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*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, 20 Dec 2017 14:46:19 +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/2017/Dec/20/t1513777595m6xcynh9ohs72mi.htm/, Retrieved Tue, 14 May 2024 14:37:41 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310503, Retrieved Tue, 14 May 2024 14:37:41 +0000

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No (this computation is public)

User-defined keywords

Estimated Impact

106

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] [Dataset 1: Chi-sq...] [2017-12-20 13:46:19] [175ae270eadec1eee45a9232fd93e8f5] [Current]

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'B'	7
'B'	8
'B'	10
'B'	10
'B'	5
'S'	7
'B'	8
'B'	9
'B'	8
'B'	8
'S'	8
'S'	10
'S'	10
'B'	8
'B'	10
'S'	9
'B'	7
'S'	8
'S'	10
'B'	4
'B'	9
'B'	5
'B'	4
'B'	9
'S'	6
'S'	8
'B'	10
'B'	9
'B'	8
'B'	7
'S'	10
'B'	6
'B'	9
'B'	5
'B'	4
'S'	8
'S'	2
'S'	10
'S'	5
'S'	8
'S'	8
'B'	8
'S'	7
'B'	10
'B'	10
'B'	7
'B'	10
'B'	10
'B'	8
'B'	7
'B'	8
'S'	6
'B'	10
'S'	9
'S'	9
'S'	7
'B'	8
'S'	6
'B'	7
'B'	9
'B'	7
'B'	7
'B'	7
'B'	10
'S'	4
'B'	10
'B'	3
'B'	8
'B'	10
'B'	8
'S'	6
'B'	6
'S'	10
'B'	10
'B'	7
'B'	8
'B'	7
'B'	9
'B'	2
'B'	10
'B'	10
'B'	7
'B'	8
'S'	8
'B'	10
'S'	8
'B'	8
'B'	7
'B'	8
'B'	8
'B'	10
'B'	9
'B'	9
'S'	4
'B'	5
'B'	10
'S'	9
'S'	6
'B'	8
'B'	8
'B'	9
'B'	8
'B'	4
'B'	5
'B'	10
'B'	10
'B'	9
'B'	9
'B'	6
'B'	7
'S'	4
'S'	6
'S'	4
'S'	4
'B'	10
'S'	6
'B'	9
'B'	7
'B'	4
'B'	8
'B'	8
'B'	8
'S'	7
'S'	6
'S'	5
'B'	5
'S'	7
'S'	4
'B'	8
'B'	7
'S'	6
'S'	8
'S'	5
'S'	3
'S'	5
'S'	10
'S'	7
'S'	4
'S'	2
'S'	6
'S'	3
'S'	8
'S'	9
'S'	5
'B'	6
'B'	2
'B'	6
'B'	10
'S'	8
'B'	10
'S'	8
'B'	8
'S'	6
'S'	9
'B'	9
'S'	9
'S'	8
'S'	8
'S'	10
'B'	3
'B'	6
'B'	9
'S'	3
'S'	4
'B'	5
'B'	9
'S'	8
'B'	5
'S'	4
'S'	5
'B'	7
'B'	7
'B'	8
'S'	8
'B'	6
'S'	7
'S'	9
'S'	9
'S'	6
'S'	9
'S'	9
'B'	8
'B'	6
'B'	6
'S'	10
'S'	8
'B'	10
'B'	8
'S'	7
'S'	7
'S'	8
'B'	8
'S'	7
'S'	2
'B'	5
'B'	7
'S'	5
'B'	5
'S'	10
'S'	8
'S'	7
'B'	6
'S'	6
'S'	5
'S'	7
'S'	8
'S'	7
'S'	8
'S'	9
'S'	5
'S'	5
'S'	5
'S'	10
'S'	5
'S'	5
'S'	8
'S'	10
'S'	7
'B'	2
'S'	6
'S'	3
'S'	6
'S'	4
'S'	4
'S'	8
'S'	7
'S'	5
'B'	9
'S'	5
'S'	6
'S'	5
'S'	2
'S'	8
'S'	7
'S'	9
'S'	9
'S'	9
'S'	10
'S'	6
'S'	9
'S'	9
'B'	6
'S'	10
'S'	5
'B'	9
'B'	4
'B'	2
'B'	3
'S'	9
'S'	10
'S'	6
'S'	9
'B'	8
'S'	2
'S'	6
'S'	9
'S'	6
'S'	4
'B'	3
'S'	3
'S'	4
'S'	6
'B'	8
'S'	6
'S'	7
'B'	8
'S'	3
'S'	10
'S'	8
'S'	6
'S'	10
'S'	8
'S'	10
'S'	7
'S'	10
'S'	6
'S'	7
'S'	9
'S'	6
'S'	7
'S'	6
'S'	4
'S'	6
'S'	8
'S'	9
'S'	8
'S'	6
'S'	6
'S'	10
'S'	8
'S'	8
'S'	7
'S'	4
'S'	9
'S'	8
'S'	10
'S'	8
'B'	6
'S'	7
'S'	8
'S'	5
'S'	10
'S'	2
'S'	6
'S'	7
'S'	5
'S'	8
'S'	7
'B'	7
'S'	10
'S'	7
'S'	6
'S'	10
'S'	6
'S'	5
'S'	8
'S'	8
'S'	5
'S'	8
'S'	10
'S'	7
'S'	7
'S'	7
'S'	7
'B'	2
'S'	4
'S'	6
'B'	7
'B'	9
'S'	9
'S'	4
'S'	9
'S'	9
'S'	8
'S'	7
'S'	9
'S'	7
'S'	6
'B'	7
'B'	2
'B'	3
'B'	4
'B'	5
'B'	2
'B'	6
'S'	8
'S'	5
'B'	4
'S'	10
'S'	10
'S'	10
'S'	9
'S'	5
'S'	5
'S'	7
'S'	10
'S'	9
'S'	8
'S'	8
'S'	8
'S'	8
'S'	8
'S'	7
'S'	6
'S'	8
'S'	2
'S'	5
'S'	4
'S'	9
'S'	10
'S'	6
'B'	4
'S'	10
'S'	6
'B'	7
'B'	7
'S'	8
'S'	6
'S'	5
'S'	6
'S'	7
'S'	6
'S'	9
'S'	9
'S'	7
'B'	6
'S'	7
'S'	7
'S'	8
'S'	7
'S'	8
'S'	7
'B'	4
'S'	10
'B'	8
'S'	8
'B'	2
'S'	6
'S'	4
'B'	4
'S'	9
'B'	2
'B'	6
'B'	7
'B'	4
'S'	10
'B'	3
'B'	7
'B'	4
'B'	8
'B'	4
'B'	5
'S'	6
'B'	5
'B'	9
'B'	6
'B'	8
'S'	4
'B'	4
'B'	8
'B'	4
'S'	10
'S'	8
'S'	5
'B'	3
'B'	7
'S'	6
'S'	5
'B'	5
'S'	9
'B'	2
'B'	7
'S'	7
'B'	5
'S'	9
'S'	4
'B'	5
'B'	9
'S'	7
'S'	6
'S'	8
'B'	7
'S'	6
'S'	8
'B'	6
'B'	7

