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Author*The author of this computation has been verified*
R Software Modulerwasp_multipleregression.wasp
Title produced by softwareMultiple Regression
Date of computationWed, 15 Dec 2010 19:03:30 +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/2010/Dec/15/t12924398151re7ki30sx0emcl.htm/, Retrieved Fri, 03 May 2024 10:09:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110663, Retrieved Fri, 03 May 2024 10:09:30 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact117
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Multiple Regression] [Science Experimen...] [2010-12-15 19:03:30] [13dfa60174f50d862e8699db2153bfc5] [Current]
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Dataseries X:
6.3	0.301029996	0.653212514	0	0.819543936	1.62324929	3	1	3
2.1	0.255272505	1.838849091	3.406028945	3.663040975	2.79518459	3	5	4
9.1	-0.15490196	1.431363764	1.02325246	2.254064453	2.255272505	4	4	4
15.8	0.591064607	1.278753601	-1.638272164	-0.522878745	1.544068044	1	1	1
5.2	0	1.482873584	2.204119983	2.227886705	2.593286067	4	5	4
10.9	0.556302501	1.447158031	0.51851394	1.408239965	1.799340549	1	2	1
8.3	0.146128036	1.698970004	1.717337583	2.643452676	2.361727836	1	1	1
11	0.176091259	0.84509804	-0.37161107	0.806179974	2.049218023	5	4	4
3.2	-0.15490196	1.477121255	2.667452953	2.626340367	2.44870632	5	5	5
6.3	0.322219295	0.544068044	-1.124938737	0.079181246	1.62324929	1	1	1
6.6	0.612783857	0.77815125	-0.105130343	0.544068044	1.62324929	2	2	2
9.5	0.079181246	1.017033339	-0.698970004	0.698970004	2.079181246	2	2	2
3.3	-0.301029996	1.301029996	1.441852176	2.06069784	2.170261715	5	5	5
11	0.531478917	0.591064607	-0.920818754	0	1.204119983	3	1	2
4.7	0.176091259	1.612783857	1.929418926	2.511883361	2.491361694	1	3	1
10.4	0.531478917	0.954242509	-0.995678626	0.602059991	1.447158031	5	1	3
7.4	-0.096910013	0.880813592	0.017033339	0.740362689	1.832508913	5	3	4
2.1	-0.096910013	1.662757832	2.716837723	2.8162413	2.526339277	5	5	5
17.9	0.301029996	1.380211242	-2	-0.602059991	1.698970004	1	1	1
6.1	0.278753601	2	1.792391689	3.120573931	2.426511261	1	1	1
11.9	0.113943352	0.505149978	-1.638272164	-0.397940009	1.278753601	4	1	3
13.8	0.748188027	0.698970004	0.230448921	0.799340549	1.079181246	2	1	1
14.3	0.491361694	0.812913357	0.544068044	1.033423755	2.079181246	2	1	1
15.2	0.255272505	1.079181246	-0.318758763	1.190331698	2.146128036	2	2	2
10	-0.045757491	1.305351369	1	2.06069784	2.230448921	4	4	4
11.9	0.255272505	1.113943352	0.209515015	1.056904851	1.230448921	2	1	2
6.5	0.278753601	1.431363764	2.283301229	2.255272505	2.06069784	4	4	4
7.5	-0.045757491	1.255272505	0.397940009	1.08278537	1.491361694	5	5	5
10.6	0.414973348	0.672097858	-0.552841969	0.278753601	1.322219295	3	1	3
7.4	0.380211242	0.991226076	0.626853415	1.702430536	1.716003344	1	1	1
8.4	0.079181246	1.462397998	0.832508913	2.252853031	2.214843848	2	3	2
5.7	-0.045757491	0.84509804	-0.124938737	1.089905111	2.352182518	2	2	2
4.9	-0.301029996	0.77815125	0.556302501	1.322219295	2.352182518	3	2	3
3.2	-0.22184875	1.301029996	1.744292983	2.243038049	2.178976947	5	5	5
11	0.361727836	0.653212514	-0.045757491	0.414973348	1.77815125	2	1	2
4.9	-0.301029996	0.875061263	0.301029996	1.089905111	2.301029996	3	1	3
13.2	0.414973348	0.361727836	-0.982966661	0.397940009	1.662757832	3	2	2
9.7	-0.22184875	1.380211242	0.622214023	1.763427994	2.322219295	4	3	4
12.8	0.819543936	0.477121255	0.544068044	0.591064607 1.146128036	2	1	1




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time8 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 8 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110663&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]8 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110663&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110663&T=0

As an alternative you can also use a 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 time8 seconds
R Server'George Udny Yule' @ 72.249.76.132







Multiple Linear Regression - Estimated Regression Equation
SWS[t] = + 7.19519299579455 + 3.36679474202788PS[t] + 3.43730615240639L[t] -1.65097896744842Wb[t] -0.880440616381254Wbr[t] -0.315657209275309Tg[t] + 1.33733451027365P[t] + 0.314979429813487S[t] -1.8837396565904D[t] + e[t]

