Home » date » 2009 » Nov » 20 »

Model2

*The author of this computation has been verified*
R Software Module: /rwasp_multipleregression.wasp (opens new window with default values)
Title produced by software: Multiple Regression
Date of computation: Fri, 20 Nov 2009 15:52:44 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7.htm/, Retrieved Fri, 20 Nov 2009 23:55:15 +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/2009/Nov/20/t1258757703xs8mix3ikv1zve7.htm/},
    year = {2009},
}
@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 = {2009},
    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 «
562 13.9 561 15.9 555 18.2 544 19.7 537 20.1 543 19.9 594 20 611 22.6 613 20.6 611 20.1 594 20.2 595 21.8 591 22 589 19.5 584 17.5 573 18.2 567 18.8 569 19.7 621 18.8 629 18.5 628 18.7 612 18.5 595 19.3 597 18.9 593 21.4 590 22.5 580 25 574 22.9 573 22.9 573 21.3 620 22.3 626 20.9 620 19.9 588 20.2 566 19.8 557 17.7 561 18.1 549 17.6 532 18.2 526 16 511 16.3 499 17.3 555 19 565 18.6 542 18 527 17.9 510 17.8 514 18.5 517 17.4 508 19 493 17.4 490 20.6 469 18.5 478 20 528 18.8 534 18.8 518 19.7 506 15.3 502 10.6 516 6.1 528 0.9
 
Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Multiple Linear Regression - Estimated Regression Equation
Y[t] = + 471.932069124408 + 5.05228499250553X[t] + 7.83474690929715M1[t] -8.0202554827627M2[t] -20.4390780800647M3[t] -28.9505807784159M4[t] -38.1422151796150M5[t] -38.7589463772168M6[t] + 11.7337337238324M7[t] + 20.6285052245819M8[t] + 14.3546477208346M9[t] + 3.90588701349005M10[t] -7.14914789295519M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)471.93206912440828.71932616.432600
X5.052284992505531.4154073.56950.0008240.000412
M17.8347469092971522.4048580.34970.7281010.364051
M2-8.020255482762723.5817-0.34010.7352610.367631
M3-20.439078080064723.657426-0.8640.3919070.195953
M4-28.950580778415923.708976-1.22110.2280190.11401
M5-38.142215179615023.67109-1.61130.1136620.056831
M6-38.758946377216823.748961-1.6320.1092180.054609
M711.733733723832423.7856610.49330.6240420.312021
M820.628505224581923.8128510.86630.3906480.195324
M914.354647720834623.6850510.60610.5473280.273664
M103.9058870134900523.494460.16620.8686610.43433
M11-7.1491478929551923.393779-0.30560.761230.380615


Multiple Linear Regression - Regression Statistics
Multiple R0.61326202686736
R-squared0.376090313597463
Adjusted R-squared0.220112891996828
F-TEST (value)2.41118432230792
F-TEST (DF numerator)12
F-TEST (DF denominator)48
p-value0.0155093066966934
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation36.9289428676062
Sum Squared Residuals65459.8474233084


