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Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationTue, 10 May 2011 20:14:27 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/May/10/t1305058339djrpga6ba4a9naz.htm/, Retrieved Mon, 13 May 2024 05:55:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=121458, Retrieved Mon, 13 May 2024 05:55:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact80
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Spreidings- gemid...] [2011-05-10 20:14:27] [70eb62609fa967e8827cfcb09ffdb915] [Current]
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Dataseries X:
131676
135050
129070
137792
139762
142917
144198
142648
152170
136022
138142
138135
135027
132911
133976
137012
119610
118106
120383
133185
131416
134248
134397
127728
131837
125955
134187
143291
145074
149812
144668
147253
145568
155564
155872
156323
158010
155598
154785
157294
162938
157283
166074
169282
172552
174055
175409
173696
171283
173322
170717
174229
175339
173511
175839
173816
173990
174777
174819
176726
176199
180952
176663
182346
180605
182497
187856
190020
190108
193288
193230
199068
195076
191563
191067
186665
185508
184371
183046
175714
175768
171029
170465
170102
156389
124291
99360
86675
85056
128236
164257
162401
152779
156005
153387
153190
148840
144211
145953
145542
150271
147489
143824
134754
131736
126304
125511
125495
130133
126257
110323
98417
105749
120665
124075
127245
146731
144979
148210
144670
142970
142524
146142
146522
148128
148798
150181
152388
155694
160662
155520
158262
154338
158196
160371
154856
150636
145899
141242
140834
141119
139104
134437
129425
123155
119273
120472
121523
121983
123658
124794
124827
120382
117395
115790
114283
117271
117448
118764
120550
123554
125412
124182
119828
115361
114226
115214
115864
114276
113469
114883
114172
111225
112149
115618
118002
121382
120663




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 216.218.223.82

\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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 216.218.223.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121458&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 216.218.223.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121458&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121458&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ 216.218.223.82







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
11333973818.079971224638722
2142381.251872.541477066224436
3141117.257435.7421227922316148
4134731.51748.618597636434101
51228216973.7146007944215079
6131947.253129.378146426756669
7133817.57202.4305851103717336
8146701.752363.841559129265144
9153331.755185.2097594986510755
10156421.751487.825342572173225
11163894.255112.1489529029411999
121739281177.099542661252857
13172387.751660.813329867833512
14174626.251137.110775899462328
151750781162.945971803222736
161790403071.741634100546147
17185244.54423.386673880859415
18193923.53737.589374628168960
19191092.753449.30180133128411
20182159.754413.371226549319794
211718412645.636029388775666
22116678.7530740.930482284869714
23134987.537179.479362501479201
24153840.251465.225210220833226
25146136.51949.663646204994629
26144084.56757.4525032243715517
27127261.53006.810547185626241
28116282.514674.453209574831716
29119433.59510.4361449234621496
30146147.51647.500834597663540
31144539.52083.577292382823998
32149873.751881.554034125344260
33157534.52432.842165040725142
34156940.252855.565136711126033
35144652.754603.204925194339802
36136021.255212.5094644198711694
37121105.751646.626323729833882
38123815.51337.093489625912844
39116962.52609.885885117076099
40118508.251515.373303842983279
411232442404.525178352965584
42115166.25685.8407857027271638
43114200579.4854039001611414
44114248.53136.545073803346777