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Estimated Regression Equation \tabularnewline
SWS[t] =  +  7.19519299579455 +  3.36679474202788PS[t] +  3.43730615240639L[t] -1.65097896744842Wb[t] -0.880440616381254Wbr[t] -0.315657209275309Tg[t] +  1.33733451027365P[t] +  0.314979429813487S[t] -1.8837396565904D[t]  + e[t] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110663&T=1

[TABLE]
[ROW][C]Multiple Linear Regression - Estimated Regression Equation[/C][/ROW]
[ROW][C]SWS[t] =  +  7.19519299579455 +  3.36679474202788PS[t] +  3.43730615240639L[t] -1.65097896744842Wb[t] -0.880440616381254Wbr[t] -0.315657209275309Tg[t] +  1.33733451027365P[t] +  0.314979429813487S[t] -1.8837396565904D[t]  + e[t][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110663&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110663&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Estimated Regression Equation
SWS[t] = + 7.19519299579455 + 3.36679474202788PS[t] + 3.43730615240639L[t] -1.65097896744842Wb[t] -0.880440616381254Wbr[t] -0.315657209275309Tg[t] + 1.33733451027365P[t] + 0.314979429813487S[t] -1.8837396565904D[t] + e[t]







Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)7.195192995794554.5167291.5930.1216410.060821
PS3.366794742027882.7451371.22650.2295660.114783
L3.437306152406391.7820171.92890.0632540.031627
Wb-1.650978967448421.157343-1.42650.1640420.082021
Wbr-0.8804406163812541.620254-0.54340.5908720.295436
Tg-0.3156572092753091.911325-0.16520.8699330.434967
P1.337334510273650.9937341.34580.1884610.09423
S0.3149794298134870.6260660.50310.6185620.309281
D-1.88373965659041.344971-1.40060.1715990.085799

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Ordinary Least Squares \tabularnewline
Variable & Parameter & S.D. & T-STATH0: parameter = 0 & 2-tail p-value & 1-tail p-value \tabularnewline
(Intercept) & 7.19519299579455 & 4.516729 & 1.593 & 0.121641 & 0.060821 \tabularnewline
PS & 3.36679474202788 & 2.745137 & 1.2265 & 0.229566 & 0.114783 \tabularnewline
L & 3.43730615240639 & 1.782017 & 1.9289 & 0.063254 & 0.031627 \tabularnewline
Wb & -1.65097896744842 & 1.157343 & -1.4265 & 0.164042 & 0.082021 \tabularnewline
Wbr & -0.880440616381254 & 1.620254 & -0.5434 & 0.590872 & 0.295436 \tabularnewline
Tg & -0.315657209275309 & 1.911325 & -0.1652 & 0.869933 & 0.434967 \tabularnewline
P & 1.33733451027365 & 0.993734 & 1.3458 & 0.188461 & 0.09423 \tabularnewline
S & 0.314979429813487 & 0.626066 & 0.5031 & 0.618562 & 0.309281 \tabularnewline
D & -1.8837396565904 & 1.344971 & -1.4006 & 0.171599 & 0.085799 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110663&T=2

[TABLE]
[ROW][C]Multiple Linear Regression - Ordinary Least Squares[/C][/ROW]
[ROW][C]Variable[/C][C]Parameter[/C][C]S.D.[/C][C]T-STATH0: parameter = 0[/C][C]2-tail p-value[/C][C]1-tail p-value[/C][/ROW]
[ROW][C](Intercept)[/C][C]7.19519299579455[/C][C]4.516729[/C][C]1.593[/C][C]0.121641[/C][C]0.060821[/C][/ROW]
[ROW][C]PS[/C][C]3.36679474202788[/C][C]2.745137[/C][C]1.2265[/C][C]0.229566[/C][C]0.114783[/C][/ROW]
[ROW][C]L[/C][C]3.43730615240639[/C][C]1.782017[/C][C]1.9289[/C][C]0.063254[/C][C]0.031627[/C][/ROW]
[ROW][C]Wb[/C][C]-1.65097896744842[/C][C]1.157343[/C][C]-1.4265[/C][C]0.164042[/C][C]0.082021[/C][/ROW]
[ROW][C]Wbr[/C][C]-0.880440616381254[/C][C]1.620254[/C][C]-0.5434[/C][C]0.590872[/C][C]0.295436[/C][/ROW]
[ROW][C]Tg[/C][C]-0.315657209275309[/C][C]1.911325[/C][C]-0.1652[/C][C]0.869933[/C][C]0.434967[/C][/ROW]
[ROW][C]P[/C][C]1.33733451027365[/C][C]0.993734[/C][C]1.3458[/C][C]0.188461[/C][C]0.09423[/C][/ROW]
[ROW][C]S[/C][C]0.314979429813487[/C][C]0.626066[/C][C]0.5031[/C][C]0.618562[/C][C]0.309281[/C][/ROW]
[ROW][C]D[/C][C]-1.8837396565904[/C][C]1.344971[/C][C]-1.4006[/C][C]0.171599[/C][C]0.085799[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110663&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110663&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STATH0: parameter = 02-tail p-value1-tail p-value
(Intercept)7.195192995794554.5167291.5930.1216410.060821
PS3.366794742027882.7451371.22650.2295660.114783
L3.437306152406391.7820171.92890.0632540.031627
Wb-1.650978967448421.157343-1.42650.1640420.082021
Wbr-0.8804406163812541.620254-0.54340.5908720.295436
Tg-0.3156572092753091.911325-0.16520.8699330.434967
P1.337334510273650.9937341.34580.1884610.09423
S0.3149794298134870.6260660.50310.6185620.309281
D-1.88373965659041.344971-1.40060.1715990.085799







