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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

Thu, 14 Dec 2017 10:56:18 +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/14/t15132453961x6yx203re6kg0c.htm/, Retrieved Tue, 14 May 2024 21:15:16 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309430, Retrieved Tue, 14 May 2024 21:15:16 +0000

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Original text written by user:

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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...] [2017-12-14 09:56:18] [5c76e56d84d1440d36aad135bd2f9339] [Current]

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Dataseries X:

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Histogram

Boxplots

18142
8613
8347
7054
5179
6785
7887
6926
6355
7533
6727
8215
13880
10484
9847
6952
9393
12870
9330
14726
10176.66667
7815
6419
9900
9999.833333
14523
12419
8923
11857
12676
14873
11711
15243
9751
7631
8161
10435
15188
10237
11642
16513
18632
15526
14991
10365
10369
10912
14476.83333
19891
17448
17876
11414
9452
15509
11286
13318
9298.833333
6850
4497
4333
7301
4323
6033
4513
4442
7666
6260
5339
3686
4549
3675
7356
8341
20001
9554
6334
4313
4161
7835
9109
7691
5091
7407
11632
17611
9481
7603
4485
10381
8796
10132
10163
17969
6695

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=309430&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=309430&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309430&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	8146.91666666667	3291.63710190022	12963
2	10149.3888891667	2582.50911517905	8307
3	11480.65277775	2610.97742493413	7612
4	13273.9027775	2934.99490329947	8395
5	11764.40277775	5188.29354280409	15558
6	5428.58333333333	1452.60840361139	3991
7	8455.75	4248.2947193818	15840

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 8146.91666666667 & 3291.63710190022 & 12963 \tabularnewline
2 & 10149.3888891667 & 2582.50911517905 & 8307 \tabularnewline
3 & 11480.65277775 & 2610.97742493413 & 7612 \tabularnewline
4 & 13273.9027775 & 2934.99490329947 & 8395 \tabularnewline
5 & 11764.40277775 & 5188.29354280409 & 15558 \tabularnewline
6 & 5428.58333333333 & 1452.60840361139 & 3991 \tabularnewline
7 & 8455.75 & 4248.2947193818 & 15840 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309430&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]8146.91666666667[/C][C]3291.63710190022[/C][C]12963[/C][/ROW]
[ROW][C]2[/C][C]10149.3888891667[/C][C]2582.50911517905[/C][C]8307[/C][/ROW]
[ROW][C]3[/C][C]11480.65277775[/C][C]2610.97742493413[/C][C]7612[/C][/ROW]
[ROW][C]4[/C][C]13273.9027775[/C][C]2934.99490329947[/C][C]8395[/C][/ROW]
[ROW][C]5[/C][C]11764.40277775[/C][C]5188.29354280409[/C][C]15558[/C][/ROW]
[ROW][C]6[/C][C]5428.58333333333[/C][C]1452.60840361139[/C][C]3991[/C][/ROW]
[ROW][C]7[/C][C]8455.75[/C][C]4248.2947193818[/C][C]15840[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309430&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309430&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	8146.91666666667	3291.63710190022	12963
2	10149.3888891667	2582.50911517905	8307
3	11480.65277775	2610.97742493413	7612
4	13273.9027775	2934.99490329947	8395
5	11764.40277775	5188.29354280409	15558
6	5428.58333333333	1452.60840361139	3991
7	8455.75	4248.2947193818	15840

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1373.18327389765
beta	0.184819603130508
S.D.	0.187304762088402
T-STAT	0.986732003339448
p-value	0.369085617653526

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1373.18327389765 \tabularnewline
beta & 0.184819603130508 \tabularnewline
S.D. & 0.187304762088402 \tabularnewline
T-STAT & 0.986732003339448 \tabularnewline
p-value & 0.369085617653526 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309430&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1373.18327389765[/C][/ROW]
[ROW][C]beta[/C][C]0.184819603130508[/C][/ROW]
[ROW][C]S.D.[/C][C]0.187304762088402[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.986732003339448[/C][/ROW]
[ROW][C]p-value[/C][C]0.369085617653526[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309430&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309430&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	1373.18327389765
beta	0.184819603130508
S.D.	0.187304762088402
T-STAT	0.986732003339448
p-value	0.369085617653526

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.90864331129155
beta	0.774514789194693
S.D.	0.494033773805369
T-STAT	1.56773651977045
p-value	0.177728367964085
Lambda	0.225485210805307

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.90864331129155 \tabularnewline
beta & 0.774514789194693 \tabularnewline
S.D. & 0.494033773805369 \tabularnewline
T-STAT & 1.56773651977045 \tabularnewline
p-value & 0.177728367964085 \tabularnewline
Lambda & 0.225485210805307 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309430&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.90864331129155[/C][/ROW]
[ROW][C]beta[/C][C]0.774514789194693[/C][/ROW]
[ROW][C]S.D.[/C][C]0.494033773805369[/C][/ROW]
[ROW][C]T-STAT[/C][C]1.56773651977045[/C][/ROW]
[ROW][C]p-value[/C][C]0.177728367964085[/C][/ROW]
[ROW][C]Lambda[/C][C]0.225485210805307[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309430&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309430&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	0.90864331129155
beta	0.774514789194693
S.D.	0.494033773805369
T-STAT	1.56773651977045
p-value	0.177728367964085
Lambda	0.225485210805307

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 <- '12'
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