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Author*The author of this computation has been verified*
R Software Modulerwasp_twosampletests_mean.wasp
Title produced by softwarePaired and Unpaired Two Samples Tests about the Mean
Date of computationSat, 29 Nov 2014 16:32:17 +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/2014/Nov/29/t1417278782q0hby9u7fneqbmo.htm/, Retrieved Sun, 19 May 2024 15:38:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=261213, Retrieved Sun, 19 May 2024 15:38:37 +0000
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Estimated Impact105
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-       [Paired and Unpaired Two Samples Tests about the Mean] [Paper score M-V] [2014-11-29 16:32:17] [7919944b2c0818d4401807e8f8057775] [Current]
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Dataseries X:
12.9	12.2
7.4	7.4
12.8	6.7
14.8	12.6
12.0	13.3
6.3	11.1
11.3	8.2
9.3	11.4
10.0	6.4
10.8	10.6
13.4	11.9
11.5	9.6
8.3	6.4
11.7	13.8
10.4	13.8
11.8	11.7
11.3	10.9
12.7	16.1
5.7	9.9
8.0	6.1
12.5	9.0
7.6	9.7
9.2	10.8
11.1	10.3
12.2	12.7
12.3	9.3
11.4	5.9
8.8	11.4
12.6	13.0
13.0	10.8
13.2	12.3
9.9	11.8
10.5	7.9
13.4	12.3
10.9	11.6
10.3	6.7
11.4	10.9
8.6	12.1
13.2	13.3
8.8	10.1
9.0	14.3
10.3	13.3
8.5	9.3
13.5	15.9
4.9	9.1
6.4	13.0
9.6	14.5
11.6	14.6
16.6	7.3
19.1	NA
13.35	12.6
18.4	7.7
16.15	4.3
18.4	11.8
15.6	11.2
16.35	12.6
17.65	5.6
11.7	9.9
14.35	7.7
14.75	7.3
9.9	11.4
16.85	13.6
15.6	7.9
14.85	10.7
11.75	8.3
18.45	9.6
17.1	14.2
19.9	11.1
18.45	4.35
15	12.7
11.35	18.1
18.1	17.85
19.1	12.6
7.6	17.1
13.4	16.1
13.9	14.7
15.25	10.6
16.1	12.6
17.35	16.2
13.15	13.6
12.15	18.9
18.2	14.1
13.6	14.5
14.75	14.75
14.1	14.8
14.9	12.45
16.25	12.65
13.6	17.35
15.65	8.6
14.6	16.1
19.2	11.6
11.9	17.75
13.2	15.25
16.35	17.65
14.35	13.6
15.65	18.25
17.75	16
7.65	18.25
19.3	14.6
15.2	13.85
17.1	18.95
19.05	15.9
18.55	16.1
19.1	10.95
11.85	15.1
13.35	15.95
11.4	14.6
19.9	15.4
17.6	15.4
16.1	17.6
11.95	13.35
15.15	15.35
16.85	19.1
7.7	12.9
12.6	12.6
12.35	10.35
16.65	15.4
13.95	9.6
15.7	14.85
15.35	19.25
15.1	13.6
17.75	12.75
14.6	9.85
16.65	12.65
	11.9
	16.6
	11.2
	15.25
	12.4
	15.85
	18.15
	11.15
	12.35
	15.6
	15.6
	18.4
	13.1
	12.85
	9.5
	4.5
	13.6
	11.7
	12.4
	14.9
	17.75
	11.2
	14.6
	14.05
	13.35
	11.85
	14.75
	13.2
	7.85
	7.85
	10.95
	9.95
	14.9
	13.4
	16.85
	10.95
	12.2
	15.2
	8.1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261213&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261213&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261213&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







Two Sample t-test (unpaired)
Mean of Sample 113.0849693251534
Mean of Sample 212.2388888888889
t-stat2.25265009830266
df323
p-value0.0249521106883828
H0 value0
Alternativetwo.sided
CI Level0.95
CI[0.107162230466319,1.58499864206265]
F-test to compare two variances
F-stat1.05750893691669
df162
p-value0.722925935704177
H0 value1
Alternativetwo.sided
CI Level0.95
CI[0.775919074970851,1.441074472321]

\begin{tabular}{lllllllll}
\hline
Two Sample t-test (unpaired) \tabularnewline
Mean of Sample 1 & 13.0849693251534 \tabularnewline
Mean of Sample 2 & 12.2388888888889 \tabularnewline
t-stat & 2.25265009830266 \tabularnewline
df & 323 \tabularnewline
p-value & 0.0249521106883828 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [0.107162230466319,1.58499864206265] \tabularnewline
F-test to compare two variances \tabularnewline
F-stat & 1.05750893691669 \tabularnewline
df & 162 \tabularnewline
p-value & 0.722925935704177 \tabularnewline
H0 value & 1 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [0.775919074970851,1.441074472321] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261213&T=1