Multiple Linear Regression - Regression Statistics
Multiple R0.827535230258193
R-squared0.684814557318481
Adjusted R-squared0.600765105936743
F-TEST (value)8.14775761245805
F-TEST (DF numerator)8
F-TEST (DF denominator)30
p-value8.60521098511313e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.50737645315805
Sum Squared Residuals188.608100335543

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Regression Statistics \tabularnewline
Multiple R & 0.827535230258193 \tabularnewline
R-squared & 0.684814557318481 \tabularnewline
Adjusted R-squared & 0.600765105936743 \tabularnewline
F-TEST (value) & 8.14775761245805 \tabularnewline
F-TEST (DF numerator) & 8 \tabularnewline
F-TEST (DF denominator) & 30 \tabularnewline
p-value & 8.60521098511313e-06 \tabularnewline
Multiple Linear Regression - Residual Statistics \tabularnewline
Residual Standard Deviation & 2.50737645315805 \tabularnewline
Sum Squared Residuals & 188.608100335543 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110663&T=3

[TABLE]
[ROW][C]Multiple Linear Regression - Regression Statistics[/C][/ROW]
[ROW][C]Multiple R[/C][C]0.827535230258193[/C][/ROW]
[ROW][C]R-squared[/C][C]0.684814557318481[/C][/ROW]
[ROW][C]Adjusted R-squared[/C][C]0.600765105936743[/C][/ROW]
[ROW][C]F-TEST (value)[/C][C]8.14775761245805[/C][/ROW]
[ROW][C]F-TEST (DF numerator)[/C][C]8[/C][/ROW]
[ROW][C]F-TEST (DF denominator)[/C][C]30[/C][/ROW]
[ROW][C]p-value[/C][C]8.60521098511313e-06[/C][/ROW]
[ROW][C]Multiple Linear Regression - Residual Statistics[/C][/ROW]
[ROW][C]Residual Standard Deviation[/C][C]2.50737645315805[/C][/ROW]
[ROW][C]Sum Squared Residuals[/C][C]188.608100335543[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110663&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110663&T=3

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Regression Statistics
Multiple R0.827535230258193
R-squared0.684814557318481
Adjusted R-squared0.600765105936743
F-TEST (value)8.14775761245805
F-TEST (DF numerator)8
F-TEST (DF denominator)30
p-value8.60521098511313e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.50737645315805
Sum Squared Residuals188.608100335543







Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
16.37.89580447858142-1.59580447858142
22.12.69658009911775-0.596580099117745
39.16.282171286356562.81782871364344
415.816.0269484710272-0.226948471027212
55.25.26249293291376-0.0624929329137551
610.911.4621261596098-0.562126159609779
78.37.387442679308670.912557320691332
81110.36142648233330.638573517666651
93.23.104662029566520.0953379704334817
106.311.1938874110275-4.89388741102751
116.610.6523611499443-4.05236114994431
129.510.3770581634728-0.877058163472793
133.34.616748165744-1.31674816574400
141112.7159103188329-1.71591031883285
154.77.54681065752132-2.84681065752132
1610.414.2719906123763-3.87199061237634
177.48.73478335079519-1.33478335079519
182.13.66476364640126-1.56476364640126
1917.916.01722595513011.88277404486992
206.18.30425895410857-2.20425895410858
2111.911.9797381420859-0.0797381420859159
2213.811.79778165229662.00221834770342
2314.310.28522614571754.01477385428248
2415.210.10207487977005.09792512022995
25106.432968015682583.56703198431742
2611.99.440929683695522.45907031630448
276.55.722241811106310.777758188893687
287.58.11768636346933-0.61768636346933
2910.69.82822959325760.771770406742397
307.48.57552835820276-1.17552835820276
318.48.283528186247080.116471813752919
325.77.98733730490201-2.28733730490201
334.95.02211161876452-0.122111618764523
343.24.22072100537454-1.02072100537454
35119.02941590617041.97058409382961
364.95.68237661528557-0.782376615285571
3713.211.45780871462671.74219128537329
389.76.638918931498843.06108106850116
3912.810.91992406767691.88007593232306

