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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 computationMon, 28 Nov 2011 06:13:57 -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/28/t1322478896dxwsnqf20dzhp9j.htm/, Retrieved Fri, 26 Apr 2024 03:55:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147647, Retrieved Fri, 26 Apr 2024 03:55:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

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)] [Mother's VIQ and ...] [2011-11-28 11:13:57] [c3a1a4881a39c19cd8024386f5bb4813] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6	1	1	5	44	68
48	1	1	9	30	84
55	3	1	6	46	81
61	3	1	10	58	101
78	2	1	5	52	91
80	2	1	3	44	88
70	2	1	5	55	70
18	3	1	8	41	87
126	2	1	4	39	80
11	1	1	3	39	79
54	3	1	7	57	102
56	3	1	9	54	97
111	3	1	9	60	97
146	3	1	6	59	96
23	1	1	7	44	85
158	1	1	8	56	102
36	3	1	5	36	68
5	3	1	7	32	73
137	3	1	9	60	86
138	2	1	8	48	90
144	3	1	5	39	70
14	3	1	9	37	72
40	1	1	8	31	75
52	2	1	9	48	78
128	3	1	7	55	92
133	2	1	8	43	90
160	3	1	4	51	96
95	1	1	9	48	78
105	1	1	9	54	85
109	2	1	8	57	97
139	1	1	9	30	75
9	3	1	9	41	86
21	2	1	6	52	90
22	1	1	8	46	95
93	3	1	7	41	77
101	2	1	7	55	95
110	3	1	5	39	112
136	3	1	8	43	86
120	2	1	6	46	77
122	2	1	7	44	75
42	2	1	6	49	95
60	3	1	6	62	101
69	2	1	7	55	86
94	1	1	4	50	87
112	3	1	8	45	77
147	3	1	8	46	95
28	3	2	7	44	79
66	2	2	3	34	90
72	3	2	5	56	96
82	1	2	8	59	90
149	3	2	8	50	95
151	3	2	9	50	97
58	2	2	8	48	97
81	3	2	7	46	97
97	3	2	8	59	97
100	1	2	7	54	107
104	3	2	8	44	101
114	1	2	8	50	94
116	1	2	7	43	77
7	2	2	7	39	80
43	1	2	5	42	80
90	1	2	9	52	97
25	3	2	8	41	90
65	3	2	8	46	95
71	3	2	10	57	95
140	3	2	7	43	86
142	3	2	8	52	97
148	2	2	7	57	100
156	3	2	8	59	100
16	1	2	6	41	70
35	1	2	10	50	87
37	3	2	6	50	88
45	3	2	8	41	68
57	2	2	9	48	75
117	3	2	6	48	98
127	3	2	8	37	87
17	3	2	7	55	86
31	3	2	7	44	86
46	2	2	5	30	94
50	1	2	4	44	101
75	2	2	6	54	92
76	2	2	9	55	97
88	1	2	8	59	103
91	3	2	4	48	85
103	3	2	8	59	115
118	3	2	7	37	90
131	3	2	5	39	86
155	2	2	5	48	87
2	1	2	6	36	88
3	3	2	8	56	94
30	2	2	7	54	97
38	1	2	9	52	82
51	1	2	8	66	98
135	3	2	8	55	94
157	3	2	9	60	98
34	3	2	9	52	98
41	1	2	6	36	94
79	3	2	8	32	68
123	3	2	9	34	92
132	3	2	9	36	85
145	2	2	3	56	98
15	3	2	8	50	96
20	2	2	7	39	79
13	3	2	7	52	92
92	2	2	6	44	75
99	3	2	8	46	106
108	3	2	7	44	95
113	3	2	7	41	90
87	2	2	8	56	100
150	3	2	6	54	97
27	1	2	9	50	84
29	1	2	4	52	94
73	2	2	8	55	91
63	2	2	7	62	95
68	3	2	10	52	92
89	3	2	8	57	94
124	2	2	6	30	78
143	2	2	6	39	91
8	3	2	8	34	86
33	2	2	7	37	87
62	2	2	8	58	95
83	3	2	10	46	101
84	3	2	9	46	94
106	3	2	9	52	90
125	2	2	10	50	106
44	1	2	8	37	95
47	2	2	6	52	88
102	2	2	9	54	107
152	3	3	9	60	92
74	1	3	9	56	87
53	3	3	7	43	109
154	3	3	7	41	88
39	2	3	9	55	111
77	2	3	8	46	102
115	3	3	8	39	103
96	2	3	7	48	108
141	3	3	6	39	91
85	1	3	10	54	101
4	3	3	8	48	90
12	1	3	9	62	96
134	1	3	9	50	101
19	3	3	9	56	88
86	1	3	9	66	109
107	3	3	10	66	115
32	2	3	9	52	111
153	1	3	10	59	115
26	1	3	9	50	115
10	2	3	9	50	91
67	3	3	8	66	107
119	3	3	7	58	111
121	3	3	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'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=147647&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=147647&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147647&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
MC30VRB ~ MVRBIQ0
means46.9780.95.5

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
MC30VRB  ~  MVRBIQ0 \tabularnewline
means & 46.978 & 0.9 & 5.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147647&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]MC30VRB  ~  MVRBIQ0[/C][/ROW]
[ROW][C]means[/C][C]46.978[/C][C]0.9[/C][C]5.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147647&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147647&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
MC30VRB ~ MVRBIQ0
means46.9780.95.5






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MVRBIQ02496.489248.2443.5360.032
Residuals14810391.49870.213 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MVRBIQ0 & 2 & 496.489 & 248.244 & 3.536 & 0.032 \tabularnewline
Residuals & 148 & 10391.498 & 70.213 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147647&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]496.489[/C][C]248.244[/C][C]3.536[/C][C]0.032[/C][/ROW]
[ROW][C]Residuals[/C][C]148[/C][C]10391.498[/C][C]70.213[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147647&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147647&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)
MVRBIQ02496.489248.2443.5360.032
Residuals14810391.49870.213






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-10.9-2.7554.5540.829
3-15.50.43410.5660.03
3-24.6-0.0819.2810.055

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 0.9 & -2.755 & 4.554 & 0.829 \tabularnewline
3-1 & 5.5 & 0.434 & 10.566 & 0.03 \tabularnewline
3-2 & 4.6 & -0.081 & 9.281 & 0.055 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147647&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]0.9[/C][C]-2.755[/C][C]4.554[/C][C]0.829[/C][/ROW]
[ROW][C]3-1[/C][C]5.5[/C][C]0.434[/C][C]10.566[/C][C]0.03[/C][/ROW]
[ROW][C]3-2[/C][C]4.6[/C][C]-0.081[/C][C]9.281[/C][C]0.055[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147647&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147647&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
2-10.9-2.7554.5540.829
3-15.50.43410.5660.03
3-24.6-0.0819.2810.055






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group20.0140.987
148 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.014 & 0.987 \tabularnewline
  & 148 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147647&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]0.014[/C][C]0.987[/C][/ROW]
[ROW][C] [/C][C]148[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147647&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147647&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)
Group20.0140.987
148


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 5 ; par2 = 3 ; par3 = TRUE ;
Parameters (R input):
par1 = 5 ; 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')