Free Statistics

of Irreproducible Research!

Author's title

Author*Unverified author*
R Software Modulerwasp_smp.wasp
Title produced by softwareStandard Deviation-Mean Plot
Date of computationThu, 13 May 2010 12:42:12 +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/2010/May/13/t1273754598mv7tufh6x9nbzle.htm/, Retrieved Mon, 06 May 2024 02:37:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=75908, Retrieved Mon, 06 May 2024 02:37:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W83
Estimated Impact148
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Standard Deviation-Mean Plot] [Personenwagen Aus...] [2010-05-13 12:42:12] [05b8da000f2ebbd12b039a4b088dd3f2] [Current]
Feedback Forum

Post a new message
Dataseries X:
40801
49081
52431
59650
75428
78705
68870
70641
80074
76464
69976
92917
92559
73981
71107
96942
86270
69610
57768
80077
71454
70382
69881
84530
79322
80181
82137
88439
91575
82909
73282
94089
108112
95653
85273
105093
102275
99308
79687
93263
114918
103374
65124
104045
101183
95492
85035
90692
107486
98179
82551
106804
110898
89950
65184
95357
98280
92146
77874
100039
104777
102341
71316
88838
85457
70784
70522
88629
88452
98886
79601
108135
113835
101617
68698
79182
86003
84165
68550
90385
100368
99081
81288
103491
111695
82504
62237
78249
92341
84412
75102
90461
106451
98379
72615
98367
116949
95832
68060
83923
87653
78054
57566
78784
88916
84662
63442
77773
88102
87972
61790
95276
104418
95420
82141
104064
96287
78426
59111
76837
76615
65860
57703
68656
77955
65856
60947
69885
80550
73694
67538
76326
84727




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75908&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75908&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75908&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 time5 seconds
R Server'George Udny Yule' @ 72.249.76.132







Standard Deviation-Mean Plot
SectionMeanStandard DeviationRange
150490.757821.6596864092718849
2734114486.583926924069835
379857.759656.7298942240322941
483647.2512998.255328440625835
573431.2512502.517703113528502
674061.757009.6088514267314649
782519.754118.226752296839117
885463.759428.0449502181220807
998532.7510310.396706722822839
1093633.2510025.261505317522588
1196865.2521812.239459762049794
1293100.56877.4811522824316148
139875511603.421248350324935
1490347.2518980.497699393145714
1592084.7510059.827413198222165
169181815361.007063340633461
17788489551.5655610306518107
1893768.512403.875160610128534
199083320583.898934199445137
2082275.759515.2124998166321835
219605710018.599602738922203
2283671.2520619.738963349349458
23855797760.7556762641817239
249395314726.202497589133836
259119120598.385292703648889
2675514.2512736.175835652830087
2778698.2511159.121541740325474
288328514730.813102699633486
2996510.7510444.386670200722277
3077665.2515190.945820345337176
3167208.57804.9232539468318912
3268660.757193.7573110301717008
33745275448.331242989313012

