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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 computationMon, 22 Dec 2008 04:03:46 -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/22/t122994413641wc7n6urs85amm.htm/, Retrieved Sun, 12 May 2024 23:33:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35998, Retrieved Sun, 12 May 2024 23:33:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact198

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Mean Plot] [Mean Plot] [2008-11-06 16:32:30] [1a98f534d827b920a5783bf87d2d3cce]
- RM D    [Standard Deviation-Mean Plot] [Standard Deviatio...] [2008-12-22 11:03:46] [96839c4b6d4e03ef3851369c676780bf] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
40
38
33
32
28
28
29
29
25
21
11
7
17
24
26
27
25
26
25
24
22
22
22
21
17
16
12
7
14
16
15
12
14
20
10
19
19
22
24
22
21
19
25
21
23
23
19
18
19
19
22
23
20
14
14
14
15
11
17
16
20
24
23
20
21
19
23
23
23
23
27
26
17
24
26
24
27
27
26
24
23
23
24
17
21
19
22
22
18
16
14
12
14
16
8
3
0

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35998&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35998&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35998&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
126.759.7991186987773233
223.41666666666672.7784342658585610
314.33333333333333.7009417310962513
421.33333333333332.229281716090857
5173.6431754380934312
622.66666666666672.386832565759428
723.53.3439225741362810
815.41666666666675.7439032236297519

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 26.75 & 9.79911869877732 & 33 \tabularnewline
2 & 23.4166666666667 & 2.77843426585856 & 10 \tabularnewline
3 & 14.3333333333333 & 3.70094173109625 & 13 \tabularnewline
4 & 21.3333333333333 & 2.22928171609085 & 7 \tabularnewline
5 & 17 & 3.64317543809343 & 12 \tabularnewline
6 & 22.6666666666667 & 2.38683256575942 & 8 \tabularnewline
7 & 23.5 & 3.34392257413628 & 10 \tabularnewline
8 & 15.4166666666667 & 5.74390322362975 & 19 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35998&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]26.75[/C][C]9.79911869877732[/C][C]33[/C][/ROW]
[ROW][C]2[/C][C]23.4166666666667[/C][C]2.77843426585856[/C][C]10[/C][/ROW]
[ROW][C]3[/C][C]14.3333333333333[/C][C]3.70094173109625[/C][C]13[/C][/ROW]
[ROW][C]4[/C][C]21.3333333333333[/C][C]2.22928171609085[/C][C]7[/C][/ROW]
[ROW][C]5[/C][C]17[/C][C]3.64317543809343[/C][C]12[/C][/ROW]
[ROW][C]6[/C][C]22.6666666666667[/C][C]2.38683256575942[/C][C]8[/C][/ROW]
[ROW][C]7[/C][C]23.5[/C][C]3.34392257413628[/C][C]10[/C][/ROW]
[ROW][C]8[/C][C]15.4166666666667[/C][C]5.74390322362975[/C][C]19[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35998&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35998&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
126.759.7991186987773233
223.41666666666672.7784342658585610
314.33333333333333.7009417310962513
421.33333333333332.229281716090857
5173.6431754380934312
622.66666666666672.386832565759428
723.53.3439225741362810
815.41666666666675.7439032236297519






Regression: S.E.(k) = alpha + beta * Mean(k)
alpha1.24276937162261
beta0.144045343581111
S.D.0.223436424759176
T-STAT0.644681563162163
p-value0.542980310696522

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.24276937162261 \tabularnewline
beta & 0.144045343581111 \tabularnewline
S.D. & 0.223436424759176 \tabularnewline
T-STAT & 0.644681563162163 \tabularnewline
p-value & 0.542980310696522 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35998&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.24276937162261[/C][/ROW]
[ROW][C]beta[/C][C]0.144045343581111[/C][/ROW]
[ROW][C]S.D.[/C][C]0.223436424759176[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.644681563162163[/C][/ROW]
[ROW][C]p-value[/C][C]0.542980310696522[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35998&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35998&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)
alpha1.24276937162261
beta0.144045343581111
S.D.0.223436424759176
T-STAT0.644681563162163
p-value0.542980310696522






Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha1.13520737088607
beta0.0604302571173174
S.D.0.88209805163384
T-STAT0.0685074147997349
p-value0.94760773966425
Lambda0.939569742882683

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 1.13520737088607 \tabularnewline
beta & 0.0604302571173174 \tabularnewline
S.D. & 0.88209805163384 \tabularnewline
T-STAT & 0.0685074147997349 \tabularnewline
p-value & 0.94760773966425 \tabularnewline
Lambda & 0.939569742882683 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35998&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.13520737088607[/C][/ROW]
[ROW][C]beta[/C][C]0.0604302571173174[/C][/ROW]
[ROW][C]S.D.[/C][C]0.88209805163384[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.0685074147997349[/C][/ROW]
[ROW][C]p-value[/C][C]0.94760773966425[/C][/ROW]
[ROW][C]Lambda[/C][C]0.939569742882683[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35998&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35998&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)
alpha1.13520737088607
beta0.0604302571173174
S.D.0.88209805163384
T-STAT0.0685074147997349
p-value0.94760773966425
Lambda0.939569742882683


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')