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Author

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R Software Module

Ian.Hollidayrwasp_Two Factor ANOVA -V2.wasp

Title produced by software

Variability

Date of computation

Wed, 02 Jun 2010 09:21:13 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Jun/02/t1275470534iotjprq1lhxes2x.htm/, Retrieved Thu, 14 Aug 2025 10:08:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=77025, Retrieved Thu, 14 Aug 2025 10:08:20 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

344

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Two-Way ANOVA] [two-way anova wit...] [2010-05-26 17:02:24] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R PD  [Two-Way ANOVA] [ANOVA with good l...] [2010-05-28 23:09:47] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R       [Variability] [ANOVA with better...] [2010-05-29 09:47:12] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R         [Variability] [ANOVA with better...] [2010-05-29 09:54:40] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R           [Variability] [Exam QA1] [2010-06-02 08:43:04] [2cb75f3785cab2383fe897d8b1eb3abc]
- R  D            [Variability] [SUMMER EXAM QA ad...] [2010-06-02 09:21:13] [fef42b372a97e0ee30ed830922861f07] [Current]

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Dataseries X:

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Histogram

Boxplots

'GOOD'	'HIGH'	25
'GOOD'	'HIGH'	0
'GOOD'	'HIGH'	-16
'GOOD'	'HIGH'	5
'GOOD'	'HIGH'	11
'GOOD'	'HIGH'	-6
'GOOD'	'HIGH'	-2
'GOOD'	'HIGH'	-13
'GOOD'	'HIGH'	14
'GOOD'	'HIGH'	4
'GOOD'	'HIGH'	19
'GOOD'	'HIGH'	6
'GOOD'	'HIGH'	-6
'GOOD'	'LOW'	-25
'GOOD'	'LOW'	-23
'GOOD'	'LOW'	-28
'GOOD'	'LOW'	-22
'GOOD'	'LOW'	-22
'GOOD'	'LOW'	-10
'GOOD'	'LOW'	-20
'GOOD'	'LOW'	-24
'GOOD'	'LOW'	-24
'GOOD'	'LOW'	-22
'GOOD'	'LOW'	-23
'GOOD'	'LOW'	-19
'GOOD'	'LOW'	-2
'GOOD'	'LOW'	-8
'GOOD'	'LOW'	-17
'SCIENTIFIC'	'HIGH'	-19
'SCIENTIFIC'	'HIGH'	-4
'SCIENTIFIC'	'HIGH'	-24
'SCIENTIFIC'	'HIGH'	0
'SCIENTIFIC'	'HIGH'	-4
'SCIENTIFIC'	'HIGH'	-1
'SCIENTIFIC'	'HIGH'	-9
'SCIENTIFIC'	'HIGH'	-5
'SCIENTIFIC'	'HIGH'	-6
'SCIENTIFIC'	'HIGH'	4
'SCIENTIFIC'	'HIGH'	-13
'SCIENTIFIC'	'HIGH'	-1
'SCIENTIFIC'	'HIGH'	-3
'SCIENTIFIC'	'HIGH'	-11
'SCIENTIFIC'	'HIGH'	-6
'SCIENTIFIC'	'HIGH'	-4
'SCIENTIFIC'	'LOW'	6
'SCIENTIFIC'	'LOW'	-5
'SCIENTIFIC'	'LOW'	14
'SCIENTIFIC'	'LOW'	-11
'SCIENTIFIC'	'LOW'	14
'SCIENTIFIC'	'LOW'	-5
'SCIENTIFIC'	'LOW'	7
'SCIENTIFIC'	'LOW'	14
'SCIENTIFIC'	'LOW'	-6
'SCIENTIFIC'	'LOW'	9
'SCIENTIFIC'	'LOW'	-5
'NONE'	'HIGH'	-26
'NONE'	'HIGH'	-1
'NONE'	'HIGH'	3
'NONE'	'HIGH'	-26
'NONE'	'HIGH'	4
'NONE'	'HIGH'	-21
'NONE'	'HIGH'	-19
'NONE'	'HIGH'	-12
'NONE'	'HIGH'	9
'NONE'	'HIGH'	-9
'NONE'	'HIGH'	-27
'NONE'	'HIGH'	-10
'NONE'	'HIGH'	0
'NONE'	'HIGH'	-10
'NONE'	'LOW'	-12
'NONE'	'LOW'	-4
'NONE'	'LOW'	13
'NONE'	'LOW'	-7
'NONE'	'LOW'	-20
'NONE'	'LOW'	-4
'NONE'	'LOW'	-10
'NONE'	'LOW'	-3
'NONE'	'LOW'	-11
'NONE'	'LOW'	2
'NONE'	'LOW'	-9
'NONE'	'LOW'	9
'NONE'	'LOW'	-8
'NONE'	'LOW'	8
'NONE'	'LOW'	-6
'NONE'	'LOW'	6

