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Author

*The author of this computation has been verified*

R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

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

Date of computation

Wed, 19 Aug 2015 13:23:57 +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/19/t1439987059pvhcfx2vdyn5200.htm/, Retrieved Wed, 15 May 2024 04:06:07 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280278, Retrieved Wed, 15 May 2024 04:06:07 +0000

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IsPrivate?

No (this computation is public)

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Estimated Impact

147

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 12:23:57] [14340d7aca2fd6511ec0e21a84917c95] [Current]
- RM        [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2015-08-22 21:10:43] [c3af58d916586065e82a9492c7f087b1] 

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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	1 seconds
R Server	'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280278&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280278&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280278&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	'Sir Maurice George Kendall' @ kendall.wessa.net

Tabulation of Results
B-S x E3
	6	8	10	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	1	1	1	1	4	2	5	7	8	13	16	11	21	18	14	15	4	7
1	0	0	0	3	1	2	2	3	4	10	15	14	23	21	15	11	6	7

\begin{tabular}{lllllllll}
\hline

Tabulation of Results \tabularnewline

B-S x E3 \tabularnewline & 6 & 8 & 10 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline 0 & 1 & 1 & 1 & 1 & 4 & 2 & 5 & 7 & 8 & 13 & 16 & 11 & 21 & 18 & 14 & 15 & 4 & 7 \tabularnewline 1 & 0 & 0 & 0 & 3 & 1 & 2 & 2 & 3 & 4 & 10 & 15 & 14 & 23 & 21 & 15 & 11 & 6 & 7 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=280278&T=1

[TABLE]
[ROW]

Tabulation of Results[/C][/ROW] [ROW]

B-S x E3[/C][/ROW] [ROW][C] [/C][C]6[/C][C]8[/C][C]10[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/C][C]27[/C][C]28[/C][/ROW] [C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]4[/C][C]2[/C][C]5[/C][C]7[/C][C]8[/C][C]13[/C][C]16[/C][C]11[/C][C]21[/C][C]18[/C][C]14[/C][C]15[/C][C]4[/C][C]7[/C][/ROW] [C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][C]2[/C][C]2[/C][C]3[/C][C]4[/C][C]10[/C][C]15[/C][C]14[/C][C]23[/C][C]21[/C][C]15[/C][C]11[/C][C]6[/C][C]7[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=280278&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280278&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
B-S x E3
	6	8	10	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	1	1	1	1	4	2	5	7	8	13	16	11	21	18	14	15	4	7
1	0	0	0	3	1	2	2	3	4	10	15	14	23	21	15	11	6	7

Tabulation of Expected Results
B-S x E3
	6	8	10	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0.52	0.52	0.52	2.08	2.6	2.08	3.65	5.21	6.25	11.98	16.15	13.02	22.92	20.32	15.11	13.55	5.21	7.29
1	0.48	0.48	0.48	1.92	2.4	1.92	3.35	4.79	5.75	11.02	14.85	11.98	21.08	18.68	13.89	12.45	4.79	6.71

\begin{tabular}{lllllllll}
\hline

Tabulation of Expected Results \tabularnewline

B-S x E3 \tabularnewline & 6 & 8 & 10 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline 0 & 0.52 & 0.52 & 0.52 & 2.08 & 2.6 & 2.08 & 3.65 & 5.21 & 6.25 & 11.98 & 16.15 & 13.02 & 22.92 & 20.32 & 15.11 & 13.55 & 5.21 & 7.29 \tabularnewline 1 & 0.48 & 0.48 & 0.48 & 1.92 & 2.4 & 1.92 & 3.35 & 4.79 & 5.75 & 11.02 & 14.85 & 11.98 & 21.08 & 18.68 & 13.89 & 12.45 & 4.79 & 6.71 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=280278&T=2

[TABLE]
[ROW]

Tabulation of Expected Results[/C][/ROW] [ROW]

B-S x E3[/C][/ROW] [ROW][C] [/C][C]6[/C][C]8[/C][C]10[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][C]21[/C][C]22[/C][C]23[/C][C]24[/C][C]25[/C][C]26[/C][C]27[/C][C]28[/C][/ROW] [C]0[/C][C]0.52[/C][C]0.52[/C][C]0.52[/C][C]2.08[/C][C]2.6[/C][C]2.08[/C][C]3.65[/C][C]5.21[/C][C]6.25[/C][C]11.98[/C][C]16.15[/C][C]13.02[/C][C]22.92[/C][C]20.32[/C][C]15.11[/C][C]13.55[/C][C]5.21[/C][C]7.29[/C][/ROW] [C]1[/C][C]0.48[/C][C]0.48[/C][C]0.48[/C][C]1.92[/C][C]2.4[/C][C]1.92[/C][C]3.35[/C][C]4.79[/C][C]5.75[/C][C]11.02[/C][C]14.85[/C][C]11.98[/C][C]21.08[/C][C]18.68[/C][C]13.89[/C][C]12.45[/C][C]4.79[/C][C]6.71[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=280278&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280278&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
B-S x E3
	6	8	10	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0.52	0.52	0.52	2.08	2.6	2.08	3.65	5.21	6.25	11.98	16.15	13.02	22.92	20.32	15.11	13.55	5.21	7.29
1	0.48	0.48	0.48	1.92	2.4	1.92	3.35	4.79	5.75	11.02	14.85	11.98	21.08	18.68	13.89	12.45	4.79	6.71

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	11.69
Degrees of Freedom	17
P value	0.82

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 11.69 \tabularnewline
Degrees of Freedom & 17 \tabularnewline
P value & 0.82 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280278&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]11.69[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]17[/C][/ROW]
[ROW][C]P value[/C][C]0.82[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280278&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280278&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
Pearson Chi Square Statistic	11.69
Degrees of Freedom	17
P value	0.82

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;

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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Input Parameters & R Code