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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

Sat, 29 Nov 2014 15:22:12 +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/2014/Nov/29/t14172747304v2t9nfvvo0ayiq.htm/, Retrieved Sun, 19 May 2024 14:55:56 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261178, Retrieved Sun, 19 May 2024 14:55:56 +0000

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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] [WS9] [2014-11-29 15:22:12] [c15d474939d69eac0efd26ce7542850f] [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	1 seconds
R Server	'George Udny Yule' @ yule.wessa.net

\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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261178&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261178&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261178&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	'George Udny Yule' @ yule.wessa.net

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1444104.75	706888.62339707	2302434
2	1460099.41666667	746037.806240098	2616389
3	1488554.33333333	697461.03363001	2271192
4	1447041.16666667	686038.316303481	2173613
5	1465565.66666667	711564.898732407	2290635
6	1445590.91666667	707810.757066586	2182580
7	353.341666666667	36.2089506346236	110.8
8	285.308333333333	46.6051783766048	138.5
9	275.125	35.0509272345255	108.8
10	285.85	30.7409262296136	86.7
11	460.166666666667	56.0969831198748	147.3
12	373.95	53.1021228817215	150.3
13	385.1	35.1442999387072	115.5
14	471.358333333333	64.2130184808676	179.1
15	394.208333333333	40.6847628018454	138.7
16	407	46.6030432092544	147.6
17	378.575	49.9696839912143	132
18	336.633333333333	51.5290973993129	146.3
19	287.841666666667	33.2699826033054	112.7
20	297.566666666667	30.476438987082	117
21	281.666666666667	40.7140434412173	131.1
22	283.033333333333	28.4860837901065	109
23	408.85	48.934882520271	128.5
24	499.333333333333	37.5159925494408	109.6
25	484.008333333333	48.4390236808249	133.1
26	430.433333333333	37.4665022103584	108.4
27	507.583333333333	53.8722703730919	196.2
28	782.975	48.4555489832973	137.4
29	728.8	53.3077684940777	187
30	685.558333333333	72.5442618285032	222.9
31	604.716666666667	50.4040372360882	144

