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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 computationTue, 29 Nov 2011 09:45:21 -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/Nov/29/t1322577933kvqve5kd3hpbbxc.htm/, Retrieved Thu, 25 Apr 2024 15:02:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=148448, Retrieved Thu, 25 Apr 2024 15:02:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74

Tree of Dependent Computations

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]
- RM          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [IQ and Mothers Age] [2011-11-21 16:34:08] [98fd0e87c3eb04e0cc2efde01dbafab6]
- R PD          [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2011-11-24 12:30:07] [483074838c7eb9e0ff7f7d3e3c3f8586]
-   PD            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2011-11-29 14:44:01] [483074838c7eb9e0ff7f7d3e3c3f8586]
-   P                 [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2011-11-29 14:45:21] [7cb3389c165bc116919f8c93cbf97eb6] [Current]
-    D                  [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2011-11-29 15:18:47] [483074838c7eb9e0ff7f7d3e3c3f8586]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6	1	'low'	5	44	68
48	1	'low'	9	30	84
55	3	'low'	6	46	81
78	2	'low'	5	52	91
80	2	'low'	3	44	88
70	2	'low'	5	55	70
18	3	'low'	8	41	87
126	2	'low'	4	39	80
11	1	'low'	3	39	79
54	3	'low'	7	57	102
56	3	'low'	9	54	97
111	3	'low'	9	60	97
146	3	'low'	6	59	96
23	1	'low'	7	44	85
158	1	'low'	8	56	102
5	3	'low'	7	32	73
137	3	'low'	9	60	86
138	2	'low'	8	48	90
14	3	'low'	9	37	72
40	1	'low'	8	31	75
52	2	'low'	9	48	78
133	2	'low'	8	43	90
160	3	'low'	4	51	96
105	1	'low'	9	54	85
109	2	'low'	8	57	97
9	3	'low'	9	41	86
21	2	'low'	6	52	90
22	1	'low'	8	46	95
93	3	'low'	7	41	77
101	2	'low'	7	55	95
110	3	'low'	5	39	112
136	3	'low'	8	43	86
120	2	'low'	6	46	77
122	2	'low'	7	44	75
42	2	'low'	6	49	95
69	2	'low'	7	55	86
147	3	'low'	8	46	95
28	3	'Medium'	7	44	79
66	2	'Medium'	3	34	90
82	1	'Medium'	8	59	90
149	3	'Medium'	8	50	95
58	2	'Medium'	8	48	97
81	3	'Medium'	7	46	97
100	1	'Medium'	7	54	107
104	3	'Medium'	8	44	101
114	1	'Medium'	8	50	94
7	2	'Medium'	7	39	80
43	1	'Medium'	5	42	80
90	1	'Medium'	9	52	97
25	3	'Medium'	8	41	90
65	3	'Medium'	8	46	95
140	3	'Medium'	7	43	86
148	2	'Medium'	7	57	100
156	3	'Medium'	8	59	100
16	1	'Medium'	6	41	70
35	1	'Medium'	10	50	87
37	3	'Medium'	6	50	88
45	3	'Medium'	8	41	68
57	2	'Medium'	9	48	75
127	3	'Medium'	8	37	87
17	3	'Medium'	7	55	86
31	3	'Medium'	7	44	86
46	2	'Medium'	5	30	94
75	2	'Medium'	6	54	92
76	2	'Medium'	9	55	97
88	1	'Medium'	8	59	103
91	3	'Medium'	4	48	85
103	3	'Medium'	8	59	115
131	3	'Medium'	5	39	86
155	2	'Medium'	5	48	87
2	1	'Medium'	6	36	88
3	3	'Medium'	8	56	94
30	2	'Medium'	7	54	97
38	1	'Medium'	9	52	82
51	1	'Medium'	8	66	98
135	3	'Medium'	8	55	94
157	3	'Medium'	9	60	98
34	3	'Medium'	9	52	98
41	1	'Medium'	6	36	94
79	3	'Medium'	8	32	68
123	3	'Medium'	9	34	92
132	3	'Medium'	9	36	85
145	2	'Medium'	3	56	98
15	3	'Medium'	8	50	96
20	2	'Medium'	7	39	79
13	3	'Medium'	7	52	92
92	2	'Medium'	6	44	75
99	3	'Medium'	8	46	106
108	3	'Medium'	7	44	95
87	2	'Medium'	8	56	100
27	1	'Medium'	9	50	84
29	1	'Medium'	4	52	94
63	2	'Medium'	7	62	95
68	3	'Medium'	10	52	92
89	3	'Medium'	8	57	94
124	2	'Medium'	6	30	78
8	3	'Medium'	8	34	86
33	2	'Medium'	7	37	87
62	2	'Medium'	8	58	95
83	3	'Medium'	10	46	101
84	3	'Medium'	9	46	94
106	3	'Medium'	9	52	90
125	2	'Medium'	10	50	106
44	1	'Medium'	8	37	95
47	2	'Medium'	6	52	88
102	2	'Medium'	9	54	107
53	3	'High'	7	43	109
154	3	'High'	7	41	88
39	2	'High'	9	55	111
77	2	'High'	8	46	102
115	3	'High'	8	39	103
141	3	'High'	6	39	91
85	1	'High'	10	54	101
4	3	'High'	8	48	90
12	1	'High'	9	62	96
134	1	'High'	9	50	101
19	3	'High'	9	56	88
86	1	'High'	9	66	109
107	3	'High'	10	66	115
32	2	'High'	9	52	111
153	1	'High'	10	59	115
26	1	'High'	9	50	115
10	2	'High'	9	50	91
67	3	'High'	8	66	107
119	3	'High'	7	58	111
121	3	'High'	6	43	88

