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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Sat, 22 Aug 2015 22:06:23 +0100

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/2015/Aug/22/t14402775930idivlpwum482s7.htm/, Retrieved Thu, 16 May 2024 14:55:47 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280304, Retrieved Thu, 16 May 2024 14:55:47 +0000

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No (this computation is public)

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Estimated Impact

173

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 12:12:32] [5b73c907efdd91cd8d467e65f28ae5f1]
- R         [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2015-08-22 21:06:23] [8145b3fe416df466b077d26de89041cd] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280304&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280304&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280304&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	2 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Tabulation of Results
I2 x B-S
	0	1
6	1	1
7	2	1
8	2	2
9	2	1
10	2	0
11	1	3
12	1	4
13	4	3
14	6	8
15	6	4
16	16	10
17	7	8
18	10	23
19	19	12
20	18	17
21	12	16
22	14	9
23	8	6
24	7	6
25	3	2
26	5	0
27	1	0
28	2	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
I2  x  B-S \tabularnewline
  & 0 & 1 \tabularnewline
6 & 1 & 1 \tabularnewline
7 & 2 & 1 \tabularnewline
8 & 2 & 2 \tabularnewline
9 & 2 & 1 \tabularnewline
10 & 2 & 0 \tabularnewline
11 & 1 & 3 \tabularnewline
12 & 1 & 4 \tabularnewline
13 & 4 & 3 \tabularnewline
14 & 6 & 8 \tabularnewline
15 & 6 & 4 \tabularnewline
16 & 16 & 10 \tabularnewline
17 & 7 & 8 \tabularnewline
18 & 10 & 23 \tabularnewline
19 & 19 & 12 \tabularnewline
20 & 18 & 17 \tabularnewline
21 & 12 & 16 \tabularnewline
22 & 14 & 9 \tabularnewline
23 & 8 & 6 \tabularnewline
24 & 7 & 6 \tabularnewline
25 & 3 & 2 \tabularnewline
26 & 5 & 0 \tabularnewline
27 & 1 & 0 \tabularnewline
28 & 2 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280304&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]I2  x  B-S[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]6[/C][C]1[/C][C]1[/C][/ROW]
[C]7[/C][C]2[/C][C]1[/C][/ROW]
[C]8[/C][C]2[/C][C]2[/C][/ROW]
[C]9[/C][C]2[/C][C]1[/C][/ROW]
[C]10[/C][C]2[/C][C]0[/C][/ROW]
[C]11[/C][C]1[/C][C]3[/C][/ROW]
[C]12[/C][C]1[/C][C]4[/C][/ROW]
[C]13[/C][C]4[/C][C]3[/C][/ROW]
[C]14[/C][C]6[/C][C]8[/C][/ROW]
[C]15[/C][C]6[/C][C]4[/C][/ROW]
[C]16[/C][C]16[/C][C]10[/C][/ROW]
[C]17[/C][C]7[/C][C]8[/C][/ROW]
[C]18[/C][C]10[/C][C]23[/C][/ROW]
[C]19[/C][C]19[/C][C]12[/C][/ROW]
[C]20[/C][C]18[/C][C]17[/C][/ROW]
[C]21[/C][C]12[/C][C]16[/C][/ROW]
[C]22[/C][C]14[/C][C]9[/C][/ROW]
[C]23[/C][C]8[/C][C]6[/C][/ROW]
[C]24[/C][C]7[/C][C]6[/C][/ROW]
[C]25[/C][C]3[/C][C]2[/C][/ROW]
[C]26[/C][C]5[/C][C]0[/C][/ROW]
[C]27[/C][C]1[/C][C]0[/C][/ROW]
[C]28[/C][C]2[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280304&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280304&T=1

As an alternative you can also use a QR Code:

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

Tabulation of Results
I2 x B-S
	0	1
6	1	1
7	2	1
8	2	2
9	2	1
10	2	0
11	1	3
12	1	4
13	4	3
14	6	8
15	6	4
16	16	10
17	7	8
18	10	23
19	19	12
20	18	17
21	12	16
22	14	9
23	8	6
24	7	6
25	3	2
26	5	0
27	1	0
28	2	1

Tabulation of Expected Results
I2 x B-S
	0	1
6	1.04	0.96
7	1.56	1.44
8	2.08	1.92
9	1.56	1.44
10	1.04	0.96
11	2.08	1.92
12	2.6	2.4
13	3.65	3.35
14	7.29	6.71
15	5.21	4.79
16	13.55	12.45
17	7.81	7.19
18	17.19	15.81
19	16.15	14.85
20	18.23	16.77
21	14.59	13.41
22	11.98	11.02
23	7.29	6.71
24	6.77	6.23
25	2.6	2.4
26	2.6	2.4
27	0.52	0.48
28	1.56	1.44

