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Author's title

Author

*Unverified author*

R Software Module

Ian.Hollidayrwasp_One Factor ANOVA.wasp

Title produced by software

One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)

Date of computation

Thu, 25 Nov 2010 11:45:52 +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/Nov/25/t1290685539c2s7wymgck6lc42.htm/, Retrieved Fri, 07 Nov 2025 03:46:20 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=100815, Retrieved Fri, 07 Nov 2025 03:46:20 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

582

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

-     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA wit...] [2009-11-29 13:09:19] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA for...] [2009-12-01 13:05:10] [3fdd735c61ad38cbc9b3393dc997cdb7]
- R P     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [CARE date with Tu...] [2009-12-01 18:33:48] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [CARE Data with Tu...] [2010-11-23 12:09:38] [3fdd735c61ad38cbc9b3393dc997cdb7]
-   PD          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [compendium 8.2] [2010-11-25 11:45:52] [15eab2c43e9c2ac9cd9b0628e098f0c4] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

1	86	6	36	88
3	86	8	56	94
3	103	8	48	90
3	74	7	32	73
1	63	5	44	68
2	82	7	39	80
3	93	8	34	86
3	77	9	41	86
2	111	9	50	91
1	71	3	39	79
1	103	9	62	96
3	89	7	52	92
3	75	9	37	72
3	88	8	50	96
1	84	6	41	70
3	85	7	55	86
3	70	8	41	87
3	104	9	56	88
2	88	7	39	79
2	77	6	52	90
1	77	8	46	95
1	72	7	44	85
3	83	8	41	90
1	110	9	50	115
1	91	9	50	84
3	80	7	44	79
1	91	4	52	94
2	86	7	54	97
3	85	7	44	86
2	107	9	52	111
2	93	7	37	87
3	87	9	52	98
1	84	10	50	87
3	73	5	36	68
3	84	6	50	88
1	86	9	52	82
2	99	9	55	111
1	75	8	31	75
1	87	6	36	94
2	79	6	49	95
1	82	5	42	80
1	95	8	37	95
3	84	8	41	68
2	85	5	30	94
2	95	6	52	88
1	63	9	30	84
1	85	4	44	101
1	86	8	66	98
2	75	9	48	78
3	98	7	43	109
3	71	7	57	102
3	63	6	46	81
3	71	9	54	97
2	84	9	48	75
2	81	8	48	97
3	79	6	62	101
3	63	10	58	101
2	93	8	58	95
2	92	7	62	95
3	83	8	46	95
2	80	3	34	90
3	111	8	66	107
3	92	10	52	92
2	79	7	55	86
2	69	5	55	70
3	83	10	57	95
3	80	5	56	96
2	91	8	55	91
1	97	9	56	87
2	85	6	54	92
2	85	9	55	97
2	99	8	46	102
2	67	5	52	91
3	87	8	32	68
2	68	3	44	88
3	81	7	46	97
1	80	8	59	90
3	93	10	46	101
3	93	9	46	94
1	102	10	54	101
1	104	9	66	109
2	90	8	56	100
1	85	8	59	103
3	92	8	57	94
1	82	9	52	97
3	85	4	48	85
2	89	6	44	75
3	77	7	41	77
1	79	4	50	87
1	76	9	48	78
2	101	7	48	108
3	81	8	59	97
3	89	8	46	106
1	81	7	54	107
2	77	7	55	95
2	95	9	54	107
3	85	8	59	115
3	81	8	44	101
1	76	9	54	85
3	93	9	52	90
3	104	10	66	115
3	89	7	44	95
2	76	8	57	97
3	77	5	39	112
3	71	9	60	97
3	79	8	45	77
3	89	7	41	90
1	81	8	50	94
3	99	8	39	103
1	81	7	43	77
3	84	6	48	98
3	85	7	37	90
3	111	7	58	111
2	78	6	46	77
3	111	6	43	88
2	78	7	44	75
3	87	9	34	92
2	92	6	30	78
2	93	10	50	106
2	70	4	39	80
3	84	8	37	87
3	75	7	55	92
3	85	5	39	86
3	87	9	36	85
2	75	8	43	90
1	103	9	50	101
3	86	8	55	94
3	77	8	43	86
3	74	9	60	86
2	74	8	48	90
1	76	9	30	75
3	83	7	43	86
3	101	6	39	91
3	83	8	52	97
2	92	6	39	91
3	74	5	39	70
2	87	3	56	98
3	71	6	59	96
3	79	8	46	95
2	83	7	57	100
3	80	8	50	95
3	90	6	54	97
3	80	9	50	97
3	96	9	60	92
1	109	10	59	115
3	98	7	41	88
2	85	5	48	87
3	83	8	59	100
3	86	9	60	98
1	72	8	56	102
3	75	4	51	96

