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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationMon, 18 Dec 2017 15:04:27 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/18/t1513605986nax1uhtyi8sk3yb.htm/, Retrieved Tue, 14 May 2024 17:37:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310185, Retrieved Tue, 14 May 2024 17:37:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact27

Tree of Dependent Computations

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] [] [2017-12-18 14:04:27] [767bae2faba658f23149559b7968621e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4 5
2 4
3 4
4 5
4 2
4 5
4 4
4 5
2 4
4 4
3 5
3 5
3 5
2 2
2 2
4 4
4 4
3 5
3 4
3 2
4 5
3 4
5 4
3 4
4 4
1 5
3 4
4 3
3 4
1 4
4 3
4 5
3 4
4 4
4 4
3 3
3 3
3 5
4 4
5 5
4 5
4 4
2 4
2 3
4 4
3 5
3 4
2 4
3 5
3 3
3 3
4 5
4 5
3 4
3 3
4 4
4 4
3 1
3 3
4 4
4 4
4 3
2 4
4 3
4 5
3 5
4 5
4 4
2 4
4 4
4 5
4 2
2 2
3 1
2 2
4 2
3 1
3 3
4 4
4 4
4 2
5 5
4 5
4 4
4 4
3 4
3 3
3 4
3 5
4 5
4 2
3 4
4 4
3 3
4 3
4 5
2 4
3 4
3 2
2 4
4 5
2 5
4 5
4 4
4 2
5 4
3 3
4 4
4 4
3 4
5 2
4 4
5 5
2 3
3 3
3 5
3 4
4 5
4 2
2 4
3 4
3 4
4 4
4 4
4 3
3 3
4 5
5 5
2 5
4 2
4 3
3 5
3 3
4 4
4 1
4 4
2 4
3 3
4 5
4 1
3 5
3 3
3 3
4 3
3 2
3 4
4 2
4 3
4 3
2 4
3 4
2 2
4 4
2 1
3 4
3 5
3 3
4 3
4 4
4 4
3 2
4 4
4 4
2 5
3 4
4 3
5 5
5 5
3 4
2 3
4 4
3 4
3 4
3 4
4 4
4 4
5 5
4 3
4 3

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig 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=310185&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=310185&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310185&T=0

As an alternative you can also use a QR Code:  
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 Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
The_information_provided_by_the_website_is_easy_to_understand x Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments
12345
100011
2153113
334172513
429143720
501027

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
The_information_provided_by_the_website_is_easy_to_understand  x  Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0 & 0 & 0 & 1 & 1 \tabularnewline
2 & 1 & 5 & 3 & 11 & 3 \tabularnewline
3 & 3 & 4 & 17 & 25 & 13 \tabularnewline
4 & 2 & 9 & 14 & 37 & 20 \tabularnewline
5 & 0 & 1 & 0 & 2 & 7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310185&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]The_information_provided_by_the_website_is_easy_to_understand  x  Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[C]2[/C][C]1[/C][C]5[/C][C]3[/C][C]11[/C][C]3[/C][/ROW]
[C]3[/C][C]3[/C][C]4[/C][C]17[/C][C]25[/C][C]13[/C][/ROW]
[C]4[/C][C]2[/C][C]9[/C][C]14[/C][C]37[/C][C]20[/C][/ROW]
[C]5[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310185&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310185&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Results
The_information_provided_by_the_website_is_easy_to_understand x Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments
12345
100011
2153113
334172513
429143720
501027






Tabulation of Expected Results
The_information_provided_by_the_website_is_easy_to_understand x Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments
12345
10.070.210.380.850.49
20.772.444.379.775.65
32.086.5811.7826.3215.24
42.758.715.5834.8220.16
50.341.061.94.252.46

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
The_information_provided_by_the_website_is_easy_to_understand  x  Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.07 & 0.21 & 0.38 & 0.85 & 0.49 \tabularnewline
2 & 0.77 & 2.44 & 4.37 & 9.77 & 5.65 \tabularnewline
3 & 2.08 & 6.58 & 11.78 & 26.32 & 15.24 \tabularnewline
4 & 2.75 & 8.7 & 15.58 & 34.82 & 20.16 \tabularnewline
5 & 0.34 & 1.06 & 1.9 & 4.25 & 2.46 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310185&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]The_information_provided_by_the_website_is_easy_to_understand  x  Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0.07[/C][C]0.21[/C][C]0.38[/C][C]0.85[/C][C]0.49[/C][/ROW]
[C]2[/C][C]0.77[/C][C]2.44[/C][C]4.37[/C][C]9.77[/C][C]5.65[/C][/ROW]
[C]3[/C][C]2.08[/C][C]6.58[/C][C]11.78[/C][C]26.32[/C][C]15.24[/C][/ROW]
[C]4[/C][C]2.75[/C][C]8.7[/C][C]15.58[/C][C]34.82[/C][C]20.16[/C][/ROW]
[C]5[/C][C]0.34[/C][C]1.06[/C][C]1.9[/C][C]4.25[/C][C]2.46[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310185&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310185&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
The_information_provided_by_the_website_is_easy_to_understand x Next_year,_I_will_probably_use_the_website/software_again_if_I_have_to_do_statistical_assignments
12345
10.070.210.380.850.49
20.772.444.379.775.65
32.086.5811.7826.3215.24
42.758.715.5834.8220.16
50.341.061.94.252.46






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic22.26
Degrees of Freedom16
P value0.14

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 22.26 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0.14 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310185&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]22.26[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0.14[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310185&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310185&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic22.26
Degrees of Freedom16
P value0.14


Figures (Output of Computation)

Input Parameters & R Code

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):
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')