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1444104.75 & 706888.62339707 & 2302434 \tabularnewline
2 & 1460099.41666667 & 746037.806240098 & 2616389 \tabularnewline
3 & 1488554.33333333 & 697461.03363001 & 2271192 \tabularnewline
4 & 1447041.16666667 & 686038.316303481 & 2173613 \tabularnewline
5 & 1465565.66666667 & 711564.898732407 & 2290635 \tabularnewline
6 & 1445590.91666667 & 707810.757066586 & 2182580 \tabularnewline
7 & 353.341666666667 & 36.2089506346236 & 110.8 \tabularnewline
8 & 285.308333333333 & 46.6051783766048 & 138.5 \tabularnewline
9 & 275.125 & 35.0509272345255 & 108.8 \tabularnewline
10 & 285.85 & 30.7409262296136 & 86.7 \tabularnewline
11 & 460.166666666667 & 56.0969831198748 & 147.3 \tabularnewline
12 & 373.95 & 53.1021228817215 & 150.3 \tabularnewline
13 & 385.1 & 35.1442999387072 & 115.5 \tabularnewline
14 & 471.358333333333 & 64.2130184808676 & 179.1 \tabularnewline
15 & 394.208333333333 & 40.6847628018454 & 138.7 \tabularnewline
16 & 407 & 46.6030432092544 & 147.6 \tabularnewline
17 & 378.575 & 49.9696839912143 & 132 \tabularnewline
18 & 336.633333333333 & 51.5290973993129 & 146.3 \tabularnewline
19 & 287.841666666667 & 33.2699826033054 & 112.7 \tabularnewline
20 & 297.566666666667 & 30.476438987082 & 117 \tabularnewline
21 & 281.666666666667 & 40.7140434412173 & 131.1 \tabularnewline
22 & 283.033333333333 & 28.4860837901065 & 109 \tabularnewline
23 & 408.85 & 48.934882520271 & 128.5 \tabularnewline
24 & 499.333333333333 & 37.5159925494408 & 109.6 \tabularnewline
25 & 484.008333333333 & 48.4390236808249 & 133.1 \tabularnewline
26 & 430.433333333333 & 37.4665022103584 & 108.4 \tabularnewline
27 & 507.583333333333 & 53.8722703730919 & 196.2 \tabularnewline
28 & 782.975 & 48.4555489832973 & 137.4 \tabularnewline
29 & 728.8 & 53.3077684940777 & 187 \tabularnewline
30 & 685.558333333333 & 72.5442618285032 & 222.9 \tabularnewline
31 & 604.716666666667 & 50.4040372360882 & 144 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261178&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]1444104.75[/C][C]706888.62339707[/C][C]2302434[/C][/ROW]
[ROW][C]2[/C][C]1460099.41666667[/C][C]746037.806240098[/C][C]2616389[/C][/ROW]
[ROW][C]3[/C][C]1488554.33333333[/C][C]697461.03363001[/C][C]2271192[/C][/ROW]
[ROW][C]4[/C][C]1447041.16666667[/C][C]686038.316303481[/C][C]2173613[/C][/ROW]
[ROW][C]5[/C][C]1465565.66666667[/C][C]711564.898732407[/C][C]2290635[/C][/ROW]
[ROW][C]6[/C][C]1445590.91666667[/C][C]707810.757066586[/C][C]2182580[/C][/ROW]
[ROW][C]7[/C][C]353.341666666667[/C][C]36.2089506346236[/C][C]110.8[/C][/ROW]
[ROW][C]8[/C][C]285.308333333333[/C][C]46.6051783766048[/C][C]138.5[/C][/ROW]
[ROW][C]9[/C][C]275.125[/C][C]35.0509272345255[/C][C]108.8[/C][/ROW]
[ROW][C]10[/C][C]285.85[/C][C]30.7409262296136[/C][C]86.7[/C][/ROW]
[ROW][C]11[/C][C]460.166666666667[/C][C]56.0969831198748[/C][C]147.3[/C][/ROW]
[ROW][C]12[/C][C]373.95[/C][C]53.1021228817215[/C][C]150.3[/C][/ROW]
[ROW][C]13[/C][C]385.1[/C][C]35.1442999387072[/C][C]115.5[/C][/ROW]
[ROW][C]14[/C][C]471.358333333333[/C][C]64.2130184808676[/C][C]179.1[/C][/ROW]
[ROW][C]15[/C][C]394.208333333333[/C][C]40.6847628018454[/C][C]138.7[/C][/ROW]
[ROW][C]16[/C][C]407[/C][C]46.6030432092544[/C][C]147.6[/C][/ROW]
[ROW][C]17[/C][C]378.575[/C][C]49.9696839912143[/C][C]132[/C][/ROW]
[ROW][C]18[/C][C]336.633333333333[/C][C]51.5290973993129[/C][C]146.3[/C][/ROW]
[ROW][C]19[/C][C]287.841666666667[/C][C]33.2699826033054[/C][C]112.7[/C][/ROW]
[ROW][C]20[/C][C]297.566666666667[/C][C]30.476438987082[/C][C]117[/C][/ROW]
[ROW][C]21[/C][C]281.666666666667[/C][C]40.7140434412173[/C][C]131.1[/C][/ROW]
[ROW][C]22[/C][C]283.033333333333[/C][C]28.4860837901065[/C][C]109[/C][/ROW]
[ROW][C]23[/C][C]408.85[/C][C]48.934882520271[/C][C]128.5[/C][/ROW]
[ROW][C]24[/C][C]499.333333333333[/C][C]37.5159925494408[/C][C]109.6[/C][/ROW]
[ROW][C]25[/C][C]484.008333333333[/C][C]48.4390236808249[/C][C]133.1[/C][/ROW]
[ROW][C]26[/C][C]430.433333333333[/C][C]37.4665022103584[/C][C]108.4[/C][/ROW]
[ROW][C]27[/C][C]507.583333333333[/C][C]53.8722703730919[/C][C]196.2[/C][/ROW]
[ROW][C]28[/C][C]782.975[/C][C]48.4555489832973[/C][C]137.4[/C][/ROW]
[ROW][C]29[/C][C]728.8[/C][C]53.3077684940777[/C][C]187[/C][/ROW]
[ROW][C]30[/C][C]685.558333333333[/C][C]72.5442618285032[/C][C]222.9[/C][/ROW]
[ROW][C]31[/C][C]604.716666666667[/C][C]50.4040372360882[/C][C]144[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261178&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261178&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	1444104.75	706888.62339707	2302434
2	1460099.41666667	746037.806240098	2616389
3	1488554.33333333	697461.03363001	2271192
4	1447041.16666667	686038.316303481	2173613
5	1465565.66666667	711564.898732407	2290635
6	1445590.91666667	707810.757066586	2182580
7	353.341666666667	36.2089506346236	110.8
8	285.308333333333	46.6051783766048	138.5
9	275.125	35.0509272345255	108.8
10	285.85	30.7409262296136	86.7
11	460.166666666667	56.0969831198748	147.3
12	373.95	53.1021228817215	150.3
13	385.1	35.1442999387072	115.5
14	471.358333333333	64.2130184808676	179.1
15	394.208333333333	40.6847628018454	138.7
16	407	46.6030432092544	147.6
17	378.575	49.9696839912143	132
18	336.633333333333	51.5290973993129	146.3
19	287.841666666667	33.2699826033054	112.7
20	297.566666666667	30.476438987082	117
21	281.666666666667	40.7140434412173	131.1
22	283.033333333333	28.4860837901065	109
23	408.85	48.934882520271	128.5
24	499.333333333333	37.5159925494408	109.6
25	484.008333333333	48.4390236808249	133.1
26	430.433333333333	37.4665022103584	108.4
27	507.583333333333	53.8722703730919	196.2
28	782.975	48.4555489832973	137.4
29	728.8	53.3077684940777	187
30	685.558333333333	72.5442618285032	222.9
31	604.716666666667	50.4040372360882	144

