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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 computationTue, 25 Nov 2014 14:03:25 +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/25/t1416924226fm1iau83wy6jfqg.htm/, Retrieved Sun, 19 May 2024 10:26:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=258710, Retrieved Sun, 19 May 2024 10:26:23 +0000
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Original text written by user:
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Estimated Impact95
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-       [Paired and Unpaired Two Samples Tests about the Mean] [paper] [2014-11-25 14:03:25] [627bde65e5570be47fd7fc8a9f75ea40] [Current]
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Dataseries X:
50	62
68	71
54	54
73	65
73	52
75	84
72	42
70	66
81	65
71	78
61	66
76	61
70	71
60	69
70	72
76	68
67	70
76	68
75	67
63	77
70	72
75	69
60	71
73	62
64	64
59	58
64	52
60	59
78	68
67	76
66	65
68	59
66	69
73	63
72	75
59	63
78	60
68	73
73	63
65	70
71	66
76	63
63	64
59	61
73	62
66	61
62	66
69	56
57	66
63	53
65	59
47	71
68	71
71	64
59	66
68	62
48	65
59	68
60	60
59	65
79	68
59	64
71	74
57	69
66	68
63	72
58	67
48	66
73	51
61	56
68	67
62	69
62	56
69	55
58	67
58	76
72	64
62	68
65	64
69	65
66	71
66	63
55	60
72	72
62	70
64	61
64	61
68	62
70	71
69	51
73	56
74	70
78	73
75	76
50	52
65	57
78	60
78	60
70	62
63	59
63	61
67	69
66	59
62	66
73	67
69	75
84	69
58	58
57	60
68	74
69	55
60	63
66	68
81	62
72	72
74	62
65	75
51	58
80	47
74	19
70	50
69	79
55	71
71	48
69	66
63	74
39	66
68	71
68	53
67	60
70	70
66	69
59	59
62	72
75	71
73	74
73	80
61	73
63	67
78	61
65	74
77	32
69	69
68	64
76	60
67	59
69	78
59	60
73	68
78	73
68	67
68	65
67	74
55	55
73	49
66	53
75	64
77	57
75	67
57	70
66	75
60	65
64	65
74	69
59	48
69	68
63	74
73	67
55	65
77	74
70	69
66	63
77	68
78	70
72	78
50	74
72	62
71	69
80	65
64	67
69	52
75	53
79	76
60	63
53	41
69	72
68	52
73	65
64	63
79	56
76	56
66	64
57	75
58	65
74	61
62	71
66	72
66	62
65	66
66	63
77	71
65	64
67	78
84	60
58	68
75	68
72	60
75	65
72	64
75	69
72	74
72	76
75	73
66	76
73	55
70	62
64	78
	67
	75
	59
	70
	59
	63
	67
	58
	71
	53
	64
	67
	72
	57
	62
	74
	54
	66
	64
	74
	71
	63
	70
	66
	78
	72
	72
	58
	84
	67
	63
	55
	58
	69
	54
	58
	67
	77
	80
	67
	71
	79
	76
	72
	81
	52
	76
	60
	77
	64
	67
	79
	40
	71
	73
	70
	66
	74
	58
	51
	75
	50
	77
	71




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
R Framework error message & 
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
\tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=258710&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.
[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=258710&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258710&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'Gwilym Jenkins' @ jenkins.wessa.net
R Framework error message
The field 'Names of X columns' contains a hard return which cannot be interpreted.
Please, resubmit your request without hard returns in the 'Names of X columns'.







Two Sample t-test (unpaired)
Mean of Sample 167.5338078291815
Mean of Sample 265.0569395017794
t-stat3.65062111135851
df560
p-value0.000286111817937485
H0 value0
Alternativetwo.sided
CI Level0.95
CI[1.14419440627008,3.80954224853421]
F-test to compare two variances
F-stat0.853859490171263
df280
p-value0.186847415544894
H0 value1
Alternativetwo.sided
CI Level0.95
CI[0.675213201165475,1.07977158577036]

\begin{tabular}{lllllllll}
\hline
Two Sample t-test (unpaired) \tabularnewline
Mean of Sample 1 & 67.5338078291815 \tabularnewline
Mean of Sample 2 & 65.0569395017794 \tabularnewline
t-stat & 3.65062111135851 \tabularnewline
df & 560 \tabularnewline
p-value & 0.000286111817937485 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [1.14419440627008,3.80954224853421] \tabularnewline
F-test to compare two variances \tabularnewline
F-stat & 0.853859490171263 \tabularnewline
df & 280 \tabularnewline
p-value & 0.186847415544894 \tabularnewline
H0 value & 1 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [0.675213201165475,1.07977158577036] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258710&T=1

