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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 computationTue, 16 Dec 2014 13:52:06 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/16/t1418737944uvgg3ktzpzv10o5.htm/, Retrieved Thu, 16 May 2024 21:56:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=269559, Retrieved Thu, 16 May 2024 21:56:58 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact65

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] [] [2014-12-16 13:52:06] [dc060611fd89d91eb1d5c55ae338991b] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13 7.5
11 6.5
14 1.0
15 1.0
14 5.5
11 8.5
13 6.5
16 4.5
14 2.0
14 5.0
15 0.5
13 5.0
14 2.5
11 5.0
12 5.5
14 3.5
12 4.0
15 6.5
14 4.5
12 5.5
12 4.0
12 7.5
14 4.0
16 5.5
12 2.5
12 5.5
14 3.5
15 4.5
14 4.5
13 6.0
16 5.0
15 6.5
13 5.0
16 6.0
16 4.5
15 5.0
13 5.0
12 6.5
14 7.0
14 4.5
10 8.5
16 3.5
14 6.0
14 1.5
15 3.5
16 7.5
15 5.0
13 6.5
12 6.5
12 6.5
14 7.0
15 1.5
11 4.0
14 4.5
16 0.0
13 3.5
11 4.5
12 0.0
12 3.0
14 3.5
12 3.0
13 1.0
14 5.5

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269559&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269559&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269559&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Tabulation of Results
STRESSTOT x Ex
00.511.522.533.544.555.566.577.58.5
1000000000000000001
1100000000111001001
1210000120200303010
1300100001003012010
1400111103141210200
1501110001012002000
1610000001021110010

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline STRESSTOT x Ex \tabularnewline & 0 & 0.5 & 1 & 1.5 & 2 & 2.5 & 3 & 3.5 & 4 & 4.5 & 5 & 5.5 & 6 & 6.5 & 7 & 7.5 & 8.5 \tabularnewline 10 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline 11 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 \tabularnewline 12 & 1 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 2 & 0 & 0 & 3 & 0 & 3 & 0 & 1 & 0 \tabularnewline 13 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 3 & 0 & 1 & 2 & 0 & 1 & 0 \tabularnewline 14 & 0 & 0 & 1 & 1 & 1 & 1 & 0 & 3 & 1 & 4 & 1 & 2 & 1 & 0 & 2 & 0 & 0 \tabularnewline 15 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 1 & 0 & 1 & 2 & 0 & 0 & 2 & 0 & 0 & 0 \tabularnewline 16 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 1 & 1 & 1 & 0 & 0 & 1 & 0 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=269559&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]STRESSTOT x Ex[/C][/ROW] [ROW][C] [/C][C]0[/C][C]0.5[/C][C]1[/C][C]1.5[/C][C]2[/C][C]2.5[/C][C]3[/C][C]3.5[/C][C]4[/C][C]4.5[/C][C]5[/C][C]5.5[/C][C]6[/C][C]6.5[/C][C]7[/C][C]7.5[/C][C]8.5[/C][/ROW] [C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW] [C]11[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][/ROW] [C]12[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]3[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]13[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]3[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]14[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]3[/C][C]1[/C][C]4[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][/ROW] [C]15[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]16[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=269559&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269559&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
STRESSTOT x Ex
00.511.522.533.544.555.566.577.58.5
1000000000000000001
1100000000111001001
1210000120200303010
1300100001003012010
1400111103141210200
1501110001012002000
1610000001021110010






Tabulation of Expected Results
STRESSTOT x Ex
00.511.522.533.544.555.566.577.58.5
100.030.020.050.030.020.030.030.10.060.130.130.10.050.130.030.050.03
110.160.080.240.160.080.160.160.480.320.630.630.480.240.630.160.240.16
120.410.210.620.410.210.410.411.240.831.651.651.240.621.650.410.620.41
130.290.140.430.290.140.290.290.860.571.141.140.860.431.140.290.430.29
140.570.290.860.570.290.570.571.711.142.292.291.710.862.290.570.860.57
150.290.140.430.290.140.290.290.860.571.141.140.860.431.140.290.430.29
160.250.130.380.250.130.250.250.760.511.021.020.760.381.020.250.380.25