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	-144.341885806832
beta	0.486370511036935
S.D.	0.00280735628632606
T-STAT	173.248587436488
p-value	2.78267373287586e-45

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -144.341885806832 \tabularnewline
beta & 0.486370511036935 \tabularnewline
S.D. & 0.00280735628632606 \tabularnewline
T-STAT & 173.248587436488 \tabularnewline
p-value & 2.78267373287586e-45 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261178&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-144.341885806832[/C][/ROW]
[ROW][C]beta[/C][C]0.486370511036935[/C][/ROW]
[ROW][C]S.D.[/C][C]0.00280735628632606[/C][/ROW]
[ROW][C]T-STAT[/C][C]173.248587436488[/C][/ROW]
[ROW][C]p-value[/C][C]2.78267373287586e-45[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261178&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261178&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	-144.341885806832
beta	0.486370511036935
S.D.	0.00280735628632606
T-STAT	173.248587436488
p-value	2.78267373287586e-45

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	-3.29502934104707
beta	1.17911269921555
S.D.	0.0140125110537411
T-STAT	84.147137846557
p-value	3.31680079409444e-36
Lambda	-0.179112699215555

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -3.29502934104707 \tabularnewline
beta & 1.17911269921555 \tabularnewline
S.D. & 0.0140125110537411 \tabularnewline
T-STAT & 84.147137846557 \tabularnewline
p-value & 3.31680079409444e-36 \tabularnewline
Lambda & -0.179112699215555 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261178&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3.29502934104707[/C][/ROW]
[ROW][C]beta[/C][C]1.17911269921555[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0140125110537411[/C][/ROW]
[ROW][C]T-STAT[/C][C]84.147137846557[/C][/ROW]
[ROW][C]p-value[/C][C]3.31680079409444e-36[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.179112699215555[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261178&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261178&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	-3.29502934104707
beta	1.17911269921555
S.D.	0.0140125110537411
T-STAT	84.147137846557
p-value	3.31680079409444e-36
Lambda	-0.179112699215555

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 <- 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