FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 22 Nov 2007 06:05:56 -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/2007/Nov/22/t1195736270wttflgubfclvket.htm/, Retrieved Fri, 03 May 2024 00:30:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=5968, Retrieved Fri, 03 May 2024 00:30:30 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsW10Q1G7
Estimated Impact175

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] [Standard deviatio...] [2007-11-22 13:05:56] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87
75
74
91
101
103
106
102
105
105
100
95
96
98
99
92
84
81
72
89
96
91
88
90
98
87
100
100
104
107
105
102
98
106
97
101
100
93
94
96
96
98
102
95
85
84
82
87
77
90
90
94
97
96
93
93
93
97
100
95
97
103
102
93
99
100
97
104
102
103
100
90
90

Tables (Output of Computation)





Summary of compuational 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 compuational 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=5968&T=0

[TABLE]
[ROW][C]Summary of compuational 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=5968&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5968&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 compuational 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
195.333333333333311.340461216637629
289.66666666666677.7849894416152324
3100.4166666666675.350587619952433
492.66666666666676.5966015125329111
592.91666666666675.7911897558169216
699.16666666666674.2817441928883823

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 95.3333333333333 & 11.3404612166376 & 29 \tabularnewline
2 & 89.6666666666667 & 7.78498944161523 & 24 \tabularnewline
3 & 100.416666666667 & 5.3505876199524 & 33 \tabularnewline
4 & 92.6666666666667 & 6.59660151253291 & 11 \tabularnewline
5 & 92.9166666666667 & 5.79118975581692 & 16 \tabularnewline
6 & 99.1666666666667 & 4.28174419288838 & 23 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5968&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]95.3333333333333[/C][C]11.3404612166376[/C][C]29[/C][/ROW]
[ROW][C]2[/C][C]89.6666666666667[/C][C]7.78498944161523[/C][C]24[/C][/ROW]
[ROW][C]3[/C][C]100.416666666667[/C][C]5.3505876199524[/C][C]33[/C][/ROW]
[ROW][C]4[/C][C]92.6666666666667[/C][C]6.59660151253291[/C][C]11[/C][/ROW]
[ROW][C]5[/C][C]92.9166666666667[/C][C]5.79118975581692[/C][C]16[/C][/ROW]
[ROW][C]6[/C][C]99.1666666666667[/C][C]4.28174419288838[/C][C]23[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5968&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5968&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
195.333333333333311.340461216637629
289.66666666666677.7849894416152324
3100.4166666666675.350587619952433
492.66666666666676.5966015125329111
592.91666666666675.7911897558169216
699.16666666666674.2817441928883823






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha28.6673880752009
beta-0.229509654566083
S.D.0.279583131039969
T-STAT-0.820899507464465
p-value0.457808944264295

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 28.6673880752009 \tabularnewline
beta & -0.229509654566083 \tabularnewline
S.D. & 0.279583131039969 \tabularnewline
T-STAT & -0.820899507464465 \tabularnewline
p-value & 0.457808944264295 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5968&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]28.6673880752009[/C][/ROW]
[ROW][C]beta[/C][C]-0.229509654566083[/C][/ROW]
[ROW][C]S.D.[/C][C]0.279583131039969[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.820899507464465[/C][/ROW]
[ROW][C]p-value[/C][C]0.457808944264295[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5968&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5968&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)
alpha28.6673880752009
beta-0.229509654566083
S.D.0.279583131039969
T-STAT-0.820899507464465
p-value0.457808944264295






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha18.8612401547597
beta-3.730278600946
S.D.3.41504363036449
T-STAT-1.09230774323895
p-value0.336075452691356
Lambda4.730278600946

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 18.8612401547597 \tabularnewline
beta & -3.730278600946 \tabularnewline
S.D. & 3.41504363036449 \tabularnewline
T-STAT & -1.09230774323895 \tabularnewline
p-value & 0.336075452691356 \tabularnewline
Lambda & 4.730278600946 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=5968&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]18.8612401547597[/C][/ROW]
[ROW][C]beta[/C][C]-3.730278600946[/C][/ROW]
[ROW][C]S.D.[/C][C]3.41504363036449[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.09230774323895[/C][/ROW]
[ROW][C]p-value[/C][C]0.336075452691356[/C][/ROW]
[ROW][C]Lambda[/C][C]4.730278600946[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=5968&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=5968&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)
alpha18.8612401547597
beta-3.730278600946
S.D.3.41504363036449
T-STAT-1.09230774323895
p-value0.336075452691356
Lambda4.730278600946


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')