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77025&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77025&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77025&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 Output	view raw output of R engine
Computing time	2 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

ANOVA Model
R ~ Exp * Inst
names	(Intercept)	ExpLOW	InstNONE	InstSCIENTIFIC	ExpLOW:InstNONE	ExpLOW:InstSCIENTIFIC
means	3.154	-22.421	-13.511	-9.779	29.278	31.955

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
R ~ Exp * Inst \tabularnewline
names & (Intercept) & ExpLOW & InstNONE & InstSCIENTIFIC & ExpLOW:InstNONE & ExpLOW:InstSCIENTIFIC \tabularnewline
means & 3.154 & -22.421 & -13.511 & -9.779 & 29.278 & 31.955 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77025&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]R ~ Exp * Inst[/C][/ROW]
[ROW][C]names[/C][C](Intercept)[/C][C]ExpLOW[/C][C]InstNONE[/C][C]InstSCIENTIFIC[/C][C]ExpLOW:InstNONE[/C][C]ExpLOW:InstSCIENTIFIC[/C][/ROW]
[ROW][C]means[/C][C]3.154[/C][C]-22.421[/C][C]-13.511[/C][C]-9.779[/C][C]29.278[/C][C]31.955[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77025&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77025&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
R ~ Exp * Inst
names	(Intercept)	ExpLOW	InstNONE	InstSCIENTIFIC	ExpLOW:InstNONE	ExpLOW:InstSCIENTIFIC
means	3.154	-22.421	-13.511	-9.779	29.278	31.955

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
	1
Exp	1	140.188	140.188	1.527	0.22
Inst	1	475.329	237.664	2.59	0.081
Exp:Inst	1	4356.995	2178.498	23.736	0
Residuals	79	7250.499	91.778

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
 & 1 &  &  &  &  \tabularnewline
Exp & 1 & 140.188 & 140.188 & 1.527 & 0.22 \tabularnewline
Inst & 1 & 475.329 & 237.664 & 2.59 & 0.081 \tabularnewline
Exp:Inst & 1 & 4356.995 & 2178.498 & 23.736 & 0 \tabularnewline
Residuals & 79 & 7250.499 & 91.778 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77025&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]Exp[/C][C]1[/C][C]140.188[/C][C]140.188[/C][C]1.527[/C][C]0.22[/C][/ROW]
[ROW][C]Inst[/C][C]1[/C][C]475.329[/C][C]237.664[/C][C]2.59[/C][C]0.081[/C][/ROW]
[ROW][C]Exp:Inst[/C][C]1[/C][C]4356.995[/C][C]2178.498[/C][C]23.736[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]79[/C][C]7250.499[/C][C]91.778[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77025&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77025&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
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
	1
Exp	1	140.188	140.188	1.527	0.22
Inst	1	475.329	237.664	2.59	0.081
Exp:Inst	1	4356.995	2178.498	23.736	0
Residuals	79	7250.499	91.778

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
LOW-HIGH	-2.569	-6.706	1.568	0.22
NONE-GOOD	2.151	-3.862	8.164	0.67
SCIENTIFIC-GOOD	5.787	-0.385	11.959	0.071
SCIENTIFIC-NONE	3.636	-2.435	9.706	0.33
LOW:GOOD-HIGH:GOOD	-22.421	-33.024	-11.817	0
HIGH:NONE-HIGH:GOOD	-13.511	-24.289	-2.733	0.006
LOW:NONE-HIGH:GOOD	-6.654	-17.102	3.794	0.434
HIGH:SCIENTIFIC-HIGH:GOOD	-9.779	-20.227	0.669	0.08
LOW:SCIENTIFIC-HIGH:GOOD	-0.245	-11.708	11.219	1
HIGH:NONE-LOW:GOOD	8.91	-1.489	19.308	0.136
LOW:NONE-LOW:GOOD	15.767	5.71	25.823	0
HIGH:SCIENTIFIC-LOW:GOOD	12.642	2.585	22.698	0.006
LOW:SCIENTIFIC-LOW:GOOD	22.176	11.068	33.283	0
LOW:NONE-HIGH:NONE	6.857	-3.383	17.097	0.377
HIGH:SCIENTIFIC-HIGH:NONE	3.732	-6.508	13.972	0.894
LOW:SCIENTIFIC-HIGH:NONE	13.266	1.992	24.54	0.012
HIGH:SCIENTIFIC-LOW:NONE	-3.125	-13.018	6.768	0.94
LOW:SCIENTIFIC-LOW:NONE	6.409	-4.551	17.369	0.531
LOW:SCIENTIFIC-HIGH:SCIENTIFIC	9.534	-1.426	20.494	0.125

