.0833333333[/C][C]1970.46328001280[/C][C]6658[/C][/ROW]
[ROW][C]5[/C][C]92382.9166666667[/C][C]1919.41479994357[/C][C]5967[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33436&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33436&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
188669.58333333332838.626314973611029
293061.91666666672255.439060595659783
397658.16666666671213.139490842844333
493705.08333333331970.463280012806658
592382.91666666671919.414799943575967






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha18434.3742689562
beta-0.176108961328784
S.D.0.0293635517642796
T-STAT-5.99753608631972
p-value0.00928344039373112

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 18434.3742689562 \tabularnewline
beta & -0.176108961328784 \tabularnewline
S.D. & 0.0293635517642796 \tabularnewline
T-STAT & -5.99753608631972 \tabularnewline
p-value & 0.00928344039373112 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33436&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18434.3742689562[/C][/ROW]
[ROW][C]beta[/C][C]-0.176108961328784[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0293635517642796[/C][/ROW]
[ROW][C]T-STAT[/C][C]-5.99753608631972[/C][/ROW]
[ROW][C]p-value[/C][C]0.00928344039373112[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33436&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33436&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)
alpha18434.3742689562
beta-0.176108961328784
S.D.0.0293635517642796
T-STAT-5.99753608631972
p-value0.00928344039373112






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha105.697536054185
beta-8.57569796153837
S.D.1.61359120159995
T-STAT-5.31466579207618
p-value0.0130102392260310
Lambda9.57569796153837

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 105.697536054185 \tabularnewline
beta & -8.57569796153837 \tabularnewline
S.D. & 1.61359120159995 \tabularnewline
T-STAT & -5.31466579207618 \tabularnewline
p-value & 0.0130102392260310 \tabularnewline
Lambda & 9.57569796153837 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33436&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]105.697536054185[/C][/ROW]
[ROW][C]beta[/C][C]-8.57569796153837[/C][/ROW]
[ROW][C]S.D.[/C][C]1.61359120159995[/C][/ROW]
[ROW][C]T-STAT[/C][C]-5.31466579207618[/C][/ROW]
[ROW][C]p-value[/C][C]0.0130102392260310[/C][/ROW]
[ROW][C]Lambda[/C][C]9.57569796153837[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33436&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33436&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)
alpha105.697536054185
beta-8.57569796153837
S.D.1.61359120159995
T-STAT-5.31466579207618
p-value0.0130102392260310
Lambda9.57569796153837


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')