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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

Fri, 12 Dec 2014 16:14:11 +0000

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/2014/Dec/12/t1418401082ii8w39ahalpk9u4.htm/, Retrieved Thu, 31 Oct 2024 23:07:37 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=266833, Retrieved Thu, 31 Oct 2024 23:07:37 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

118

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] [] [2014-12-12 16:14:11] [d3a85ea23f6d8881e8b5a834ebd3a404] [Current]

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Dataseries X:

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Histogram

Boxplots

0.5 0.67
0.5 0.33
0.4 0.67
0.5 0
0.7 0
0.3 0
0.4 0.67
0.4 0.67
0.7 0
0.6 0.67
0.6 1
0.2 0
0.4 0
0.4 0.67
0.5 0.33
0.3 0.67
0.4 0.33
0.7 0.33
0.5 0.33
0.2 0
0.3 0.67
0.6 0.33
0.6 0.33
0.2 0.33
0.7 0.67
0.2 0
1 0.33
0.4 0.67
0.4 1
0.2 0.67
0.4 0.33
0.4 0
0.7 0.67
0.2 0.67
0.6 1
0.3 1
0.3 0.33
0.2 0
0.5 0.67
0.7 0.67
0.6 0.67
0.4 0.67
0.6 0.33
0.4 1
0.3 0.67
0.5 0.67
0.2 0
0.3 0
0.5 0
0.7 1
0.4 0.67
0.3 0
0.2 0.67
0.5 0
0.4 0
0.6 0.67
0.4 1
0.4 0
0.2 0.33
0.9 0.67
0.8 0.67
0.8 0
0.3 1
0.2 0.67
0.4 0
0.2 1
0.2 0.67
0.1 0.67
0.4 1
0.5 0
0.8 0.33
0.4 0.67
0.6 0.33
0.5 0.67
0.3 0
0.8 1
0.4 0
0.6 0.67
0.4 0.33
0.3 0
0.8 0
0.6 0.33
0.3 0
0.5 0.67
0.4 0.33
0.3 0.67
0.7 0.33
0.2 0.33
0.4 1
0.6 0.67
0.6 0
0.6 0.67
0.4 0.33
0.6 0
0.5 0.33
0.5 0
0.6 0
0.8 0.33
0.5 0.67
0.6 0.67
0.4 0.67
0.3 0.67
0.3 1
0.2 0
0.4 0
0.5 0
0.3 0
0.4 0
0.5 1
0.3 0.67
0.5 0
0.4 0.67
0.4 0.67
0.6 0
0.3 0.67
0.4 0.33
0.3 1
1 1
0.4 0
0.8 1
0.3 0.67
0.5 0.67
0.4 0
0.3 0.67
0.5 1
0.3 0.67
0.3 0
0.4 0
0.3 0
0.6 0.33
0.6 0.67
0.4 1
0.4 0
0.4 0.67
0.3 0.67
0.2 0.33
0.5 0.67
0.4 0.67
0.4 0.67
0.4 0.67
0.3 0.67
0.4 0.67
0.2 0.33
0 0
0.4 0.67
0.6 0
0.4 0.67
0.4 0
0.4 0
0.2 0
0.4 1
0.3 0
0.6 0.67
0.6 1
0.4 0
0.5 0.67
0.4 0
0.6 1
0.6 0.67
0.9 0.67
0.4 0.67
0.8 1
0.5 1
0.4 1
0.4 0.67
0.7 1
0.4 0.33
0.8 0.67
0.4 1
0.3 0.67
0.5 0.67
0.8 0.67
0.4 0.33
1 1
0.5 0.67
0.5 0.67
0.3 0.33
0.3 0.33
0.3 0
0.4 0.33
0.5 0.33
0.5 0.67
0.4 0
0.7 1
0.5 0.33
0.4 0.33
0.7 1
0.7 1
0.7 1
0.7 1
0.7 0
0.7 0.67
0.1 0.33
0.2 0.67
0.3 0.33
0.6 0.33
0.8 1
0.8 0.33
0 0
0.3 0.33
0.6 0.33
0.5 0.67
0.7 0.33
0.3 0
0.3 0.67
0.4 0.67
0.4 1
0.1 0
0.5 0.67
0 0
0.4 0.33
0.6 0.67
0.4 0.33
0.1 0
0.3 0
0.7 0.67
0.3 0
0.5 0.33
0.3 0.67
0.6 0.67
0.9 1
0.4 0
0.3 0
0.9 0.67
0.5 0
0.3 1
0.6 0.67
0.2 0.33
0.4 1
0.5 0.67
0.4 0.67
0 0
0.2 0.33
0.5 0.67
0.3 0.67
0 0
0.5 1
0.6 0.33
0.3 0
0 0
0.3 0
0.5 0.67
0.4 0
0.5 0.67
0.7 1
0.8 0.67
0.6 0.33
0.4 0.33
0.5 0.33
0.5 0
0.3 0.33
0.6 0
0.3 0.67
0.6 1
0.3 0.33
0.7 0.67
0.7 1
0.6 1
0.5 0.33
0.5 0.33
0.4 0
0.4 0.33
0.7 1
0.2 0
0.5 0.67
0.4 0.67
0.2 0.67
0.5 0.67
0.4 0
0.7 1
0.6 0.67
0.4 0
0.5 0.67
0 0
0.7 0.67
0.4 0.67
0.5 1
0.6 0.67
0.8 0.67

