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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 computationSun, 10 Nov 2013 11:27:14 -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/2013/Nov/10/t13841008523wd94jyoxo7unln.htm/, Retrieved Mon, 06 May 2024 16:40:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=223730, Retrieved Mon, 06 May 2024 16:40:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82

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  D            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [Computation 3] [2013-11-10 16:27:14] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1	3	1
2	1	2
3	3	2
4	3	3
5	3	1
6	1	1
7	2	2
8	3	2
9	3	1
10	2	3
11	1	1
12	1	3
13	3	2
14	3	1
15	3	2
16	1	2
17	3	2
18	3	1
19	3	3
20	2	2
21	2	1
22	1	1
23	1	1
24	3	1
25	3	2
26	1	3
27	1	2
28	3	2
29	1	2
30	2	2
31	3	2
32	2	3
33	2	2
34	3	2
35	1	2
36	3	1
37	3	2
38	1	2
39	2	3
40	1	1
41	1	2
42	2	1
43	1	2
44	1	3
45	3	2
46	2	2
47	2	3
48	1	1
49	1	1
50	1	2
51	1	2
52	2	1
53	3	3
54	3	1
55	3	1
56	3	1
57	2	2
58	2	2
59	2	2
60	3	1
61	3	1
62	2	2
63	2	2
64	2	2
65	3	2
66	2	2
67	3	3
68	3	2
69	2	1
70	2	1
71	3	2
72	3	2
73	2	2
74	1	3
75	2	2
76	2	2
77	2	3
78	2	1
79	3	2
80	2	1
81	3	2
82	1	2
83	3	2
84	3	2
85	1	3
86	1	3
87	2	2
88	1	2
89	3	2
90	1	2
91	3	2
92	2	2
93	3	1
94	1	1
95	1	1
96	2	3
97	3	2
98	1	2
99	3	2
100	1	2
101	2	1
102	2	3
103	3	2
104	3	2
105	1	1
106	3	2
107	3	3
108	3	2
109	2	1
110	3	1
111	3	1
112	3	1
113	3	2
114	1	2
115	3	3
116	1	2
117	3	2
118	3	2
119	3	3
120	2	1
121	3	3
122	2	1
123	3	2
124	2	2
125	2	2
126	2	1
127	3	2
128	3	1
129	1	3
130	1	3
131	3	2
132	3	2
133	2	1
134	1	3
135	3	2
136	3	1
137	3	1
138	2	1
139	1	1
140	3	2
141	3	3
142	3	2
143	2	2
144	3	1
145	2	2
146	3	1
147	3	1
148	2	2
149	3	2
150	3	2
151	3	2
152	3	3
153	1	3
154	3	3
155	2	2
156	3	2
157	3	2
158	1	1
159	1	2
160	3	1

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223730&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223730&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223730&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 time3 seconds
R Server'George Udny Yule' @ yule.wessa.net






ANOVA Model
V1 ~ V2
means71.057.85915.345

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
V1  ~  V2 \tabularnewline
means & 71.05 & 7.859 & 15.345 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223730&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]V1  ~  V2[/C][/ROW]
[ROW][C]means[/C][C]71.05[/C][C]7.859[/C][C]15.345[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223730&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223730&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
V1 ~ V2
means71.057.85915.345






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
V226324.3063162.1531.4820.23
Residuals157334995.6942133.731 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
V2 & 2 & 6324.306 & 3162.153 & 1.482 & 0.23 \tabularnewline
Residuals & 157 & 334995.694 & 2133.731 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223730&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]V2[/C][C]2[/C][C]6324.306[/C][C]3162.153[/C][C]1.482[/C][C]0.23[/C][/ROW]
[ROW][C]Residuals[/C][C]157[/C][C]334995.694[/C][C]2133.731[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223730&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223730&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)
V226324.3063162.1531.4820.23
Residuals157334995.6942133.731






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-17.859-16.01931.7370.717
3-115.345-6.00636.6950.208
3-27.486-13.21928.190.669

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 7.859 & -16.019 & 31.737 & 0.717 \tabularnewline
3-1 & 15.345 & -6.006 & 36.695 & 0.208 \tabularnewline
3-2 & 7.486 & -13.219 & 28.19 & 0.669 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223730&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]7.859[/C][C]-16.019[/C][C]31.737[/C][C]0.717[/C][/ROW]
[ROW][C]3-1[/C][C]15.345[/C][C]-6.006[/C][C]36.695[/C][C]0.208[/C][/ROW]
[ROW][C]3-2[/C][C]7.486[/C][C]-13.219[/C][C]28.19[/C][C]0.669[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223730&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223730&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
2-17.859-16.01931.7370.717
3-115.345-6.00636.6950.208
3-27.486-13.21928.190.669






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group22.3310.101
157 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 2.331 & 0.101 \tabularnewline
  & 157 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223730&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]2.331[/C][C]0.101[/C][/ROW]
[ROW][C] [/C][C]157[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223730&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223730&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)
Group22.3310.101
157


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; 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')