FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_twosampletests_mean.wasp
Title produced by softwarePaired and Unpaired Two Samples Tests about the Mean
Date of computationWed, 13 Nov 2013 13:10:23 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Nov/13/t1384366254aunqr7cpk7r0y8q.htm/, Retrieved Sun, 28 Apr 2024 22:15:59 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=224893, Retrieved Sun, 28 Apr 2024 22:15:59 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact64

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Paired and Unpaired Two Samples Tests about the Mean] [WS 6 - H3 error] [2013-11-13 18:10:23] [048684812ca01f747ec4932e1d7a1787] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87.28	255
87.28	280.2
87.09	299.9
86.92	339.2
87.59	374.2
90.72	393.5
90.69	389.2
90.3	381.7
89.55	375.2
88.94	369
88.41	357.4
87.82	352.1
87.07	346.5
86.82	342.9
86.4	340.3
86.02	328.3
85.66	322.9
85.32	314.3
85	308.9
84.67	294
83.94	285.6
82.83	281.2
81.95	280.3
81.19	278.8
80.48	274.5
78.86	270.4
69.47	263.4
68.77	259.9
70.06	258
73.95	262.7
75.8	284.7
77.79	311.3
81.57	322.1
83.07	327
84.34	331.3
85.1	333.3
85.25	321.4
84.26	327
83.63	320
86.44	314.7
85.3	316.7
84.1	314.4
83.36	321.3
82.48	318.2
81.58	307.2
80.47	301.3
79.34	287.5
82.13	277.7
81.69	274.4
80.7	258.8
79.88	253.3
79.16	251
78.38	248.4
77.42	249.5
76.47	246.1
75.46	244.5
74.48	243.6
78.27	244
80.7	240.8
79.91	249.8
78.75	248
77.78	259.4
81.14	260.5
81.08	260.8
80.03	261.3
78.91	259.5
78.01	256.6
76.9	257.9
75.97	256.5
81.93	254.2
80.27	253.3
78.67	253.8
77.42	255.5
76.16	257.1
74.7	257.3
76.39	253.2
76.04	252.8
74.65	252
73.29	250.7
71.79	252.2
74.39	250
74.91	251
74.54	253.4
73.08	251.2
72.75	255.6
71.32	261.1
70.38	258.9
70.35	259.9
70.01	261.2
69.36	264.7
67.77	267.1
69.26	266.4
69.8	267.7
68.38	268.6
67.62	267.5
68.39	268.5
66.95	268.5
65.21	270.5
66.64	270.9
63.45	270.1
60.66	269.3
62.34	269.8
60.32	270.1
58.64	264.9
60.46	263.7
58.59	264.8
61.87	263.7
61.85	255.9
67.44	276.2
77.06	360.1
91.74	380.5
93.15	373.7
94.15	369.8
93.11	366.6
91.51	359.3
89.96	345.8
88.16	326.2
86.98	324.5
88.03	328.1
86.24	327.5
84.65	324.4
83.23	316.5
81.7	310.9
80.25	301.5
78.8	291.7
77.51	290.4
76.2	287.4
75.04	277.7
74	281.6
75.49	288
77.14	276
76.15	272.9
76.27	283
78.19	283.3
76.49	276.8
77.31	284.5
76.65	282.7
74.99	281.2
73.51	287.4
72.07	283.1
70.59	284
71.96	285.5
76.29	289.2
74.86	292.5
74.93	296.4
71.9	305.2
71.01	303.9
77.47	311.5
75.78	316.3
76.6	316.7
76.07	322.5
74.57	317.1
73.02	309.8
72.65	303.8
73.16	290.3
71.53	293.7
69.78	291.7
67.98	296.5
69.96	289.1
72.16	288.5
