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Author

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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, 29 Nov 2017 11:28:10 +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/Nov/29/t15119512989u1xo3mfyus0nus.htm/, Retrieved Sat, 18 May 2024 14:42:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=308288, Retrieved Sat, 18 May 2024 14:42:09 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

105

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] [] [2017-11-29 10:28:10] [735c2f340331127bedaa54429b3079f9] [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	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=308288&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=308288&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308288&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
Response x Treatment
	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
0	0	1	3	12	26	24	16	29	19	18	16	16	8	13	2	4	1
1	1	0	4	12	11	17	15	22	20	17	17	14	16	9	6	4	2

\begin{tabular}{lllllllll}
\hline

Tabulation of Results \tabularnewline

Response x Treatment \tabularnewline & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline 0 & 0 & 1 & 3 & 12 & 26 & 24 & 16 & 29 & 19 & 18 & 16 & 16 & 8 & 13 & 2 & 4 & 1 \tabularnewline 1 & 1 & 0 & 4 & 12 & 11 & 17 & 15 & 22 & 20 & 17 & 17 & 14 & 16 & 9 & 6 & 4 & 2 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=308288&T=1

[TABLE]
[ROW]

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

Response x Treatment[/C][/ROW] [ROW][C] [/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][/ROW] [C]0[/C][C]0[/C][C]1[/C][C]3[/C][C]12[/C][C]26[/C][C]24[/C][C]16[/C][C]29[/C][C]19[/C][C]18[/C][C]16[/C][C]16[/C][C]8[/C][C]13[/C][C]2[/C][C]4[/C][C]1[/C][/ROW] [C]1[/C][C]1[/C][C]0[/C][C]4[/C][C]12[/C][C]11[/C][C]17[/C][C]15[/C][C]22[/C][C]20[/C][C]17[/C][C]17[/C][C]14[/C][C]16[/C][C]9[/C][C]6[/C][C]4[/C][C]2[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308288&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308288&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
Response x Treatment
	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
0	0	1	3	12	26	24	16	29	19	18	16	16	8	13	2	4	1
1	1	0	4	12	11	17	15	22	20	17	17	14	16	9	6	4	2

Tabulation of Expected Results
Response x Treatment
	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
0	0.53	0.53	3.69	12.64	19.48	21.59	16.32	26.86	20.54	18.43	17.38	15.8	12.64	11.58	4.21	4.21	1.58
1	0.47	0.47	3.31	11.36	17.52	19.41	14.68	24.14	18.46	16.57	15.62	14.2	11.36	10.42	3.79	3.79	1.42

\begin{tabular}{lllllllll}
\hline

Tabulation of Expected Results \tabularnewline

Response x Treatment \tabularnewline & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 \tabularnewline 0 & 0.53 & 0.53 & 3.69 & 12.64 & 19.48 & 21.59 & 16.32 & 26.86 & 20.54 & 18.43 & 17.38 & 15.8 & 12.64 & 11.58 & 4.21 & 4.21 & 1.58 \tabularnewline 1 & 0.47 & 0.47 & 3.31 & 11.36 & 17.52 & 19.41 & 14.68 & 24.14 & 18.46 & 16.57 & 15.62 & 14.2 & 11.36 & 10.42 & 3.79 & 3.79 & 1.42 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=308288&T=2

[TABLE]
[ROW]

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

Response x Treatment[/C][/ROW] [ROW][C] [/C][C]3[/C][C]4[/C][C]5[/C][C]6[/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][/ROW] [C]0[/C][C]0.53[/C][C]0.53[/C][C]3.69[/C][C]12.64[/C][C]19.48[/C][C]21.59[/C][C]16.32[/C][C]26.86[/C][C]20.54[/C][C]18.43[/C][C]17.38[/C][C]15.8[/C][C]12.64[/C][C]11.58[/C][C]4.21[/C][C]4.21[/C][C]1.58[/C][/ROW] [C]1[/C][C]0.47[/C][C]0.47[/C][C]3.31[/C][C]11.36[/C][C]17.52[/C][C]19.41[/C][C]14.68[/C][C]24.14[/C][C]18.46[/C][C]16.57[/C][C]15.62[/C][C]14.2[/C][C]11.36[/C][C]10.42[/C][C]3.79[/C][C]3.79[/C][C]1.42[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=308288&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308288&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
Response x Treatment
	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
0	0.53	0.53	3.69	12.64	19.48	21.59	16.32	26.86	20.54	18.43	17.38	15.8	12.64	11.58	4.21	4.21	1.58
1	0.47	0.47	3.31	11.36	17.52	19.41	14.68	24.14	18.46	16.57	15.62	14.2	11.36	10.42	3.79	3.79	1.42

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	15.28
Degrees of Freedom	16
P value	0.5

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 15.28 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=308288&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]15.28[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=308288&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=308288&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	15.28
Degrees of Freedom	16
P value	0.5

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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

Parameters (R input):

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

R code (references can be found in the software module):

par3 <- 'Pearson Chi-Squared'
par2 <- ''
par1 <- ''
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