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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationSat, 22 Aug 2015 22:07:45 +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/2015/Aug/22/t1440277675v144jmn2uegw70i.htm/, Retrieved Sun, 19 May 2024 19:17:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280305, Retrieved Sun, 19 May 2024 19:17:53 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact171

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [hi i2] [2015-08-19 11:04:54] [5b73c907efdd91cd8d467e65f28ae5f1]
-    D  [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2015-08-19 12:16:00] [5b73c907efdd91cd8d467e65f28ae5f1]
- RM        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2015-08-22 21:07:45] [8145b3fe416df466b077d26de89041cd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0	7
0	18
0	20
0	9
0	19
0	12
0	16
0	17
0	9
0	28
0	20
0	16
0	22
0	17
0	12
0	18
1	20
0	12
0	16
1	16
0	21
0	15
0	17
0	17
0	17
0	18
0	15
1	20
1	13
0	21
0	12
0	6
0	13
0	6
0	19
0	12
0	14
0	13
0	12
1	17
0	19
0	10
0	10
0	11
0	11
0	10
1	7
0	22
0	12
1	18
0	20
1	9
1	16
1	14
0	11
1	20
0	17
0	14
1	8
0	16
1	11
1	10
0	15
0	15
0	10
0	10
0	18
1	10
0	22
0	16
0	10
1	7
0	16
0	16
1	16
1	22
0	13
0	5
0	10
1	8
0	16
1	8
0	16
1	14
1	15
1	9
1	21
1	7
1	17
1	18
1	16
1	16
1	14
1	15
1	8
1	22
1	5
1	13
1	22
1	18
1	15
1	11
1	19
1	19
1	21
1	4
1	17
1	10
1	13
1	15
1	11
1	20
1	13
1	18
1	20
0	15
0	4
0	9
0	18
1	12
1	17
0	12
0	16
0	17
0	14
0	13
0	20
0	16
0	15
0	10
0	16
1	21
0	15
0	16
0	19
0	9
0	19
0	7
0	23
0	14
0	10
0	16
0	12
1	10
0	7
0	20
0	9
0	14
0	12
0	10
0	19
0	16
0	11
0	15
0	14
0	11
0	14
0	15
0	7
1	22
1	19
0	22
0	11
1	19
1	9
1	11
1	17
0	12
0	17
1	10
1	17
1	13
1	11
1	19
1	21
1	24
1	13
1	16
0	13
0	15
1	15
0	11
0	7
1	13
0	13
1	12
1	8
0	7
1	17
1	9
1	18
1	17
1	17
1	18
1	12
1	14
1	22
1	19
1	21
1	10
1	16
0	11
1	15
1	12
1	21
0	22
1	20
0	15
1	9
0	15
1	14
0	11
1	9
1	18
1	12
1	11
1	14
0	10
0	18
1	11
0	14
0	16
1	11
0	8
0	16
1	13
1	12
0	17
1	23
0	14
0	10
0	16
1	11
0	16
1	19
0	17
0	12
0	17
0	11
1	19
0	12
0	8
0	17
1	13
0	17
0	7
1	23
0	18
1	13
1	17
1	13
0	13
1	8
1	16
0	14
0	13
0	19
0	15
0	15
0	8
1	14
1	7
0	11
1	17
1	19
0	17
1	12
1	12
1	18
1	16
1	15
1	20
1	16
1	12
1	10
1	28
1	19
1	18
1	19
1	8
1	17
1	16
1	18
0	12
1	17
1	13

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280305&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280305&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280305&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 time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Tabulation of Results
I3 x B-S
01
411
511
620
774
837
956
10127
11119
12149
13812
14107
15147
161911
171413
18710
19711
2057
2126
2255
2312
2401
2811

