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Author*The author of this computation has been verified*
R Software Modulerwasp_Two Factor ANOVA.wasp
Title produced by softwareTwo-Way ANOVA
Date of computationSat, 17 Dec 2011 09:33:06 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/17/t1324132395xz9d8wugmonxnom.htm/, Retrieved Thu, 25 Apr 2024 16:27:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=156342, Retrieved Thu, 25 Apr 2024 16:27:41 +0000
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Estimated Impact218
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-       [Two-Way ANOVA] [] [2011-12-17 14:33:06] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
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Dataseries X:
13	'SHW'	'Female'
12	'SHW'	'Female'
11	'SHW'	'Female'
10	'SHW'	'Male'
8	'SHW'	'Male'
7	'SHW'	'Female'
10	'SHW'	'Male'
8	'SHW'	'Male'
13	'SHW'	'Male'
11	'SHW'	'Male'
8	'SHW'	'Male'
9	'SHW'	'Female'
12	'SHW'	'Female'
11	'BA2'	'Male'
9	'SHW'	'Female'
8	'SHW'	'Male'
9	'SHW'	'Male'
8	'SHW'	'Female'
11	'SHW'	'Male'
10	'SHW'	'Female'
15	'SHW'	'Female'
11	'SHW'	'Male'
16	'SHW'	'Male'
12	'SHW'	'Male'
11	'SHW'	'Male'
11	'SHW'	'Female'
10	'BA2'	'Male'
8	'SHW'	'Male'
11	'SHW'	'Male'
11	'SHW'	'Male'
13	'SHW'	'Male'
15	'BA2'	'Male'
12	'SHW'	'Female'
14	'BA2'	'Male'
12	'SHW'	'Male'
7	'SHW'	'Male'
8	'SHW'	'Male'
12	'SHW'	'Female'
10	'BA2'	'Male'
9	'SHW'	'Male'
12	'BA2'	'Male'
10	'SHW'	'Female'
9	'BA2'	'Male'
10	'SHW'	'Male'
13	'BA2'	'Male'
8	'SHW'	'Female'
11	'BA2'	'Female'
11	'BA2'	'Male'
9	'SHW'	'Male'
9	'SHW'	'Male'
12	'BA2'	'Female'
10	'BA2'	'Female'
9	'BA2'	'Female'
14	'BA2'	'Male'
8	'BA2'	'Male'
9	'BA2'	'Female'
14	'BA2'	'Female'
8	'BA2'	'Male'
16	'BA2'	'Male'
14	'BA2'	'Male'
14	'BA2'	'Female'
8	'BA2'	'Male'
11	'BA2'	'Male'
11	'BA2'	'Female'
13	'BA2'	'Male'
12	'BA2'	'Male'
9	'BA2'	'Male'
10	'BA2'	'Female'
12	'BA2'	'Male'
11	'BA2'	'Male'
15	'BA2'	'Female'
14	'BA2'	'Male'
16	'SHW'	'Male'
16	'SHW'	'Male'
9	'SHW'	'Male'
10	'SHW'	'Male'
14	'SHW'	'Male'
14	'BA2'	'Male'
21	'BA2'	'Female'
14	'SHW'	'Female'
17	'SHW'	'Male'
18	'SHW'	'Female'
16	'SHW'	'Male'
14	'BA2'	'Male'
13	'BA2'	'Female'
17	'SHW'	'Male'
10	'SHW'	'Male'
17	'SHW'	'Female'
13	'SHW'	'Male'
18	'SHW'	'Male'
14	'SHW'	'Female'
14	'SHW'	'Male'
15	'SHW'	'Female'
12	'BA2'	'Male'
17	'BA2'	'Male'
15	'BA2'	'Male'
12	'BA2'	'Female'
13	'BA2'	'Male'
14	'BA2'	'Female'
18	'BA2'	'Male'
16	'SHW'	'Male'
21	'SHW'	'Female'
20	'SHW'	'Male'
10	'BA2'	'Female'
16	'BA2'	'Female'
19	'SHW'	'Female'
12	'SHW'	'Male'
13	'BA2'	'Male'
20	'BA2'	'Female'
14	'BA2'	'Female'
10	'BA2'	'Male'
13	'BA2'	'Female'
11	'BA2'	'Female'
13	'BA2'	'Male'
13	'BA2'	'Male'
11	'BA2'	'Male'
15	'BA2'	'Female'
14	'BA2'	'Female'
10	'BA2'	'Female'
24	'SHW'	'Female'
23	'SHW'	'Male'
19	'SHW'	'Female'
19	'SHW'	'Female'
22	'SHW'	'Male'
16	'SHW'	'Male'
16	'BA2'	'Female'
20	'SHW'	'Male'
11	'SHW'	'Female'
20	'SHW'	'Male'
15	'SHW'	'Female'
21	'SHW'	'Female'
17	'SHW'	'Female'
25	'BA2'	'Female'
17	'BA2'	'Male'
16	'BA2'	'Female'
17	'BA2'	'Female'
15	'BA2'	'Female'
15	'BA2'	'Female'
26	'SHW'	'Female'
25	'SHW'	'Female'
20	'SHW'	'Female'
20	'SHW'	'Male'
26	'SHW'	'Female'