\begin{tabular}{lllllllll}
\hline
Multiple Linear Regression - Actuals, Interpolation, and Residuals \tabularnewline
Time or Index & Actuals & InterpolationForecast & ResidualsPrediction Error \tabularnewline
1 & 6.3 & 7.89580447858142 & -1.59580447858142 \tabularnewline
2 & 2.1 & 2.69658009911775 & -0.596580099117745 \tabularnewline
3 & 9.1 & 6.28217128635656 & 2.81782871364344 \tabularnewline
4 & 15.8 & 16.0269484710272 & -0.226948471027212 \tabularnewline
5 & 5.2 & 5.26249293291376 & -0.0624929329137551 \tabularnewline
6 & 10.9 & 11.4621261596098 & -0.562126159609779 \tabularnewline
7 & 8.3 & 7.38744267930867 & 0.912557320691332 \tabularnewline
8 & 11 & 10.3614264823333 & 0.638573517666651 \tabularnewline
9 & 3.2 & 3.10466202956652 & 0.0953379704334817 \tabularnewline
10 & 6.3 & 11.1938874110275 & -4.89388741102751 \tabularnewline
11 & 6.6 & 10.6523611499443 & -4.05236114994431 \tabularnewline
12 & 9.5 & 10.3770581634728 & -0.877058163472793 \tabularnewline
13 & 3.3 & 4.616748165744 & -1.31674816574400 \tabularnewline
14 & 11 & 12.7159103188329 & -1.71591031883285 \tabularnewline
15 & 4.7 & 7.54681065752132 & -2.84681065752132 \tabularnewline
16 & 10.4 & 14.2719906123763 & -3.87199061237634 \tabularnewline
17 & 7.4 & 8.73478335079519 & -1.33478335079519 \tabularnewline
18 & 2.1 & 3.66476364640126 & -1.56476364640126 \tabularnewline
19 & 17.9 & 16.0172259551301 & 1.88277404486992 \tabularnewline
20 & 6.1 & 8.30425895410857 & -2.20425895410858 \tabularnewline
21 & 11.9 & 11.9797381420859 & -0.0797381420859159 \tabularnewline
22 & 13.8 & 11.7977816522966 & 2.00221834770342 \tabularnewline
23 & 14.3 & 10.2852261457175 & 4.01477385428248 \tabularnewline
24 & 15.2 & 10.1020748797700 & 5.09792512022995 \tabularnewline
25 & 10 & 6.43296801568258 & 3.56703198431742 \tabularnewline
26 & 11.9 & 9.44092968369552 & 2.45907031630448 \tabularnewline
27 & 6.5 & 5.72224181110631 & 0.777758188893687 \tabularnewline
28 & 7.5 & 8.11768636346933 & -0.61768636346933 \tabularnewline
29 & 10.6 & 9.8282295932576 & 0.771770406742397 \tabularnewline
30 & 7.4 & 8.57552835820276 & -1.17552835820276 \tabularnewline
31 & 8.4 & 8.28352818624708 & 0.116471813752919 \tabularnewline
32 & 5.7 & 7.98733730490201 & -2.28733730490201 \tabularnewline
33 & 4.9 & 5.02211161876452 & -0.122111618764523 \tabularnewline
34 & 3.2 & 4.22072100537454 & -1.02072100537454 \tabularnewline
35 & 11 & 9.0294159061704 & 1.97058409382961 \tabularnewline
36 & 4.9 & 5.68237661528557 & -0.782376615285571 \tabularnewline
37 & 13.2 & 11.4578087146267 & 1.74219128537329 \tabularnewline
38 & 9.7 & 6.63891893149884 & 3.06108106850116 \tabularnewline
39 & 12.8 & 10.9199240676769 & 1.88007593232306 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110663&T=4

