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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_One Factor ANOVA.wasp

Title produced by software

One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)

Date of computation

Mon, 28 Nov 2011 09:36:53 -0500

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/28/t1322491050ea26rihoprcrbqa.htm/, Retrieved Tue, 16 Apr 2024 08:25:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147762, Retrieved Tue, 16 Apr 2024 08:25:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

102

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)] [maternal warmth a...] [2011-11-28 14:36:53] [c3a1a4881a39c19cd8024386f5bb4813] [Current]

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Dataseries X:

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Histogram

Boxplots

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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=147762&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=147762&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147762&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

ANOVA Model
WISCRY7V ~ MWARM30
means	87.45	4.811	6.55

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
WISCRY7V  ~  MWARM30 \tabularnewline
means & 87.45 & 4.811 & 6.55 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147762&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]WISCRY7V  ~  MWARM30[/C][/ROW]
[ROW][C]means[/C][C]87.45[/C][C]4.811[/C][C]6.55[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147762&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147762&T=1

As an alternative you can also use a QR Code:

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

ANOVA Model
WISCRY7V ~ MWARM30
means	87.45	4.811	6.55

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
MWARM30	2	958.412	479.206	4.41	0.014
Residuals	148	16081.204	108.657

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MWARM30 & 2 & 958.412 & 479.206 & 4.41 & 0.014 \tabularnewline
Residuals & 148 & 16081.204 & 108.657 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147762&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]MWARM30[/C][C]2[/C][C]958.412[/C][C]479.206[/C][C]4.41[/C][C]0.014[/C][/ROW]
[ROW][C]Residuals[/C][C]148[/C][C]16081.204[/C][C]108.657[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147762&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147762&T=2

As an alternative you can also use a QR Code:

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

ANOVA Statistics
	Df	Sum Sq	Mean Sq	F value	Pr(>F)
MWARM30	2	958.412	479.206	4.41	0.014
Residuals	148	16081.204	108.657

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	4.811	-0.093	9.715	0.056
3-1	6.55	1.098	12.002	0.014
3-2	1.739	-3.091	6.569	0.671

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 4.811 & -0.093 & 9.715 & 0.056 \tabularnewline
3-1 & 6.55 & 1.098 & 12.002 & 0.014 \tabularnewline
3-2 & 1.739 & -3.091 & 6.569 & 0.671 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147762&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]4.811[/C][C]-0.093[/C][C]9.715[/C][C]0.056[/C][/ROW]
[ROW][C]3-1[/C][C]6.55[/C][C]1.098[/C][C]12.002[/C][C]0.014[/C][/ROW]
[ROW][C]3-2[/C][C]1.739[/C][C]-3.091[/C][C]6.569[/C][C]0.671[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147762&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147762&T=3

As an alternative you can also use a QR Code:

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

Tukey Honest Significant Difference Comparisons
	diff	lwr	upr	p adj
2-1	4.811	-0.093	9.715	0.056
3-1	6.55	1.098	12.002	0.014
3-2	1.739	-3.091	6.569	0.671

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	2	0.669	0.514
	148

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 0.669 & 0.514 \tabularnewline
  & 148 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147762&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]0.669[/C][C]0.514[/C][/ROW]
[ROW][C] [/C][C]148[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147762&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147762&T=4

As an alternative you can also use a QR Code:

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

Levenes Test for Homogeneity of Variance
	Df	F value	Pr(>F)
Group	2	0.669	0.514
	148

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 6 ; par2 = 4 ; par3 = TRUE ;

Parameters (R input):

par1 = 6 ; par2 = 4 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code