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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 computationFri, 09 Nov 2018 19:43:16 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Nov/09/t1541789015ruhj4dow3bm4jof.htm/, Retrieved Tue, 07 May 2024 03:46:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315626, Retrieved Tue, 07 May 2024 03:46:50 +0000
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Dataseries X:
NA 9
NA 17
4 NA
NA 11
NA 12
NA 15
5 NA
NA 11
NA 10
NA 6
16 NA
NA 10
12 NA
9 NA
NA 13
NA 12
5 NA
5 NA
NA 15
NA 6
2 NA
NA 6
NA 17
7 NA
NA 13
NA 14
NA 9
13 NA
NA 12
NA 2
11 NA
NA 7
NA 5
0 NA
NA 11
5 NA
NA 6
NA 4
14 NA
NA 10
1 NA
NA 6
11 NA
NA 17
12 NA
NA 4
NA 4
NA 6
6 NA
NA 10
NA 13
NA 15
NA 3
NA 9
NA 19
NA 7
NA 4
NA 5
NA 9
7 NA
NA 12
NA 5
NA 12
8 NA
NA 12
NA 11
NA 9
NA 9
11 NA
NA 9
9 NA
5 NA
NA 7
NA 7
-3 NA
NA 4
7 NA
NA 13
13 NA
NA 10
NA 5
2 NA
NA 13
NA 6
NA 14
NA 13
NA 11
NA 6
NA 12
NA 9
NA 17
NA 7
NA 13
NA 12
NA 6
NA 11
NA 9
7 NA
NA 11
NA 15
NA 6
NA 12
NA 3
10 NA
NA 9
NA 10
8 NA
8 NA
2 NA
NA 12
NA 12
NA 10
NA 12
NA 12
6 NA
3 NA
NA 4
NA 12
3 NA
9 NA
NA 13
-1 NA
NA 14
NA 6
12 NA
NA 9
NA 10
NA 6
NA 17
4 NA
7 NA
NA 12
7 NA
2 NA
13 NA
14 NA
11 NA
14 NA
NA 14
8 NA
12 NA
2 NA
15 NA
14 NA
NA 13
NA 15
4 NA
NA 9
NA 12
NA 18
NA 11
4 NA
NA 4
8 NA
7 NA
NA 12
NA 9
6 NA
NA 11
NA 16
7 NA
NA 6
9 NA
17 NA
NA 15
NA 9
16 NA
NA 5
7 NA
NA 13
12 NA
9 NA
NA 10
9 NA
0 NA
3 NA
NA 15
5 NA
4 NA
14 NA
NA 9
15 NA
13 NA
9 NA
11 NA
NA 13
5 NA
1 NA
17 NA
NA 9
6 NA
9 NA
7 NA
NA 9
6 NA
11 NA
0 NA
NA 15
16 NA
7 NA
NA 7
15 NA
10 NA
7 NA
13 NA
3 NA
0 NA
11 NA
NA 11
6 NA
-4 NA
NA 10
4 NA
16 NA
13 NA
NA 7
0 NA
NA 13
6 NA
4 NA
4 NA
2 NA
13 NA
NA 15
15 NA
6 NA
4 NA
13 NA
13 NA
6 NA
11 NA
9 NA
12 NA
2 NA
6 NA
6 NA
-1 NA
4 NA
11 NA
2 NA
7 NA




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315626&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315626&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315626&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







Two Sample t-test (unpaired)
Mean of Sample 17.64705882352941
Mean of Sample 210.1639344262295
t-stat-4.53434761447889
df239
p-value9.14269910410163e-06
H0 value0
Alternativetwo.sided
CI Level0.96
CI[-3.66310316191272,-1.37064804348748]
F-test to compare two variances
F-stat1.61191530912547
df118
p-value0.00945958302412553
H0 value1
Alternativetwo.sided
CI Level0.96
CI[1.10538008622485,2.3526336915449]

\begin{tabular}{lllllllll}
\hline
Two Sample t-test (unpaired) \tabularnewline
Mean of Sample 1 & 7.64705882352941 \tabularnewline
Mean of Sample 2 & 10.1639344262295 \tabularnewline
t-stat & -4.53434761447889 \tabularnewline
df & 239 \tabularnewline
p-value & 9.14269910410163e-06 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.96 \tabularnewline
CI & [-3.66310316191272,-1.37064804348748] \tabularnewline
F-test to compare two variances \tabularnewline
F-stat & 1.61191530912547 \tabularnewline
df & 118 \tabularnewline
p-value & 0.00945958302412553 \tabularnewline
H0 value & 1 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.96 \tabularnewline
CI & [1.10538008622485,2.3526336915449] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315626&T=1