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 133397 & 3818.07997122463 & 8722 \tabularnewline
2 & 142381.25 & 1872.54147706622 & 4436 \tabularnewline
3 & 141117.25 & 7435.74212279223 & 16148 \tabularnewline
4 & 134731.5 & 1748.61859763643 & 4101 \tabularnewline
5 & 122821 & 6973.71460079442 & 15079 \tabularnewline
6 & 131947.25 & 3129.37814642675 & 6669 \tabularnewline
7 & 133817.5 & 7202.43058511037 & 17336 \tabularnewline
8 & 146701.75 & 2363.84155912926 & 5144 \tabularnewline
9 & 153331.75 & 5185.20975949865 & 10755 \tabularnewline
10 & 156421.75 & 1487.82534257217 & 3225 \tabularnewline
11 & 163894.25 & 5112.14895290294 & 11999 \tabularnewline
12 & 173928 & 1177.09954266125 & 2857 \tabularnewline
13 & 172387.75 & 1660.81332986783 & 3512 \tabularnewline
14 & 174626.25 & 1137.11077589946 & 2328 \tabularnewline
15 & 175078 & 1162.94597180322 & 2736 \tabularnewline
16 & 179040 & 3071.74163410054 & 6147 \tabularnewline
17 & 185244.5 & 4423.38667388085 & 9415 \tabularnewline
18 & 193923.5 & 3737.58937462816 & 8960 \tabularnewline
19 & 191092.75 & 3449.3018013312 & 8411 \tabularnewline
20 & 182159.75 & 4413.37122654931 & 9794 \tabularnewline
21 & 171841 & 2645.63602938877 & 5666 \tabularnewline
22 & 116678.75 & 30740.9304822848 & 69714 \tabularnewline
23 & 134987.5 & 37179.4793625014 & 79201 \tabularnewline
24 & 153840.25 & 1465.22521022083 & 3226 \tabularnewline
25 & 146136.5 & 1949.66364620499 & 4629 \tabularnewline
26 & 144084.5 & 6757.45250322437 & 15517 \tabularnewline
27 & 127261.5 & 3006.81054718562 & 6241 \tabularnewline
28 & 116282.5 & 14674.4532095748 & 31716 \tabularnewline
29 & 119433.5 & 9510.43614492346 & 21496 \tabularnewline
30 & 146147.5 & 1647.50083459766 & 3540 \tabularnewline
31 & 144539.5 & 2083.57729238282 & 3998 \tabularnewline
32 & 149873.75 & 1881.55403412534 & 4260 \tabularnewline
33 & 157534.5 & 2432.84216504072 & 5142 \tabularnewline
34 & 156940.25 & 2855.56513671112 & 6033 \tabularnewline
35 & 144652.75 & 4603.20492519433 & 9802 \tabularnewline
36 & 136021.25 & 5212.50946441987 & 11694 \tabularnewline
37 & 121105.75 & 1646.62632372983 & 3882 \tabularnewline
38 & 123815.5 & 1337.09348962591 & 2844 \tabularnewline
39 & 116962.5 & 2609.88588511707 & 6099 \tabularnewline
40 & 118508.25 & 1515.37330384298 & 3279 \tabularnewline
41 & 123244 & 2404.52517835296 & 5584 \tabularnewline
42 & 115166.25 & 685.840785702727 & 1638 \tabularnewline
43 & 114200 & 579.485403900161 & 1414 \tabularnewline
44 & 114248.5 & 3136.54507380334 & 6777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121458&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]133397[/C][C]3818.07997122463[/C][C]8722[/C][/ROW]
[ROW][C]2[/C][C]142381.25[/C][C]1872.54147706622[/C][C]4436[/C][/ROW]
[ROW][C]3[/C][C]141117.25[/C][C]7435.74212279223[/C][C]16148[/C][/ROW]
[ROW][C]4[/C][C]134731.5[/C][C]1748.61859763643[/C][C]4101[/C][/ROW]
[ROW][C]5[/C][C]122821[/C][C]6973.71460079442[/C][C]15079[/C][/ROW]
[ROW][C]6[/C][C]131947.25[/C][C]3129.37814642675[/C][C]6669[/C][/ROW]
[ROW][C]7[/C][C]133817.5[/C][C]7202.43058511037[/C][C]17336[/C][/ROW]
[ROW][C]8[/C][C]146701.75[/C][C]2363.84155912926[/C][C]5144[/C][/ROW]
[ROW][C]9[/C][C]153331.75[/C][C]5185.20975949865[/C][C]10755[/C][/ROW]
[ROW][C]10[/C][C]156421.75[/C][C]1487.82534257217[/C][C]3225[/C][/ROW]
[ROW][C]11[/C][C]163894.25[/C][C]5112.14895290294[/C][C]11999[/C][/ROW]
[ROW][C]12[/C][C]173928[/C][C]1177.09954266125[/C][C]2857[/C][/ROW]
[ROW][C]13[/C][C]172387.75[/C][C]1660.81332986783[/C][C]3512[/C][/ROW]
[ROW][C]14[/C][C]174626.25[/C][C]1137.11077589946[/C][C]2328[/C][/ROW]
[ROW][C]15[/C][C]175078[/C][C]1162.94597180322[/C][C]2736[/C][/ROW]