70.47	293.8
68.86	297.7
67.37	305.4
65.87	302.7
72.16	302.5
71.34	303
69.93	294.5
68.44	294.1
67.16	294.5
66.01	297.1
67.25	289.4
70.91	292.4
69.75	287.9
68.59	286.6
67.48	280.5
66.31	272.4
64.81	269.2
66.58	270.6
65.97	267.3
64.7	262.5
64.7	266.8
60.94	268.8
59.08	263.1
58.42	261.2
57.77	266
57.11	262.5
53.31	265.2
49.96	261.3
49.4	253.7
48.84	249.2
48.3	239.1
47.74	236.4
47.24	235.2
46.76	245.2
46.29	246.2
48.9	247.7
49.23	251.4
48.53	253.3
48.03	254.8
54.34	250
53.79	249.3
53.24	241.5
52.96	243.3
52.17	248
51.7	253
58.55	252.9
78.2	251.5
77.03	251.6
76.19	253.5
77.15	259.8
75.87	334.1
95.47	448
109.67	445.8
112.28	445
112.01	448.2
107.93	438.2
105.96	439.8
105.06	423.4
102.98	410.8
102.2	408.4
105.23	406.7
101.85	405.9
99.89	402.7
96.23	405.1
94.76	399.6
91.51	386.5
91.63	381.4
91.54	375.2
85.23	357.7
87.83	359
87.38	355
84.44	352.7
85.19	344.4
84.03	343.8
86.73	338
102.52	339
104.45	333.3
106.98	334.4
107.02	328.3
99.26	330.7
94.45	330
113.44	331.6
157.33	351.2
147.38	389.4
171.89	410.9
171.95	442.8
132.71	462.8
126.02	466.9
121.18	461.7
115.45	439.2
110.48	430.3
117.85	416.1
117.63	402.5
124.65	397.3
109.59	403.3
111.27	395.9
99.78	387.8
98.21	378.6
99.2	377.1
97.97	370.4
89.55	362
87.91	350.3
93.34	348.2
94.42	344.6
93.2	343.5
90.29	342.8
91.46	347.6
89.98	346.6
88.35	349.5
88.41	342.1
82.44	342
79.89	342.8
75.69	339.3
75.66	348.2
84.5	333.7
96.73	334.7
87.48	354
82.39	367.7
83.48	363.3
79.31	358.4
78.16	353.1
72.77	343.1
72.45	344.6
68.46	344.4
67.62	333.9
68.76	331.7
70.07	324.3
68.55	321.2
65.3	322.4
58.96	321.7
59.17	320.5
62.37	312.8
66.28	309.7
55.62	315.6
55.23	309.7
55.85	304.6
56.75	302.5
50.89	301.5
53.88	298.8
52.95	291.3
55.08	293.6
53.61	294.6
58.78	285.9
61.85	297.6
55.91	301.1
53.32	293.8
46.41	297.7
44.57	292.9
50	292.1
50	287.2
53.36	288.2
46.23	283.8
50.45	299.9
49.07	292.4
45.85	293.3
48.45	300.8
49.96	293.7
46.53	293.1
50.51	294.4
47.58	292.1
48.05	291.9
46.84	282.5
47.67	277.9
49.16	287.5
55.54	289.2
55.82	285.6
58.22	293.2
56.19	290.8
57.77	283.1
63.19	275
54.76	287.8
55.74	287.8
62.54	287.4
61.39	284
69.6	277.8
79.23	277.6
80	304.9
93.68	294
107.63	300.9
100.18	324
97.3	332.9
90.45	341.6
80.64	333.4
80.58	348.2
75.82	344.7
85.59	344.7
89.35	329.3
89.42	323.5
104.73	323.2
95.32	317.4
89.27	330.1
90.44	329.2
86.97	334.9
79.98	315.8
81.22	315.4
87.35	319.6
83.64	317.3
82.22	313.8
94.4	315.8
102.18	311.3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net
R Engine error message
Error in array(list(87.28, 255, 87.28, 280.2, 87.09, 299.9, 86.92, 339.2,  : 
  length of 'dimnames' [1] not equal to array extent
Execution halted


