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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 computationThu, 15 Dec 2016 20:00:31 +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/2016/Dec/15/t1481828448t154xi8daozd61f.htm/, Retrieved Fri, 03 May 2024 08:07:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299962, Retrieved Fri, 03 May 2024 08:07:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact51

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] [] [2016-12-15 19:00:31] [462f83e9ca944f1b841aaa868aea0854] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
15	13
13	16
14	17
13	NA
12	NA
17	16
12	NA
13	NA
13	NA
16	17
12	17
12	15
13	16
16	14
15	16
12	17
NA	NA
NA	NA
15	NA
12	NA
15	16
11	NA
13	16
13	NA
14	NA
14	NA
14	16
15	15
16	16
16	16
16	13
13	15
13	17
14	NA
13	13
14	17
12	NA
17	14
14	14
15	18
13	NA
14	17
15	13
19	16
14	15
13	15
12	NA
NA	15
14	13
15	NA
15	17
12	NA
14	NA
11	11
12	14
10	13
NA	NA
14	17
14	16
15	NA
15	17
13	16
15	16
16	16
12	15
17	12
15	17
NA	14
12	14
16	16
15	NA
15	NA
12	NA
13	NA
10	NA
14	15
11	16
12	14
14	15
12	17
14	NA
12	10
13	NA
13	17
14	NA
12	20
15	17
13	18
13	NA
11	17
12	14
16	NA
11	17
13	NA
12	17
17	NA
14	16
15	18
8	18
13	16
13	NA
15	NA
14	15
13	13
14	NA
12	NA
19	NA
15	NA
14	NA
14	16
15	NA
13	NA
15	NA
14	12
11	NA
17	16
13	16
9	NA
12	16
13	14
17	15
14	14
13	NA
16	15
14	NA
14	15
14	16
10	NA
12	NA
13	NA
14	11
18	NA
14	18
14	NA
13	11
13	NA
16	18
NA	NA
13	15
14	19
8	17
13	NA
13	14
16	NA
14	13
13	17
14	14
12	19
16	14
18	NA
16	NA
15	16
18	16
15	15
14	12
14	NA
15	17
9	NA
17	NA
11	18
15	15
NA	18
15	15
13	NA
NA	NA
15	NA
15	16
14	NA
13	16

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=299962&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=299962&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299962&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
EPSUM x TVDCSUM
1011121314151617181920
800000001100
900000000000
1000010000000
1101000012100
1210004214011
1301022373100
1401223554110
1500020455200
1600012141100
1700101120000
1800000010000
1900000010000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
EPSUM  x  TVDCSUM \tabularnewline
  & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \tabularnewline
8 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 \tabularnewline
9 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
10 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
11 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 2 & 1 & 0 & 0 \tabularnewline
12 & 1 & 0 & 0 & 0 & 4 & 2 & 1 & 4 & 0 & 1 & 1 \tabularnewline
13 & 0 & 1 & 0 & 2 & 2 & 3 & 7 & 3 & 1 & 0 & 0 \tabularnewline
14 & 0 & 1 & 2 & 2 & 3 & 5 & 5 & 4 & 1 & 1 & 0 \tabularnewline
15 & 0 & 0 & 0 & 2 & 0 & 4 & 5 & 5 & 2 & 0 & 0 \tabularnewline
16 & 0 & 0 & 0 & 1 & 2 & 1 & 4 & 1 & 1 & 0 & 0 \tabularnewline
17 & 0 & 0 & 1 & 0 & 1 & 1 & 2 & 0 & 0 & 0 & 0 \tabularnewline
18 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
19 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299962&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]EPSUM  x  TVDCSUM[/C][/ROW]
[ROW][C] [/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][C]20[/C][/ROW]
[C]8[/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]0[/C][C]0[/C][/ROW]
[C]9[/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][/ROW]
[C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]11[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]12[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]4[/C][C]2[/C][C]1[/C][C]4[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[C]13[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]2[/C][C]3[/C][C]7[/C][C]3[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]14[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][C]3[/C][C]5[/C][C]5[/C][C]4[/C][C]1[/C][C]1[/C][C]0[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]4[/C][C]5[/C][C]5[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]16[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][C]4[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]17[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]18[/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]0[/C][C]0[/C][C]0[/C][/ROW]
[C]19[/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]0[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299962&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299962&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
EPSUM x TVDCSUM
1011121314151617181920
800000001100
900000000000
1000010000000
1101000012100
1210004214011
1301022373100
1401223554110
1500020455200
1600012141100
1700101120000
1800000010000
1900000010000