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
I3  x  B-S \tabularnewline
  & 0 & 1 \tabularnewline
4 & 1 & 1 \tabularnewline
5 & 1 & 1 \tabularnewline
6 & 2 & 0 \tabularnewline
7 & 7 & 4 \tabularnewline
8 & 3 & 7 \tabularnewline
9 & 5 & 6 \tabularnewline
10 & 12 & 7 \tabularnewline
11 & 11 & 9 \tabularnewline
12 & 14 & 9 \tabularnewline
13 & 8 & 12 \tabularnewline
14 & 10 & 7 \tabularnewline
15 & 14 & 7 \tabularnewline
16 & 19 & 11 \tabularnewline
17 & 14 & 13 \tabularnewline
18 & 7 & 10 \tabularnewline
19 & 7 & 11 \tabularnewline
20 & 5 & 7 \tabularnewline
21 & 2 & 6 \tabularnewline
22 & 5 & 5 \tabularnewline
23 & 1 & 2 \tabularnewline
24 & 0 & 1 \tabularnewline
28 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280305&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]I3  x  B-S[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]4[/C][C]1[/C][C]1[/C][/ROW]
[C]5[/C][C]1[/C][C]1[/C][/ROW]
[C]6[/C][C]2[/C][C]0[/C][/ROW]
[C]7[/C][C]7[/C][C]4[/C][/ROW]
[C]8[/C][C]3[/C][C]7[/C][/ROW]
[C]9[/C][C]5[/C][C]6[/C][/ROW]
[C]10[/C][C]12[/C][C]7[/C][/ROW]
[C]11[/C][C]11[/C][C]9[/C][/ROW]
[C]12[/C][C]14[/C][C]9[/C][/ROW]
[C]13[/C][C]8[/C][C]12[/C][/ROW]
[C]14[/C][C]10[/C][C]7[/C][/ROW]
[C]15[/C][C]14[/C][C]7[/C][/ROW]
[C]16[/C][C]19[/C][C]11[/C][/ROW]
[C]17[/C][C]14[/C][C]13[/C][/ROW]
[C]18[/C][C]7[/C][C]10[/C][/ROW]
[C]19[/C][C]7[/C][C]11[/C][/ROW]
[C]20[/C][C]5[/C][C]7[/C][/ROW]
[C]21[/C][C]2[/C][C]6[/C][/ROW]
[C]22[/C][C]5[/C][C]5[/C][/ROW]
[C]23[/C][C]1[/C][C]2[/C][/ROW]
[C]24[/C][C]0[/C][C]1[/C][/ROW]
[C]28[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280305&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280305&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:

Tabulation of Results
I3 x B-S
01
411
511
620
774
837
956
10127
11119
12149
13812
14107
15147
161911
171413
18710
19711
2057
2126
2255
2312
2401
2811






Tabulation of Expected Results
I3 x B-S
01
41.040.96
51.040.96
61.040.96
75.735.27
85.214.79
95.735.27
109.99.1
1110.429.58
1211.9811.02
1310.429.58
148.868.14
1510.9410.06
1615.6314.37
1714.0712.93
188.868.14
199.388.62
206.255.75
214.173.83
225.214.79
231.561.44
240.520.48
281.040.96

