One-Way ANOVA - prir_teoria by Modul

Analysis Summary

Dependent variable: prir_teoria
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for
prir_teoria.  It constructs various tests and graphs to compare the
mean values of prir_teoria for the 3 different levels of Modul.  The
F-test in the ANOVA table will test whether there are any significant
differences amongst the means.  If there are, the Multiple Range Tests
will tell you which means are significantly different from which
others.  If you are worried about the presence of outliers, choose the
Kruskal-Wallis Test which compares medians instead of means.  The
various plots will help you judge the practical significance of the
results, as well as allow you to look for possible violations of the
assumptions underlying the analysis of variance.  

Summary Statistics for prir_teoria

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,490385            0,0238406           0,154404            0,0833333           
2                   34                  0,428105            0,0485465           0,220333            -0,277778           
3                   49                  0,245465            0,0934718           0,305732            -0,388889           
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,385802            0,0664118           0,257705            -0,388889           

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,805556            0,722222            -0,903742           0,0346028           
2                   0,75                1,02778             -2,63684            2,15848             
3                   0,694444            1,08333             -1,16745            -1,24827            
------------------------------------------------------------------------------------------------------------------------
Total               0,805556            1,19444             -4,90939            1,71388             

The StatAdvisor
---------------
   This table shows various statistics for prir_teoria for each of the
3 levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

WARNING: The standardized skewness and/or kurtosis is outside the
range of -2 to +2 for 1 levels of Modul.  This indicates some
significant nonnormality in the data, which violates the assumption
that the data come from normal distributions.  You may wish to
transform the data or use the Kruskal-Wallis test to compare the
medians instead of the means.  

ANOVA Table for prir_teoria by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups            1,59463      2     0,797313      14,41       0,0000
Within groups             7,30455    132    0,0553375
-----------------------------------------------------------------------------
Total (Corr.)             8,89918    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of prir_teoria into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 14,4082, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is less than 0,05, there is a statistically
significant difference between the mean prir_teoria from one level of
Modul to another at the 95,0% confidence level.  To determine which
means are significantly different from which others, select Multiple
Range Tests from the list of Tabular Options.

Table of Means for prir_teoria by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,490385      0,0326218       0,444756       0,536014
2                   34     0,428105      0,0403432       0,371675       0,484534
3                   49     0,245465      0,0336056        0,19846        0,29247
--------------------------------------------------------------------------------
Total              135     0,385802

The StatAdvisor
---------------
   This table shows the mean prir_teoria for each level of Modul.  It
also shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for prir_teoria by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
3              49        0,245465          X 
2              34        0,428105           X
1              52        0,490385           X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                      0,06228              0,102628          
1 - 3                                     *0,24492              0,0926445         
2 - 3                                     *0,18264              0,103863          
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  An asterisk has been placed next to 2 pairs, indicating that
these pairs show statistically significant differences at the 95,0%
confidence level.  At the top of the page, 2 homogenous groups are
identified using columns of X's.  Within each column, the levels
containing X's form a group of means within which there are no
statistically significant differences.  The method currently being
used to discriminate among the means is Fisher's least significant
difference (LSD) procedure.  With this method, there is a 5,0% risk of
calling each pair of means significantly different when the actual
difference equals 0.  

Variance Check

Cochran's C test: 0,563562   P-Value = 0,000236215
Bartlett's test: 1,18229   P-Value = 0,0000177927
Hartley's test: 3,9207
Levene's test: 11,6623   P-Value = 0,0000216788

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of prir_teoria within each of
the 3 levels of Modul is the same.  Of particular interest are the
three P-values.  Since the smallest of the P-values is less than 0,05,
there is a statistically significant difference amongst the standard
deviations at the 95,0% confidence level.  This violates one of the
important assumptions underlying the analysis of variance and will
invalidate most of the standard statistical tests.  

Kruskal-Wallis Test for prir_teoria by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  82,0                
2                   34                  72,6029             
3                   49                  49,949              
------------------------------------------------------------
Test statistic = 17,6087   P-Value = 0,000150083

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of prir_teoria within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is less than 0,05, there is a statistically
significant difference amongst the medians at the 95,0% confidence
level.  To determine which medians are significantly different from
which others, select Box-and-Whisker Plot from the list of Graphical
Options and select the median notch option.

