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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationMon, 26 Nov 2007 07:03:16 -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/26/t11960853755boda689huboszq.htm/, Retrieved Thu, 02 May 2024 20:59:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=6590, Retrieved Thu, 02 May 2024 20:59:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact212

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] [vraag 1] [2007-11-26 14:03:16] [c40c597932a04e0e43159741c7e63e4c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
24
29
29
25
16
18
13
22
15
20
19
18
13
17
17
13
14
13
17
17
15
9
10
9
14
18
18
12
16
12
19
13
12
13
11
10
16
12
6
8
6
8
8
9
13
8
11
8
10
15
12
13
12
15
13
13
16
14
12
15
14
19
16
16
11

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=6590&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=6590&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6590&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
120.66666666666675.2281290471193719
213.66666666666673.084663922561345
3143.0151134457776413
49.416666666666672.998737107921318
513.33333333333331.7232808737106610

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 20.6666666666667 & 5.22812904711937 & 19 \tabularnewline
2 & 13.6666666666667 & 3.08466392256134 & 5 \tabularnewline
3 & 14 & 3.01511344577764 & 13 \tabularnewline
4 & 9.41666666666667 & 2.99873710792131 & 8 \tabularnewline
5 & 13.3333333333333 & 1.72328087371066 & 10 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6590&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]20.6666666666667[/C][C]5.22812904711937[/C][C]19[/C][/ROW]
[ROW][C]2[/C][C]13.6666666666667[/C][C]3.08466392256134[/C][C]5[/C][/ROW]
[ROW][C]3[/C][C]14[/C][C]3.01511344577764[/C][C]13[/C][/ROW]
[ROW][C]4[/C][C]9.41666666666667[/C][C]2.99873710792131[/C][C]8[/C][/ROW]
[ROW][C]5[/C][C]13.3333333333333[/C][C]1.72328087371066[/C][C]10[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6590&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6590&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
120.66666666666675.2281290471193719
213.66666666666673.084663922561345
3143.0151134457776413
49.416666666666672.998737107921318
513.33333333333331.7232808737106610






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-0.130705010848221
beta0.234984048553314
S.D.0.118049067142845
T-STAT1.99056251981198
p-value0.140607108838985

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -0.130705010848221 \tabularnewline
beta & 0.234984048553314 \tabularnewline
S.D. & 0.118049067142845 \tabularnewline
T-STAT & 1.99056251981198 \tabularnewline
p-value & 0.140607108838985 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6590&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.130705010848221[/C][/ROW]
[ROW][C]beta[/C][C]0.234984048553314[/C][/ROW]
[ROW][C]S.D.[/C][C]0.118049067142845[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.99056251981198[/C][/ROW]
[ROW][C]p-value[/C][C]0.140607108838985[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6590&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6590&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-0.130705010848221
beta0.234984048553314
S.D.0.118049067142845
T-STAT1.99056251981198
p-value0.140607108838985






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-0.950036823155462
beta0.783569474052082
S.D.0.67587677057618
T-STAT1.15933777896242
p-value0.330211607136866
Lambda0.216430525947918

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -0.950036823155462 \tabularnewline
beta & 0.783569474052082 \tabularnewline
S.D. & 0.67587677057618 \tabularnewline
T-STAT & 1.15933777896242 \tabularnewline
p-value & 0.330211607136866 \tabularnewline
Lambda & 0.216430525947918 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=6590&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-0.950036823155462[/C][/ROW]
[ROW][C]beta[/C][C]0.783569474052082[/C][/ROW]
[ROW][C]S.D.[/C][C]0.67587677057618[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.15933777896242[/C][/ROW]
[ROW][C]p-value[/C][C]0.330211607136866[/C][/ROW]
[ROW][C]Lambda[/C][C]0.216430525947918[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=6590&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=6590&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-0.950036823155462
beta0.783569474052082
S.D.0.67587677057618
T-STAT1.15933777896242
p-value0.330211607136866
Lambda0.216430525947918


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')