[TABLE]
[ROW][C]Two Sample t-test (unpaired)[/C][/ROW]
[ROW][C]Mean of Sample 1[/C][C]67.5338078291815[/C][/ROW]
[ROW][C]Mean of Sample 2[/C][C]65.0569395017794[/C][/ROW]
[ROW][C]t-stat[/C][C]3.65062111135851[/C][/ROW]
[ROW][C]df[/C][C]560[/C][/ROW]
[ROW][C]p-value[/C][C]0.000286111817937485[/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][1.14419440627008,3.80954224853421][/C][/ROW]
[ROW][C]F-test to compare two variances[/C][/ROW]
[ROW][C]F-stat[/C][C]0.853859490171263[/C][/ROW]
[ROW][C]df[/C][C]280[/C][/ROW]
[ROW][C]p-value[/C][C]0.186847415544894[/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][0.675213201165475,1.07977158577036][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258710&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258710&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 167.5338078291815
Mean of Sample 265.0569395017794
t-stat3.65062111135851
df560
p-value0.000286111817937485
H0 value0
Alternativetwo.sided
CI Level0.95
CI[1.14419440627008,3.80954224853421]
F-test to compare two variances
F-stat0.853859490171263
df280
p-value0.186847415544894
H0 value1
Alternativetwo.sided
CI Level0.95
CI[0.675213201165475,1.07977158577036]







Welch Two Sample t-test (unpaired)
Mean of Sample 167.5338078291815
Mean of Sample 265.0569395017794
t-stat3.65062111135851
df556.541520724654
p-value0.000286268641049089
H0 value0
Alternativetwo.sided
CI Level0.95
CI[1.14417646918805,3.80956018561624]

\begin{tabular}{lllllllll}
\hline
Welch Two Sample t-test (unpaired) \tabularnewline
Mean of Sample 1 & 67.5338078291815 \tabularnewline
Mean of Sample 2 & 65.0569395017794 \tabularnewline
t-stat & 3.65062111135851 \tabularnewline
df & 556.541520724654 \tabularnewline
p-value & 0.000286268641049089 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.95 \tabularnewline
CI & [1.14417646918805,3.80956018561624] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258710&T=2

[TABLE]
[ROW][C]Welch Two Sample t-test (unpaired)[/C][/ROW]
[ROW][C]Mean of Sample 1[/C][C]67.5338078291815[/C][/ROW]
[ROW][C]Mean of Sample 2[/C][C]65.0569395017794[/C][/ROW]
[ROW][C]t-stat[/C][C]3.65062111135851[/C][/ROW]
[ROW][C]df[/C][C]556.541520724654[/C][/ROW]
[ROW][C]p-value[/C][C]0.000286268641049089[/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][1.14417646918805,3.80956018561624][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258710&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258710&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 167.5338078291815
Mean of Sample 265.0569395017794
t-stat3.65062111135851
df556.541520724654
p-value0.000286268641049089
H0 value0
Alternativetwo.sided
CI Level0.95
CI[1.14417646918805,3.80956018561624]







Wicoxon rank sum test with continuity correction (unpaired)
W46286
p-value0.000402394378517136
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.135231316725979
p-value0.0117295608319357
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.0462633451957295
p-value0.924442530643977

\begin{tabular}{lllllllll}
\hline
Wicoxon rank sum test with continuity correction (unpaired) \tabularnewline
W & 46286 \tabularnewline
p-value & 0.000402394378517136 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
Kolmogorov-Smirnov Test to compare Distributions of two Samples \tabularnewline
KS Statistic & 0.135231316725979 \tabularnewline
p-value & 0.0117295608319357 \tabularnewline
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples \tabularnewline
KS Statistic & 0.0462633451957295 \tabularnewline
p-value & 0.924442530643977 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=258710&T=3

[TABLE]
[ROW][C]Wicoxon rank sum test with continuity correction (unpaired)[/C][/ROW]
[ROW][C]W[/C][C]46286[/C][/ROW]
[ROW][C]p-value[/C][C]0.000402394378517136[/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]0.135231316725979[/C][/ROW]
[ROW][C]p-value[/C][C]0.0117295608319357[/C][/ROW]
[ROW][C]Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples[/C][/ROW]
[ROW][C]KS Statistic[/C][C]0.0462633451957295[/C][/ROW]
[ROW][C]p-value[/C][C]0.924442530643977[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=258710&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=258710&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)
W46286
p-value0.000402394378517136
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.135231316725979
p-value0.0117295608319357
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.0462633451957295
p-value0.924442530643977



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = unpaired ; par6 = 0 ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = unpaired ; par6 = 0 ;
R code (references can be found in the software module):
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')