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 50490.75 & 7821.65968640927 & 18849 \tabularnewline
2 & 73411 & 4486.58392692406 & 9835 \tabularnewline
3 & 79857.75 & 9656.72989422403 & 22941 \tabularnewline
4 & 83647.25 & 12998.2553284406 & 25835 \tabularnewline
5 & 73431.25 & 12502.5177031135 & 28502 \tabularnewline
6 & 74061.75 & 7009.60885142673 & 14649 \tabularnewline
7 & 82519.75 & 4118.22675229683 & 9117 \tabularnewline
8 & 85463.75 & 9428.04495021812 & 20807 \tabularnewline
9 & 98532.75 & 10310.3967067228 & 22839 \tabularnewline
10 & 93633.25 & 10025.2615053175 & 22588 \tabularnewline
11 & 96865.25 & 21812.2394597620 & 49794 \tabularnewline
12 & 93100.5 & 6877.48115228243 & 16148 \tabularnewline
13 & 98755 & 11603.4212483503 & 24935 \tabularnewline
14 & 90347.25 & 18980.4976993931 & 45714 \tabularnewline
15 & 92084.75 & 10059.8274131982 & 22165 \tabularnewline
16 & 91818 & 15361.0070633406 & 33461 \tabularnewline
17 & 78848 & 9551.56556103065 & 18107 \tabularnewline
18 & 93768.5 & 12403.8751606101 & 28534 \tabularnewline
19 & 90833 & 20583.8989341994 & 45137 \tabularnewline
20 & 82275.75 & 9515.21249981663 & 21835 \tabularnewline
21 & 96057 & 10018.5996027389 & 22203 \tabularnewline
22 & 83671.25 & 20619.7389633493 & 49458 \tabularnewline
23 & 85579 & 7760.75567626418 & 17239 \tabularnewline
24 & 93953 & 14726.2024975891 & 33836 \tabularnewline
25 & 91191 & 20598.3852927036 & 48889 \tabularnewline
26 & 75514.25 & 12736.1758356528 & 30087 \tabularnewline
27 & 78698.25 & 11159.1215417403 & 25474 \tabularnewline
28 & 83285 & 14730.8131026996 & 33486 \tabularnewline
29 & 96510.75 & 10444.3866702007 & 22277 \tabularnewline
30 & 77665.25 & 15190.9458203453 & 37176 \tabularnewline
31 & 67208.5 & 7804.92325394683 & 18912 \tabularnewline
32 & 68660.75 & 7193.75731103017 & 17008 \tabularnewline
33 & 74527 & 5448.3312429893 & 13012 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75908&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]50490.75[/C][C]7821.65968640927[/C][C]18849[/C][/ROW]
[ROW][C]2[/C][C]73411[/C][C]4486.58392692406[/C][C]9835[/C][/ROW]
[ROW][C]3[/C][C]79857.75[/C][C]9656.72989422403[/C][C]22941[/C][/ROW]
[ROW][C]4[/C][C]83647.25[/C][C]12998.2553284406[/C][C]25835[/C][/ROW]
[ROW][C]5[/C][C]73431.25[/C][C]12502.5177031135[/C][C]28502[/C][/ROW]
[ROW][C]6[/C][C]74061.75[/C][C]7009.60885142673[/C][C]14649[/C][/ROW]
[ROW][C]7[/C][C]82519.75[/C][C]4118.22675229683[/C][C]9117[/C][/ROW]
[ROW][C]8[/C][C]85463.75[/C][C]9428.04495021812[/C][C]20807[/C][/ROW]
[ROW][C]9[/C][C]98532.75[/C][C]10310.3967067228[/C][C]22839[/C][/ROW]
[ROW][C]10[/C][C]93633.25[/C][C]10025.2615053175[/C][C]22588[/C][/ROW]
[ROW][C]11[/C][C]96865.25[/C][C]21812.2394597620[/C][C]49794[/C][/ROW]
[ROW][C]12[/C][C]93100.5[/C][C]6877.48115228243[/C][C]16148[/C][/ROW]
[ROW][C]13[/C][C]98755[/C][C]11603.4212483503[/C][C]24935[/C][/ROW]
[ROW][C]14[/C][C]90347.25[/C][C]18980.4976993931[/C][C]45714[/C][/ROW]
[ROW][C]15[/C][C]92084.75[/C][C]10059.8274131982[/C][C]22165[/C][/ROW]
[ROW][C]16[/C][C]91818[/C][C]15361.0070633406[/C][C]33461[/C][/ROW]
[ROW][C]17[/C][C]78848[/C][C]9551.56556103065[/C][C]18107[/C][/ROW]
[ROW][C]18[/C][C]93768.5[/C][C]12403.8751606101[/C][C]28534[/C][/ROW]
[ROW][C]19[/C][C]90833[/C][C]20583.8989341994[/C][C]45137[/C][/ROW]
[ROW][C]20[/C][C]82275.75[/C][C]9515.21249981663[/C][C]21835[/C][/ROW]
[ROW][C]21[/C][C]96057[/C][C]10018.5996027389[/C][C]22203[/C][/ROW]
[ROW][C]22[/C][C]83671.25[/C][C]20619.7389633493[/C][C]49458[/C][/ROW]
[ROW][C]23[/C][C]85579[/C][C]7760.75567626418[/C][C]17239[/C][/ROW]
[ROW][C]24[/C][C]93953[/C][C]14726.2024975891[/C][C]33836[/C][/ROW]
[ROW][C]25[/C][C]91191[/C][C]20598.3852927036[/C][C]48889[/C][/ROW]
[ROW][C]26[/C][C]75514.25[/C][C]12736.1758356528[/C][C]30087[/C][/ROW]
[ROW][C]27[/C][C]78698.25[/C][C]11159.1215417403[/C][C]25474[/C][/ROW]
[ROW][C]28[/C][C]83285[/C][C]14730.8131026996[/C][C]33486[/C][/ROW]
[ROW][C]29[/C][C]96510.75[/C][C]10444.3866702007[/C][C]22277[/C][/ROW]
[ROW][C]30[/C][C]77665.25[/C][C]15190.9458203453[/C][C]37176[/C][/ROW]
[ROW][C]31[/C][C]67208.5[/C][C]7804.92325394683[/C][C]18912[/C][/ROW]
[ROW][C]32[/C][C]68660.75[/C][C]7193.75731103017[/C][C]17008[/C][/ROW]
[ROW][C]33[/C][C]74527[/C][C]5448.3312429893[/C][C]13012[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75908&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75908&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
150490.757821.6596864092718849
2734114486.583926924069835
379857.759656.7298942240322941
483647.2512998.255328440625835
573431.2512502.517703113528502
674061.757009.6088514267314649
782519.754118.226752296839117
885463.759428.0449502181220807
998532.7510310.396706722822839
1093633.2510025.261505317522588
1196865.2521812.239459762049794
1293100.56877.4811522824316148
139875511603.421248350324935
1490347.2518980.497699393145714
1592084.7510059.827413198222165
169181815361.007063340633461
17788489551.5655610306518107
1893768.512403.875160610128534
199083320583.898934199445137
2082275.759515.2124998166321835
219605710018.599602738922203
2283671.2520619.738963349349458
23855797760.7556762641817239
249395314726.202497589133836
259119120598.385292703648889
2675514.2512736.175835652830087
2778698.2511159.121541740325474
288328514730.813102699633486
2996510.7510444.386670200722277
3077665.2515190.945820345337176
3167208.57804.9232539468318912
3268660.757193.7573110301717008
33745275448.331242989313012







