Pieńki

General Linear Models



Analysis of Variance for WysoscCm

-----------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 474,137 4 118,534 9,39 0,0041

Kombinacja 20,0893 2 10,0447 0,80 0,4839

Residual 100,951 8 12,6188

------------------------------------------------------------------------------------



Analysis of Variance for SumaDlugPedow

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 102679,0 4 25669,7 9,12 0,0045

Kombinacja 1600,36 2 800,178 0,28 0,7597

Residual 22506,1 8 2813,26

------------------------------------------------------------------------------------

Total (corrected) 126785,0 14



Analysis of Variance for SreDlugPedu

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 312,149 4 78,0373 9,02 0,0046

Kombinacja 13,584 2 6,792 0,79 0,4882

Residual 69,1827 8 8,64783

------------------------------------------------------------------------------------

Total (corrected) 394,916 14



Analysis of Variance for SrednicaMm

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 40,2827 4 10,0707 21,42 0,0002

Kombinacja 0,185333 2 0,0926667 0,20 0,8250

Residual 3,76133 8 0,470167

------------------------------------------------------------------------------------

Total (corrected) 44,2293 14



Analysis of Variance for PpppMm2

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 22946,7 4 5736,67 20,55 0,0003

Kombinacja 209,231 2 104,615 0,37 0,6990

Residual 2233,71 8 279,213

------------------------------------------------------------------------------------

Total (corrected) 25389,6 14




General Linear Models


General Linear Models

---------------------

Number of dependent variables: 5

Number of categorical factors: 2

Number of quantitative factors: 0



Analysis of Variance for WysoscCm

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 494,227 6 82,3711 6,53 0,0093

Residual 100,951 8 12,6188

-----------------------------------------------------------------------------

Total (Corr.) 595,177 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 474,137 4 118,534 9,39 0,0041

Kombinacja 20,0893 2 10,0447 0,80 0,4839

Residual 100,951 8 12,6188

------------------------------------------------------------------------------------

Total (corrected) 595,177 14

All F-ratios are based on the residual mean square error.


R-Squared = 83,0386 percent

R-Squared (adjusted for d.f.) = 70,3175 percent

Standard Error of Est. = 3,5523

Mean absolute error = 2,112

Durbin-Watson statistic = 2,6919


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 12,6188

MAE 2,112

MAPE 1,24536

ME -2,27374E-14

MPE -0,0228615



Analysis of Variance for SumaDlugPedow

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 104279,0 6 17379,9 6,18 0,0110

Residual 22506,1 8 2813,26

-----------------------------------------------------------------------------

Total (Corr.) 126785,0 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 102679,0 4 25669,7 9,12 0,0045

Kombinacja 1600,36 2 800,178 0,28 0,7597

Residual 22506,1 8 2813,26

------------------------------------------------------------------------------------

Total (corrected) 126785,0 14

All F-ratios are based on the residual mean square error.


R-Squared = 82,2487 percent

R-Squared (adjusted for d.f.) = 68,9352 percent

Standard Error of Est. = 53,0401

Mean absolute error = 32,1413

Durbin-Watson statistic = 2,44676


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 2813,26

MAE 32,1413

MAPE 10,4841

ME 3,22113E-14

MPE -1,37755



Analysis of Variance for SreDlugPedu

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 325,733 6 54,2889 6,28 0,0105

Residual 69,1827 8 8,64783

-----------------------------------------------------------------------------

Total (Corr.) 394,916 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 312,149 4 78,0373 9,02 0,0046

Kombinacja 13,584 2 6,792 0,79 0,4882

Residual 69,1827 8 8,64783

------------------------------------------------------------------------------------

Total (corrected) 394,916 14

All F-ratios are based on the residual mean square error.


R-Squared = 82,4817 percent

R-Squared (adjusted for d.f.) = 69,3429 percent

Standard Error of Est. = 2,94072

Mean absolute error = 1,79289

Durbin-Watson statistic = 2,51705


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 8,64783

MAE 1,79289

MAPE 6,56986

ME -4,73695E-15

MPE -0,570467



Analysis of Variance for SrednicaMm

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 40,468 6 6,74467 14,35 0,0007

Residual 3,76133 8 0,470167

-----------------------------------------------------------------------------

Total (Corr.) 44,2293 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 40,2827 4 10,0707 21,42 0,0002

Kombinacja 0,185333 2 0,0926667 0,20 0,8250

Residual 3,76133 8 0,470167

------------------------------------------------------------------------------------

Total (corrected) 44,2293 14

All F-ratios are based on the residual mean square error.


