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Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Thu, 27 May 2010 19:24:22 +0000

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/2010/May/27/t1274988311tqfpa77cbemrsov.htm/, Retrieved Thu, 02 May 2024 10:11:26 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=76615, Retrieved Thu, 02 May 2024 10:11:26 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

KDGP2W83

Estimated Impact

174

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

-       [Standard Deviation-Mean Plot] [Spreidings en gem...] [2010-05-27 19:24:22] [03859715711bd3369851d387eaa83ba4] [Current]

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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=76615&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=76615&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76615&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	2431	459.197851330629	1100
2	2752.5	522.652529570715	1244
3	3378.25	750.991511270267	1609
4	2572.5	400.847019863356	884
5	3146.25	689.13345345199	1490
6	3476.75	506.887479295619	971
7	2731	302.025385246561	662
8	3117.5	302.148418275964	679
9	3387.75	530.608691347337	1085
10	2582.25	350.820348136574	813
11	3198	472.872780636258	977
12	3243	594.977310491753	1239
13	2475.75	148.383231307764	334
14	2943.25	676.007581318435	1623
15	3536.5	614.702909271354	1202
16	2684	271.780548727584	557
17	3278.25	508.446899882377	1023
18	3386.5	578.739722730924	1312
19	2390.5	126.463433450148	282
20	3012.75	650.641926612993	1382
21	3488.25	626.297785934668	1302

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 2431 & 459.197851330629 & 1100 \tabularnewline
2 & 2752.5 & 522.652529570715 & 1244 \tabularnewline
3 & 3378.25 & 750.991511270267 & 1609 \tabularnewline
4 & 2572.5 & 400.847019863356 & 884 \tabularnewline
5 & 3146.25 & 689.13345345199 & 1490 \tabularnewline
6 & 3476.75 & 506.887479295619 & 971 \tabularnewline
7 & 2731 & 302.025385246561 & 662 \tabularnewline
8 & 3117.5 & 302.148418275964 & 679 \tabularnewline
9 & 3387.75 & 530.608691347337 & 1085 \tabularnewline
10 & 2582.25 & 350.820348136574 & 813 \tabularnewline
11 & 3198 & 472.872780636258 & 977 \tabularnewline
12 & 3243 & 594.977310491753 & 1239 \tabularnewline
13 & 2475.75 & 148.383231307764 & 334 \tabularnewline
14 & 2943.25 & 676.007581318435 & 1623 \tabularnewline
15 & 3536.5 & 614.702909271354 & 1202 \tabularnewline
16 & 2684 & 271.780548727584 & 557 \tabularnewline
17 & 3278.25 & 508.446899882377 & 1023 \tabularnewline
18 & 3386.5 & 578.739722730924 & 1312 \tabularnewline
19 & 2390.5 & 126.463433450148 & 282 \tabularnewline
20 & 3012.75 & 650.641926612993 & 1382 \tabularnewline
21 & 3488.25 & 626.297785934668 & 1302 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76615&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]2431[/C][C]459.197851330629[/C][C]1100[/C][/ROW]
[ROW][C]2[/C][C]2752.5[/C][C]522.652529570715[/C][C]1244[/C][/ROW]
[ROW][C]3[/C][C]3378.25[/C][C]750.991511270267[/C][C]1609[/C][/ROW]
[ROW][C]4[/C][C]2572.5[/C][C]400.847019863356[/C][C]884[/C][/ROW]
[ROW][C]5[/C][C]3146.25[/C][C]689.13345345199[/C][C]1490[/C][/ROW]
[ROW][C]6[/C][C]3476.75[/C][C]506.887479295619[/C][C]971[/C][/ROW]
[ROW][C]7[/C][C]2731[/C][C]302.025385246561[/C][C]662[/C][/ROW]
[ROW][C]8[/C][C]3117.5[/C][C]302.148418275964[/C][C]679[/C][/ROW]
[ROW][C]9[/C][C]3387.75[/C][C]530.608691347337[/C][C]1085[/C][/ROW]
[ROW][C]10[/C][C]2582.25[/C][C]350.820348136574[/C][C]813[/C][/ROW]
[ROW][C]11[/C][C]3198[/C][C]472.872780636258[/C][C]977[/C][/ROW]
[ROW][C]12[/C][C]3243[/C][C]594.977310491753[/C][C]1239[/C][/ROW]
[ROW][C]13[/C][C]2475.75[/C][C]148.383231307764[/C][C]334[/C][/ROW]
[ROW][C]14[/C][C]2943.25[/C][C]676.007581318435[/C][C]1623[/C][/ROW]
[ROW][C]15[/C][C]3536.5[/C][C]614.702909271354[/C][C]1202[/C][/ROW]
[ROW][C]16[/C][C]2684[/C][C]271.780548727584[/C][C]557[/C][/ROW]
[ROW][C]17[/C][C]3278.25[/C][C]508.446899882377[/C][C]1023[/C][/ROW]
[ROW][C]18[/C][C]3386.5[/C][C]578.739722730924[/C][C]1312[/C][/ROW]
[ROW][C]19[/C][C]2390.5[/C][C]126.463433450148[/C][C]282[/C][/ROW]
[ROW][C]20[/C][C]3012.75[/C][C]650.641926612993[/C][C]1382[/C][/ROW]
[ROW][C]21[/C][C]3488.25[/C][C]626.297785934668[/C][C]1302[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76615&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76615&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	2431	459.197851330629	1100
2	2752.5	522.652529570715	1244
3	3378.25	750.991511270267	1609
4	2572.5	400.847019863356	884
5	3146.25	689.13345345199	1490
6	3476.75	506.887479295619	971
7	2731	302.025385246561	662
8	3117.5	302.148418275964	679
9	3387.75	530.608691347337	1085
10	2582.25	350.820348136574	813
11	3198	472.872780636258	977
12	3243	594.977310491753	1239
13	2475.75	148.383231307764	334
14	2943.25	676.007581318435	1623
15	3536.5	614.702909271354	1202
16	2684	271.780548727584	557
17	3278.25	508.446899882377	1023
18	3386.5	578.739722730924	1312
19	2390.5	126.463433450148	282
20	3012.75	650.641926612993	1382
21	3488.25	626.297785934668	1302