[TABLE]
[ROW][C]Multiple Linear Regression - Actuals, Interpolation, and Residuals[/C][/ROW]
[ROW][C]Time or Index[/C][C]Actuals[/C][C]InterpolationForecast[/C][C]ResidualsPrediction Error[/C][/ROW]
[ROW][C]1[/C][C]6.3[/C][C]7.89580447858142[/C][C]-1.59580447858142[/C][/ROW]
[ROW][C]2[/C][C]2.1[/C][C]2.69658009911775[/C][C]-0.596580099117745[/C][/ROW]
[ROW][C]3[/C][C]9.1[/C][C]6.28217128635656[/C][C]2.81782871364344[/C][/ROW]
[ROW][C]4[/C][C]15.8[/C][C]16.0269484710272[/C][C]-0.226948471027212[/C][/ROW]
[ROW][C]5[/C][C]5.2[/C][C]5.26249293291376[/C][C]-0.0624929329137551[/C][/ROW]
[ROW][C]6[/C][C]10.9[/C][C]11.4621261596098[/C][C]-0.562126159609779[/C][/ROW]
[ROW][C]7[/C][C]8.3[/C][C]7.38744267930867[/C][C]0.912557320691332[/C][/ROW]
[ROW][C]8[/C][C]11[/C][C]10.3614264823333[/C][C]0.638573517666651[/C][/ROW]
[ROW][C]9[/C][C]3.2[/C][C]3.10466202956652[/C][C]0.0953379704334817[/C][/ROW]
[ROW][C]10[/C][C]6.3[/C][C]11.1938874110275[/C][C]-4.89388741102751[/C][/ROW]
[ROW][C]11[/C][C]6.6[/C][C]10.6523611499443[/C][C]-4.05236114994431[/C][/ROW]
[ROW][C]12[/C][C]9.5[/C][C]10.3770581634728[/C][C]-0.877058163472793[/C][/ROW]
[ROW][C]13[/C][C]3.3[/C][C]4.616748165744[/C][C]-1.31674816574400[/C][/ROW]
[ROW][C]14[/C][C]11[/C][C]12.7159103188329[/C][C]-1.71591031883285[/C][/ROW]
[ROW][C]15[/C][C]4.7[/C][C]7.54681065752132[/C][C]-2.84681065752132[/C][/ROW]
[ROW][C]16[/C][C]10.4[/C][C]14.2719906123763[/C][C]-3.87199061237634[/C][/ROW]
[ROW][C]17[/C][C]7.4[/C][C]8.73478335079519[/C][C]-1.33478335079519[/C][/ROW]
[ROW][C]18[/C][C]2.1[/C][C]3.66476364640126[/C][C]-1.56476364640126[/C][/ROW]
[ROW][C]19[/C][C]17.9[/C][C]16.0172259551301[/C][C]1.88277404486992[/C][/ROW]
[ROW][C]20[/C][C]6.1[/C][C]8.30425895410857[/C][C]-2.20425895410858[/C][/ROW]
[ROW][C]21[/C][C]11.9[/C][C]11.9797381420859[/C][C]-0.0797381420859159[/C][/ROW]
[ROW][C]22[/C][C]13.8[/C][C]11.7977816522966[/C][C]2.00221834770342[/C][/ROW]
[ROW][C]23[/C][C]14.3[/C][C]10.2852261457175[/C][C]4.01477385428248[/C][/ROW]
[ROW][C]24[/C][C]15.2[/C][C]10.1020748797700[/C][C]5.09792512022995[/C][/ROW]
[ROW][C]25[/C][C]10[/C][C]6.43296801568258[/C][C]3.56703198431742[/C][/ROW]
[ROW][C]26[/C][C]11.9[/C][C]9.44092968369552[/C][C]2.45907031630448[/C][/ROW]
[ROW][C]27[/C][C]6.5[/C][C]5.72224181110631[/C][C]0.777758188893687[/C][/ROW]
[ROW][C]28[/C][C]7.5[/C][C]8.11768636346933[/C][C]-0.61768636346933[/C][/ROW]
[ROW][C]29[/C][C]10.6[/C][C]9.8282295932576[/C][C]0.771770406742397[/C][/ROW]
[ROW][C]30[/C][C]7.4[/C][C]8.57552835820276[/C][C]-1.17552835820276[/C][/ROW]
[ROW][C]31[/C][C]8.4[/C][C]8.28352818624708[/C][C]0.116471813752919[/C][/ROW]
[ROW][C]32[/C][C]5.7[/C][C]7.98733730490201[/C][C]-2.28733730490201[/C][/ROW]
[ROW][C]33[/C][C]4.9[/C][C]5.02211161876452[/C][C]-0.122111618764523[/C][/ROW]
[ROW][C]34[/C][C]3.2[/C][C]4.22072100537454[/C][C]-1.02072100537454[/C][/ROW]
[ROW][C]35[/C][C]11[/C][C]9.0294159061704[/C][C]1.97058409382961[/C][/ROW]
[ROW][C]36[/C][C]4.9[/C][C]5.68237661528557[/C][C]-0.782376615285571[/C][/ROW]
[ROW][C]37[/C][C]13.2[/C][C]11.4578087146267[/C][C]1.74219128537329[/C][/ROW]
[ROW][C]38[/C][C]9.7[/C][C]6.63891893149884[/C][C]3.06108106850116[/C][/ROW]
[ROW][C]39[/C][C]12.8[/C][C]10.9199240676769[/C][C]1.88007593232306[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110663&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110663&T=4