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
I2  x  B-S \tabularnewline
  & 0 & 1 \tabularnewline
6 & 1.04 & 0.96 \tabularnewline
7 & 1.56 & 1.44 \tabularnewline
8 & 2.08 & 1.92 \tabularnewline
9 & 1.56 & 1.44 \tabularnewline
10 & 1.04 & 0.96 \tabularnewline
11 & 2.08 & 1.92 \tabularnewline
12 & 2.6 & 2.4 \tabularnewline
13 & 3.65 & 3.35 \tabularnewline
14 & 7.29 & 6.71 \tabularnewline
15 & 5.21 & 4.79 \tabularnewline
16 & 13.55 & 12.45 \tabularnewline
17 & 7.81 & 7.19 \tabularnewline
18 & 17.19 & 15.81 \tabularnewline
19 & 16.15 & 14.85 \tabularnewline
20 & 18.23 & 16.77 \tabularnewline
21 & 14.59 & 13.41 \tabularnewline
22 & 11.98 & 11.02 \tabularnewline
23 & 7.29 & 6.71 \tabularnewline
24 & 6.77 & 6.23 \tabularnewline
25 & 2.6 & 2.4 \tabularnewline
26 & 2.6 & 2.4 \tabularnewline
27 & 0.52 & 0.48 \tabularnewline
28 & 1.56 & 1.44 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280304&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]I2  x  B-S[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]1[/C][/ROW]
[C]6[/C][C]1.04[/C][C]0.96[/C][/ROW]
[C]7[/C][C]1.56[/C][C]1.44[/C][/ROW]
[C]8[/C][C]2.08[/C][C]1.92[/C][/ROW]
[C]9[/C][C]1.56[/C][C]1.44[/C][/ROW]
[C]10[/C][C]1.04[/C][C]0.96[/C][/ROW]
[C]11[/C][C]2.08[/C][C]1.92[/C][/ROW]
[C]12[/C][C]2.6[/C][C]2.4[/C][/ROW]
[C]13[/C][C]3.65[/C][C]3.35[/C][/ROW]
[C]14[/C][C]7.29[/C][C]6.71[/C][/ROW]
[C]15[/C][C]5.21[/C][C]4.79[/C][/ROW]
[C]16[/C][C]13.55[/C][C]12.45[/C][/ROW]
[C]17[/C][C]7.81[/C][C]7.19[/C][/ROW]
[C]18[/C][C]17.19[/C][C]15.81[/C][/ROW]
[C]19[/C][C]16.15[/C][C]14.85[/C][/ROW]
[C]20[/C][C]18.23[/C][C]16.77[/C][/ROW]
[C]21[/C][C]14.59[/C][C]13.41[/C][/ROW]
[C]22[/C][C]11.98[/C][C]11.02[/C][/ROW]
[C]23[/C][C]7.29[/C][C]6.71[/C][/ROW]
[C]24[/C][C]6.77[/C][C]6.23[/C][/ROW]
[C]25[/C][C]2.6[/C][C]2.4[/C][/ROW]
[C]26[/C][C]2.6[/C][C]2.4[/C][/ROW]
[C]27[/C][C]0.52[/C][C]0.48[/C][/ROW]
[C]28[/C][C]1.56[/C][C]1.44[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280304&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280304&T=2

As an alternative you can also use a QR Code:

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

Tabulation of Expected Results
I2 x B-S
	0	1
6	1.04	0.96
7	1.56	1.44
8	2.08	1.92
9	1.56	1.44
10	1.04	0.96
11	2.08	1.92
12	2.6	2.4
13	3.65	3.35
14	7.29	6.71
15	5.21	4.79
16	13.55	12.45
17	7.81	7.19
18	17.19	15.81
19	16.15	14.85
20	18.23	16.77
21	14.59	13.41
22	11.98	11.02
23	7.29	6.71
24	6.77	6.23
25	2.6	2.4
26	2.6	2.4
27	0.52	0.48
28	1.56	1.44

Statistical Results
Pearson's Chi-squared test
22.57
Degrees of Freedom	22
P value	0.43

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
22.57 \tabularnewline
Degrees of Freedom & 22 \tabularnewline
P value & 0.43 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280304&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]22.57[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]22[/C][/ROW]
[ROW][C]P value[/C][C]0.43[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280304&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280304&T=3

As an alternative you can also use a QR Code:

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

Statistical Results
Pearson's Chi-squared test
22.57
Degrees of Freedom	22
P value	0.43

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 2 ; par2 = 1 ; par3 = TRUE ;

Parameters (R input):

par1 = 2 ; par2 = 1 ; par3 = TRUE ;

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')

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