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
I3  x  B-S \tabularnewline
  & 0 & 1 \tabularnewline
4 & 1.04 & 0.96 \tabularnewline
5 & 1.04 & 0.96 \tabularnewline
6 & 1.04 & 0.96 \tabularnewline
7 & 5.73 & 5.27 \tabularnewline
8 & 5.21 & 4.79 \tabularnewline
9 & 5.73 & 5.27 \tabularnewline
10 & 9.9 & 9.1 \tabularnewline
11 & 10.42 & 9.58 \tabularnewline
12 & 11.98 & 11.02 \tabularnewline
13 & 10.42 & 9.58 \tabularnewline
14 & 8.86 & 8.14 \tabularnewline
15 & 10.94 & 10.06 \tabularnewline
16 & 15.63 & 14.37 \tabularnewline
17 & 14.07 & 12.93 \tabularnewline
18 & 8.86 & 8.14 \tabularnewline
19 & 9.38 & 8.62 \tabularnewline
20 & 6.25 & 5.75 \tabularnewline
21 & 4.17 & 3.83 \tabularnewline
22 & 5.21 & 4.79 \tabularnewline
23 & 1.56 & 1.44 \tabularnewline
24 & 0.52 & 0.48 \tabularnewline
28 & 1.04 & 0.96 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280305&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]I3  x  B-S[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]4[/C][C]1.04[/C][C]0.96[/C][/ROW]
[C]5[/C][C]1.04[/C][C]0.96[/C][/ROW]
[C]6[/C][C]1.04[/C][C]0.96[/C][/ROW]
[C]7[/C][C]5.73[/C][C]5.27[/C][/ROW]
[C]8[/C][C]5.21[/C][C]4.79[/C][/ROW]
[C]9[/C][C]5.73[/C][C]5.27[/C][/ROW]
[C]10[/C][C]9.9[/C][C]9.1[/C][/ROW]
[C]11[/C][C]10.42[/C][C]9.58[/C][/ROW]
[C]12[/C][C]11.98[/C][C]11.02[/C][/ROW]
[C]13[/C][C]10.42[/C][C]9.58[/C][/ROW]
[C]14[/C][C]8.86[/C][C]8.14[/C][/ROW]
[C]15[/C][C]10.94[/C][C]10.06[/C][/ROW]
[C]16[/C][C]15.63[/C][C]14.37[/C][/ROW]
[C]17[/C][C]14.07[/C][C]12.93[/C][/ROW]
[C]18[/C][C]8.86[/C][C]8.14[/C][/ROW]
[C]19[/C][C]9.38[/C][C]8.62[/C][/ROW]
[C]20[/C][C]6.25[/C][C]5.75[/C][/ROW]
[C]21[/C][C]4.17[/C][C]3.83[/C][/ROW]
[C]22[/C][C]5.21[/C][C]4.79[/C][/ROW]
[C]23[/C][C]1.56[/C][C]1.44[/C][/ROW]
[C]24[/C][C]0.52[/C][C]0.48[/C][/ROW]
[C]28[/C][C]1.04[/C][C]0.96[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280305&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280305&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:

Tabulation of Expected Results
I3 x B-S
01
41.040.96
51.040.96
61.040.96
75.735.27
85.214.79
95.735.27
109.99.1
1110.429.58
1211.9811.02
1310.429.58
148.868.14
1510.9410.06
1615.6314.37
1714.0712.93
188.868.14
199.388.62
206.255.75
214.173.83
225.214.79
231.561.44
240.520.48
281.040.96






Statistical Results
Pearson's Chi-squared test
17.56
Degrees of Freedom21
P value0.68

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
17.56 \tabularnewline
Degrees of Freedom & 21 \tabularnewline
P value & 0.68 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280305&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]17.56[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]21[/C][/ROW]
[ROW][C]P value[/C][C]0.68[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280305&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280305&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:

Statistical Results
Pearson's Chi-squared test
17.56
Degrees of Freedom21
P value0.68


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 2 ; par2 = 1 ; par3 = TRUE ;
Parameters (R input):
par1 = 2 ; par2 = 1 ; par3 = TRUE ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
R code (references can be found in the software module):
library(vcd)
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUE
x <- t(x)
(z <- array(unlist(x),dim=c(length(x[,1]),length(x[1,]))))
(table1 <- table(z[,cat1],z[,cat2]))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
bitmap(file='pic1.png')
assoc(ftable(z[,cat1],z[,cat2],row.vars=1,dnn=c(V1,V2)),shade=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, table1[nr, nc], 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
(cst<-chisq.test(table1, simulate.p.value=simulate.p.value) )
if (par3 == 'McNemar Chi-Squared') {
(cst <- mcnemar.test(table1))
}
if (par3=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Expected Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, round(cst$expected[nr, nc], digits=2), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Statistical Results',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, cst$method, 2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$parameter, 1,FALSE)
a<-table.row.end(a)
}
}
a<-table.row.start(a)
a<-table.element(a, 'P value', 1, TRUE)
a<-table.element(a, round(cst$p.value, digits=2), 1,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')