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolationForecastResidualsPrediction Error
16.37.89580447858142-1.59580447858142
22.12.69658009911775-0.596580099117745
39.16.282171286356562.81782871364344
415.816.0269484710272-0.226948471027212
55.25.26249293291376-0.0624929329137551
610.911.4621261596098-0.562126159609779
78.37.387442679308670.912557320691332
81110.36142648233330.638573517666651
93.23.104662029566520.0953379704334817
106.311.1938874110275-4.89388741102751
116.610.6523611499443-4.05236114994431
129.510.3770581634728-0.877058163472793
133.34.616748165744-1.31674816574400
141112.7159103188329-1.71591031883285
154.77.54681065752132-2.84681065752132
1610.414.2719906123763-3.87199061237634
177.48.73478335079519-1.33478335079519
182.13.66476364640126-1.56476364640126
1917.916.01722595513011.88277404486992
206.18.30425895410857-2.20425895410858
2111.911.9797381420859-0.0797381420859159
2213.811.79778165229662.00221834770342
2314.310.28522614571754.01477385428248
2415.210.10207487977005.09792512022995
25106.432968015682583.56703198431742
2611.99.440929683695522.45907031630448
276.55.722241811106310.777758188893687
287.58.11768636346933-0.61768636346933
2910.69.82822959325760.771770406742397
307.48.57552835820276-1.17552835820276
318.48.283528186247080.116471813752919
325.77.98733730490201-2.28733730490201
334.95.02211161876452-0.122111618764523
343.24.22072100537454-1.02072100537454
35119.02941590617041.97058409382961
364.95.68237661528557-0.782376615285571
3713.211.45780871462671.74219128537329
389.76.638918931498843.06108106850116
3912.810.91992406767691.88007593232306







Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.02971582989324410.05943165978648830.970284170106756
130.06056893345689770.1211378669137950.939431066543102
140.02477397692652430.04954795385304860.975226023073476
150.01517949254067720.03035898508135440.984820507459323
160.4503767114883590.9007534229767170.549623288511641
170.3420661271069460.6841322542138920.657933872893054
180.3294196036823060.6588392073646130.670580396317694
190.2292751605357540.4585503210715070.770724839464246
200.4636319164084680.9272638328169360.536368083591532
210.4895874730933270.9791749461866530.510412526906673
220.6222292589183950.755541482163210.377770741081605
230.7270304592857870.5459390814284260.272969540714213
240.8444701636232060.3110596727535880.155529836376794
250.9162012654186290.1675974691627420.0837987345813711
260.8841106970143140.2317786059713710.115889302985686
270.80626565763670.38746868472660.1937343423633

\begin{tabular}{lllllllll}
\hline
Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
p-values & Alternative Hypothesis \tabularnewline
breakpoint index & greater & 2-sided & less \tabularnewline
12 & 0.0297158298932441 & 0.0594316597864883 & 0.970284170106756 \tabularnewline
13 & 0.0605689334568977 & 0.121137866913795 & 0.939431066543102 \tabularnewline
14 & 0.0247739769265243 & 0.0495479538530486 & 0.975226023073476 \tabularnewline
15 & 0.0151794925406772 & 0.0303589850813544 & 0.984820507459323 \tabularnewline
16 & 0.450376711488359 & 0.900753422976717 & 0.549623288511641 \tabularnewline
17 & 0.342066127106946 & 0.684132254213892 & 0.657933872893054 \tabularnewline
18 & 0.329419603682306 & 0.658839207364613 & 0.670580396317694 \tabularnewline
19 & 0.229275160535754 & 0.458550321071507 & 0.770724839464246 \tabularnewline
20 & 0.463631916408468 & 0.927263832816936 & 0.536368083591532 \tabularnewline
21 & 0.489587473093327 & 0.979174946186653 & 0.510412526906673 \tabularnewline
22 & 0.622229258918395 & 0.75554148216321 & 0.377770741081605 \tabularnewline
23 & 0.727030459285787 & 0.545939081428426 & 0.272969540714213 \tabularnewline
24 & 0.844470163623206 & 0.311059672753588 & 0.155529836376794 \tabularnewline
25 & 0.916201265418629 & 0.167597469162742 & 0.0837987345813711 \tabularnewline
26 & 0.884110697014314 & 0.231778605971371 & 0.115889302985686 \tabularnewline
27 & 0.8062656576367 & 0.3874686847266 & 0.1937343423633 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110663&T=5