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1562549.99357742953212.006422570468
2561544.24314502248316.7568549775166
3555543.44457790794411.5554220920558
4544542.5115026983511.48849730164874
5537535.3407822941541.65921770584570
6543533.7135940980519.28640590194859
7594584.7115026983519.28849730164879
8611606.7422151796154.25778482038498
9613590.36378769085722.6362123091432
10611577.38888448725933.6111155127406
11594566.83907808006527.1609219199353
12595582.07188196102912.9281180389712
13591590.9170858688270.08291413117299
14589562.43137099550326.5686290044967
15584539.9079784131944.0920215868097
16573534.93307520959338.0669247904071
17567528.77281180389738.2271881961029
18569532.7031370995536.2968629004497
19621578.64876070734542.3512392926554
20629586.02784671034242.9721532896576
21628580.76444620509647.2355537949038
22612569.3052284992542.6947715007494
23595562.2920215868132.7079784131903
24597567.42025548276329.5797445172373
25593587.8857148733245.11428512667632
26590577.5882259730212.4117740269801
27580577.8001158569822.19988414301825
28574558.67881467436915.3211853256311
29573549.4871802731723.5128197268302
30573540.78679308755932.2132069124408
31620596.33175818111423.6682418188861
32626598.15333069235627.8466693076443
33620586.82718819610333.1728118038971
34588577.8941129865110.1058870134900
35566564.8181640830621.18183591693749
36557561.357513491756-4.35751349175607
37561571.213174398055-10.2131743980554
38549552.832029509743-3.83202950974282
39532543.444577907944-11.4445779079441
40526523.8180482260812.18195177391925
41511516.142099322633-5.14209932263331
42499520.577653117537-21.5776531175371
43555579.659217705846-24.6592177058457
44565586.533075209593-21.5330752095929
45542577.227846710342-35.2278467103424
46527566.273857503747-39.2738575037472
47510554.713594098051-44.7135940980514
48514565.39934148576-51.3993414857605
49517567.676574903302-50.6765749033016
50508559.90522849925-51.9052284992505
51493539.40274991394-46.4027499139397
52490547.058559191606-57.0585591916062
53469527.257126306145-58.2571263061455
54478534.218822597302-56.218822597302
55528578.648760707345-50.6487607073446
56534587.543532208094-53.543532208094
57518585.816731197602-67.8167311976017
58506553.137916523233-47.1379165232329
59502518.337142152012-16.3371421520116
60516502.75100757869213.2489924213081
61528484.3138725269643.6861274730397


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.1264859148075310.2529718296150620.873514085192469
170.09807724381021420.1961544876204280.901922756189786
180.06329810307690380.1265962061538080.936701896923096
190.04768899980181850.0953779996036370.952311000198181
200.03282984857906370.06565969715812750.967170151420936
210.02154907829787370.04309815659574740.978450921702126
220.01254459397405940.02508918794811880.98745540602594
230.006533580990059560.01306716198011910.99346641900994
240.003212470409035320.006424940818070640.996787529590965
250.001527222152062090.003054444304124190.998472777847938
260.0007452623950863580.001490524790172720.999254737604914
270.0003208698928384870.0006417397856769730.999679130107161
280.0001689310029776790.0003378620059553590.999831068997022
290.0001423248207343320.0002846496414686650.999857675179266
300.0001762065899774570.0003524131799549150.999823793410022
310.0001866880212769920.0003733760425539850.999813311978723
320.0002592076999642950.0005184153999285910.999740792300036
330.001162934036472700.002325868072945400.998837065963527
340.006119082820379220.01223816564075840.99388091717962
350.02504120813841260.05008241627682520.974958791861587
360.06110729354175230.1222145870835050.938892706458248
370.109665726489020.219331452978040.89033427351098
380.1759090465473500.3518180930947010.82409095345265
390.3127884331969910.6255768663939820.687211566803009
400.3760675174264480.7521350348528950.623932482573552
410.5905882561680920.8188234876638170.409411743831908
420.6546092457614720.6907815084770560.345390754238528
430.7436135039183490.5127729921633020.256386496081651
440.8499643762218820.3000712475562360.150035623778118
450.9003556859674510.1992886280650970.0996443140325487


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level100.333333333333333NOK
5% type I error level140.466666666666667NOK
10% type I error level170.566666666666667NOK
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/10n29a1258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/10n29a1258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/1oodq1258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/1oodq1258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/27mqb1258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/27mqb1258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/3rj741258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/3rj741258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/4lk7m1258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/4lk7m1258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/5lbk51258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/5lbk51258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/63nch1258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/63nch1258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/7hxu91258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/7hxu91258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/883gr1258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/883gr1258757559.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/9j8oy1258757559.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Nov/20/t1258757703xs8mix3ikv1zve7/9j8oy1258757559.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ;
 
Parameters (R input):
par1 = 1 ; par2 = Include Monthly Dummies ; par3 = No Linear Trend ;
 
R code (references can be found in the software module):
library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)
a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}
 





Copyright

Creative Commons License

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

Software written by Ed van Stee & Patrick Wessa


Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.


Privacy Policy

We may request personal information to be submitted to our servers in order to be able to:

  • personalize online software applications according to your needs
  • enforce strict security rules with respect to the data that you upload (e.g. statistical data)
  • manage user sessions of online applications
  • alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.


FreeStatistics.org is powered by