Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Fri, 22 May 2009 15:04:20 -0600

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/2009/May/22/t124302641624pl4p36k8vb4o3.htm/, Retrieved Sun, 05 May 2024 14:22:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=40311, Retrieved Sun, 05 May 2024 14:22:13 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

Duncan Huysmans Opgave 8 opdracht 3

IsPrivate?

No (this computation is public)

User-defined keywords

Duncan Huysmans Opgave 8 opdracht 3

Estimated Impact

195

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

-       [Standard Deviation-Mean Plot] [Duncan Huysmans O...] [2009-05-22 21:04:20] [d41d8cd98f00b204e9800998ecf8427e] [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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40311&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40311&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40311&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	54.325	4.74157146946031	11.3
2	59.325	3.14576434802948	6.7
3	71.85	4.73743953347516	9.80000000000001
4	88.175	2.45950537032686	5.09999999999999
5	103.3	6.0844062980705	12.9
6	122.6	5.71955709240963	13.4
7	128.95	4.67796251944513	9.80000000000001
8	143.35	7.26521392206269	16.6000000000000
9	151.8	18.0456827708642	38.1
10	187.65	5.18876992487943	11
11	175.15	24.9749874874844	59.4
12	164.825	22.5674359790089	52.5
13	208.175	14.3936039035862	34.3
14	314.975	43.0489159755117	97.6
15	325.35	20.7766696080002	45.3
16	364.475	31.6773709978169	71
17	425.975	19.0021709286071	39.1
18	465.85	19.1550689548920	40.4

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 54.325 & 4.74157146946031 & 11.3 \tabularnewline
2 & 59.325 & 3.14576434802948 & 6.7 \tabularnewline
3 & 71.85 & 4.73743953347516 & 9.80000000000001 \tabularnewline
4 & 88.175 & 2.45950537032686 & 5.09999999999999 \tabularnewline
5 & 103.3 & 6.0844062980705 & 12.9 \tabularnewline
6 & 122.6 & 5.71955709240963 & 13.4 \tabularnewline
7 & 128.95 & 4.67796251944513 & 9.80000000000001 \tabularnewline
8 & 143.35 & 7.26521392206269 & 16.6000000000000 \tabularnewline
9 & 151.8 & 18.0456827708642 & 38.1 \tabularnewline
10 & 187.65 & 5.18876992487943 & 11 \tabularnewline
11 & 175.15 & 24.9749874874844 & 59.4 \tabularnewline
12 & 164.825 & 22.5674359790089 & 52.5 \tabularnewline
13 & 208.175 & 14.3936039035862 & 34.3 \tabularnewline
14 & 314.975 & 43.0489159755117 & 97.6 \tabularnewline
15 & 325.35 & 20.7766696080002 & 45.3 \tabularnewline
16 & 364.475 & 31.6773709978169 & 71 \tabularnewline
17 & 425.975 & 19.0021709286071 & 39.1 \tabularnewline
18 & 465.85 & 19.1550689548920 & 40.4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40311&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]54.325[/C][C]4.74157146946031[/C][C]11.3[/C][/ROW]
[ROW][C]2[/C][C]59.325[/C][C]3.14576434802948[/C][C]6.7[/C][/ROW]
[ROW][C]3[/C][C]71.85[/C][C]4.73743953347516[/C][C]9.80000000000001[/C][/ROW]
[ROW][C]4[/C][C]88.175[/C][C]2.45950537032686[/C][C]5.09999999999999[/C][/ROW]
[ROW][C]5[/C][C]103.3[/C][C]6.0844062980705[/C][C]12.9[/C][/ROW]
[ROW][C]6[/C][C]122.6[/C][C]5.71955709240963[/C][C]13.4[/C][/ROW]
[ROW][C]7[/C][C]128.95[/C][C]4.67796251944513[/C][C]9.80000000000001[/C][/ROW]
[ROW][C]8[/C][C]143.35[/C][C]7.26521392206269[/C][C]16.6000000000000[/C][/ROW]
[ROW][C]9[/C][C]151.8[/C][C]18.0456827708642[/C][C]38.1[/C][/ROW]
[ROW][C]10[/C][C]187.65[/C][C]5.18876992487943[/C][C]11[/C][/ROW]
[ROW][C]11[/C][C]175.15[/C][C]24.9749874874844[/C][C]59.4[/C][/ROW]
[ROW][C]12[/C][C]164.825[/C][C]22.5674359790089[/C][C]52.5[/C][/ROW]
[ROW][C]13[/C][C]208.175[/C][C]14.3936039035862[/C][C]34.3[/C][/ROW]
[ROW][C]14[/C][C]314.975[/C][C]43.0489159755117[/C][C]97.6[/C][/ROW]
[ROW][C]15[/C][C]325.35[/C][C]20.7766696080002[/C][C]45.3[/C][/ROW]
[ROW][C]16[/C][C]364.475[/C][C]31.6773709978169[/C][C]71[/C][/ROW]
[ROW][C]17[/C][C]425.975[/C][C]19.0021709286071[/C][C]39.1[/C][/ROW]
[ROW][C]18[/C][C]465.85[/C][C]19.1550689548920[/C][C]40.4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40311&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40311&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	54.325	4.74157146946031	11.3
2	59.325	3.14576434802948	6.7
3	71.85	4.73743953347516	9.80000000000001
4	88.175	2.45950537032686	5.09999999999999
5	103.3	6.0844062980705	12.9
6	122.6	5.71955709240963	13.4
7	128.95	4.67796251944513	9.80000000000001
8	143.35	7.26521392206269	16.6000000000000
9	151.8	18.0456827708642	38.1
10	187.65	5.18876992487943	11
11	175.15	24.9749874874844	59.4
12	164.825	22.5674359790089	52.5
13	208.175	14.3936039035862	34.3
14	314.975	43.0489159755117	97.6
15	325.35	20.7766696080002	45.3
16	364.475	31.6773709978169	71
17	425.975	19.0021709286071	39.1
18	465.85	19.1550689548920	40.4

