FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationFri, 04 Dec 2009 10:27:01 -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/2009/Dec/04/t1259948046g5vnv4k6anuejgu.htm/, Retrieved Sat, 27 Apr 2024 19:56:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63956, Retrieved Sat, 27 Apr 2024 19:56:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact105

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [] [2009-11-27 14:40:44] [b98453cac15ba1066b407e146608df68]
-    D      [Standard Deviation-Mean Plot] [] [2009-12-04 17:27:01] [e76c6d261190c0179bc6006a5cdb804c] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10800
10642
10269
10189
9876
10164
9906
10003
10564
10221
10052
10512
10573
10821
10167
10901
10896
10934
11059
10513
10270
10399
10740
10263
9883
10204
10201
10416
10557
10166
10066
10117
9973
10360
10133
10667
10883
10794
11212
11242
11483
11106
11019
10767
10577
10859
10575
10680
10926
11781
11241
12347
12699
12214
12066
12085
11894
11793
15567
16135

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=63956&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=63956&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63956&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
110266.5300.133455164683924
210628304.23435942468892
310228.5833333333231.696297429252784
410933.0833333333283.950846685361908
512562.33333333331610.338153835085209

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 10266.5 & 300.133455164683 & 924 \tabularnewline
2 & 10628 & 304.23435942468 & 892 \tabularnewline
3 & 10228.5833333333 & 231.696297429252 & 784 \tabularnewline
4 & 10933.0833333333 & 283.950846685361 & 908 \tabularnewline
5 & 12562.3333333333 & 1610.33815383508 & 5209 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63956&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]10266.5[/C][C]300.133455164683[/C][C]924[/C][/ROW]
[ROW][C]2[/C][C]10628[/C][C]304.23435942468[/C][C]892[/C][/ROW]
[ROW][C]3[/C][C]10228.5833333333[/C][C]231.696297429252[/C][C]784[/C][/ROW]
[ROW][C]4[/C][C]10933.0833333333[/C][C]283.950846685361[/C][C]908[/C][/ROW]
[ROW][C]5[/C][C]12562.3333333333[/C][C]1610.33815383508[/C][C]5209[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63956&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63956&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
110266.5300.133455164683924
210628304.23435942468892
310228.5833333333231.696297429252784
410933.0833333333283.950846685361908
512562.33333333331610.338153835085209






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-5950.40368169486
beta0.594713723756847
S.D.0.101899595855354
T-STAT5.83627166295186
p-value0.0100223046985667

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -5950.40368169486 \tabularnewline
beta & 0.594713723756847 \tabularnewline
S.D. & 0.101899595855354 \tabularnewline
T-STAT & 5.83627166295186 \tabularnewline
p-value & 0.0100223046985667 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63956&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-5950.40368169486[/C][/ROW]
[ROW][C]beta[/C][C]0.594713723756847[/C][/ROW]
[ROW][C]S.D.[/C][C]0.101899595855354[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.83627166295186[/C][/ROW]
[ROW][C]p-value[/C][C]0.0100223046985667[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63956&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63956&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-5950.40368169486
beta0.594713723756847
S.D.0.101899595855354
T-STAT5.83627166295186
p-value0.0100223046985667






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-77.570912114809
beta8.98806944259538
S.D.1.59236726140743
T-STAT5.64447012974331
p-value0.0110048094544420
Lambda-7.98806944259538

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -77.570912114809 \tabularnewline
beta & 8.98806944259538 \tabularnewline
S.D. & 1.59236726140743 \tabularnewline
T-STAT & 5.64447012974331 \tabularnewline
p-value & 0.0110048094544420 \tabularnewline
Lambda & -7.98806944259538 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63956&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-77.570912114809[/C][/ROW]
[ROW][C]beta[/C][C]8.98806944259538[/C][/ROW]
[ROW][C]S.D.[/C][C]1.59236726140743[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.64447012974331[/C][/ROW]
[ROW][C]p-value[/C][C]0.0110048094544420[/C][/ROW]
[ROW][C]Lambda[/C][C]-7.98806944259538[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63956&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63956&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-77.570912114809
beta8.98806944259538
S.D.1.59236726140743
T-STAT5.64447012974331
p-value0.0110048094544420
Lambda-7.98806944259538


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')