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156342&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156342&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156342&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'Herman Ole Andreas Wold' @ wold.wessa.net







ANOVA Model
xdf2$depression ~ xdf2$course * xdf2$gender
names(Intercept)xdf2$courseSHWxdf2$genderMalexdf2$courseSHW:xdf2$genderMale
means13.8621.2894-1.4335-0.84845

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
xdf2$depression ~ xdf2$course * xdf2$gender \tabularnewline
names & (Intercept) & xdf2$courseSHW & xdf2$genderMale & xdf2$courseSHW:xdf2$genderMale \tabularnewline
means & 13.862 & 1.2894 & -1.4335 & -0.84845 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156342&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]xdf2$depression ~ xdf2$course * xdf2$gender[/C][/ROW]
[ROW][C]names[/C][C](Intercept)[/C][C]xdf2$courseSHW[/C][C]xdf2$genderMale[/C][C]xdf2$courseSHW:xdf2$genderMale[/C][/ROW]
[ROW][C]means[/C][C]13.862[/C][C]1.2894[/C][C]-1.4335[/C][C]-0.84845[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156342&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156342&T=1

As an alternative you can also use a QR Code:  

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

ANOVA Model
xdf2$depression ~ xdf2$course * xdf2$gender
names(Intercept)xdf2$courseSHWxdf2$genderMalexdf2$courseSHW:xdf2$genderMale
means13.8621.2894-1.4335-0.84845







ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
xdf2$course119.60619.6061.13860.2878
xdf2$gender1126.39126.397.34030.0075912
xdf2$course:xdf2$gender16.25456.25450.363230.5477
Residuals1392393.517.219

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
xdf2$course & 1 & 19.606 & 19.606 & 1.1386 & 0.2878 \tabularnewline
xdf2$gender & 1 & 126.39 & 126.39 & 7.3403 & 0.0075912 \tabularnewline
xdf2$course:xdf2$gender & 1 & 6.2545 & 6.2545 & 0.36323 & 0.5477 \tabularnewline
Residuals & 139 & 2393.5 & 17.219 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156342&T=2

[TABLE]
[ROW][C]ANOVA Statistics[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]Sum Sq[/C][C]Mean Sq[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C][/C][C]1[/C][C][/C][C][/C][C][/C][C][/C][/ROW]
[ROW][C]xdf2$course[/C][C]1[/C][C]19.606[/C][C]19.606[/C][C]1.1386[/C][C]0.2878[/C][/ROW]
[ROW][C]xdf2$gender[/C][C]1[/C][C]126.39[/C][C]126.39[/C][C]7.3403[/C][C]0.0075912[/C][/ROW]
[ROW][C]xdf2$course:xdf2$gender[/C][C]1[/C][C]6.2545[/C][C]6.2545[/C][C]0.36323[/C][C]0.5477[/C][/ROW]
[ROW][C]Residuals[/C][C]139[/C][C]2393.5[/C][C]17.219[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156342&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156342&T=2

As an alternative you can also use a QR Code:  

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

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
1
xdf2$course119.60619.6061.13860.2878
xdf2$gender1126.39126.397.34030.0075912
xdf2$course:xdf2$gender16.25456.25450.363230.5477
Residuals1392393.517.219