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148448&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148448&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148448&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'Gertrude Mary Cox' @ cox.wessa.net






ANOVA Model
WISCRY7V ~ MVRBIQ0
means102.1-10.81-15.127

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
WISCRY7V  ~  MVRBIQ0 \tabularnewline
means & 102.1 & -10.81 & -15.127 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148448&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]WISCRY7V  ~  MVRBIQ0[/C][/ROW]
[ROW][C]means[/C][C]102.1[/C][C]-10.81[/C][C]-15.127[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148448&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148448&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
WISCRY7V ~ MVRBIQ0
means102.1-10.81-15.127






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MVRBIQ023001.3811500.69116.2530
Residuals12311356.97692.333 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MVRBIQ0 & 2 & 3001.381 & 1500.691 & 16.253 & 0 \tabularnewline
Residuals & 123 & 11356.976 & 92.333 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148448&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]MVRBIQ0[/C][C]2[/C][C]3001.381[/C][C]1500.691[/C][C]16.253[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]123[/C][C]11356.976[/C][C]92.333[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148448&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148448&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)
MVRBIQ023001.3811500.69116.2530
Residuals12311356.97692.333






Tukey Honest Significant Difference Comparisons
difflwruprp adj
Medium-High-10.81-16.599-5.0210
low-High-15.127-21.454-8.80
low-Medium-4.317-8.9620.3280.074

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
Medium-High & -10.81 & -16.599 & -5.021 & 0 \tabularnewline
low-High & -15.127 & -21.454 & -8.8 & 0 \tabularnewline
low-Medium & -4.317 & -8.962 & 0.328 & 0.074 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148448&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]Medium-High[/C][C]-10.81[/C][C]-16.599[/C][C]-5.021[/C][C]0[/C][/ROW]
[ROW][C]low-High[/C][C]-15.127[/C][C]-21.454[/C][C]-8.8[/C][C]0[/C][/ROW]
[ROW][C]low-Medium[/C][C]-4.317[/C][C]-8.962[/C][C]0.328[/C][C]0.074[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148448&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148448&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
Medium-High-10.81-16.599-5.0210
low-High-15.127-21.454-8.80
low-Medium-4.317-8.9620.3280.074






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.5620.571
123 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.562 & 0.571 \tabularnewline
  & 123 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=148448&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]0.562[/C][C]0.571[/C][/ROW]
[ROW][C] [/C][C]123[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=148448&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=148448&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)
Group20.5620.571
123


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 6 ; par2 = 3 ; par3 = TRUE ;
Parameters (R input):
par1 = 6 ; par2 = 3 ; 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()
}
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<-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')