One-Way ANOVA - v18_50M1 by Modul

Analysis Summary

Dependent variable: v18_50M1
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for
v18_50M1.  It constructs various tests and graphs to compare the mean
values of v18_50M1 for the 3 different levels of Modul.  The F-test in
the ANOVA table will test whether there are any significant
differences amongst the means.  If there are, the Multiple Range Tests
will tell you which means are significantly different from which
others.  If you are worried about the presence of outliers, choose the
Kruskal-Wallis Test which compares medians instead of means.  The
various plots will help you judge the practical significance of the
results, as well as allow you to look for possible violations of the
assumptions underlying the analysis of variance.  

Summary Statistics for v18_50M1

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,319444            0,0119674           0,109396            0,111111            
2                   34                  0,287582            0,016923            0,130089            0,0555556           
3                   49                  0,371882            0,0186734           0,136651            0,111111            
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,330453            0,0165524           0,128656            0,0555556           

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,555556            0,444444            0,221137            -0,51862            
2                   0,666667            0,611111            2,6148              1,65106             
3                   0,722222            0,611111            0,955579            -0,118994           
------------------------------------------------------------------------------------------------------------------------
Total               0,722222            0,666667            2,35152             0,206156            

The StatAdvisor
---------------
   This table shows various statistics for v18_50M1 for each of the 3
levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

WARNING: The standardized skewness and/or kurtosis is outside the
range of -2 to +2 for 1 levels of Modul.  This indicates some
significant nonnormality in the data, which violates the assumption
that the data come from normal distributions.  You may wish to
transform the data or use the Kruskal-Wallis test to compare the
medians instead of the means.  

ANOVA Table for v18_50M1 by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups           0,152894      2    0,0764471       4,89       0,0090
Within groups             2,06512    132    0,0156449
-----------------------------------------------------------------------------
Total (Corr.)             2,21802    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of v18_50M1 into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 4,8864, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is less than 0,05, there is a statistically
significant difference between the mean v18_50M1 from one level of
Modul to another at the 95,0% confidence level.  To determine which
means are significantly different from which others, select Multiple
Range Tests from the list of Tabular Options.

Table of Means for v18_50M1 by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,319444      0,0173454       0,295183       0,343706
2                   34     0,287582      0,0214509       0,257578       0,317586
3                   49     0,371882      0,0178685       0,346889       0,396875
--------------------------------------------------------------------------------
Total              135     0,330453

The StatAdvisor
---------------
   This table shows the mean v18_50M1 for each level of Modul.  It
also shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for v18_50M1 by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
2              34        0,287582          X 
1              52        0,319444          X 
3              49        0,371882           X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                      0,0318627            0,0545686         
1 - 3                                     *-0,0524376           0,0492601         
2 - 3                                     *-0,0843004           0,0552251         
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  An asterisk has been placed next to 2 pairs, indicating that
these pairs show statistically significant differences at the 95,0%
confidence level.  At the top of the page, 2 homogenous groups are
identified using columns of X's.  Within each column, the levels
containing X's form a group of means within which there are no
statistically significant differences.  The method currently being
used to discriminate among the means is Fisher's least significant
difference (LSD) procedure.  With this method, there is a 5,0% risk of
calling each pair of means significantly different when the actual
difference equals 0.  

Variance Check

Cochran's C test: 0,392596   P-Value = 0,460691
Bartlett's test: 1,01974   P-Value = 0,278983
Hartley's test: 1,56035
Levene's test: 0,878247   P-Value = 0,417924

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of v18_50M1 within each of the
3 levels of Modul is the same.  Of particular interest are the three
P-values.  Since the smallest of the P-values is greater than or equal
to 0,05, there is not a statistically significant difference amongst
the standard deviations at the 95,0% confidence level.  

Kruskal-Wallis Test for v18_50M1 by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  66,4135             
2                   34                  52,9706             
3                   49                  80,1122             
------------------------------------------------------------
Test statistic = 9,98199   P-Value = 0,00679891

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of v18_50M1 within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is less than 0,05, there is a statistically
significant difference amongst the medians at the 95,0% confidence
level.  To determine which medians are significantly different from
which others, select Box-and-Whisker Plot from the list of Graphical
Options and select the median notch option.