[TABLE]
[ROW][C]Two Sample t-test (unpaired)[/C][/ROW]
[ROW][C]Mean of Sample 1[/C][C]13.0849693251534[/C][/ROW]
[ROW][C]Mean of Sample 2[/C][C]12.2388888888889[/C][/ROW]
[ROW][C]t-stat[/C][C]2.25265009830266[/C][/ROW]
[ROW][C]df[/C][C]323[/C][/ROW]
[ROW][C]p-value[/C][C]0.0249521106883828[/C][/ROW]
[ROW][C]H0 value[/C][C]0[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]CI Level[/C][C]0.95[/C][/ROW]
[ROW][C]CI[/C][C][0.107162230466319,1.58499864206265][/C][/ROW]
[ROW][C]F-test to compare two variances[/C][/ROW]
[ROW][C]F-stat[/C][C]1.05750893691669[/C][/ROW]
[ROW][C]df[/C][C]162[/C][/ROW]
[ROW][C]p-value[/C][C]0.722925935704177[/C][/ROW]
[ROW][C]H0 value[/C][C]1[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]CI Level[/C][C]0.95[/C][/ROW]
[ROW][C]CI[/C][C][0.775919074970851,1.441074472321][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261213&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261213&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Two Sample t-test (unpaired)
Mean of Sample 113.0849693251534
Mean of Sample 212.2388888888889
t-stat2.25265009830266
df323
p-value0.0249521106883828
H0 value0
Alternativetwo.sided
CI Level0.95
CI[0.107162230466319,1.58499864206265]
F-test to compare two variances
F-stat1.05750893691669
df162
p-value0.722925935704177
H0 value1
Alternativetwo.sided
CI Level0.95
CI[0.775919074970851,1.441074472321]







Welch Two Sample t-test (unpaired)
Mean of Sample 113.0849693251534
Mean of Sample 212.2388888888889
t-stat2.25284443959803
df322.846850183832
p-value0.0249400319324533
H0 value0
Alternativetwo.sided
CI Level0.95
CI[0.107224654989232,1.58493621753974]

\begin{tabular}{lllllllll}
\hline
Welch Two Sample t-test (unpaired) \tabularnewline
Mean of Sample 1 & 13.0849693251534 \tabularnewline
Mean of Sample 2 & 12.2388888888889 \tabularnewline
t-stat & 2.25284443959803 \tabularnewline
df & 322.846850183832 \tabularnewline
p-value & 0.0249400319324533 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [0.107224654989232,1.58493621753974] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261213&T=2

[TABLE]
[ROW][C]Welch Two Sample t-test (unpaired)[/C][/ROW]
[ROW][C]Mean of Sample 1[/C][C]13.0849693251534[/C][/ROW]
[ROW][C]Mean of Sample 2[/C][C]12.2388888888889[/C][/ROW]
[ROW][C]t-stat[/C][C]2.25284443959803[/C][/ROW]
[ROW][C]df[/C][C]322.846850183832[/C][/ROW]
[ROW][C]p-value[/C][C]0.0249400319324533[/C][/ROW]
[ROW][C]H0 value[/C][C]0[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]CI Level[/C][C]0.95[/C][/ROW]
[ROW][C]CI[/C][C][0.107224654989232,1.58493621753974][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261213&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261213&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Welch Two Sample t-test (unpaired)
Mean of Sample 113.0849693251534
Mean of Sample 212.2388888888889
t-stat2.25284443959803
df322.846850183832
p-value0.0249400319324533
H0 value0
Alternativetwo.sided
CI Level0.95
CI[0.107224654989232,1.58493621753974]







Wicoxon rank sum test with continuity correction (unpaired)
W14994
p-value0.0345038245823128
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.114178595773688
p-value0.240017413291734
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.0705521472392638
p-value0.813423129129794

\begin{tabular}{lllllllll}
\hline
Wicoxon rank sum test with continuity correction (unpaired) \tabularnewline
W & 14994 \tabularnewline
p-value & 0.0345038245823128 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
Kolmogorov-Smirnov Test to compare Distributions of two Samples \tabularnewline
KS Statistic & 0.114178595773688 \tabularnewline
p-value & 0.240017413291734 \tabularnewline
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples \tabularnewline
KS Statistic & 0.0705521472392638 \tabularnewline
p-value & 0.813423129129794 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=261213&T=3

[TABLE]
[ROW][C]Wicoxon rank sum test with continuity correction (unpaired)[/C][/ROW]
[ROW][C]W[/C][C]14994[/C][/ROW]
[ROW][C]p-value[/C][C]0.0345038245823128[/C][/ROW]
[ROW][C]H0 value[/C][C]0[/C][/ROW]
[ROW][C]Alternative[/C][C]two.sided[/C][/ROW]
[ROW][C]Kolmogorov-Smirnov Test to compare Distributions of two Samples[/C][/ROW]
[ROW][C]KS Statistic[/C][C]0.114178595773688[/C][/ROW]
[ROW][C]p-value[/C][C]0.240017413291734[/C][/ROW]
[ROW][C]Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples[/C][/ROW]
[ROW][C]KS Statistic[/C][C]0.0705521472392638[/C][/ROW]
[ROW][C]p-value[/C][C]0.813423129129794[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=261213&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=261213&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Wicoxon rank sum test with continuity correction (unpaired)
W14994
p-value0.0345038245823128
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.114178595773688
p-value0.240017413291734
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.0705521472392638
p-value0.813423129129794



