Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sat, 09 Dec 2017 11:19:45 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/09/t1512814924cepbfvzreumjvwj.htm/, Retrieved Mon, 13 May 2024 20:46:29 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308837, Retrieved Mon, 13 May 2024 20:46:29 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Standard Deviation-Mean Plot] [Standard deviatio...] [2017-12-09 10:19:45] [a8eb7d5a2159f1476456749db34f2e15] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308837&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308837&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308837&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	56.9916666666667	5.11352188424046	19.4
2	58.5166666666667	3.49514815223341	10.7
3	63.1333333333333	6.76519613816767	20
4	66.9583333333333	7.40067052654178	26.4
5	79.975	8.58297733889587	24.2
6	76.2666666666667	6.87648606528513	20.5
7	71.8833333333333	7.19745325329268	27.6
8	72.8916666666667	7.44854571935578	21.8
9	88.1833333333333	7.81325602402543	28
10	89.9666666666667	9.66374041393284	30.8
11	100.008333333333	13.422197241431	39.9
12	113.683333333333	8.57605899459582	24.1
13	113.4	11.7467984032788	42.1
14	98.6916666666667	10.3833309013081	33.2
15	107.216666666667	10.9684533867346	39.1
16	104.408333333333	9.45000801667128	29
17	100.25	15.2635334882017	50.6

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 56.9916666666667 & 5.11352188424046 & 19.4 \tabularnewline
2 & 58.5166666666667 & 3.49514815223341 & 10.7 \tabularnewline
3 & 63.1333333333333 & 6.76519613816767 & 20 \tabularnewline
4 & 66.9583333333333 & 7.40067052654178 & 26.4 \tabularnewline
5 & 79.975 & 8.58297733889587 & 24.2 \tabularnewline
6 & 76.2666666666667 & 6.87648606528513 & 20.5 \tabularnewline
7 & 71.8833333333333 & 7.19745325329268 & 27.6 \tabularnewline
8 & 72.8916666666667 & 7.44854571935578 & 21.8 \tabularnewline
9 & 88.1833333333333 & 7.81325602402543 & 28 \tabularnewline
10 & 89.9666666666667 & 9.66374041393284 & 30.8 \tabularnewline
11 & 100.008333333333 & 13.422197241431 & 39.9 \tabularnewline
12 & 113.683333333333 & 8.57605899459582 & 24.1 \tabularnewline
13 & 113.4 & 11.7467984032788 & 42.1 \tabularnewline
14 & 98.6916666666667 & 10.3833309013081 & 33.2 \tabularnewline
15 & 107.216666666667 & 10.9684533867346 & 39.1 \tabularnewline
16 & 104.408333333333 & 9.45000801667128 & 29 \tabularnewline
17 & 100.25 & 15.2635334882017 & 50.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308837&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]56.9916666666667[/C][C]5.11352188424046[/C][C]19.4[/C][/ROW]
[ROW][C]2[/C][C]58.5166666666667[/C][C]3.49514815223341[/C][C]10.7[/C][/ROW]
[ROW][C]3[/C][C]63.1333333333333[/C][C]6.76519613816767[/C][C]20[/C][/ROW]
[ROW][C]4[/C][C]66.9583333333333[/C][C]7.40067052654178[/C][C]26.4[/C][/ROW]
[ROW][C]5[/C][C]79.975[/C][C]8.58297733889587[/C][C]24.2[/C][/ROW]
[ROW][C]6[/C][C]76.2666666666667[/C][C]6.87648606528513[/C][C]20.5[/C][/ROW]
[ROW][C]7[/C][C]71.8833333333333[/C][C]7.19745325329268[/C][C]27.6[/C][/ROW]
[ROW][C]8[/C][C]72.8916666666667[/C][C]7.44854571935578[/C][C]21.8[/C][/ROW]
[ROW][C]9[/C][C]88.1833333333333[/C][C]7.81325602402543[/C][C]28[/C][/ROW]
[ROW][C]10[/C][C]89.9666666666667[/C][C]9.66374041393284[/C][C]30.8[/C][/ROW]
[ROW][C]11[/C][C]100.008333333333[/C][C]13.422197241431[/C][C]39.9[/C][/ROW]
[ROW][C]12[/C][C]113.683333333333[/C][C]8.57605899459582[/C][C]24.1[/C][/ROW]
[ROW][C]13[/C][C]113.4[/C][C]11.7467984032788[/C][C]42.1[/C][/ROW]
[ROW][C]14[/C][C]98.6916666666667[/C][C]10.3833309013081[/C][C]33.2[/C][/ROW]
[ROW][C]15[/C][C]107.216666666667[/C][C]10.9684533867346[/C][C]39.1[/C][/ROW]
[ROW][C]16[/C][C]104.408333333333[/C][C]9.45000801667128[/C][C]29[/C][/ROW]
[ROW][C]17[/C][C]100.25[/C][C]15.2635334882017[/C][C]50.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308837&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308837&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	56.9916666666667	5.11352188424046	19.4
2	58.5166666666667	3.49514815223341	10.7
3	63.1333333333333	6.76519613816767	20
4	66.9583333333333	7.40067052654178	26.4
5	79.975	8.58297733889587	24.2
6	76.2666666666667	6.87648606528513	20.5
7	71.8833333333333	7.19745325329268	27.6
8	72.8916666666667	7.44854571935578	21.8
9	88.1833333333333	7.81325602402543	28
10	89.9666666666667	9.66374041393284	30.8
11	100.008333333333	13.422197241431	39.9
12	113.683333333333	8.57605899459582	24.1
13	113.4	11.7467984032788	42.1
14	98.6916666666667	10.3833309013081	33.2
15	107.216666666667	10.9684533867346	39.1
16	104.408333333333	9.45000801667128	29
17	100.25	15.2635334882017	50.6

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1.37866111080563
beta	0.118710097838787
S.D.	0.0248620699026243
T-STAT	4.77474716722024
p-value	0.000245770615032284

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -1.37866111080563 \tabularnewline
beta & 0.118710097838787 \tabularnewline
S.D. & 0.0248620699026243 \tabularnewline
T-STAT & 4.77474716722024 \tabularnewline
p-value & 0.000245770615032284 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308837&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-1.37866111080563[/C][/ROW]
[ROW][C]beta[/C][C]0.118710097838787[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0248620699026243[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.77474716722024[/C][/ROW]
[ROW][C]p-value[/C][C]0.000245770615032284[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308837&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308837&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-1.37866111080563
beta	0.118710097838787
S.D.	0.0248620699026243
T-STAT	4.77474716722024
p-value	0.000245770615032284

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.5068530549408
beta	1.27087506357934
S.D.	0.220452288496407
T-STAT	5.76485312194914
p-value	3.73414704513073e-05
Lambda	-0.270875063579344

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.5068530549408 \tabularnewline
beta & 1.27087506357934 \tabularnewline
S.D. & 0.220452288496407 \tabularnewline
T-STAT & 5.76485312194914 \tabularnewline
p-value & 3.73414704513073e-05 \tabularnewline
Lambda & -0.270875063579344 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308837&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.5068530549408[/C][/ROW]
[ROW][C]beta[/C][C]1.27087506357934[/C][/ROW]
[ROW][C]S.D.[/C][C]0.220452288496407[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.76485312194914[/C][/ROW]
[ROW][C]p-value[/C][C]3.73414704513073e-05[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.270875063579344[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308837&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308837&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.5068530549408
beta	1.27087506357934
S.D.	0.220452288496407
T-STAT	5.76485312194914
p-value	3.73414704513073e-05
Lambda	-0.270875063579344

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- '4'
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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code