tutorial

*The author of this computation has been verified*

R Software Module: /rwasp_smp.wasp (opens new window with default values)

Title produced by software: Standard Deviation-Mean Plot

Date of computation: Mon, 13 Dec 2010 19:55:01 +0000

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/13/t12922701779v4qyma5r7i2qiw.htm/, Retrieved Mon, 13 Dec 2010 20:56:17 +0100

BibTeX entries for LaTeX users:

@Manual{KEY, author = {{YOUR NAME}}, publisher = {Office for Research Development and Education}, title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Dec/13/t12922701779v4qyma5r7i2qiw.htm/}, year = {2010}, } @Manual{R, title = {R: A Language and Environment for Statistical Computing}, author = {{R Development Core Team}}, organization = {R Foundation for Statistical Computing}, address = {Vienna, Austria}, year = {2010}, note = {{ISBN} 3-900051-07-0}, url = {http://www.R-project.org}, }

Original text written by user:

workshop 6

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

1,2998 1,3146 1,3225 1,3321 1,3339 1,3496 1,3647 1,3674 1,3647 1,3481 1,3612 1,3626 1,3711 1,37 1,377 1,3945 1,3917 1,4084 1,4244 1,4014 1,4018 1,3926 1,3857 1,3857 1,3803 1,3912 1,4031 1,3934 1,4016 1,3861 1,3859 1,3896 1,4089 1,4101 1,3958 1,3833 1,3936 1,3874 1,397 1,3856 1,378 1,3705 1,3726 1,3648 1,3611 1,346 1,3477 1,3412 1,3323 1,3364 1,312 1,3074 1,306 1,3078 1,2989 1,285 1,2801 1,2725 1,2715 1,2697 1,2744 1,2874 1,2834 1,2818 1,28 1,268 1,27 1,2713 1,2693 1,2613 1,2611 1,2704 1,2711 1,2836 1,288 1,286 1,282 1,2799 1,279 1,3016 1,3133 1,3253 1,3176 1,3184 1,3206 1,3221 1,3073 1,3028 1,3069 1,2992 1,3033 1,2931 1,2897 1,285 1,2817 1,2844 1,2957 1,3 1,2828 1,2703 1,2569 1,2572 1,2637 1,266 1,2567 1,2579 1,2531 1,2548 1,2328 1,2271 1,2198 1,2339 1,2294 1,2262 1,2271 1,2258 1,2391 1,2372 1,2363 1,2277 1,2258 1,2249 1,2127 1,2045 1,201 1,1942 1,1959 1,206 1,2268 1,2218 1,2155 1 etc...

Output produced by software:

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 'RServer@AstonUniversity' @ vre.aston.ac.uk Standard Deviation-Mean Plot Section Mean Standard Deviation Range 1 1.32058 0.013976659114395 0.0341 2 1.3589 0.00925553888220453 0.0192999999999999 3 1.36838 0.00650553610396561 0.0158 4 1.40408 0.013074670167924 0.0327000000000002 5 1.38922 0.00827689555328564 0.0214999999999999 6 1.39508 0.00716498429865687 0.0169999999999999 7 1.39806 0.0110341741874959 0.0242 8 1.38938 0.00572380991997465 0.0137 9 1.3694 0.00662306575537339 0.0168999999999999 10 1.34072 0.00644957362931842 0.0153999999999999 11 1.30642 0.00476256233555009 0.0131000000000001 12 1.27576 0.00651367791650765 0.0152999999999999 13 1.2814 0.00477283982551274 0.0130000000000001 14 1.26798 0.00392007652986519 0.01 15 1.27484 0.0108675204163599 0.0268999999999999 16 1.2857 0.00928870281578654 0.0226000000000002 17 1.31904 0.00438896343115318 0.012 18 1.30766 0.00872370334204464 0.0229000000000001 19 1.29056 0.00835032933482262 0.0215999999999998 20 1.28664 0.0116975638489388 0.0297000000000001 21 1.2601 0.0044153142583513 0.00930000000000009 22 1.24514 0.0141174714449862 0.0307999999999999 23 1.22728 0.0051348807191599 0.0141 24 1.23322 0.00602967660824362 0.0133000000000001 25 1.21378 0.0113880200210572 0.0247999999999999 26 1.20894 0.0148350261206376 0.0326 27 1.2282 0.00845813218151617 0.0228999999999999 28 1.23368 0.0104430359570386 0.0274000000000001 29 1.25084 0.0132156346801808 0.0336999999999998 30 1.28128 0.0124264636964826 0.0270999999999999 31 1.32286 0.00837573877338589 0.0226 32 1.33268 0.003130814590486 0.00829999999999997 33 1.35224 0.00683688525572866 0.0183 34 1.34376 0.0137219896516504 0.0289000000000001 35 1.34592 0.00357868691002726 0.00860000000000016 36 1.34074 0.00820323107074283 0.0181 37 1.36784 0.00807174082834675 0.0207999999999999 38 1.36502 0.00769200884034859 0.0208000000000002 39 1.35928 0.00606193038561151 0.0143 40 1.35618 0.0049846765190933 0.0137 41 1.36136 0.0079137854406093 0.0206999999999999 42 1.3693 0.00746458304260861 0.0187999999999999 43 1.38744 0.0113805975238561 0.0293000000000001 44 1.40546 0.00732482081692107 0.0185 45 1.41958 0.0124558018609803 0.0305 46 1.44864 0.00711709210281839 0.0188999999999999 47 1.43516 0.00671140819798647 0.0168999999999999 48 1.4396 0.00350642267845737 0.00950000000000006 49 1.43206 0.0041040224170928 0.0092000000000001 50 1.4647 0.00972033950024385 0.0216000000000001 51 1.49034 0.0175096544797435 0.0352000000000001 52 1.50352 0.00701334442331189 0.0171999999999999 53 1.49396 0.0104435626105271 0.0267999999999999 54 1.49174 0.00449811071451116 0.00970000000000004 55 1.49432 0.0076457177557114 0.0175000000000001 56 1.47558 0.00566674509749643 0.0142 57 1.49396 0.0105618653655498 0.0235000000000001 58 1.49086 0.00438554443598514 0.0107000000000002 59 1.48046 0.00625403869511532 0.0130999999999999 60 1.46216 0.00856346892328104 0.0185 61 1.4656 0.00780928934026644 0.0218999999999998 62 1.47276 0.00534162896502554 0.0125 63 1.45964 0.00491914626739241 0.0126000000000002 64 1.43844 0.0108587752532226 0.026 65 1.42876 0.0054155332147444 0.0144 66 1.4298 0.00391599284984026 0.00870000000000015 67 1.41744 0.0109700957151704 0.0222 68 1.4253 0.0101936254590798 0.0204 69 1.42576 0.0156068254299201 0.0357000000000001 70 1.42116 0.00626801403955031 0.0165 71 1.41702 0.00580060341688686 0.0132999999999999 72 1.39892 0.00669791012182163 0.0188000000000001 73 1.3975 0.00709365914038733 0.0152000000000001 74 1.40648 0.00747609523748865 0.0194000000000001 75 1.39434 0.006421682022648 0.0171000000000001 76 1.39106 0.0072827192723598 0.0164000000000002 77 1.40398 0.0124974797459327 0.0310999999999999 78 1.41238 0.0159374401959662 0.0382 79 1.39124 0.00911334186783313 0.0239 80 1.35754 0.0078337730373046 0.0196000000000001 81 1.35336 0.0134947397159041 0.032 82 1.32978 0.00685178808779141 0.018 83 1.30692 0.011278164744319 0.0285 84 1.3065 0.0118705517984633 0.0264000000000002 85 1.33062 0.0107604367941083 0.0265 86 1.33128 0.0097080894103835 0.0232000000000001 87 1.34922 0.0118973526467026 0.0312000000000001 88 1.32668 0.0323171316796525 0.0729 89 1.27642 0.0123136915667074 0.034 90 1.25958 0.00434936777014774 0.0103 91 1.27564 0.00643296199273713 0.0154000000000001 92 1.26582 0.00751112508216972 0.0173999999999999 93 1.29138 0.00822538752886448 0.0185 94 1.28104 0.00340631765987844 0.0088999999999999 95 1.30702 0.0172853116836232 0.0444 96 1.29602 0.0141849215718664 0.0387 97 1.32368 0.0115718192173919 0.0308999999999999 98 1.3562 0.013444143706462 0.0352000000000001 Regression: S.E.(k) = alpha + beta * Mean(k) alpha 0.0179852023988496 beta -0.00670951083357244 S.D. 0.00552191842349438 T-STAT -1.21506880743206 p-value 0.227319839596855 Regression: ln S.E.(k) = alpha + beta * ln Mean(k) alpha -4.55931422627582 beta -0.853716122878329 S.D. 0.780594703708458 T-STAT -1.09367398833541 p-value 0.276834677727817 Lambda 1.85371612287833

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Dec/13/t12922701779v4qyma5r7i2qiw/1qmbr1292270096.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/13/t12922701779v4qyma5r7i2qiw/1qmbr1292270096.ps (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/13/t12922701779v4qyma5r7i2qiw/2qmbr1292270096.png (open in new window) http://www.freestatistics.org/blog/date/2010/Dec/13/t12922701779v4qyma5r7i2qiw/2qmbr1292270096.ps (open in new window)

Parameters (Session):

par1 = 4 ;

Parameters (R input):

par1 = 4 ;

R code (references can be found in the software module):

par1 <- 5 (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')

Copyright

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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