Tukey Honest Significant Difference Comparisons
difflwruprp adj
SHW-BA20.74466-0.635142.12450.2878
Male-Female-1.8959-3.2804-0.511450.0076284
SHW:Female-BA2:Female1.2894-1.45714.0360.61471
BA2:Male-BA2:Female-1.4335-4.14311.27610.51666
SHW:Male-BA2:Female-0.9925-3.55111.56610.74459
BA2:Male-SHW:Female-2.7229-5.3412-0.104710.038133
SHW:Male-SHW:Female-2.2819-4.74360.179680.079767
SHW:Male-BA2:Male0.44099-1.97932.86130.96473

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
SHW-BA2 & 0.74466 & -0.63514 & 2.1245 & 0.2878 \tabularnewline
Male-Female & -1.8959 & -3.2804 & -0.51145 & 0.0076284 \tabularnewline
SHW:Female-BA2:Female & 1.2894 & -1.4571 & 4.036 & 0.61471 \tabularnewline
BA2:Male-BA2:Female & -1.4335 & -4.1431 & 1.2761 & 0.51666 \tabularnewline
SHW:Male-BA2:Female & -0.9925 & -3.5511 & 1.5661 & 0.74459 \tabularnewline
BA2:Male-SHW:Female & -2.7229 & -5.3412 & -0.10471 & 0.038133 \tabularnewline
SHW:Male-SHW:Female & -2.2819 & -4.7436 & 0.17968 & 0.079767 \tabularnewline
SHW:Male-BA2:Male & 0.44099 & -1.9793 & 2.8613 & 0.96473 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156342&T=3

[TABLE]
[ROW][C]Tukey Honest Significant Difference Comparisons[/C][/ROW]
[ROW][C] [/C][C]diff[/C][C]lwr[/C][C]upr[/C][C]p adj[/C][/ROW]
[ROW][C]SHW-BA2[/C][C]0.74466[/C][C]-0.63514[/C][C]2.1245[/C][C]0.2878[/C][/ROW]
[ROW][C]Male-Female[/C][C]-1.8959[/C][C]-3.2804[/C][C]-0.51145[/C][C]0.0076284[/C][/ROW]
[ROW][C]SHW:Female-BA2:Female[/C][C]1.2894[/C][C]-1.4571[/C][C]4.036[/C][C]0.61471[/C][/ROW]
[ROW][C]BA2:Male-BA2:Female[/C][C]-1.4335[/C][C]-4.1431[/C][C]1.2761[/C][C]0.51666[/C][/ROW]
[ROW][C]SHW:Male-BA2:Female[/C][C]-0.9925[/C][C]-3.5511[/C][C]1.5661[/C][C]0.74459[/C][/ROW]
[ROW][C]BA2:Male-SHW:Female[/C][C]-2.7229[/C][C]-5.3412[/C][C]-0.10471[/C][C]0.038133[/C][/ROW]
[ROW][C]SHW:Male-SHW:Female[/C][C]-2.2819[/C][C]-4.7436[/C][C]0.17968[/C][C]0.079767[/C][/ROW]
[ROW][C]SHW:Male-BA2:Male[/C][C]0.44099[/C][C]-1.9793[/C][C]2.8613[/C][C]0.96473[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156342&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156342&T=3

As an alternative you can also use a QR Code:  

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

Tukey Honest Significant Difference Comparisons
difflwruprp adj
SHW-BA20.74466-0.635142.12450.2878
Male-Female-1.8959-3.2804-0.511450.0076284
SHW:Female-BA2:Female1.2894-1.45714.0360.61471
BA2:Male-BA2:Female-1.4335-4.14311.27610.51666
SHW:Male-BA2:Female-0.9925-3.55111.56610.74459
BA2:Male-SHW:Female-2.7229-5.3412-0.104710.038133
SHW:Male-SHW:Female-2.2819-4.74360.179680.079767
SHW:Male-BA2:Male0.44099-1.97932.86130.96473







Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group35.38710.0015457
139

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 3 & 5.3871 & 0.0015457 \tabularnewline
  & 139 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=156342&T=4

[TABLE]
[ROW][C]Levenes Test for Homogeneity of Variance[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Group[/C][C]3[/C][C]5.3871[/C][C]0.0015457[/C][/ROW]
[ROW][C] [/C][C]139[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=156342&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=156342&T=4

As an alternative you can also use a QR Code:  