Tabulation of Expected Results
EPSUM x TVDCSUM
1011121314151617181920
80.020.060.060.160.240.320.540.40.140.040.02
900000000000
100.010.030.030.080.120.160.270.20.070.020.01
110.050.150.150.40.60.81.3510.350.10.05
120.140.420.421.121.682.243.782.80.980.280.14
130.190.570.571.522.283.045.133.81.330.380.19
140.240.720.721.922.883.846.484.81.680.480.24
150.180.540.541.442.162.884.863.61.260.360.18
160.10.30.30.81.21.62.720.70.20.1
170.050.150.150.40.60.81.3510.350.10.05
180.010.030.030.080.120.160.270.20.070.020.01
190.010.030.030.080.120.160.270.20.070.020.01

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
EPSUM  x  TVDCSUM \tabularnewline
  & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \tabularnewline
8 & 0.02 & 0.06 & 0.06 & 0.16 & 0.24 & 0.32 & 0.54 & 0.4 & 0.14 & 0.04 & 0.02 \tabularnewline
9 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
10 & 0.01 & 0.03 & 0.03 & 0.08 & 0.12 & 0.16 & 0.27 & 0.2 & 0.07 & 0.02 & 0.01 \tabularnewline
11 & 0.05 & 0.15 & 0.15 & 0.4 & 0.6 & 0.8 & 1.35 & 1 & 0.35 & 0.1 & 0.05 \tabularnewline
12 & 0.14 & 0.42 & 0.42 & 1.12 & 1.68 & 2.24 & 3.78 & 2.8 & 0.98 & 0.28 & 0.14 \tabularnewline
13 & 0.19 & 0.57 & 0.57 & 1.52 & 2.28 & 3.04 & 5.13 & 3.8 & 1.33 & 0.38 & 0.19 \tabularnewline
14 & 0.24 & 0.72 & 0.72 & 1.92 & 2.88 & 3.84 & 6.48 & 4.8 & 1.68 & 0.48 & 0.24 \tabularnewline
15 & 0.18 & 0.54 & 0.54 & 1.44 & 2.16 & 2.88 & 4.86 & 3.6 & 1.26 & 0.36 & 0.18 \tabularnewline
16 & 0.1 & 0.3 & 0.3 & 0.8 & 1.2 & 1.6 & 2.7 & 2 & 0.7 & 0.2 & 0.1 \tabularnewline
17 & 0.05 & 0.15 & 0.15 & 0.4 & 0.6 & 0.8 & 1.35 & 1 & 0.35 & 0.1 & 0.05 \tabularnewline
18 & 0.01 & 0.03 & 0.03 & 0.08 & 0.12 & 0.16 & 0.27 & 0.2 & 0.07 & 0.02 & 0.01 \tabularnewline
19 & 0.01 & 0.03 & 0.03 & 0.08 & 0.12 & 0.16 & 0.27 & 0.2 & 0.07 & 0.02 & 0.01 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299962&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]EPSUM  x  TVDCSUM[/C][/ROW]
[ROW][C] [/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][C]20[/C][/ROW]
[C]8[/C][C]0.02[/C][C]0.06[/C][C]0.06[/C][C]0.16[/C][C]0.24[/C][C]0.32[/C][C]0.54[/C][C]0.4[/C][C]0.14[/C][C]0.04[/C][C]0.02[/C][/ROW]
[C]9[/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][/ROW]
[C]10[/C][C]0.01[/C][C]0.03[/C][C]0.03[/C][C]0.08[/C][C]0.12[/C][C]0.16[/C][C]0.27[/C][C]0.2[/C][C]0.07[/C][C]0.02[/C][C]0.01[/C][/ROW]
[C]11[/C][C]0.05[/C][C]0.15[/C][C]0.15[/C][C]0.4[/C][C]0.6[/C][C]0.8[/C][C]1.35[/C][C]1[/C][C]0.35[/C][C]0.1[/C][C]0.05[/C][/ROW]