[TABLE]
[ROW][C]Two Sample t-test (unpaired)[/C][/ROW]
[ROW][C]Mean of Sample 1[/C][C]7.64705882352941[/C][/ROW]
[ROW][C]Mean of Sample 2[/C][C]10.1639344262295[/C][/ROW]
[ROW][C]t-stat[/C][C]-4.53434761447889[/C][/ROW]
[ROW][C]df[/C][C]239[/C][/ROW]
[ROW][C]p-value[/C][C]9.14269910410163e-06[/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]0.96[/C][/ROW]
[ROW][C]CI[/C][C][-3.66310316191272,-1.37064804348748][/C][/ROW]
[ROW][C]F-test to compare two variances[/C][/ROW]
[ROW][C]F-stat[/C][C]1.61191530912547[/C][/ROW]
[ROW][C]df[/C][C]118[/C][/ROW]
[ROW][C]p-value[/C][C]0.00945958302412553[/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]0.96[/C][/ROW]
[ROW][C]CI[/C][C][1.10538008622485,2.3526336915449][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315626&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315626&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 17.64705882352941
Mean of Sample 210.1639344262295
t-stat-4.53434761447889
df239
p-value9.14269910410163e-06
H0 value0
Alternativetwo.sided
CI Level0.96
CI[-3.66310316191272,-1.37064804348748]
F-test to compare two variances
F-stat1.61191530912547
df118
p-value0.00945958302412553
H0 value1
Alternativetwo.sided
CI Level0.96
CI[1.10538008622485,2.3526336915449]







Welch Two Sample t-test (unpaired)
Mean of Sample 17.64705882352941
Mean of Sample 210.1639344262295
t-stat-4.52108786386424
df224.020946504016
p-value9.96802439134885e-06
H0 value0
Alternativetwo.sided
CI Level0.96
CI[-3.66688677043648,-1.36686443496371]

\begin{tabular}{lllllllll}
\hline
Welch Two Sample t-test (unpaired) \tabularnewline
Mean of Sample 1 & 7.64705882352941 \tabularnewline
Mean of Sample 2 & 10.1639344262295 \tabularnewline
t-stat & -4.52108786386424 \tabularnewline
df & 224.020946504016 \tabularnewline
p-value & 9.96802439134885e-06 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
CI Level & 0.96 \tabularnewline
CI & [-3.66688677043648,-1.36686443496371] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315626&T=2

[TABLE]
[ROW][C]Welch Two Sample t-test (unpaired)[/C][/ROW]
[ROW][C]Mean of Sample 1[/C][C]7.64705882352941[/C][/ROW]
[ROW][C]Mean of Sample 2[/C][C]10.1639344262295[/C][/ROW]
[ROW][C]t-stat[/C][C]-4.52108786386424[/C][/ROW]
[ROW][C]df[/C][C]224.020946504016[/C][/ROW]
[ROW][C]p-value[/C][C]9.96802439134885e-06[/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]0.96[/C][/ROW]
[ROW][C]CI[/C][C][-3.66688677043648,-1.36686443496371][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315626&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315626&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 17.64705882352941
Mean of Sample 210.1639344262295
t-stat-4.52108786386424
df224.020946504016
p-value9.96802439134885e-06
H0 value0
Alternativetwo.sided
CI Level0.96
CI[-3.66688677043648,-1.36686443496371]







Wilcoxon Rank-Sum Test (Mann–Whitney U test) with continuity correction (unpaired)
W5078
p-value5.31223764676261e-05
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.29294668687147
p-value6.46649874186389e-05
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.155599944895991
p-value0.108172742457023

\begin{tabular}{lllllllll}
\hline
Wilcoxon Rank-Sum Test (Mann–Whitney U test) with continuity correction (unpaired) \tabularnewline
W & 5078 \tabularnewline
p-value & 5.31223764676261e-05 \tabularnewline
H0 value & 0 \tabularnewline
Alternative & two.sided \tabularnewline
Kolmogorov-Smirnov Test to compare Distributions of two Samples \tabularnewline
KS Statistic & 0.29294668687147 \tabularnewline
p-value & 6.46649874186389e-05 \tabularnewline
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples \tabularnewline
KS Statistic & 0.155599944895991 \tabularnewline
p-value & 0.108172742457023 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315626&T=3

[TABLE]
[ROW][C]Wilcoxon Rank-Sum Test (Mann–Whitney U test) with continuity correction (unpaired)[/C][/ROW]
[ROW][C]W[/C][C]5078[/C][/ROW]
[ROW][C]p-value[/C][C]5.31223764676261e-05[/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]0.29294668687147[/C][/ROW]
[ROW][C]p-value[/C][C]6.46649874186389e-05[/C][/ROW]
[ROW][C]Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples[/C][/ROW]
[ROW][C]KS Statistic[/C][C]0.155599944895991[/C][/ROW]
[ROW][C]p-value[/C][C]0.108172742457023[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315626&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315626&T=3

As an alternative you can also use a QR Code:  

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

Wilcoxon Rank-Sum Test (Mann–Whitney U test) with continuity correction (unpaired)
W5078
p-value5.31223764676261e-05
H0 value0
Alternativetwo.sided
Kolmogorov-Smirnov Test to compare Distributions of two Samples
KS Statistic0.29294668687147
p-value6.46649874186389e-05
Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples
KS Statistic0.155599944895991
p-value0.108172742457023



Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0.96 ; par4 = two.sided ; par5 = unpaired ; par6 = 0 ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 0.96 ; 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)
myWlabel <- 'Wilcoxon Signed-Rank Test'
if (par5=='unpaired') myWlabel = 'Wilcoxon Rank-Sum Test (Mann–Whitney U test)'
a<-table.element(a,paste(myWlabel,' 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')