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	'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100815&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100815&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100815&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	'George Udny Yule' @ 72.249.76.132

ANOVA Model
WISCRY7V ~ MOMAGE
means	90.8	0.248	1.227

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
WISCRY7V  ~  MOMAGE \tabularnewline
means & 90.8 & 0.248 & 1.227 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100815&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]WISCRY7V  ~  MOMAGE[/C][/ROW]
[ROW][C]means[/C][C]90.8[/C][C]0.248[/C][C]1.227[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100815&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100815&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
WISCRY7V ~ MOMAGE
means	90.8	0.248	1.227

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
MOMAGE	2	46.165	23.083	0.201	0.818
Residuals	148	16993.451	114.821

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MOMAGE & 2 & 46.165 & 23.083 & 0.201 & 0.818 \tabularnewline
Residuals & 148 & 16993.451 & 114.821 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100815&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]MOMAGE[/C][C]2[/C][C]46.165[/C][C]23.083[/C][C]0.201[/C][C]0.818[/C][/ROW]
[ROW][C]Residuals[/C][C]148[/C][C]16993.451[/C][C]114.821[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100815&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100815&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)
MOMAGE	2	46.165	23.083	0.201	0.818
Residuals	148	16993.451	114.821

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	0.248	-5.559	6.054	0.994
3-1	1.227	-3.977	6.431	0.842
3-2	0.979	-3.922	5.881	0.884

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 0.248 & -5.559 & 6.054 & 0.994 \tabularnewline
3-1 & 1.227 & -3.977 & 6.431 & 0.842 \tabularnewline
3-2 & 0.979 & -3.922 & 5.881 & 0.884 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100815&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]2-1[/C][C]0.248[/C][C]-5.559[/C][C]6.054[/C][C]0.994[/C][/ROW]
[ROW][C]3-1[/C][C]1.227[/C][C]-3.977[/C][C]6.431[/C][C]0.842[/C][/ROW]
[ROW][C]3-2[/C][C]0.979[/C][C]-3.922[/C][C]5.881[/C][C]0.884[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100815&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100815&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
2-1	0.248	-5.559	6.054	0.994
3-1	1.227	-3.977	6.431	0.842
3-2	0.979	-3.922	5.881	0.884

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	2	1.297	0.276
	148

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 1.297 & 0.276 \tabularnewline
  & 148 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=100815&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]2[/C][C]1.297[/C][C]0.276[/C][/ROW]
[ROW][C] [/C][C]148[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=100815&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=100815&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	2	1.297	0.276
	148

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 5 ; par2 = 1 ; par3 = TRUE ;

Parameters (R input):

par1 = 5 ; par2 = 1 ; par3 = TRUE ;

R code (references can be found in the software module):

cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
xdf<-data.frame(x1,f1)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
names(xdf)<-c('Response', 'Treatment')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment - 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment, data = xdf) )
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, paste(V1, ' ~ ', V2), length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmxdf$coefficients)){
a<-table.element(a, round(lmxdf$coefficients[i], digits=3),,FALSE)
}
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,'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)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], 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(Response ~ Treatment, data=xdf, xlab=V2, ylab=V1)
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
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(i in 1:length(rownames(thsd[[1]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[1]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[1]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
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(lmxdf)
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