[ROW][C]16[/C][C]179040[/C][C]3071.74163410054[/C][C]6147[/C][/ROW]
[ROW][C]17[/C][C]185244.5[/C][C]4423.38667388085[/C][C]9415[/C][/ROW]
[ROW][C]18[/C][C]193923.5[/C][C]3737.58937462816[/C][C]8960[/C][/ROW]
[ROW][C]19[/C][C]191092.75[/C][C]3449.3018013312[/C][C]8411[/C][/ROW]
[ROW][C]20[/C][C]182159.75[/C][C]4413.37122654931[/C][C]9794[/C][/ROW]
[ROW][C]21[/C][C]171841[/C][C]2645.63602938877[/C][C]5666[/C][/ROW]
[ROW][C]22[/C][C]116678.75[/C][C]30740.9304822848[/C][C]69714[/C][/ROW]
[ROW][C]23[/C][C]134987.5[/C][C]37179.4793625014[/C][C]79201[/C][/ROW]
[ROW][C]24[/C][C]153840.25[/C][C]1465.22521022083[/C][C]3226[/C][/ROW]
[ROW][C]25[/C][C]146136.5[/C][C]1949.66364620499[/C][C]4629[/C][/ROW]
[ROW][C]26[/C][C]144084.5[/C][C]6757.45250322437[/C][C]15517[/C][/ROW]
[ROW][C]27[/C][C]127261.5[/C][C]3006.81054718562[/C][C]6241[/C][/ROW]
[ROW][C]28[/C][C]116282.5[/C][C]14674.4532095748[/C][C]31716[/C][/ROW]
[ROW][C]29[/C][C]119433.5[/C][C]9510.43614492346[/C][C]21496[/C][/ROW]
[ROW][C]30[/C][C]146147.5[/C][C]1647.50083459766[/C][C]3540[/C][/ROW]
[ROW][C]31[/C][C]144539.5[/C][C]2083.57729238282[/C][C]3998[/C][/ROW]
[ROW][C]32[/C][C]149873.75[/C][C]1881.55403412534[/C][C]4260[/C][/ROW]
[ROW][C]33[/C][C]157534.5[/C][C]2432.84216504072[/C][C]5142[/C][/ROW]
[ROW][C]34[/C][C]156940.25[/C][C]2855.56513671112[/C][C]6033[/C][/ROW]
[ROW][C]35[/C][C]144652.75[/C][C]4603.20492519433[/C][C]9802[/C][/ROW]
[ROW][C]36[/C][C]136021.25[/C][C]5212.50946441987[/C][C]11694[/C][/ROW]
[ROW][C]37[/C][C]121105.75[/C][C]1646.62632372983[/C][C]3882[/C][/ROW]
[ROW][C]38[/C][C]123815.5[/C][C]1337.09348962591[/C][C]2844[/C][/ROW]
[ROW][C]39[/C][C]116962.5[/C][C]2609.88588511707[/C][C]6099[/C][/ROW]
[ROW][C]40[/C][C]118508.25[/C][C]1515.37330384298[/C][C]3279[/C][/ROW]
[ROW][C]41[/C][C]123244[/C][C]2404.52517835296[/C][C]5584[/C][/ROW]
[ROW][C]42[/C][C]115166.25[/C][C]685.840785702727[/C][C]1638[/C][/ROW]
[ROW][C]43[/C][C]114200[/C][C]579.485403900161[/C][C]1414[/C][/ROW]
[ROW][C]44[/C][C]114248.5[/C][C]3136.54507380334[/C][C]6777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121458&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121458&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
SectionMeanStandard DeviationRange
11333973818.079971224638722
2142381.251872.541477066224436
3141117.257435.7421227922316148
4134731.51748.618597636434101
51228216973.7146007944215079
6131947.253129.378146426756669
7133817.57202.4305851103717336
8146701.752363.841559129265144
9153331.755185.2097594986510755
10156421.751487.825342572173225
11163894.255112.1489529029411999
121739281177.099542661252857
13172387.751660.813329867833512
14174626.251137.110775899462328
151750781162.945971803222736
161790403071.741634100546147
17185244.54423.386673880859415
18193923.53737.589374628168960
19191092.753449.30180133128411
20182159.754413.371226549319794
211718412645.636029388775666
22116678.7530740.930482284869714
23134987.537179.479362501479201
24153840.251465.225210220833226
25146136.51949.663646204994629
26144084.56757.4525032243715517
27127261.53006.810547185626241
28116282.514674.453209574831716
29119433.59510.4361449234621496
30146147.51647.500834597663540
31144539.52083.577292382823998
32149873.751881.554034125344260
33157534.52432.842165040725142
34156940.252855.565136711126033
35144652.754603.204925194339802
36136021.255212.5094644198711694
37121105.751646.626323729833882
38123815.51337.093489625912844
39116962.52609.885885117076099
40118508.251515.373303842983279
411232442404.525178352965584
42115166.25685.8407857027271638
43114200579.4854039001611414
44114248.53136.545073803346777







