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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, 19 Dec 2017 13:44:06 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/19/t1513687480l3ql5as2ruclyec.htm/, Retrieved Wed, 15 May 2024 08:34:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310324, Retrieved Wed, 15 May 2024 08:34:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact109

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [One-way ANOVA] [2017-12-19 12:44:06] [19616f283b6fb6898d2f08fc009ad795] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
67	5
72	5
74	5
62	5
56	5
66	5
65	5
59	5
61	5
69	5
74	5
69	5
66	5
68	5
58	5
64	5
66	5
57	5
68	5
62	5
59	5
73	5
61	5
61	5
57	5
58	5
57	5
67	5
81	5
79	5
76	5
78	6
74	6
67	6
84	6
85	6
79	6
82	6
87	6
90	6
87	6
93	6
92	6
82	6
80	6
79	6
77	6
72	6
65	6
73	6
76	6
77	6
76	6
76	6
76	6
75	6
78	6
73	6
80	6
77	6
83	6
84	7
85	7
81	7
84	7
83	7
83	7
88	7
92	7
92	7
89	7
82	7
73	7
81	7
91	7
80	7
81	7
82	7
84	7
87	7
85	7
74	7
81	7
82	7
86	7
85	7
82	7
86	7
88	7
86	7
83	7
81	7
81	8
81	8
82	8
86	8
85	8
87	8
89	8
90	8
90	8
92	8
86	8
86	8
82	8
80	8
79	8
77	8
79	8
76	8
78	8
78	8
77	8
72	8
75	8
79	8
81	8
86	8
88	8
97	8
94	8
96	8
94	8
91	9
92	9
93	9
93	9
87	9
84	9
80	9
78	9
75	9
73	9
81	9
76	9
77	9
71	9
71	9
78	9
67	9
76	9
68	9
82	9
64	9
71	9
81	9
69	9
63	9
70	9
77	9
75	9
76	9
68	9

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310324&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]4 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310324&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310324&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R ServerBig Analytics Cloud Computing Center






ANOVA Model
Temp ~ Month
means65.54813.55218.35518.41911.352

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
Temp  ~  Month \tabularnewline
means & 65.548 & 13.552 & 18.355 & 18.419 & 11.352 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310324&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]Temp  ~  Month[/C][/ROW]
[ROW][C]means[/C][C]65.548[/C][C]13.552[/C][C]18.355[/C][C]18.419[/C][C]11.352[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310324&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310324&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
Temp ~ Month
means65.54813.55218.35518.41911.352






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
Month47061.1281765.28239.8460
Residuals1486556.75544.302 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
Month & 4 & 7061.128 & 1765.282 & 39.846 & 0 \tabularnewline
Residuals & 148 & 6556.755 & 44.302 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310324&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]Month[/C][C]4[/C][C]7061.128[/C][C]1765.282[/C][C]39.846[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]148[/C][C]6556.755[/C][C]44.302[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310324&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310324&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)
Month47061.1281765.28239.8460
Residuals1486556.75544.302






Tukey Honest Significant Difference Comparisons
difflwruprp adj
6-513.5528.84418.2590
7-518.35513.68623.0240
8-518.41913.7523.0880
9-511.3526.64416.0590
7-64.8030.0959.5110.043
8-64.8680.169.5750.039
9-6-2.2-6.9462.5460.704
8-70.065-4.6044.7341
9-7-7.003-11.711-2.2950.001
9-8-7.068-11.775-2.360.001

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
6-5 & 13.552 & 8.844 & 18.259 & 0 \tabularnewline
7-5 & 18.355 & 13.686 & 23.024 & 0 \tabularnewline
8-5 & 18.419 & 13.75 & 23.088 & 0 \tabularnewline
9-5 & 11.352 & 6.644 & 16.059 & 0 \tabularnewline
7-6 & 4.803 & 0.095 & 9.511 & 0.043 \tabularnewline
8-6 & 4.868 & 0.16 & 9.575 & 0.039 \tabularnewline
9-6 & -2.2 & -6.946 & 2.546 & 0.704 \tabularnewline
8-7 & 0.065 & -4.604 & 4.734 & 1 \tabularnewline
9-7 & -7.003 & -11.711 & -2.295 & 0.001 \tabularnewline
9-8 & -7.068 & -11.775 & -2.36 & 0.001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310324&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]6-5[/C][C]13.552[/C][C]8.844[/C][C]18.259[/C][C]0[/C][/ROW]
[ROW][C]7-5[/C][C]18.355[/C][C]13.686[/C][C]23.024[/C][C]0[/C][/ROW]
[ROW][C]8-5[/C][C]18.419[/C][C]13.75[/C][C]23.088[/C][C]0[/C][/ROW]
[ROW][C]9-5[/C][C]11.352[/C][C]6.644[/C][C]16.059[/C][C]0[/C][/ROW]
[ROW][C]7-6[/C][C]4.803[/C][C]0.095[/C][C]9.511[/C][C]0.043[/C][/ROW]
[ROW][C]8-6[/C][C]4.868[/C][C]0.16[/C][C]9.575[/C][C]0.039[/C][/ROW]
[ROW][C]9-6[/C][C]-2.2[/C][C]-6.946[/C][C]2.546[/C][C]0.704[/C][/ROW]
[ROW][C]8-7[/C][C]0.065[/C][C]-4.604[/C][C]4.734[/C][C]1[/C][/ROW]
[ROW][C]9-7[/C][C]-7.003[/C][C]-11.711[/C][C]-2.295[/C][C]0.001[/C][/ROW]
[ROW][C]9-8[/C][C]-7.068[/C][C]-11.775[/C][C]-2.36[/C][C]0.001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310324&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310324&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
6-513.5528.84418.2590
7-518.35513.68623.0240
8-518.41913.7523.0880
9-511.3526.64416.0590
7-64.8030.0959.5110.043
8-64.8680.169.5750.039
9-6-2.2-6.9462.5460.704
8-70.065-4.6044.7341
9-7-7.003-11.711-2.2950.001
9-8-7.068-11.775-2.360.001






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group42.5850.039
148 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 4 & 2.585 & 0.039 \tabularnewline
  & 148 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310324&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]4[/C][C]2.585[/C][C]0.039[/C][/ROW]
[ROW][C] [/C][C]148[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310324&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310324&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)
Group42.5850.039
148


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = TRUE ;
R code (references can be found in the software module):
par3 <- 'FALSE'
par2 <- '2'
par1 <- '1'
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){
'Tukey Plot'
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<-leveneTest(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')