One-Way ANOVA - v32_50M1 by Modul

Analysis Summary

Dependent variable: v32_50M1
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for
v32_50M1.  It constructs various tests and graphs to compare the mean
values of v32_50M1 for the 3 different levels of Modul.  The F-test in
the ANOVA table will test whether there are any significant
differences amongst the means.  If there are, the Multiple Range Tests
will tell you which means are significantly different from which
others.  If you are worried about the presence of outliers, choose the
Kruskal-Wallis Test which compares medians instead of means.  The
various plots will help you judge the practical significance of the
results, as well as allow you to look for possible violations of the
assumptions underlying the analysis of variance.  

Summary Statistics for v32_50M1

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,369892            0,0110746           0,105236            0,109375            
2                   34                  0,378676            0,0120303           0,109683            0,15625             
3                   49                  0,400829            0,0115514           0,107478            0,125               
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,383333            0,011503            0,107252            0,109375            

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,59375             0,484375            -1,08039            -0,167275           
2                   0,5625              0,40625             -1,11946            -0,583561           
3                   0,65625             0,53125             -0,420557           0,0914572           
------------------------------------------------------------------------------------------------------------------------
Total               0,65625             0,546875            -1,39054            -0,386966           

The StatAdvisor
---------------
   This table shows various statistics for v32_50M1 for each of the 3
levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

ANOVA Table for v32_50M1 by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups          0,0251313      2    0,0125657       1,09       0,3379
Within groups             1,51627    132    0,0114869
-----------------------------------------------------------------------------
Total (Corr.)             1,54141    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of v32_50M1 into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 1,09391, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is greater than or equal to 0,05, there is not a
statistically significant difference between the mean v32_50M1 from
one level of Modul to another at the 95,0% confidence level.

Table of Means for v32_50M1 by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,369892      0,0148628       0,349103       0,390681
2                   34     0,378676      0,0183807       0,352967       0,404386
3                   49     0,400829       0,015311       0,379413       0,422245
--------------------------------------------------------------------------------
Total              135     0,383333

The StatAdvisor
---------------
   This table shows the mean v32_50M1 for each level of Modul.  It
also shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for v32_50M1 by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
1              52        0,369892          X
2              34        0,378676          X
3              49        0,400829          X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                      -0,00878464          0,0467583         
1 - 3                                      -0,0309373           0,0422097         
2 - 3                                      -0,0221526           0,0473208         
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  There are no statistically significant differences between any
pair of means at the 95,0% confidence level.  At the top of the page,
one homogenous group is identified by a column of X's.  Within each
column, the levels containing X's form a group of means within which
there are no statistically significant differences.  The method
currently being used to discriminate among the means is Fisher's least
significant difference (LSD) procedure.  With this method, there is a
5,0% risk of calling each pair of means significantly different when
the actual difference equals 0.  

Variance Check

Cochran's C test: 0,347132   P-Value = 1,0
Bartlett's test: 1,00053   P-Value = 0,965853
Hartley's test: 1,0863
Levene's test: 0,040259   P-Value = 0,960552

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of v32_50M1 within each of the
3 levels of Modul is the same.  Of particular interest are the three
P-values.  Since the smallest of the P-values is greater than or equal
to 0,05, there is not a statistically significant difference amongst
the standard deviations at the 95,0% confidence level.  

Kruskal-Wallis Test for v32_50M1 by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  63,3558             
2                   34                  68,1618             
3                   49                  72,8163             
------------------------------------------------------------
Test statistic = 1,48049   P-Value = 0,476996

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of v32_50M1 within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is greater than or equal to 0,05, there is
not a statistically significant difference amongst the medians at the
95,0% confidence level.  

One-Way ANOVA - vcelkom by Modul

Analysis Summary

Dependent variable: vcelkom
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for vcelkom.
It constructs various tests and graphs to compare the mean values of
vcelkom for the 3 different levels of Modul.  The F-test in the ANOVA
table will test whether there are any significant differences amongst
the means.  If there are, the Multiple Range Tests will tell you which
means are significantly different from which others.  If you are
worried about the presence of outliers, choose the Kruskal-Wallis Test
which compares medians instead of means.  The various plots will help
you judge the practical significance of the results, as well as allow
you to look for possible violations of the assumptions underlying the
analysis of variance.  