Regression: S.E.(k) = alpha + beta * Mean(k)
alpha-3200.99188925798
beta0.176197502906589
S.D.0.072407245608339
T-STAT2.43342363635355
p-value0.0209176776730915

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & -3200.99188925798 \tabularnewline
beta & 0.176197502906589 \tabularnewline
S.D. & 0.072407245608339 \tabularnewline
T-STAT & 2.43342363635355 \tabularnewline
p-value & 0.0209176776730915 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75908&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-3200.99188925798[/C][/ROW]
[ROW][C]beta[/C][C]0.176197502906589[/C][/ROW]
[ROW][C]S.D.[/C][C]0.072407245608339[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.43342363635355[/C][/ROW]
[ROW][C]p-value[/C][C]0.0209176776730915[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75908&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75908&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-3200.99188925798
beta0.176197502906589
S.D.0.072407245608339
T-STAT2.43342363635355
p-value0.0209176776730915







Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha-4.61115742707516
beta1.22568368770257
S.D.0.492561119508681
T-STAT2.48838903266495
p-value0.0184128261860877
Lambda-0.225683687702575

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & -4.61115742707516 \tabularnewline
beta & 1.22568368770257 \tabularnewline
S.D. & 0.492561119508681 \tabularnewline
T-STAT & 2.48838903266495 \tabularnewline
p-value & 0.0184128261860877 \tabularnewline
Lambda & -0.225683687702575 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=75908&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]-4.61115742707516[/C][/ROW]
[ROW][C]beta[/C][C]1.22568368770257[/C][/ROW]
[ROW][C]S.D.[/C][C]0.492561119508681[/C][/ROW]
[ROW][C]T-STAT[/C][C]2.48838903266495[/C][/ROW]
[ROW][C]p-value[/C][C]0.0184128261860877[/C][/ROW]
[ROW][C]Lambda[/C][C]-0.225683687702575[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=75908&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=75908&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-4.61115742707516
beta1.22568368770257
S.D.0.492561119508681
T-STAT2.48838903266495
p-value0.0184128261860877
Lambda-0.225683687702575



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')