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

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group35.38710.0015457
139



Parameters (Session):
par1 = pearson ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 3 ; par4 = TRUE ;
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
cat3 <- as.numeric(par3)
intercept<-as.logical(par4)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
f2 <- as.character(x[,cat3])
xdf<-data.frame(x1,f1, f2)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
(V3 <-dimnames(y)[[1]][cat3])
mynames<- c(V1, V2, V3)
xdf2<-xdf
names(xdf2)<-mynames
names(xdf)<-c('R', 'A', 'B')
mynames <- c(V1, V2, V3)
if(intercept == FALSE)eval (substitute(lmout<-lm(xdf$R ~ xdf$A * xdf$B- 1, data = xdf), list(xdf=quote(xdf2),R=mynames[1],A=mynames[2],B=mynames[3]) ))else eval(substitute(lmout<-lm(xdf$R ~ xdf$A * xdf$B, data = xdf), list(xdf=quote(xdf2),R=mynames[1],A=mynames[2],B=mynames[3]) ))
oldnames<-names(lmout$coeff)
newnames<-gsub('xdf2$', '', oldnames)
(names(lmout$coeff)<-newnames)
(names(lmout$coefficients)<-newnames)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmout$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
callstr<-gsub('xdf2$', '',as.character(lmout$call$formula))
callstr<-paste(callstr[2], callstr[1], callstr[3])
a<-table.element(a,callstr ,length(lmout$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'names',,TRUE)
for(i in 1:length(lmout$coefficients)){
a<-table.element(a, names(lmout$coefficients[i]),,FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmout$coefficients)){
a<-table.element(a, signif(lmout$coefficients[i], digits=5),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
(aov.xdf<-aov(lmout) )
(anova.xdf<-anova(lmout) )
rownames(anova.xdf)<-gsub('xdf2$','',rownames(anova.xdf))
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
for(i in 1 : length(rownames(anova.xdf))-1){
a<-table.row.start(a)
a<-table.element(a,rownames(anova.xdf)[i] ,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, signif(anova.xdf$'Sum Sq'[i], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'Mean Sq'[i], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'F value'[i], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'Pr(>F)'[i], digits=5),,FALSE)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$'Df'[i+1],,FALSE)
a<-table.element(a, signif(anova.xdf$'Sum Sq'[i+1], digits=5),,FALSE)
a<-table.element(a, signif(anova.xdf$'Mean Sq'[i+1], digits=5),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(R ~ A + B, data=xdf, xlab=V2, ylab=V1, main='Boxplots of ANOVA Groups')
dev.off()
bitmap(file='designplot.png')
xdf2 <- xdf # to preserve xdf make copy for function
names(xdf2) <- c(V1, V2, V3)
plot.design(xdf2, main='Design Plot of Group Means')
dev.off()
bitmap(file='interactionplot.png')
interaction.plot(xdf$A, xdf$B, xdf$R, xlab=V2, ylab=V1, trace.label=V3, main='Possible Interactions Between Anova Groups')
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
names(thsd) <- c(V2, V3, paste(V2, ':', V3, sep=''))
bitmap(file='TukeyHSDPlot.png')
layout(matrix(c(0,0,1,2,1,2,0,0,3,3,3,3), 2,6))
plot(thsd, las=1)
dev.off()
}
if(intercept==TRUE){
ntables<-length(names(thsd))
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Honest Significant Difference Comparisons', 5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1, TRUE)
for(i in 1:4){
a<-table.element(a,colnames(thsd[[1]])[i], 1, TRUE)
}
a<-table.row.end(a)
for(nt in 1:ntables){
for(i in 1:length(rownames(thsd[[nt]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[nt]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,signif(thsd[[nt]][i,j], digits=5), 1, FALSE)
}
a<-table.row.end(a)
}
} # end nt
a<-table.end(a)
table.save(a,file='hsdtable.tab')
}#end if hsd tables
if(intercept==FALSE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'TukeyHSD Message', 1,TRUE)
a<-table.row.end(a)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Must Include Intercept to use Tukey Test ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
library(car)
lt.lmxdf<-levene.test(lmout)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Levenes Test for Homogeneity of Variance', 4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
for (i in 1:3){
a<-table.element(a,names(lt.lmxdf)[i], 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Group', 1, TRUE)
for (i in 1:3){
a<-table.element(a,signif(lt.lmxdf[[i]][1], digits=5), 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
a<-table.element(a,lt.lmxdf[[1]][2], 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')