[TABLE]
[ROW][C]Goldfeld-Quandt test for Heteroskedasticity[/C][/ROW]
[ROW][C]p-values[/C][C]Alternative Hypothesis[/C][/ROW]
[ROW][C]breakpoint index[/C][C]greater[/C][C]2-sided[/C][C]less[/C][/ROW]
[ROW][C]12[/C][C]0.0297158298932441[/C][C]0.0594316597864883[/C][C]0.970284170106756[/C][/ROW]
[ROW][C]13[/C][C]0.0605689334568977[/C][C]0.121137866913795[/C][C]0.939431066543102[/C][/ROW]
[ROW][C]14[/C][C]0.0247739769265243[/C][C]0.0495479538530486[/C][C]0.975226023073476[/C][/ROW]
[ROW][C]15[/C][C]0.0151794925406772[/C][C]0.0303589850813544[/C][C]0.984820507459323[/C][/ROW]
[ROW][C]16[/C][C]0.450376711488359[/C][C]0.900753422976717[/C][C]0.549623288511641[/C][/ROW]
[ROW][C]17[/C][C]0.342066127106946[/C][C]0.684132254213892[/C][C]0.657933872893054[/C][/ROW]
[ROW][C]18[/C][C]0.329419603682306[/C][C]0.658839207364613[/C][C]0.670580396317694[/C][/ROW]
[ROW][C]19[/C][C]0.229275160535754[/C][C]0.458550321071507[/C][C]0.770724839464246[/C][/ROW]
[ROW][C]20[/C][C]0.463631916408468[/C][C]0.927263832816936[/C][C]0.536368083591532[/C][/ROW]
[ROW][C]21[/C][C]0.489587473093327[/C][C]0.979174946186653[/C][C]0.510412526906673[/C][/ROW]
[ROW][C]22[/C][C]0.622229258918395[/C][C]0.75554148216321[/C][C]0.377770741081605[/C][/ROW]
[ROW][C]23[/C][C]0.727030459285787[/C][C]0.545939081428426[/C][C]0.272969540714213[/C][/ROW]
[ROW][C]24[/C][C]0.844470163623206[/C][C]0.311059672753588[/C][C]0.155529836376794[/C][/ROW]
[ROW][C]25[/C][C]0.916201265418629[/C][C]0.167597469162742[/C][C]0.0837987345813711[/C][/ROW]
[ROW][C]26[/C][C]0.884110697014314[/C][C]0.231778605971371[/C][C]0.115889302985686[/C][/ROW]
[ROW][C]27[/C][C]0.8062656576367[/C][C]0.3874686847266[/C][C]0.1937343423633[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110663&T=5

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110663&T=5

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.02971582989324410.05943165978648830.970284170106756
130.06056893345689770.1211378669137950.939431066543102
140.02477397692652430.04954795385304860.975226023073476
150.01517949254067720.03035898508135440.984820507459323
160.4503767114883590.9007534229767170.549623288511641
170.3420661271069460.6841322542138920.657933872893054
180.3294196036823060.6588392073646130.670580396317694
190.2292751605357540.4585503210715070.770724839464246
200.4636319164084680.9272638328169360.536368083591532
210.4895874730933270.9791749461866530.510412526906673
220.6222292589183950.755541482163210.377770741081605
230.7270304592857870.5459390814284260.272969540714213
240.8444701636232060.3110596727535880.155529836376794
250.9162012654186290.1675974691627420.0837987345813711
260.8841106970143140.2317786059713710.115889302985686
270.80626565763670.38746868472660.1937343423633







Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.125NOK
10% type I error level30.1875NOK

\begin{tabular}{lllllllll}
\hline
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity \tabularnewline
Description & # significant tests & % significant tests & OK/NOK \tabularnewline
1% type I error level & 0 & 0 & OK \tabularnewline
5% type I error level & 2 & 0.125 & NOK \tabularnewline
10% type I error level & 3 & 0.1875 & NOK \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110663&T=6

[TABLE]
[ROW][C]Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity[/C][/ROW]
[ROW][C]Description[/C][C]# significant tests[/C][C]% significant tests[/C][C]OK/NOK[/C][/ROW]
[ROW][C]1% type I error level[/C][C]0[/C][C]0[/C][C]OK[/C][/ROW]
[ROW][C]5% type I error level[/C][C]2[/C][C]0.125[/C][C]NOK[/C][/ROW]
[ROW][C]10% type I error level[/C][C]3[/C][C]0.1875[/C][C]NOK[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110663&T=6

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110663&T=6

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.125NOK
10% type I error level30.1875NOK



