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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 computationFri, 04 Dec 2009 05:44:49 -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/t1259930759lsyllxe19x1ixs0.htm/, Retrieved Sat, 27 Apr 2024 18:18:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63430, Retrieved Sat, 27 Apr 2024 18:18:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact111

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] [2009-12-04 12:44:49] [208e60166df5802f3c494097313a670f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1169
2154
2249
2687
4359
5382
4459
6398
4596
3024
1887
2070
1351
2218
2461
3028
4784
4975
4607
6249
4809
3157
1910
2228
1594
2467
2222
3607
4685
4962
5770
5480
5000
3228
1993
2288
1580
2111
2192
3601
4665
4876
5813
5589
5331
3075
2002
2306
1507
1992
2487
3490
4647
5594
5611
5788
6204
3013
1931
2549

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63430&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63430&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'Gwilym Jenkins' @ 72.249.127.135






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
13369.51621.986296321445229
23481.416666666671541.658814885824898
336081504.044124110974176
43595.083333333331578.135059223874233
53734.416666666671729.940222736734697

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 3369.5 & 1621.98629632144 & 5229 \tabularnewline
2 & 3481.41666666667 & 1541.65881488582 & 4898 \tabularnewline
3 & 3608 & 1504.04412411097 & 4176 \tabularnewline
4 & 3595.08333333333 & 1578.13505922387 & 4233 \tabularnewline
5 & 3734.41666666667 & 1729.94022273673 & 4697 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63430&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]3369.5[/C][C]1621.98629632144[/C][C]5229[/C][/ROW]
[ROW][C]2[/C][C]3481.41666666667[/C][C]1541.65881488582[/C][C]4898[/C][/ROW]
[ROW][C]3[/C][C]3608[/C][C]1504.04412411097[/C][C]4176[/C][/ROW]
[ROW][C]4[/C][C]3595.08333333333[/C][C]1578.13505922387[/C][C]4233[/C][/ROW]
[ROW][C]5[/C][C]3734.41666666667[/C][C]1729.94022273673[/C][C]4697[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63430&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
13369.51621.986296321445229
23481.416666666671541.658814885824898
336081504.044124110974176
43595.083333333331578.135059223874233
53734.416666666671729.940222736734697






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha774.087999707529
beta0.230786392947162
S.D.0.338566166543852
T-STAT0.681658168337002
p-value0.544363050913704

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 774.087999707529 \tabularnewline
beta & 0.230786392947162 \tabularnewline
S.D. & 0.338566166543852 \tabularnewline
T-STAT & 0.681658168337002 \tabularnewline
p-value & 0.544363050913704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63430&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]774.087999707529[/C][/ROW]
[ROW][C]beta[/C][C]0.230786392947162[/C][/ROW]
[ROW][C]S.D.[/C][C]0.338566166543852[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.681658168337002[/C][/ROW]
[ROW][C]p-value[/C][C]0.544363050913704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63430&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63430&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)
alpha774.087999707529
beta0.230786392947162
S.D.0.338566166543852
T-STAT0.681658168337002
p-value0.544363050913704






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha3.57526778768083
beta0.464550777032884
S.D.0.750733353849097
T-STAT0.618795974164567
p-value0.579860574127335
Lambda0.535449222967116

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 3.57526778768083 \tabularnewline
beta & 0.464550777032884 \tabularnewline
S.D. & 0.750733353849097 \tabularnewline
T-STAT & 0.618795974164567 \tabularnewline
p-value & 0.579860574127335 \tabularnewline
Lambda & 0.535449222967116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63430&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]3.57526778768083[/C][/ROW]
[ROW][C]beta[/C][C]0.464550777032884[/C][/ROW]
[ROW][C]S.D.[/C][C]0.750733353849097[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.618795974164567[/C][/ROW]
[ROW][C]p-value[/C][C]0.579860574127335[/C][/ROW]
[ROW][C]Lambda[/C][C]0.535449222967116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63430&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63430&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)
alpha3.57526778768083
beta0.464550777032884
S.D.0.750733353849097
T-STAT0.618795974164567
p-value0.579860574127335
Lambda0.535449222967116


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')