[C]12[/C][C]0.14[/C][C]0.42[/C][C]0.42[/C][C]1.12[/C][C]1.68[/C][C]2.24[/C][C]3.78[/C][C]2.8[/C][C]0.98[/C][C]0.28[/C][C]0.14[/C][/ROW]
[C]13[/C][C]0.19[/C][C]0.57[/C][C]0.57[/C][C]1.52[/C][C]2.28[/C][C]3.04[/C][C]5.13[/C][C]3.8[/C][C]1.33[/C][C]0.38[/C][C]0.19[/C][/ROW]
[C]14[/C][C]0.24[/C][C]0.72[/C][C]0.72[/C][C]1.92[/C][C]2.88[/C][C]3.84[/C][C]6.48[/C][C]4.8[/C][C]1.68[/C][C]0.48[/C][C]0.24[/C][/ROW]
[C]15[/C][C]0.18[/C][C]0.54[/C][C]0.54[/C][C]1.44[/C][C]2.16[/C][C]2.88[/C][C]4.86[/C][C]3.6[/C][C]1.26[/C][C]0.36[/C][C]0.18[/C][/ROW]
[C]16[/C][C]0.1[/C][C]0.3[/C][C]0.3[/C][C]0.8[/C][C]1.2[/C][C]1.6[/C][C]2.7[/C][C]2[/C][C]0.7[/C][C]0.2[/C][C]0.1[/C][/ROW]
[C]17[/C][C]0.05[/C][C]0.15[/C][C]0.15[/C][C]0.4[/C][C]0.6[/C][C]0.8[/C][C]1.35[/C][C]1[/C][C]0.35[/C][C]0.1[/C][C]0.05[/C][/ROW]
[C]18[/C][C]0.01[/C][C]0.03[/C][C]0.03[/C][C]0.08[/C][C]0.12[/C][C]0.16[/C][C]0.27[/C][C]0.2[/C][C]0.07[/C][C]0.02[/C][C]0.01[/C][/ROW]
[C]19[/C][C]0.01[/C][C]0.03[/C][C]0.03[/C][C]0.08[/C][C]0.12[/C][C]0.16[/C][C]0.27[/C][C]0.2[/C][C]0.07[/C][C]0.02[/C][C]0.01[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299962&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299962&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
EPSUM x TVDCSUM
1011121314151617181920
80.020.060.060.160.240.320.540.40.140.040.02
900000000000
100.010.030.030.080.120.160.270.20.070.020.01
110.050.150.150.40.60.81.3510.350.10.05
120.140.420.421.121.682.243.782.80.980.280.14
130.190.570.571.522.283.045.133.81.330.380.19
140.240.720.721.922.883.846.484.81.680.480.24
150.180.540.541.442.162.884.863.61.260.360.18
160.10.30.30.81.21.62.720.70.20.1
170.050.150.150.40.60.81.3510.350.10.05
180.010.030.030.080.120.160.270.20.070.020.01
190.010.030.030.080.120.160.270.20.070.020.01






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square StatisticNaN
Degrees of Freedom110
P valueNaN

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & NaN \tabularnewline
Degrees of Freedom & 110 \tabularnewline
P value & NaN \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299962&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]NaN[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]110[/C][/ROW]
[ROW][C]P value[/C][C]NaN[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299962&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299962&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 StatisticNaN
Degrees of Freedom110
P valueNaN


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = two.sided ; par5 = unpaired ; par6 = 0.0 ;
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')