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha14839.1888043318
beta-0.0687019968936686
S.D.0.0450844947204806
T-STAT-1.52384976962954
p-value0.135041284577757

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 14839.1888043318 \tabularnewline
beta & -0.0687019968936686 \tabularnewline
S.D. & 0.0450844947204806 \tabularnewline
T-STAT & -1.52384976962954 \tabularnewline
p-value & 0.135041284577757 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121458&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]14839.1888043318[/C][/ROW]
[ROW][C]beta[/C][C]-0.0687019968936686[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0450844947204806[/C][/ROW]
[ROW][C]T-STAT[/C][C]-1.52384976962954[/C][/ROW]
[ROW][C]p-value[/C][C]0.135041284577757[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121458&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121458&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)
alpha14839.1888043318
beta-0.0687019968936686
S.D.0.0450844947204806
T-STAT-1.52384976962954
p-value0.135041284577757







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha16.3780638876129
beta-0.703718849671557
S.D.0.837402004645809
T-STAT-0.840359642999906
p-value0.405465479359854
Lambda1.70371884967156

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 16.3780638876129 \tabularnewline
beta & -0.703718849671557 \tabularnewline
S.D. & 0.837402004645809 \tabularnewline
T-STAT & -0.840359642999906 \tabularnewline
p-value & 0.405465479359854 \tabularnewline
Lambda & 1.70371884967156 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=121458&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]16.3780638876129[/C][/ROW]
[ROW][C]beta[/C][C]-0.703718849671557[/C][/ROW]
[ROW][C]S.D.[/C][C]0.837402004645809[/C][/ROW]
[ROW][C]T-STAT[/C][C]-0.840359642999906[/C][/ROW]
[ROW][C]p-value[/C][C]0.405465479359854[/C][/ROW]
[ROW][C]Lambda[/C][C]1.70371884967156[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=121458&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=121458&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)
alpha16.3780638876129
beta-0.703718849671557
S.D.0.837402004645809
T-STAT-0.840359642999906
p-value0.405465479359854
Lambda1.70371884967156



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')