\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
R Engine error message & 
Error in array(list(87.28, 255, 87.28, 280.2, 87.09, 299.9, 86.92, 339.2,  : 
  length of 'dimnames' [1] not equal to array extent
Execution halted

 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=224893&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[ROW][C]R Engine error message[/C][C]
Error in array(list(87.28, 255, 87.28, 280.2, 87.09, 299.9, 86.92, 339.2,  : 
  length of 'dimnames' [1] not equal to array extent
Execution halted

[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=224893&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=224893&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 time1 seconds
R Server'George Udny Yule' @ yule.wessa.net
R Engine error message
Error in array(list(87.28, 255, 87.28, 280.2, 87.09, 299.9, 86.92, 339.2,  : 
  length of 'dimnames' [1] not equal to array extent
Execution halted


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = greater ; par5 = paired ; par6 = 0.0 ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = 0.95 ; par4 = greater ; par5 = paired ; par6 = 0.0 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1) #column number of first sample
par2 <- as.numeric(par2) #column number of second sample
par3 <- as.numeric(par3) #confidence (= 1 - alpha)
if (par5 == 'unpaired') paired <- FALSE else paired <- TRUE
par6 <- as.numeric(par6) #H0
z <- t(y)
if (par1 == par2) stop('Please, select two different column numbers')
if (par1 < 1) stop('Please, select a column number greater than zero for the first sample')
if (par2 < 1) stop('Please, select a column number greater than zero for the second sample')
if (par1 > length(z[1,])) stop('The column number for the first sample should be smaller')
if (par2 > length(z[1,])) stop('The column number for the second sample should be smaller')
if (par3 <= 0) stop('The confidence level should be larger than zero')
if (par3 >= 1) stop('The confidence level should be smaller than zero')
(r.t <- t.test(z[,par1],z[,par2],var.equal=TRUE,alternative=par4,paired=paired,mu=par6,conf.level=par3))
(v.t <- var.test(z[,par1],z[,par2],conf.level=par3))
(r.w <- t.test(z[,par1],z[,par2],var.equal=FALSE,alternative=par4,paired=paired,mu=par6,conf.level=par3))
(w.t <- wilcox.test(z[,par1],z[,par2],alternative=par4,paired=paired,mu=par6,conf.level=par3))
(ks.t <- ks.test(z[,par1],z[,par2],alternative=par4))
m1 <- mean(z[,par1],na.rm=T)
m2 <- mean(z[,par2],na.rm=T)
mdiff <- m1 - m2
newsam1 <- z[!is.na(z[,par1]),par1]
newsam2 <- z[,par2]+mdiff
newsam2 <- newsam2[!is.na(newsam2)]
(ks1.t <- ks.test(newsam1,newsam2,alternative=par4))
mydf <- data.frame(cbind(z[,par1],z[,par2]))
colnames(mydf) <- c('Variable 1','Variable 2')
bitmap(file='test1.png')
boxplot(mydf, notch=TRUE, ylab='value',main=main)
dev.off()
bitmap(file='test2.png')
qqnorm(z[,par1],main='Normal QQplot - Variable 1')
qqline(z[,par1])
dev.off()
bitmap(file='test3.png')
qqnorm(z[,par2],main='Normal QQplot - Variable 2')
qqline(z[,par2])
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Two Sample t-test (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
if(!paired){
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 1',header=TRUE)
a<-table.element(a,r.t$estimate[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 2',header=TRUE)
a<-table.element(a,r.t$estimate[[2]])
a<-table.row.end(a)
} else {
a<-table.row.start(a)
a<-table.element(a,'Difference: Mean1 - Mean2',header=TRUE)
a<-table.element(a,r.t$estimate)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'t-stat',header=TRUE)
a<-table.element(a,r.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,r.t$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,r.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,r.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,r.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(r.t$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',r.t$conf.int[1],',',r.t$conf.int[2],']',sep=''))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'F-test to compare two variances',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'F-stat',header=TRUE)
a<-table.element(a,v.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,v.t$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,v.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,v.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,v.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(v.t$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',v.t$conf.int[1],',',v.t$conf.int[2],']',sep=''))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,paste('Welch Two Sample t-test (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
if(!paired){
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 1',header=TRUE)
a<-table.element(a,r.w$estimate[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Mean of Sample 2',header=TRUE)
a<-table.element(a,r.w$estimate[[2]])
a<-table.row.end(a)
} else {
a<-table.row.start(a)
a<-table.element(a,'Difference: Mean1 - Mean2',header=TRUE)
a<-table.element(a,r.w$estimate)
a<-table.row.end(a)
}
a<-table.row.start(a)
a<-table.element(a,'t-stat',header=TRUE)
a<-table.element(a,r.w$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'df',header=TRUE)
a<-table.element(a,r.w$parameter[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,r.w$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,r.w$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,r.w$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI Level',header=TRUE)
a<-table.element(a,attr(r.w$conf.int,'conf.level'))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'CI',header=TRUE)
a<-table.element(a,paste('[',r.w$conf.int[1],',',r.w$conf.int[2],']',sep=''))
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,paste('Wicoxon rank sum test with continuity correction (',par5,')',sep=''),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'W',header=TRUE)
a<-table.element(a,w.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,w.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'H0 value',header=TRUE)
a<-table.element(a,w.t$null.value[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Alternative',header=TRUE)
a<-table.element(a,w.t$alternative)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kolmogorov-Smirnov Test to compare Distributions of two Samples',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'KS Statistic',header=TRUE)
a<-table.element(a,ks.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,ks.t$p.value)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Kolmogorov-Smirnov Test to compare Distributional Shape of two Samples',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'KS Statistic',header=TRUE)
a<-table.element(a,ks1.t$statistic[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,ks1.t$p.value)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')