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	2.29981458886056
beta	0.0608153410996431
S.D.	0.0165455393079671
T-STAT	3.67563365374006
p-value	0.00204494057437327

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 2.29981458886056 \tabularnewline
beta & 0.0608153410996431 \tabularnewline
S.D. & 0.0165455393079671 \tabularnewline
T-STAT & 3.67563365374006 \tabularnewline
p-value & 0.00204494057437327 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40311&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]2.29981458886056[/C][/ROW]
[ROW][C]beta[/C][C]0.0608153410996431[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0165455393079671[/C][/ROW]
[ROW][C]T-STAT[/C][C]3.67563365374006[/C][/ROW]
[ROW][C]p-value[/C][C]0.00204494057437327[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40311&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40311&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	2.29981458886056
beta	0.0608153410996431
S.D.	0.0165455393079671
T-STAT	3.67563365374006
p-value	0.00204494057437327

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.09475727940267
beta	1.06577502254939
S.D.	0.197876535164320
T-STAT	5.38606066487041
p-value	6.06025734682578e-05
Lambda	-0.0657750225493925

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.09475727940267 \tabularnewline
beta & 1.06577502254939 \tabularnewline
S.D. & 0.197876535164320 \tabularnewline
T-STAT & 5.38606066487041 \tabularnewline
p-value & 6.06025734682578e-05 \tabularnewline
Lambda & -0.0657750225493925 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=40311&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.09475727940267[/C][/ROW]
[ROW][C]beta[/C][C]1.06577502254939[/C][/ROW]
[ROW][C]S.D.[/C][C]0.197876535164320[/C][/ROW]
[ROW][C]T-STAT[/C][C]5.38606066487041[/C][/ROW]
[ROW][C]p-value[/C][C]6.06025734682578e-05[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.0657750225493925[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=40311&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=40311&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	-3.09475727940267
beta	1.06577502254939
S.D.	0.197876535164320
T-STAT	5.38606066487041
p-value	6.06025734682578e-05
Lambda	-0.0657750225493925

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code