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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

Wed, 19 Aug 2015 13:19:28 +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/t14399867840reynt0nzsfoiay.htm/, Retrieved Wed, 15 May 2024 21:30:35 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=280275, Retrieved Wed, 15 May 2024 21:30:35 +0000

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No (this computation is public)

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Estimated Impact

141

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 12:19:28] [14340d7aca2fd6511ec0e21a84917c95] [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	1 seconds
R Server	'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280275&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280275&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280275&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	'Gertrude Mary Cox' @ cox.wessa.net

Tabulation of Results
B-S x E1
	5	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	1	1	0	1	2	7	11	11	12	17	22	20	13	10	13	8
1	0	1	1	3	3	1	6	7	15	10	20	25	17	13	9	6

\begin{tabular}{lllllllll}
\hline

Tabulation of Results \tabularnewline

B-S x E1 \tabularnewline & 5 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline 0 & 1 & 1 & 0 & 1 & 2 & 7 & 11 & 11 & 12 & 17 & 22 & 20 & 13 & 10 & 13 & 8 \tabularnewline 1 & 0 & 1 & 1 & 3 & 3 & 1 & 6 & 7 & 15 & 10 & 20 & 25 & 17 & 13 & 9 & 6 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=280275&T=1

[TABLE]
[ROW]

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

B-S x E1[/C][/ROW] [ROW][C] [/C][C]5[/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]0[/C][C]1[/C][C]2[/C][C]7[/C][C]11[/C][C]11[/C][C]12[/C][C]17[/C][C]22[/C][C]20[/C][C]13[/C][C]10[/C][C]13[/C][C]8[/C][/ROW] [C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]3[/C][C]3[/C][C]1[/C][C]6[/C][C]7[/C][C]15[/C][C]10[/C][C]20[/C][C]25[/C][C]17[/C][C]13[/C][C]9[/C][C]6[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=280275&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280275&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 E1
	5	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	1	1	0	1	2	7	11	11	12	17	22	20	13	10	13	8
1	0	1	1	3	3	1	6	7	15	10	20	25	17	13	9	6

Tabulation of Expected Results
B-S x E1
	5	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0.52	1.04	0.52	2.08	2.6	4.17	8.86	9.38	14.07	14.07	21.88	23.44	15.63	11.98	11.46	7.29
1	0.48	0.96	0.48	1.92	2.4	3.83	8.14	8.62	12.93	12.93	20.12	21.56	14.37	11.02	10.54	6.71

\begin{tabular}{lllllllll}
\hline

Tabulation of Expected Results \tabularnewline

B-S x E1 \tabularnewline & 5 & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 & 27 & 28 \tabularnewline 0 & 0.52 & 1.04 & 0.52 & 2.08 & 2.6 & 4.17 & 8.86 & 9.38 & 14.07 & 14.07 & 21.88 & 23.44 & 15.63 & 11.98 & 11.46 & 7.29 \tabularnewline 1 & 0.48 & 0.96 & 0.48 & 1.92 & 2.4 & 3.83 & 8.14 & 8.62 & 12.93 & 12.93 & 20.12 & 21.56 & 14.37 & 11.02 & 10.54 & 6.71 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=280275&T=2

[TABLE]
[ROW]

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

B-S x E1[/C][/ROW] [ROW][C] [/C][C]5[/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]1.04[/C][C]0.52[/C][C]2.08[/C][C]2.6[/C][C]4.17[/C][C]8.86[/C][C]9.38[/C][C]14.07[/C][C]14.07[/C][C]21.88[/C][C]23.44[/C][C]15.63[/C][C]11.98[/C][C]11.46[/C][C]7.29[/C][/ROW] [C]1[/C][C]0.48[/C][C]0.96[/C][C]0.48[/C][C]1.92[/C][C]2.4[/C][C]3.83[/C][C]8.14[/C][C]8.62[/C][C]12.93[/C][C]12.93[/C][C]20.12[/C][C]21.56[/C][C]14.37[/C][C]11.02[/C][C]10.54[/C][C]6.71[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=280275&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280275&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 E1
	5	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28
0	0.52	1.04	0.52	2.08	2.6	4.17	8.86	9.38	14.07	14.07	21.88	23.44	15.63	11.98	11.46	7.29
1	0.48	0.96	0.48	1.92	2.4	3.83	8.14	8.62	12.93	12.93	20.12	21.56	14.37	11.02	10.54	6.71

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	14.32
P value	0.51

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates) \tabularnewline
Exact Pearson Chi Square Statistic & 14.32 \tabularnewline
P value & 0.51 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=280275&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with simulated p-value
	 (based on 2000 replicates)[/C][/ROW]
[ROW][C]Exact Pearson Chi Square Statistic[/C][C]14.32[/C][/ROW]
[ROW][C]P value[/C][C]0.51[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=280275&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=280275&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 with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	14.32
P value	0.51

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Parameters (R input):

par1 = 1 ; par2 = 2 ; par3 = Exact Pearson Chi-Squared by Simulation ;

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code