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 Ronald Aylmer Fisher' @ fisher.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 Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266833&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 Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266833&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266833&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 Ronald Aylmer Fisher' @ fisher.wessa.net

Tabulation of Results
Algebraic_Reasoning x Proportionality_and_Ratio
	0	0.33	0.67	1
0	7	0	0	0
0.1	2	1	1	0
0.2	8	7	7	1
0.3	17	7	17	5
0.4	22	14	24	11
0.5	9	10	22	5
0.6	6	10	15	6
0.7	3	3	7	11
0.8	2	3	5	4
0.9	0	0	3	1
1	0	1	0	2

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Algebraic_Reasoning  x  Proportionality_and_Ratio \tabularnewline
  & 0 & 0.33 & 0.67 & 1 \tabularnewline
0 & 7 & 0 & 0 & 0 \tabularnewline
0.1 & 2 & 1 & 1 & 0 \tabularnewline
0.2 & 8 & 7 & 7 & 1 \tabularnewline
0.3 & 17 & 7 & 17 & 5 \tabularnewline
0.4 & 22 & 14 & 24 & 11 \tabularnewline
0.5 & 9 & 10 & 22 & 5 \tabularnewline
0.6 & 6 & 10 & 15 & 6 \tabularnewline
0.7 & 3 & 3 & 7 & 11 \tabularnewline
0.8 & 2 & 3 & 5 & 4 \tabularnewline
0.9 & 0 & 0 & 3 & 1 \tabularnewline
1 & 0 & 1 & 0 & 2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266833&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Algebraic_Reasoning  x  Proportionality_and_Ratio[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.33[/C][C]0.67[/C][C]1[/C][/ROW]
[C]0[/C][C]7[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]0.1[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[C]0.2[/C][C]8[/C][C]7[/C][C]7[/C][C]1[/C][/ROW]
[C]0.3[/C][C]17[/C][C]7[/C][C]17[/C][C]5[/C][/ROW]
[C]0.4[/C][C]22[/C][C]14[/C][C]24[/C][C]11[/C][/ROW]
[C]0.5[/C][C]9[/C][C]10[/C][C]22[/C][C]5[/C][/ROW]
[C]0.6[/C][C]6[/C][C]10[/C][C]15[/C][C]6[/C][/ROW]
[C]0.7[/C][C]3[/C][C]3[/C][C]7[/C][C]11[/C][/ROW]
[C]0.8[/C][C]2[/C][C]3[/C][C]5[/C][C]4[/C][/ROW]
[C]0.9[/C][C]0[/C][C]0[/C][C]3[/C][C]1[/C][/ROW]
[C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266833&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266833&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
Algebraic_Reasoning x Proportionality_and_Ratio
	0	0.33	0.67	1
0	7	0	0	0
0.1	2	1	1	0
0.2	8	7	7	1
0.3	17	7	17	5
0.4	22	14	24	11
0.5	9	10	22	5
0.6	6	10	15	6
0.7	3	3	7	11
0.8	2	3	5	4
0.9	0	0	3	1
1	0	1	0	2