R-Squared = 91,4958 percent

R-Squared (adjusted for d.f.) = 85,1177 percent

Standard Error of Est. = 0,685687

Mean absolute error = 0,416

Durbin-Watson statistic = 2,53669


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 0,470167

MAE 0,416

MAPE 2,83788

ME 1,65793E-15

MPE -0,111688



Analysis of Variance for PpppMm2

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 23155,9 6 3859,32 13,82 0,0008

Residual 2233,71 8 279,213

-----------------------------------------------------------------------------

Total (Corr.) 25389,6 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 22946,7 4 5736,67 20,55 0,0003

Kombinacja 209,231 2 104,615 0,37 0,6990

Residual 2233,71 8 279,213

------------------------------------------------------------------------------------

Total (corrected) 25389,6 14

All F-ratios are based on the residual mean square error.


R-Squared = 91,2023 percent

R-Squared (adjusted for d.f.) = 84,604 percent

Standard Error of Est. = 16,7097

Mean absolute error = 10,1108

Durbin-Watson statistic = 2,52539


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 279,213

MAE 10,1108

MAPE 6,02317

ME 1,42109E-14

MPE -0,459018



The StatAdvisor

---------------

This pane summarizes the results of fitting 5 general linear

statistical model relating 5 dependent variables to 2 predictive

factors. Since the P-value in the first ANOVA table for WysoscCm is

less than 0.01, there is a statistically significant relationship

between WysoscCm and the predictor variables at the 99% confidence

level.



The R-Squared statistic indicates that the model as fitted explains

91,2023% of the variability in WysoscCm. The adjusted R-squared

statistic, which is more suitable for comparing models with different

numbers of independent variables, is 84,604%. The standard error of

the estimate shows the standard deviation of the residuals to be

16,7097. This value can be used to construct prediction limits for

new observations by selecting the Reports option from the text menu.

The mean absolute error (MAE) of 2,112 is the average value of the

residuals. The Durbin-Watson (DW) statistic tests the residuals to

determine if there is any significant correlation based on the order

in which they occur in your data file. Since the DW value is greater

than 1.4, there is probably not any serious autocorrelation in the

residuals.


The output also summarizes the performance of the model in fitting

the data, and in predicting any values withheld from the fitting

process. It displays:

(1) the mean squared error (MSE)

(2) the mean absolute error (MAE)

(3) the mean absolute percentage error (MAPE)

(4) the mean error (ME)

(5) the mean percentage error (MPE)

Each of the statistics is based on the residuals. The first three

statistics measure the magnitude of the errors. A better model will

give a smaller value. The last two statistics measure bias. A better

model will give a value close to 0.0.




Multiple Comparisons for WysoscCm by Kombinacja

--------------------------------------------------------------------------------

Method: 95,0 percent Student-Newman-Keuls

Kombinacja Count LS Mean Homogeneous Groups

--------------------------------------------------------------------------------

2 5 165,62 X

1 5 166,78 X

3 5 168,44 X

--------------------------------------------------------------------------------




General Linear Models


General Linear Models

---------------------

Number of dependent variables: 5

Number of categorical factors: 2

Number of quantitative factors: 0



Analysis of Variance for WysoscCm

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 494,227 6 82,3711 6,53 0,0093

Residual 100,951 8 12,6188

-----------------------------------------------------------------------------

Total (Corr.) 595,177 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 474,137 4 118,534 9,39 0,0041

Kombinacja 20,0893 2 10,0447 0,80 0,4839

Residual 100,951 8 12,6188

------------------------------------------------------------------------------------

Total (corrected) 595,177 14

All F-ratios are based on the residual mean square error.


R-Squared = 83,0386 percent

R-Squared (adjusted for d.f.) = 70,3175 percent

Standard Error of Est. = 3,5523

Mean absolute error = 2,112

Durbin-Watson statistic = 2,6919


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 12,6188

MAE 2,112

MAPE 1,24536

ME -2,27374E-14

MPE -0,0228615



Analysis of Variance for SumaDlugPedow

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 104279,0 6 17379,9 6,18 0,0110

Residual 22506,1 8 2813,26

-----------------------------------------------------------------------------

Total (Corr.) 126785,0 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 102679,0 4 25669,7 9,12 0,0045

Kombinacja 1600,36 2 800,178 0,28 0,7597

Residual 22506,1 8 2813,26

------------------------------------------------------------------------------------

Total (corrected) 126785,0 14

All F-ratios are based on the residual mean square error.