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = unpaired ; par6 = 0.0 ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = unpaired ; par6 = 0.0 ;
R code (references can be found in the software module):
par6 <- '0.0'
par5 <- 'unpaired'
par4 <- 'two.sided'
par3 <- '0.95'
par2 <- '2'
par1 <- '1'
par1 <- as.numeric(par1) #column number of first sample
par2 <- as.numeric(par2) #column number of second sample
par3 <- as.numeric(par3) #confidence (= 1 - alpha)
if (par5 == 'unpaired') paired <- FALSE else paired <- TRUE
par6 <- as.numeric(par6) #H0
z <- t(y)
if (par1 == par2) stop('Please, select two different column numbers')
if (par1 < 1) stop('Please, select a column number greater than zero for the first sample')
if (par2 < 1) stop('Please, select a column number greater than zero for the second sample')
if (par1 > length(z[1,])) stop('The column number for the first sample should be smaller')
if (par2 > length(z[1,])) stop('The column number for the second sample should be smaller')
if (par3 <= 0) stop('The confidence level should be larger than zero')
if (par3 >= 1) stop('The confidence level should be smaller than zero')
(r.t <- t.test(z[,par1],z[,par2],var.equal=TRUE,alternative=par4,paired=paired,mu=par6,conf.level=par3))
(v.t <- var.test(z[,par1],z[,par2],conf.level=par3))
(r.w <- t.test(z[,par1],z[,par2],var.equal=FALSE,alternative=par4,paired=paired,mu=par6,conf.level=par3))
(w.t <- wilcox.test(z[,par1],z[,par2],alternative=par4,paired=paired,mu=par6,conf.level=par3))
(ks.t <- ks.test(z[,par1],z[,par2],alternative=par4))
m1 <- mean(z[,par1],na.rm=T)
m2 <- mean(z[,par2],na.rm=T)
mdiff <- m1 - m2
newsam1 <- z[!is.na(z[,par1]),par1]
newsam2 <- z[,par2]+mdiff
newsam2 <- newsam2[!is.na(newsam2)]
(ks1.t <- ks.test(newsam1,newsam2,alternative=par4))
mydf <- data.frame(cbind(z[,par1],z[,par2]))
colnames(mydf) <- c('Variable 1','Variable 2')
bitmap(file='test1.png')
boxplot(mydf, notch=TRUE, ylab='value',main=main)
dev.off()
bitmap(file='test2.png')
qqnorm(z[,par1],main='Normal QQplot - Variable 1')
qqline(z[,par1])
dev.off()
bitmap(file='test3.png')
qqnorm(z[,par2],main='Normal QQplot - Variable 2')
qqline(z[,par2])
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Two Sample t-test (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
if(!paired){
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 1',header=TRUE)
a<-table.element(a,r.t$estimate[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 2',header=TRUE)
a<-table.element(a,r.t$estimate[[2]])
a<-table.row.end(a)
} else {
a<-table.row.start(a)
a<-table.element(a,'Difference: Mean1 - Mean2',header=TRUE)
a<-table.element(a,r.t$estimate)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'t-stat',header=TRUE)
a<-table.element(a,r.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,r.t$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,r.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,r.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,r.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(r.t$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',r.t$conf.int[1],',',r.t$conf.int[2],']',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'F-test to compare two variances',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'F-stat',header=TRUE)
a<-table.element(a,v.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,v.t$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,v.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,v.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,v.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(v.t$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',v.t$conf.int[1],',',v.t$conf.int[2],']',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Welch Two Sample t-test (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
if(!paired){
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 1',header=TRUE)
a<-table.element(a,r.w$estimate[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 2',header=TRUE)
a<-table.element(a,r.w$estimate[[2]])
a<-table.row.end(a)
} else {
a<-table.row.start(a)
a<-table.element(a,'Difference: Mean1 - Mean2',header=TRUE)
a<-table.element(a,r.w$estimate)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'t-stat',header=TRUE)
a<-table.element(a,r.w$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,r.w$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,r.w$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,r.w$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,r.w$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(r.w$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',r.w$conf.int[1],',',r.w$conf.int[2],']',sep=''))
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,paste('Wicoxon rank sum test with continuity correction (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'W',header=TRUE)
a<-table.element(a,w.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,w.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,w.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,w.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kolmogorov-Smirnov Test to compare Distributions of two Samples',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'KS Statistic',header=TRUE)
a<-table.element(a,ks.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,ks.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'KS Statistic',header=TRUE)
a<-table.element(a,ks1.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,ks1.t$p.value)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')