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
LOW-HIGH & -2.569 & -6.706 & 1.568 & 0.22 \tabularnewline
NONE-GOOD & 2.151 & -3.862 & 8.164 & 0.67 \tabularnewline
SCIENTIFIC-GOOD & 5.787 & -0.385 & 11.959 & 0.071 \tabularnewline
SCIENTIFIC-NONE & 3.636 & -2.435 & 9.706 & 0.33 \tabularnewline
LOW:GOOD-HIGH:GOOD & -22.421 & -33.024 & -11.817 & 0 \tabularnewline
HIGH:NONE-HIGH:GOOD & -13.511 & -24.289 & -2.733 & 0.006 \tabularnewline
LOW:NONE-HIGH:GOOD & -6.654 & -17.102 & 3.794 & 0.434 \tabularnewline
HIGH:SCIENTIFIC-HIGH:GOOD & -9.779 & -20.227 & 0.669 & 0.08 \tabularnewline
LOW:SCIENTIFIC-HIGH:GOOD & -0.245 & -11.708 & 11.219 & 1 \tabularnewline
HIGH:NONE-LOW:GOOD & 8.91 & -1.489 & 19.308 & 0.136 \tabularnewline
LOW:NONE-LOW:GOOD & 15.767 & 5.71 & 25.823 & 0 \tabularnewline
HIGH:SCIENTIFIC-LOW:GOOD & 12.642 & 2.585 & 22.698 & 0.006 \tabularnewline
LOW:SCIENTIFIC-LOW:GOOD & 22.176 & 11.068 & 33.283 & 0 \tabularnewline
LOW:NONE-HIGH:NONE & 6.857 & -3.383 & 17.097 & 0.377 \tabularnewline
HIGH:SCIENTIFIC-HIGH:NONE & 3.732 & -6.508 & 13.972 & 0.894 \tabularnewline
LOW:SCIENTIFIC-HIGH:NONE & 13.266 & 1.992 & 24.54 & 0.012 \tabularnewline
HIGH:SCIENTIFIC-LOW:NONE & -3.125 & -13.018 & 6.768 & 0.94 \tabularnewline
LOW:SCIENTIFIC-LOW:NONE & 6.409 & -4.551 & 17.369 & 0.531 \tabularnewline
LOW:SCIENTIFIC-HIGH:SCIENTIFIC & 9.534 & -1.426 & 20.494 & 0.125 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77025&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]LOW-HIGH[/C][C]-2.569[/C][C]-6.706[/C][C]1.568[/C][C]0.22[/C][/ROW]
[ROW][C]NONE-GOOD[/C][C]2.151[/C][C]-3.862[/C][C]8.164[/C][C]0.67[/C][/ROW]
[ROW][C]SCIENTIFIC-GOOD[/C][C]5.787[/C][C]-0.385[/C][C]11.959[/C][C]0.071[/C][/ROW]
[ROW][C]SCIENTIFIC-NONE[/C][C]3.636[/C][C]-2.435[/C][C]9.706[/C][C]0.33[/C][/ROW]
[ROW][C]LOW:GOOD-HIGH:GOOD[/C][C]-22.421[/C][C]-33.024[/C][C]-11.817[/C][C]0[/C][/ROW]
[ROW][C]HIGH:NONE-HIGH:GOOD[/C][C]-13.511[/C][C]-24.289[/C][C]-2.733[/C][C]0.006[/C][/ROW]
[ROW][C]LOW:NONE-HIGH:GOOD[/C][C]-6.654[/C][C]-17.102[/C][C]3.794[/C][C]0.434[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-HIGH:GOOD[/C][C]-9.779[/C][C]-20.227[/C][C]0.669[/C][C]0.08[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-HIGH:GOOD[/C][C]-0.245[/C][C]-11.708[/C][C]11.219[/C][C]1[/C][/ROW]
[ROW][C]HIGH:NONE-LOW:GOOD[/C][C]8.91[/C][C]-1.489[/C][C]19.308[/C][C]0.136[/C][/ROW]
[ROW][C]LOW:NONE-LOW:GOOD[/C][C]15.767[/C][C]5.71[/C][C]25.823[/C][C]0[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-LOW:GOOD[/C][C]12.642[/C][C]2.585[/C][C]22.698[/C][C]0.006[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-LOW:GOOD[/C][C]22.176[/C][C]11.068[/C][C]33.283[/C][C]0[/C][/ROW]
[ROW][C]LOW:NONE-HIGH:NONE[/C][C]6.857[/C][C]-3.383[/C][C]17.097[/C][C]0.377[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-HIGH:NONE[/C][C]3.732[/C][C]-6.508[/C][C]13.972[/C][C]0.894[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-HIGH:NONE[/C][C]13.266[/C][C]1.992[/C][C]24.54[/C][C]0.012[/C][/ROW]