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	Big 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310503&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]

2 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310503&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310503&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	Big Analytics Cloud Computing Center

Tabulation of Results
B/S x Reladv
	10	2	3	4	5	6	7	8	9
B	24	10	7	16	16	17	30	36	21
S	34	7	6	21	28	45	41	52	35

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
B/S  x  Reladv \tabularnewline
  & 10 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
B & 24 & 10 & 7 & 16 & 16 & 17 & 30 & 36 & 21 \tabularnewline
S & 34 & 7 & 6 & 21 & 28 & 45 & 41 & 52 & 35 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310503&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]B/S  x  Reladv[/C][/ROW]
[ROW][C] [/C][C]10[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW]
[C]B[/C][C]24[/C][C]10[/C][C]7[/C][C]16[/C][C]16[/C][C]17[/C][C]30[/C][C]36[/C][C]21[/C][/ROW]
[C]S[/C][C]34[/C][C]7[/C][C]6[/C][C]21[/C][C]28[/C][C]45[/C][C]41[/C][C]52[/C][C]35[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310503&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310503&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 Reladv
	10	2	3	4	5	6	7	8	9
B	24	10	7	16	16	17	30	36	21
S	34	7	6	21	28	45	41	52	35

Tabulation of Expected Results
B/S x Reladv
	10	2	3	4	5	6	7	8	9
B	23.02	6.75	5.16	14.68	17.46	24.61	28.18	34.92	22.22
S	34.98	10.25	7.84	22.32	26.54	37.39	42.82	53.08	33.78

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
B/S  x  Reladv \tabularnewline
  & 10 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \tabularnewline
B & 23.02 & 6.75 & 5.16 & 14.68 & 17.46 & 24.61 & 28.18 & 34.92 & 22.22 \tabularnewline
S & 34.98 & 10.25 & 7.84 & 22.32 & 26.54 & 37.39 & 42.82 & 53.08 & 33.78 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310503&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]B/S  x  Reladv[/C][/ROW]
[ROW][C] [/C][C]10[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][/ROW]
[C]B[/C][C]23.02[/C][C]6.75[/C][C]5.16[/C][C]14.68[/C][C]17.46[/C][C]24.61[/C][C]28.18[/C][C]34.92[/C][C]22.22[/C][/ROW]
[C]S[/C][C]34.98[/C][C]10.25[/C][C]7.84[/C][C]22.32[/C][C]26.54[/C][C]37.39[/C][C]42.82[/C][C]53.08[/C][C]33.78[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310503&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310503&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 Reladv
	10	2	3	4	5	6	7	8	9
B	23.02	6.75	5.16	14.68	17.46	24.61	28.18	34.92	22.22
S	34.98	10.25	7.84	22.32	26.54	37.39	42.82	53.08	33.78

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	8.42
P value	0.41

\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 & 8.42 \tabularnewline
P value & 0.41 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310503&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]8.42[/C][/ROW]
[ROW][C]P value[/C][C]0.41[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310503&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310503&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	8.42
P value	0.41

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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