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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationWed, 02 Jan 2008 09:11:57 -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/Jan/02/t1199290423f6bd3w23rmnklez.htm/, Retrieved Wed, 15 May 2024 04:24:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7757, Retrieved Wed, 15 May 2024 04:24:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact298

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Testing Mean with unknown Variance - Critical Value] [PAPER-ARIMA BACKW.] [2008-01-02 16:11:57] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-26.9187469810882
32.8744894103911
55.4109663077635
-411.74021930021
57.6733735622178
-449.467580506773
-373.137340248775
-371.885251594715
647.419901333695
22.1523877542783
120.184756405119
67.8888126135818
-152.178661617549
231.692049866116
145.757896749545
225.957394015465
337.679773111804
659.938432573688
220.144077848045
568.176791094861
348.725689044856
-773.427865318365
498.389708635609
-602.642888336038
-236.529595990579
-3.05556134451611
392.249606941302
-104.550625738118
682.677984746466
-319.622690673243
315.541864199205
-660.840435581555
-420.191538675928
-277.196633131906
214.812780622531
-48.21289276352
-710.90591577231
-581.694767903059
-463.052580808214
23.9970216115152
-281.457845514168
-536.338283959565
35.4711028984987
241.984287236391
380.351842191102
500.008616098707
182.200659428461
-675.434093805208
198.846676299458
-126.639120920316
186.007671234493
601.909320831046
20.3167706478652
-68.1288136643523
259.690822371878
-61.7095803163634
-647.712671395481
-295.901619189643
-605.509356050111
-98.0460135928702
270.083301724519
-442.28962621432
-38.8754823561344
660.951583193727
-57.644136424814
-231.023832843454
-252.085123860666
115.231008221747
748.358138305777
405.447168684859
-849.686780957183
695.69201774521
175.800002059481
244.333598889478
7.89489699683577
74.8741080775703
-21.1310364513379
462.378549020264
-214.580694131543
-464.829612842442
100.794658470219
517.088500752241
-359.030787129304
-227.250991005292
-634.829212237864
163.911850520385
844.727542077345
-309.728276359043
715.917712584614
831.323241200929
575.223430396836
-675.977091365201
964.10508600436
-985.202233407736
-90.6798552462796
-121.024470824749
-166.838259623166
-26.9771633517265
6.13859746646865
171.057950671142
18.1599008909896
-1161.16622651343
17.8684245729267
-34.0938481545102
413.4749101741
-307.711577146674
602.475786873607
540.065610424555

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7757&T=0

[TABLE]
[ROW][C]Summary of compuational 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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7757&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7757&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size108
Sample standard deviation434.325464065809
Confidence0.99
Null hypothesis0
Sample Mean7.06227402356233
2-sided Confidence Interval[ -102.542343278429 , 116.666891325554 ]
Left-sided Confidence Interval[ -91.6403973372668 , +inf ]
Right-sided Confidence Interval[ -inf, 105.764945384391 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 108 \tabularnewline
Sample standard deviation & 434.325464065809 \tabularnewline
Confidence & 0.99 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 7.06227402356233 \tabularnewline
2-sided Confidence Interval & [ -102.542343278429 , 116.666891325554 ] \tabularnewline
Left-sided Confidence Interval & [ -91.6403973372668 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  105.764945384391 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7757&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]108[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]434.325464065809[/C][/ROW]
[ROW][C]Confidence[/C][C]0.99[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]7.06227402356233[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -102.542343278429 , 116.666891325554 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -91.6403973372668 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  105.764945384391 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7757&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7757&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 size108
Sample standard deviation434.325464065809
Confidence0.99
Null hypothesis0
Sample Mean7.06227402356233
2-sided Confidence Interval[ -102.542343278429 , 116.666891325554 ]
Left-sided Confidence Interval[ -91.6403973372668 , +inf ]
Right-sided Confidence Interval[ -inf, 105.764945384391 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0 ; par2 = 24 ;
Parameters (R input):
par1 = 0.99 ; 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')