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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationFri, 14 Nov 2014 16:45:01 +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/14/t1415983516mkz4ai89uptmpef.htm/, Retrieved Sun, 19 May 2024 14:09:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=254837, Retrieved Sun, 19 May 2024 14:09:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact129

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [One way with a la...] [2014-11-14 16:45:01] [a9208f4f8d3b118336aae915785f2bd9] [Current]
- R PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 11:54:20] [f4fa611074bbaf9f95df1d3763dcf0c9]
- RM      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [q1] [2014-11-17 13:59:10] [28d8d4970d1fe958afe5095d11be2ba2]
- R PD    [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 16:45:23] [36d5a1ef8623188899b128e7cf6a3930]
- R  D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 17:12:19] [36d5a1ef8623188899b128e7cf6a3930]
- R  D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 17:12:58] [36d5a1ef8623188899b128e7cf6a3930]
- R  D      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 17:16:16] [36d5a1ef8623188899b128e7cf6a3930]
- R  D        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 18:03:27] [36d5a1ef8623188899b128e7cf6a3930]
- R  D          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 19:01:20] [36d5a1ef8623188899b128e7cf6a3930]
- R PD            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 23:25:39] [36d5a1ef8623188899b128e7cf6a3930]
- R P     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 21:05:37] [b818c7d3cfa638eaede87011ae551f78]
-           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 21:13:57] [b818c7d3cfa638eaede87011ae551f78]
-    D        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-17 21:36:33] [b818c7d3cfa638eaede87011ae551f78]
- R       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-24 20:35:33] [b818c7d3cfa638eaede87011ae551f78]
- R       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2014-11-24 20:48:00] [b818c7d3cfa638eaede87011ae551f78]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1	3	67	3	36	76
2	1	86	6	36	88
3	3	86	8	56	94
4	3	103	8	48	90
5	3	74	7	32	73
6	1	63	5	44	68
7	2	82	7	39	80
8	3	93	8	34	86
9	3	77	9	41	86
10	2	111	9	50	91
11	1	71	3	39	79
12	1	103	9	62	96
13	3	89	7	52	92
14	3	75	9	37	72
15	3	88	8	50	96
16	1	84	6	41	70
17	3	85	7	55	86
18	3	70	8	41	87
19	3	104	9	56	88
20	2	88	7	39	79
21	2	77	6	52	90
22	1	77	8	46	95
23	1	72	7	44	85
24	3	70	7	48	'NA'
25	3	83	8	41	90
26	1	110	9	50	115
27	1	91	9	50	84
28	3	80	7	44	79
29	1	91	4	52	94
30	2	86	7	54	97
31	3	85	7	44	86
32	2	107	9	52	111
33	2	93	7	37	87

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=254837&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]1 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=254837&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=254837&T=0

As an alternative you can also use a QR Code:  
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 time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net






ANOVA Model
R1 ~ MA
means84.87.2-1.737

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
R1  ~  MA \tabularnewline
means & 84.8 & 7.2 & -1.737 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=254837&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]R1  ~  MA[/C][/ROW]
[ROW][C]means[/C][C]84.8[/C][C]7.2[/C][C]-1.737[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=254837&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=254837&T=1

As an alternative you can also use a QR Code:  
QR Code


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

ANOVA Model
R1 ~ MA
means84.87.2-1.737






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MA2395.705197.8521.2620.298
Residuals304702.537156.751 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MA & 2 & 395.705 & 197.852 & 1.262 & 0.298 \tabularnewline
Residuals & 30 & 4702.537 & 156.751 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=254837&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]MA[/C][C]2[/C][C]395.705[/C][C]197.852[/C][C]1.262[/C][C]0.298[/C][/ROW]
[ROW][C]Residuals[/C][C]30[/C][C]4702.537[/C][C]156.751[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=254837&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=254837&T=2

As an alternative you can also use a QR Code:  
QR Code


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

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MA2395.705197.8521.2620.298
Residuals304702.537156.751






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-17.2-8.01122.4110.482
3-1-1.737-14.1810.7050.937
3-2-8.938-22.9255.050.272

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 7.2 & -8.011 & 22.411 & 0.482 \tabularnewline
3-1 & -1.737 & -14.18 & 10.705 & 0.937 \tabularnewline
3-2 & -8.938 & -22.925 & 5.05 & 0.272 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=254837&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]7.2[/C][C]-8.011[/C][C]22.411[/C][C]0.482[/C][/ROW]
[ROW][C]3-1[/C][C]-1.737[/C][C]-14.18[/C][C]10.705[/C][C]0.937[/C][/ROW]
[ROW][C]3-2[/C][C]-8.938[/C][C]-22.925[/C][C]5.05[/C][C]0.272[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=254837&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=254837&T=3

As an alternative you can also use a QR Code:  
QR Code


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

Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-17.2-8.01122.4110.482
3-1-1.737-14.1810.7050.937
3-2-8.938-22.9255.050.272






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.4310.654
30 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.431 & 0.654 \tabularnewline
  & 30 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=254837&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]0.431[/C][C]0.654[/C][/ROW]
[ROW][C] [/C][C]30[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=254837&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=254837&T=4

As an alternative you can also use a QR Code:  
QR Code


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

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.4310.654
30


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 3 ; par2 = 2 ; par3 = TRUE ;
Parameters (R input):
par1 = 3 ; par2 = 2 ; par3 = TRUE ;
R code (references can be found in the software module):
par3 <- 'FALSE'
par2 <- '2'
par1 <- '3'
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){
'Tukey Plot'
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
}
if(intercept==TRUE){
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<-leveneTest(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')