Tabulation of Expected Results
Algebraic_Reasoning x Proportionality_and_Ratio
	0	0.33	0.67	1
0	1.91	1.41	2.53	1.15
0.1	1.09	0.8	1.45	0.66
0.2	6.27	4.62	8.33	3.79
0.3	12.53	9.23	16.65	7.58
0.4	19.34	14.25	25.7	11.71
0.5	12.53	9.23	16.65	7.58
0.6	10.08	7.43	13.39	6.1
0.7	6.54	4.82	8.69	3.96
0.8	3.81	2.81	5.07	2.31
0.9	1.09	0.8	1.45	0.66
1	0.82	0.6	1.09	0.49

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Algebraic_Reasoning  x  Proportionality_and_Ratio \tabularnewline
  & 0 & 0.33 & 0.67 & 1 \tabularnewline
0 & 1.91 & 1.41 & 2.53 & 1.15 \tabularnewline
0.1 & 1.09 & 0.8 & 1.45 & 0.66 \tabularnewline
0.2 & 6.27 & 4.62 & 8.33 & 3.79 \tabularnewline
0.3 & 12.53 & 9.23 & 16.65 & 7.58 \tabularnewline
0.4 & 19.34 & 14.25 & 25.7 & 11.71 \tabularnewline
0.5 & 12.53 & 9.23 & 16.65 & 7.58 \tabularnewline
0.6 & 10.08 & 7.43 & 13.39 & 6.1 \tabularnewline
0.7 & 6.54 & 4.82 & 8.69 & 3.96 \tabularnewline
0.8 & 3.81 & 2.81 & 5.07 & 2.31 \tabularnewline
0.9 & 1.09 & 0.8 & 1.45 & 0.66 \tabularnewline
1 & 0.82 & 0.6 & 1.09 & 0.49 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266833&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Algebraic_Reasoning  x  Proportionality_and_Ratio[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]0.33[/C][C]0.67[/C][C]1[/C][/ROW]
[C]0[/C][C]1.91[/C][C]1.41[/C][C]2.53[/C][C]1.15[/C][/ROW]
[C]0.1[/C][C]1.09[/C][C]0.8[/C][C]1.45[/C][C]0.66[/C][/ROW]
[C]0.2[/C][C]6.27[/C][C]4.62[/C][C]8.33[/C][C]3.79[/C][/ROW]
[C]0.3[/C][C]12.53[/C][C]9.23[/C][C]16.65[/C][C]7.58[/C][/ROW]
[C]0.4[/C][C]19.34[/C][C]14.25[/C][C]25.7[/C][C]11.71[/C][/ROW]
[C]0.5[/C][C]12.53[/C][C]9.23[/C][C]16.65[/C][C]7.58[/C][/ROW]
[C]0.6[/C][C]10.08[/C][C]7.43[/C][C]13.39[/C][C]6.1[/C][/ROW]
[C]0.7[/C][C]6.54[/C][C]4.82[/C][C]8.69[/C][C]3.96[/C][/ROW]
[C]0.8[/C][C]3.81[/C][C]2.81[/C][C]5.07[/C][C]2.31[/C][/ROW]
[C]0.9[/C][C]1.09[/C][C]0.8[/C][C]1.45[/C][C]0.66[/C][/ROW]
[C]1[/C][C]0.82[/C][C]0.6[/C][C]1.09[/C][C]0.49[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266833&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266833&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
Algebraic_Reasoning x Proportionality_and_Ratio
	0	0.33	0.67	1
0	1.91	1.41	2.53	1.15
0.1	1.09	0.8	1.45	0.66
0.2	6.27	4.62	8.33	3.79
0.3	12.53	9.23	16.65	7.58
0.4	19.34	14.25	25.7	11.71
0.5	12.53	9.23	16.65	7.58
0.6	10.08	7.43	13.39	6.1
0.7	6.54	4.82	8.69	3.96
0.8	3.81	2.81	5.07	2.31
0.9	1.09	0.8	1.45	0.66
1	0.82	0.6	1.09	0.49

Statistical Results
Pearson's Chi-squared test with simulated p-value (based on 2000 replicates)
Exact Pearson Chi Square Statistic	62.28
P value	0

\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 & 62.28 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=266833&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]62.28[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=266833&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=266833&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	62.28
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

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