Parameters (Session):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
Parameters (R input):
par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;
R code (references can be found in the software module):
library(lattice)
library(lmtest)
n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test
par1 <- as.numeric(par1)
x <- t(y)
k <- length(x[1,])
n <- length(x[,1])
x1 <- cbind(x[,par1], x[,1:k!=par1])
mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])
colnames(x1) <- mycolnames #colnames(x)[par1]
x <- x1
if (par3 == 'First Differences'){
x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))
for (i in 1:n-1) {
for (j in 1:k) {
x2[i,j] <- x[i+1,j] - x[i,j]
}
}
x <- x2
}
if (par2 == 'Include Monthly Dummies'){
x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))
for (i in 1:11){
x2[seq(i,n,12),i] <- 1
}
x <- cbind(x, x2)
}
if (par2 == 'Include Quarterly Dummies'){
x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))
for (i in 1:3){
x2[seq(i,n,4),i] <- 1
}
x <- cbind(x, x2)
}
k <- length(x[1,])
if (par3 == 'Linear Trend'){
x <- cbind(x, c(1:n))
colnames(x)[k+1] <- 't'
}
x
k <- length(x[1,])
df <- as.data.frame(x)
(mylm <- lm(df))
(mysum <- summary(mylm))
if (n > n25) {
kp3 <- k + 3
nmkm3 <- n - k - 3
gqarr <- array(NA, dim=c(nmkm3-kp3+1,3))
numgqtests <- 0
numsignificant1 <- 0
numsignificant5 <- 0
numsignificant10 <- 0
for (mypoint in kp3:nmkm3) {
j <- 0
numgqtests <- numgqtests + 1
for (myalt in c('greater', 'two.sided', 'less')) {
j <- j + 1
gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value
}
if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1
if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1
if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1
}
gqarr
}
bitmap(file='test0.png')
plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')
points(x[,1]-mysum$resid)
grid()
dev.off()
bitmap(file='test1.png')
plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')
grid()
dev.off()
bitmap(file='test2.png')
hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')
grid()
dev.off()
bitmap(file='test3.png')
densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test4.png')
qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')
qqline(mysum$resid)
grid()
dev.off()
(myerror <- as.ts(mysum$resid))
bitmap(file='test5.png')
dum <- cbind(lag(myerror,k=1),myerror)
dum
dum1 <- dum[2:length(myerror),]
dum1
z <- as.data.frame(dum1)
z
plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')
lines(lowess(z))
abline(lm(z))
grid()
dev.off()
bitmap(file='test6.png')
acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')
grid()
dev.off()
bitmap(file='test7.png')
pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')
grid()
dev.off()
bitmap(file='test8.png')
opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))
plot(mylm, las = 1, sub='Residual Diagnostics')
par(opar)
dev.off()
if (n > n25) {
bitmap(file='test9.png')
plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint')
grid()
dev.off()
}
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)
a<-table.row.end(a)
myeq <- colnames(x)[1]
myeq <- paste(myeq, '[t] = ', sep='')
for (i in 1:k){
if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')
myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')
if (rownames(mysum$coefficients)[i] != '(Intercept)') {
myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')
if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')
}
}
myeq <- paste(myeq, ' + e[t]')
a<-table.row.start(a)
a<-table.element(a, myeq)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Variable',header=TRUE)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE)
a<-table.element(a,'2-tail p-value',header=TRUE)
a<-table.element(a,'1-tail p-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:k){
a<-table.row.start(a)
a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)
a<-table.element(a,mysum$coefficients[i,1])
a<-table.element(a, round(mysum$coefficients[i,2],6))
a<-table.element(a, round(mysum$coefficients[i,3],4))
a<-table.element(a, round(mysum$coefficients[i,4],6))
a<-table.element(a, round(mysum$coefficients[i,4]/2,6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple R',1,TRUE)
a<-table.element(a, sqrt(mysum$r.squared))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'R-squared',1,TRUE)
a<-table.element(a, mysum$r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Adjusted R-squared',1,TRUE)
a<-table.element(a, mysum$adj.r.squared)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (value)',1,TRUE)
a<-table.element(a, mysum$fstatistic[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)
a<-table.element(a, mysum$fstatistic[3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'p-value',1,TRUE)
a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residual Standard Deviation',1,TRUE)
a<-table.element(a, mysum$sigma)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Sum Squared Residuals',1,TRUE)
a<-table.element(a, sum(myerror*myerror))
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Time or Index', 1, TRUE)
a<-table.element(a, 'Actuals', 1, TRUE)
a<-table.element(a, 'Interpolation
Forecast', 1, TRUE)
a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE)
a<-table.row.end(a)
for (i in 1:n) {
a<-table.row.start(a)
a<-table.element(a,i, 1, TRUE)
a<-table.element(a,x[i])
a<-table.element(a,x[i]-mysum$resid[i])
a<-table.element(a,mysum$resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable4.tab')
if (n > n25) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-values',header=TRUE)
a<-table.element(a,'Alternative Hypothesis',3,header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'breakpoint index',header=TRUE)
a<-table.element(a,'greater',header=TRUE)
a<-table.element(a,'2-sided',header=TRUE)
a<-table.element(a,'less',header=TRUE)
a<-table.row.end(a)
for (mypoint in kp3:nmkm3) {
a<-table.row.start(a)
a<-table.element(a,mypoint,header=TRUE)
a<-table.element(a,gqarr[mypoint-kp3+1,1])
a<-table.element(a,gqarr[mypoint-kp3+1,2])
a<-table.element(a,gqarr[mypoint-kp3+1,3])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable5.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Description',header=TRUE)
a<-table.element(a,'# significant tests',header=TRUE)
a<-table.element(a,'% significant tests',header=TRUE)
a<-table.element(a,'OK/NOK',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1% type I error level',header=TRUE)
a<-table.element(a,numsignificant1)
a<-table.element(a,numsignificant1/numgqtests)
if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'5% type I error level',header=TRUE)
a<-table.element(a,numsignificant5)
a<-table.element(a,numsignificant5/numgqtests)
if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'10% type I error level',header=TRUE)
a<-table.element(a,numsignificant10)
a<-table.element(a,numsignificant10/numgqtests)
if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK'
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable6.tab')
}