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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationWed, 26 Nov 2008 11:11:30 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Nov/26/t1227723246btipu5i7b6maybl.htm/, Retrieved Sat, 18 May 2024 15:51:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=25685, Retrieved Sat, 18 May 2024 15:51:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact175

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Multiple Regression] [Q1 ] [2008-11-16 11:57:38] [4396f984ebeab43316cd6baa88a4fd40]
-   P   [Multiple Regression] [Q1 ] [2008-11-26 15:02:22] [4396f984ebeab43316cd6baa88a4fd40]
-   P     [Multiple Regression] [Q1 ] [2008-11-26 16:03:02] [4396f984ebeab43316cd6baa88a4fd40]
- RMPD        [Testing Mean with unknown Variance - Critical Value] [Q2 ] [2008-11-26 18:11:30] [54ae75b68e6a45c6d55fa4235827d5b3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-183.9235445
-177.0726091
-228.6351091
-237.4476091
-127.7601091
-193.0101091
-220.6351091
-164.5101091
-268.3226091
-333.6976091
-34.26010911
-154.8851091
-97.74528053
101.1056549
2.543154874
-43.26934513
-163.5818451
-162.8318451
46.54315487
26.66815487
-107.1443451
42.48065487
76.91815487
196.2931549
201.4329835
12.28391886
-0.278581137
42.90891886
87.59641886
84.34641886
57.72141886
173.8464189
-185.9660811
47.65891886
89.09641886
-68.52858114
272.6112475
146.4621829
162.8996829
10.08718285
279.7746829
212.5246829
248.8996829
-41.97531715
-5.787817149
52.83718285
274.2746829
414.6496829
310.7895114
362.6404468
26.07794684
403.2654468
327.9529468
193.7029468
317.0779468
202.2029468
321.3904468
178.0154468
16.45294684
-68.17205316
-157.0322246
-76.18128917
-81.74378917
-134.5562892
77.13121083
199.8812108
105.2562108
198.3812108
262.5687108
196.1937108
11.63121083
-145.9937892
-166.8539606
-202.0030252
43.43447482
-113.3780252
-113.6905252
-155.9405252
-210.5655252
-124.4405252
-64.25302518
-298.6280252
-154.1905252
23.18447482
-249.6756966
118.1752388
-180.3872612
-79.19976119
-81.51226119
-246.7622612
-105.3872612
-319.2622612
-72.07476119
-90.44976119
-80.01226119
119.3627388
-53.49743261
-114.6464972
-155.2089972
-50.02149721
-196.3339972
-14.58399721
-82.20899721
17.91600279
-162.8964972
-132.2714972
-16.83399721
81.54100279
275.6808314
-32.46823322
17.96926678
27.15676678
-123.1557332
108.5942668
67.96926678
34.09426678
-13.71823322
-113.0932332
54.34426678
149.7192668
153.8590954
-28.28996923
238.1475308
50.33503077
8.022530771
-61.22746923
-140.8524692
-28.72746923
9.460030771
-121.9149692
41.52253077
115.8975308
27.03735936
-91.11170524
3.325794759
-29.48670524
-73.79920524
50.95079476
-86.67420524
-9.54920524
-66.36170524
73.26329476
-216.2992052
-128.9242052
-142.7843767
27.06655875
60.50405875
35.69155875
16.37905875
-64.87094125
115.5040587
-30.37094125
87.81655875
205.4415587
-64.12094125
-322.7459413
-139.6061127
35.24482274
-4.317677263
17.86982274
2.557322737
129.3073227
-16.31767726
164.8073227
21.99482274
138.6198227
87.05732274
51.43232274
-80.42784867
-105.1918797
5.245620328
68.43312033
-0.879379672
-105.1293797
-82.75437967
-132.6293797
102.5581203
23.18312033
-180.3793797
-267.0043797
30.13544892
23.98638432
90.42388432
31.61138432
81.29888432
25.04888432
-13.57611568
33.54888432
140.7363843
132.3613843
94.79888432
4.173884316

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'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=25685&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=25685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=25685&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Hypothesis Test about the Mean - Confidence Interval
Sample size192
Sample standard deviation147.139369596026
Confidence0.95
Null hypothesis0
Sample Mean-8.0729257479187e-10
2-sided Confidence Interval[ -20.9453161296854 , 20.9453161280708 ]
Left-sided Confidence Interval[ -17.5516163622146 , +inf ]
Right-sided Confidence Interval[ -inf, 17.5516163606 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 192 \tabularnewline
Sample standard deviation & 147.139369596026 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & -8.0729257479187e-10 \tabularnewline
2-sided Confidence Interval & [ -20.9453161296854 , 20.9453161280708 ] \tabularnewline
Left-sided Confidence Interval & [ -17.5516163622146 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  17.5516163606 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=25685&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]192[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]147.139369596026[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]-8.0729257479187e-10[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -20.9453161296854 , 20.9453161280708 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -17.5516163622146 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  17.5516163606 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=25685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=25685&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:

Hypothesis Test about the Mean - Confidence Interval
Sample size192
Sample standard deviation147.139369596026
Confidence0.95
Null hypothesis0
Sample Mean-8.0729257479187e-10
2-sided Confidence Interval[ -20.9453161296854 , 20.9453161280708 ]
Left-sided Confidence Interval[ -17.5516163622146 , +inf ]
Right-sided Confidence Interval[ -inf, 17.5516163606 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; par2 = 0 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
len <- length(x)
df <- len - 1
sd <- sd(x)
mx <- mean(x)
load(file='createtable')
delta2 <- abs(qt((1-par1)/2,df)) * sd / sqrt(len)
delta1 <- abs(qt((1-par1),df)) * sd / sqrt(len)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Hypothesis Test about the Mean - Confidence Interval',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample standard deviation',header=TRUE)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample Mean',header=TRUE)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'2-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta2)
dum <- paste(dum,',')
dum <- paste(dum,mx+delta2)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Left-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta1)
dum <- paste(dum,', +inf ]')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Right-sided Confidence Interval',header=TRUE)
dum <- paste('[ -inf, ',mx+delta1)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')