Home » date » 2010 » Aug » 16 »

Aantal bezoekers

*Unverified author*

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

Title produced by software: Standard Deviation-Mean Plot

Date of computation: Mon, 16 Aug 2010 11:13:57 +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/Aug/16/t1281957207f7hqz58eygb87yd.htm/, Retrieved Mon, 16 Aug 2010 13:13:27 +0200

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/Aug/16/t1281957207f7hqz58eygb87yd.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:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

556 555 554 552 572 571 556 546 547 547 548 550 555 549 555 550 566 573 543 535 542 541 535 536 548 546 548 548 561 563 527 527 541 534 522 527 539 533 532 519 538 542 503 502 522 511 492 500 509 511 505 493 518 518 474 471 483 461 439 446 461 449 441 424 447 448 404 403 411 386 359 370 385 369 368 352 378 383 334 323 330 303 275 284 301 281 284 272 297 300 240 236 247 218 192 201 223 197 195 175 197 204 142 142 151 127 100 114 139 112 123 108 132 140 76 71 81 57 38 46

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	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	554.25	1.70782512765993	4
2	561.25	12.5266382827424	26
3	548	1.41421356237310	3
4	552.25	3.20156211871642	6
5	554.25	18.1360598440418	38
6	538.5	3.51188458428425	7
7	547.5	1	2
8	544.5	20.2237484161567	36
9	531	8.28653526310404	19
10	530.75	8.42120339777319	20
11	521.25	21.7159695462425	40
12	506.25	13.0735101126923	30
13	504.5	8.06225774829855	18
14	495.25	26.2979720384165	47
15	457.25	19.4657819433658	44
16	443.75	15.5214904782584	37
17	425.5	25.4099717958652	45
18	381.5	22.5757982509294	52
19	368.5	13.4783777461038	33
20	354.5	30.4247706099268	60
21	298	24.3173463464526	55
22	284.5	12.1243556529821	29
23	268.25	34.9892840738418	64
24	214.5	24.2005509579155	55
25	197.5	19.6892525674965	48
26	171.25	33.8956732735414	62
27	123	21.6794833886788	51
28	120.5	13.8684293751431	31
29	104.75	36.2893464623802	69
30	55.5	18.6993761036743	43

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	31.1504599322046
beta	-0.0357455513275429
S.D.	0.00928544538990654
T-STAT	-3.84963238989042
p-value	0.0006279520876671

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	6.68560755644032
beta	-0.710767435643548
S.D.	0.26378315358349
T-STAT	-2.6945141340066
p-value	0.0117808602285926
Lambda	1.71076743564355

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281957207f7hqz58eygb87yd/141bx1281957233.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281957207f7hqz58eygb87yd/141bx1281957233.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281957207f7hqz58eygb87yd/2was01281957233.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Aug/16/t1281957207f7hqz58eygb87yd/2was01281957233.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 <- 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')

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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