[ROW][C]HIGH:SCIENTIFIC-LOW:NONE[/C][C]-3.125[/C][C]-13.018[/C][C]6.768[/C][C]0.94[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-LOW:NONE[/C][C]6.409[/C][C]-4.551[/C][C]17.369[/C][C]0.531[/C][/ROW]
[ROW][C]LOW:SCIENTIFIC-HIGH:SCIENTIFIC[/C][C]9.534[/C][C]-1.426[/C][C]20.494[/C][C]0.125[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77025&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77025&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
	diff	lwr	upr	p adj
LOW-HIGH	-2.569	-6.706	1.568	0.22
NONE-GOOD	2.151	-3.862	8.164	0.67
SCIENTIFIC-GOOD	5.787	-0.385	11.959	0.071
SCIENTIFIC-NONE	3.636	-2.435	9.706	0.33
LOW:GOOD-HIGH:GOOD	-22.421	-33.024	-11.817	0
HIGH:NONE-HIGH:GOOD	-13.511	-24.289	-2.733	0.006
LOW:NONE-HIGH:GOOD	-6.654	-17.102	3.794	0.434
HIGH:SCIENTIFIC-HIGH:GOOD	-9.779	-20.227	0.669	0.08
LOW:SCIENTIFIC-HIGH:GOOD	-0.245	-11.708	11.219	1
HIGH:NONE-LOW:GOOD	8.91	-1.489	19.308	0.136
LOW:NONE-LOW:GOOD	15.767	5.71	25.823	0
HIGH:SCIENTIFIC-LOW:GOOD	12.642	2.585	22.698	0.006
LOW:SCIENTIFIC-LOW:GOOD	22.176	11.068	33.283	0
LOW:NONE-HIGH:NONE	6.857	-3.383	17.097	0.377
HIGH:SCIENTIFIC-HIGH:NONE	3.732	-6.508	13.972	0.894
LOW:SCIENTIFIC-HIGH:NONE	13.266	1.992	24.54	0.012
HIGH:SCIENTIFIC-LOW:NONE	-3.125	-13.018	6.768	0.94
LOW:SCIENTIFIC-LOW:NONE	6.409	-4.551	17.369	0.531
LOW:SCIENTIFIC-HIGH:SCIENTIFIC	9.534	-1.426	20.494	0.125

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	5	1.888	0.106
	79

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 5 & 1.888 & 0.106 \tabularnewline
  & 79 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=77025&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]5[/C][C]1.888[/C][C]0.106[/C][/ROW]
[ROW][C] [/C][C]79[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=77025&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=77025&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
	Df	F value	Pr(>F)
Group	5	1.888	0.106
	79

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Figure 3

PNG link

Postscript link

PDF link

Figure 4

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 3 ; par2 = 2 ; par3 = 1 ; par4 = TRUE ;

Parameters (R input):

par1 = 3 ; par2 = 2 ; par3 = 1 ; 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$coefficients)){
a<-table.element(a, round(lmout$coefficients[i], digits=3),,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$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[i], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[i], digits=3),,FALSE)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$'Df'[i+1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[i+1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[i+1], digits=3),,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',cex.axis=0.7 )
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')
par(mai=c(1,1.5,1,1))
layout(matrix(c(1,2,1,2,3,3,3,3), 2,4))
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,round(thsd[[nt]][i,j], digits=3), 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,round(lt.lmxdf[[i]][1], digits=3), 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code