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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 computationSun, 14 Dec 2014 11:33:03 +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/14/t1418556814livj9t1hwskvxox.htm/, Retrieved Thu, 16 May 2024 11:06:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267451, Retrieved Thu, 16 May 2024 11:06:01 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Bootstrap Plot - Central Tendency] [] [2014-11-04 10:49:59] [32b17a345b130fdf5cc88718ed94a974]
-    D  [Bootstrap Plot - Central Tendency] [] [2014-12-13 20:27:13] [8f0f7d8870e334acea674e48ede2c797]
- RMPD      [Testing Mean with unknown Variance - Critical Value] [] [2014-12-14 11:33:03] [a97fb05c06a04cb9398859e294d4eb9c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-4.27791
34.7317
-8.64075
-0.328568
33.5756
-26.6184
-26.4893
-0.441997
16.539
-38.8372
63.3774
38.6653
-19.727
4.12145
-18.6939
11.4978
-12.8698
-20.219
20.4518
-18.5627
0.591859
24.5708
-14.2738
14.1122
27.5253
-6.01334
-23.3625
-29.2387
-0.95199
40.65
-7.42194
36.7659
46.5858
17.1041
17.1339
39.1
37.3241
15.8342
20.6053
-1.34888
-18.3336
5.88315
3.24557
25.6868
2.20964
2.66188
9.37267
6.82545
-26.079
5.8751
27.6959
17.8983
-19.978
-1.94792
-16.3411
1.48271
-13.1618
-1.41653
4.92832
-21.7146
11.9629
0.710745
38.4861
-50.6929
10.4626
15.283
-2.18355
-19.5889
-8.07609
11.5571
31.9772
5.16677
47.0483
-27.8685
30.1541
2.55884
68.9409
6.38428
20.7367
14.1086
21.9279
-28.4885
-22.1138
5.28836
-7.07211
10.4943
-4.05707
-15.9959
-8.49194
-18.7145
7.18354
-13.2506
27.211
-31.8653
-17.7936
-27.5299
18.209
-11.9025
-42.9355
-9.78619
0.183474
-32.8626
4.97127
-39.247
-26.6281
-24.3556
-6.59482
-29.472
-12.2773
-34.5339
2.24069
35.4566
-4.36551
7.57695
-1.74565
-12.5965
-1.74151
-26.1197
-11.7943
9.39099
-44.6021
-2.57324
-11.6591
1.26088
0.457117
-17.177
0.917461
-5.84016
24.1891
-30.9971
28.3648
-17.5735
-15.4827
-0.0896821
4.27147
18.0731
-41.8084

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'Gertrude Mary Cox' @ cox.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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267451&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267451&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267451&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'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size137
Sample standard deviation22.6893522686205
Confidence0.95
Null hypothesis0
Sample Mean6.48905109332871e-07
2-sided Confidence Interval[ -3.83346568805402 , 3.83346698586424 ]
Left-sided Confidence Interval[ -3.21038752331382 , +inf ]
Right-sided Confidence Interval[ -inf, 3.21038882112404 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 137 \tabularnewline
Sample standard deviation & 22.6893522686205 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 6.48905109332871e-07 \tabularnewline
2-sided Confidence Interval & [ -3.83346568805402 , 3.83346698586424 ] \tabularnewline
Left-sided Confidence Interval & [ -3.21038752331382 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  3.21038882112404 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267451&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]137[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]22.6893522686205[/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]6.48905109332871e-07[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -3.83346568805402 , 3.83346698586424 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -3.21038752331382 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  3.21038882112404 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267451&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267451&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 size137
Sample standard deviation22.6893522686205
Confidence0.95
Null hypothesis0
Sample Mean6.48905109332871e-07
2-sided Confidence Interval[ -3.83346568805402 , 3.83346698586424 ]
Left-sided Confidence Interval[ -3.21038752331382 , +inf ]
Right-sided Confidence Interval[ -inf, 3.21038882112404 ]


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')