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-476.800610924133
beta	0.317934580147282
S.D.	0.0750846408538148
T-STAT	4.23434908300728
p-value	0.000448745583144832

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -476.800610924133 \tabularnewline
beta & 0.317934580147282 \tabularnewline
S.D. & 0.0750846408538148 \tabularnewline
T-STAT & 4.23434908300728 \tabularnewline
p-value & 0.000448745583144832 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76615&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-476.800610924133[/C][/ROW]
[ROW][C]beta[/C][C]0.317934580147282[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0750846408538148[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.23434908300728[/C][/ROW]
[ROW][C]p-value[/C][C]0.000448745583144832[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76615&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76615&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	-476.800610924133
beta	0.317934580147282
S.D.	0.0750846408538148
T-STAT	4.23434908300728
p-value	0.000448745583144832

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-14.7195176171425
beta	2.59988562628623
S.D.	0.596052553962124
T-STAT	4.36183958780829
p-value	0.000335627883011102
Lambda	-1.59988562628623

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -14.7195176171425 \tabularnewline
beta & 2.59988562628623 \tabularnewline
S.D. & 0.596052553962124 \tabularnewline
T-STAT & 4.36183958780829 \tabularnewline
p-value & 0.000335627883011102 \tabularnewline
Lambda & -1.59988562628623 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=76615&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-14.7195176171425[/C][/ROW]
[ROW][C]beta[/C][C]2.59988562628623[/C][/ROW]
[ROW][C]S.D.[/C][C]0.596052553962124[/C][/ROW]
[ROW][C]T-STAT[/C][C]4.36183958780829[/C][/ROW]
[ROW][C]p-value[/C][C]0.000335627883011102[/C][/ROW]
[ROW][C]Lambda[/C][C]-1.59988562628623[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=76615&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=76615&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	-14.7195176171425
beta	2.59988562628623
S.D.	0.596052553962124
T-STAT	4.36183958780829
p-value	0.000335627883011102
Lambda	-1.59988562628623

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')

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Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code