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline STRESSTOT x Ex \tabularnewline & 0 & 0.5 & 1 & 1.5 & 2 & 2.5 & 3 & 3.5 & 4 & 4.5 & 5 & 5.5 & 6 & 6.5 & 7 & 7.5 & 8.5 \tabularnewline 10 & 0.03 & 0.02 & 0.05 & 0.03 & 0.02 & 0.03 & 0.03 & 0.1 & 0.06 & 0.13 & 0.13 & 0.1 & 0.05 & 0.13 & 0.03 & 0.05 & 0.03 \tabularnewline 11 & 0.16 & 0.08 & 0.24 & 0.16 & 0.08 & 0.16 & 0.16 & 0.48 & 0.32 & 0.63 & 0.63 & 0.48 & 0.24 & 0.63 & 0.16 & 0.24 & 0.16 \tabularnewline 12 & 0.41 & 0.21 & 0.62 & 0.41 & 0.21 & 0.41 & 0.41 & 1.24 & 0.83 & 1.65 & 1.65 & 1.24 & 0.62 & 1.65 & 0.41 & 0.62 & 0.41 \tabularnewline 13 & 0.29 & 0.14 & 0.43 & 0.29 & 0.14 & 0.29 & 0.29 & 0.86 & 0.57 & 1.14 & 1.14 & 0.86 & 0.43 & 1.14 & 0.29 & 0.43 & 0.29 \tabularnewline 14 & 0.57 & 0.29 & 0.86 & 0.57 & 0.29 & 0.57 & 0.57 & 1.71 & 1.14 & 2.29 & 2.29 & 1.71 & 0.86 & 2.29 & 0.57 & 0.86 & 0.57 \tabularnewline 15 & 0.29 & 0.14 & 0.43 & 0.29 & 0.14 & 0.29 & 0.29 & 0.86 & 0.57 & 1.14 & 1.14 & 0.86 & 0.43 & 1.14 & 0.29 & 0.43 & 0.29 \tabularnewline 16 & 0.25 & 0.13 & 0.38 & 0.25 & 0.13 & 0.25 & 0.25 & 0.76 & 0.51 & 1.02 & 1.02 & 0.76 & 0.38 & 1.02 & 0.25 & 0.38 & 0.25 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=269559&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]STRESSTOT x Ex[/C][/ROW] [ROW][C] [/C][C]0[/C][C]0.5[/C][C]1[/C][C]1.5[/C][C]2[/C][C]2.5[/C][C]3[/C][C]3.5[/C][C]4[/C][C]4.5[/C][C]5[/C][C]5.5[/C][C]6[/C][C]6.5[/C][C]7[/C][C]7.5[/C][C]8.5[/C][/ROW] [C]10[/C][C]0.03[/C][C]0.02[/C][C]0.05[/C][C]0.03[/C][C]0.02[/C][C]0.03[/C][C]0.03[/C][C]0.1[/C][C]0.06[/C][C]0.13[/C][C]0.13[/C][C]0.1[/C][C]0.05[/C][C]0.13[/C][C]0.03[/C][C]0.05[/C][C]0.03[/C][/ROW] [C]11[/C][C]0.16[/C][C]0.08[/C][C]0.24[/C][C]0.16[/C][C]0.08[/C][C]0.16[/C][C]0.16[/C][C]0.48[/C][C]0.32[/C][C]0.63[/C][C]0.63[/C][C]0.48[/C][C]0.24[/C][C]0.63[/C][C]0.16[/C][C]0.24[/C][C]0.16[/C][/ROW] [C]12[/C][C]0.41[/C][C]0.21[/C][C]0.62[/C][C]0.41[/C][C]0.21[/C][C]0.41[/C][C]0.41[/C][C]1.24[/C][C]0.83[/C][C]1.65[/C][C]1.65[/C][C]1.24[/C][C]0.62[/C][C]1.65[/C][C]0.41[/C][C]0.62[/C][C]0.41[/C][/ROW] [C]13[/C][C]0.29[/C][C]0.14[/C][C]0.43[/C][C]0.29[/C][C]0.14[/C][C]0.29[/C][C]0.29[/C][C]0.86[/C][C]0.57[/C][C]1.14[/C][C]1.14[/C][C]0.86[/C][C]0.43[/C][C]1.14[/C][C]0.29[/C][C]0.43[/C][C]0.29[/C][/ROW] [C]14[/C][C]0.57[/C][C]0.29[/C][C]0.86[/C][C]0.57[/C][C]0.29[/C][C]0.57[/C][C]0.57[/C][C]1.71[/C][C]1.14[/C][C]2.29[/C][C]2.29[/C][C]1.71[/C][C]0.86[/C][C]2.29[/C][C]0.57[/C][C]0.86[/C][C]0.57[/C][/ROW] [C]15[/C][C]0.29[/C][C]0.14[/C][C]0.43[/C][C]0.29[/C][C]0.14[/C][C]0.29[/C][C]0.29[/C][C]0.86[/C][C]0.57[/C][C]1.14[/C][C]1.14[/C][C]0.86[/C][C]0.43[/C][C]1.14[/C][C]0.29[/C][C]0.43[/C][C]0.29[/C][/ROW] [C]16[/C][C]0.25[/C][C]0.13[/C][C]0.38[/C][C]0.25[/C][C]0.13[/C][C]0.25[/C][C]0.25[/C][C]0.76[/C][C]0.51[/C][C]1.02[/C][C]1.02[/C][C]0.76[/C][C]0.38[/C][C]1.02[/C][C]0.25[/C][C]0.38[/C][C]0.25[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=269559&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269559&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
STRESSTOT x Ex
00.511.522.533.544.555.566.577.58.5
100.030.020.050.030.020.030.030.10.060.130.130.10.050.130.030.050.03
110.160.080.240.160.080.160.160.480.320.630.630.480.240.630.160.240.16
120.410.210.620.410.210.410.411.240.831.651.651.240.621.650.410.620.41
130.290.140.430.290.140.290.290.860.571.141.140.860.431.140.290.430.29
140.570.290.860.570.290.570.571.711.142.292.291.710.862.290.570.860.57
150.290.140.430.290.140.290.290.860.571.141.140.860.431.140.290.430.29
160.250.130.380.250.130.250.250.760.511.021.020.760.381.020.250.380.25






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic106.78
Degrees of Freedom96
P value0.21

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 106.78 \tabularnewline
Degrees of Freedom & 96 \tabularnewline
P value & 0.21 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=269559&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]106.78[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]96[/C][/ROW]
[ROW][C]P value[/C][C]0.21[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=269559&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=269559&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 Statistic106.78
Degrees of Freedom96
P value0.21


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')