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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 12:23:09 -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/t13841042109bpuefw62be2nvs.htm/, Retrieved Mon, 06 May 2024 21:27:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=223747, Retrieved Mon, 06 May 2024 21:27:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact72

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 4] [2013-11-10 17:23:09] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

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

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'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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223747&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223747&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223747&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'Herman Ole Andreas Wold' @ wold.wessa.net






ANOVA Model
V1 ~ V2
means78.7140.063-0.905

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
V1  ~  V2 \tabularnewline
means & 78.714 & 0.063 & -0.905 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223747&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]V1  ~  V2[/C][/ROW]
[ROW][C]means[/C][C]78.714[/C][C]0.063[/C][C]-0.905[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223747&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223747&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
means78.7140.063-0.905






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
V2227.50813.7540.0070.993
Residuals153316327.4922067.5 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
V2 & 2 & 27.508 & 13.754 & 0.007 & 0.993 \tabularnewline
Residuals & 153 & 316327.492 & 2067.5 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223747&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]27.508[/C][C]13.754[/C][C]0.007[/C][C]0.993[/C][/ROW]
[ROW][C]Residuals[/C][C]153[/C][C]316327.492[/C][C]2067.5[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223747&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223747&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)
V2227.50813.7540.0070.993
Residuals153316327.4922067.5






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-10.063-20.83120.9581
3-1-0.905-24.38822.5790.995
3-2-0.968-21.86319.9260.993

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 0.063 & -20.831 & 20.958 & 1 \tabularnewline
3-1 & -0.905 & -24.388 & 22.579 & 0.995 \tabularnewline
3-2 & -0.968 & -21.863 & 19.926 & 0.993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223747&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]0.063[/C][C]-20.831[/C][C]20.958[/C][C]1[/C][/ROW]
[ROW][C]3-1[/C][C]-0.905[/C][C]-24.388[/C][C]22.579[/C][C]0.995[/C][/ROW]
[ROW][C]3-2[/C][C]-0.968[/C][C]-21.863[/C][C]19.926[/C][C]0.993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223747&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223747&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
2-10.063-20.83120.9581
3-1-0.905-24.38822.5790.995
3-2-0.968-21.86319.9260.993






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.2230.801
153 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.223 & 0.801 \tabularnewline
  & 153 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=223747&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]0.223[/C][C]0.801[/C][/ROW]
[ROW][C] [/C][C]153[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=223747&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=223747&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)
Group20.2230.801
153


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')