R-Squared = 82,2487 percent

R-Squared (adjusted for d.f.) = 68,9352 percent

Standard Error of Est. = 53,0401

Mean absolute error = 32,1413

Durbin-Watson statistic = 2,44676


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 2813,26

MAE 32,1413

MAPE 10,4841

ME 3,22113E-14

MPE -1,37755



Analysis of Variance for SreDlugPedu

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 325,733 6 54,2889 6,28 0,0105

Residual 69,1827 8 8,64783

-----------------------------------------------------------------------------

Total (Corr.) 394,916 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 312,149 4 78,0373 9,02 0,0046

Kombinacja 13,584 2 6,792 0,79 0,4882

Residual 69,1827 8 8,64783

------------------------------------------------------------------------------------

Total (corrected) 394,916 14

All F-ratios are based on the residual mean square error.


R-Squared = 82,4817 percent

R-Squared (adjusted for d.f.) = 69,3429 percent

Standard Error of Est. = 2,94072

Mean absolute error = 1,79289

Durbin-Watson statistic = 2,51705


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 8,64783

MAE 1,79289

MAPE 6,56986

ME -4,73695E-15

MPE -0,570467



Analysis of Variance for SrednicaMm

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 40,468 6 6,74467 14,35 0,0007

Residual 3,76133 8 0,470167

-----------------------------------------------------------------------------

Total (Corr.) 44,2293 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 40,2827 4 10,0707 21,42 0,0002

Kombinacja 0,185333 2 0,0926667 0,20 0,8250

Residual 3,76133 8 0,470167

------------------------------------------------------------------------------------

Total (corrected) 44,2293 14

All F-ratios are based on the residual mean square error.


R-Squared = 91,4958 percent

R-Squared (adjusted for d.f.) = 85,1177 percent

Standard Error of Est. = 0,685687

Mean absolute error = 0,416

Durbin-Watson statistic = 2,53669


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 0,470167

MAE 0,416

MAPE 2,83788

ME 1,65793E-15

MPE -0,111688



Analysis of Variance for PpppMm2

-----------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

-----------------------------------------------------------------------------

Model 23155,9 6 3859,32 13,82 0,0008

Residual 2233,71 8 279,213

-----------------------------------------------------------------------------

Total (Corr.) 25389,6 14


Type III Sums of Squares

------------------------------------------------------------------------------------

Source Sum of Squares Df Mean Square F-Ratio P-Value

------------------------------------------------------------------------------------

Powtorzenie 22946,7 4 5736,67 20,55 0,0003

Kombinacja 209,231 2 104,615 0,37 0,6990

Residual 2233,71 8 279,213

------------------------------------------------------------------------------------

Total (corrected) 25389,6 14

All F-ratios are based on the residual mean square error.


R-Squared = 91,2023 percent

R-Squared (adjusted for d.f.) = 84,604 percent

Standard Error of Est. = 16,7097

Mean absolute error = 10,1108

Durbin-Watson statistic = 2,52539


Residual Analysis

---------------------------------

Estimation Validation

n 15

MSE 279,213

MAE 10,1108

MAPE 6,02317

ME 1,42109E-14

MPE -0,459018



The StatAdvisor

---------------

This pane summarizes the results of fitting 5 general linear

statistical model relating 5 dependent variables to 2 predictive

factors. Since the P-value in the first ANOVA table for SumaDlugPedow

is less than 0.05, there is a statistically significant relationship

between SumaDlugPedow and the predictor variables at the 95%

confidence level.



The R-Squared statistic indicates that the model as fitted explains

91,2023% of the variability in SumaDlugPedow. The adjusted R-squared

statistic, which is more suitable for comparing models with different

numbers of independent variables, is 84,604%. The standard error of

the estimate shows the standard deviation of the residuals to be

16,7097. This value can be used to construct prediction limits for

new observations by selecting the Reports option from the text menu.

The mean absolute error (MAE) of 32,1413 is the average value of the

residuals. The Durbin-Watson (DW) statistic tests the residuals to

determine if there is any significant correlation based on the order

in which they occur in your data file. Since the DW value is greater

than 1.4, there is probably not any serious autocorrelation in the

residuals.


The output also summarizes the performance of the model in fitting

the data, and in predicting any values withheld from the fitting

process. It displays:

(1) the mean squared error (MSE)

(2) the mean absolute error (MAE)

(3) the mean absolute percentage error (MAPE)

(4) the mean error (ME)

(5) the mean percentage error (MPE)

Each of the statistics is based on the residuals. The first three

statistics measure the magnitude of the errors. A better model will

give a smaller value. The last two statistics measure bias. A better

model will give a value close to 0.0.




Multiple Comparisons for SumaDlugPedow by Kombinacja

--------------------------------------------------------------------------------

Method: 95,0 percent Student-Newman-Keuls

Kombinacja Count LS Mean Homogeneous Groups

--------------------------------------------------------------------------------

3 5 309,52 X

2 5 311,56 X

1 5 332,38 X

--------------------------------------------------------------------------------






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