Summary Statistics for vcelkom

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,351731            0,00730871          0,085491            0,13                
2                   34                  0,345882            0,00824314          0,0907917           0,18                
3                   49                  0,390408            0,00754983          0,0868898           0,22                
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,364296            0,00791275          0,0889536           0,13                

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,54                0,41                -1,10805            0,318631            
2                   0,55                0,37                0,684573            -0,178366           
3                   0,58                0,36                0,626963            -0,421777           
------------------------------------------------------------------------------------------------------------------------
Total               0,58                0,45                0,0839789           -0,0886981          

The StatAdvisor
---------------
   This table shows various statistics for vcelkom for each of the 3
levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

ANOVA Table for vcelkom by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups          0,0531486      2    0,0265743       3,48       0,0336
Within groups             1,00716    132      0,00763
-----------------------------------------------------------------------------
Total (Corr.)             1,06031    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of vcelkom into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 3,48287, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is less than 0,05, there is a statistically
significant difference between the mean vcelkom from one level of
Modul to another at the 95,0% confidence level.  To determine which
means are significantly different from which others, select Multiple
Range Tests from the list of Tabular Options.

Table of Means for vcelkom by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,351731      0,0121132       0,334788       0,368674
2                   34     0,345882      0,0149804       0,324929       0,366836
3                   49     0,390408      0,0124786       0,372954       0,407862
--------------------------------------------------------------------------------
Total              135     0,364296

The StatAdvisor
---------------
   This table shows the mean vcelkom for each level of Modul.  It also
shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for vcelkom by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
2              34        0,345882          X 
1              52        0,351731          X 
3              49        0,390408           X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                      0,00584842           0,0381083         
1 - 3                                     *-0,0386774           0,0344011         
2 - 3                                     *-0,0445258           0,0385667         
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  An asterisk has been placed next to 2 pairs, indicating that
these pairs show statistically significant differences at the 95,0%
confidence level.  At the top of the page, 2 homogenous groups are
identified using columns of X's.  Within each column, the levels
containing X's form a group of means within which there are no
statistically significant differences.  The method currently being
used to discriminate among the means is Fisher's least significant
difference (LSD) procedure.  With this method, there is a 5,0% risk of
calling each pair of means significantly different when the actual
difference equals 0.  

Variance Check

Cochran's C test: 0,35682   P-Value = 1,0
Bartlett's test: 1,00114   P-Value = 0,928304
Hartley's test: 1,12785
Levene's test: 0,0599769   P-Value = 0,941812

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of vcelkom within each of the
3 levels of Modul is the same.  Of particular interest are the three
P-values.  Since the smallest of the P-values is greater than or equal
to 0,05, there is not a statistically significant difference amongst
the standard deviations at the 95,0% confidence level.  

Kruskal-Wallis Test for vcelkom by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  63,7885             
2                   34                  59,3676             
3                   49                  78,4592             
------------------------------------------------------------
Test statistic = 5,77324   P-Value = 0,0557644

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of vcelkom within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is greater than or equal to 0,05, there is
not a statistically significant difference amongst the medians at the
95,0% confidence level.  

One-Way ANOVA - v32_50M1 by Modul

Analysis Summary

Dependent variable: v32_50M1
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for
v32_50M1.  It constructs various tests and graphs to compare the mean
values of v32_50M1 for the 3 different levels of Modul.  The F-test in
the ANOVA table will test whether there are any significant
differences amongst the means.  If there are, the Multiple Range Tests
will tell you which means are significantly different from which
others.  If you are worried about the presence of outliers, choose the
Kruskal-Wallis Test which compares medians instead of means.  The
various plots will help you judge the practical significance of the
results, as well as allow you to look for possible violations of the
assumptions underlying the analysis of variance.  

Summary Statistics for v32_50M1

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,369892            0,0110746           0,105236            0,109375            
2                   34                  0,378676            0,0120303           0,109683            0,15625             
3                   49                  0,400829            0,0115514           0,107478            0,125               
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,383333            0,011503            0,107252            0,109375            

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,59375             0,484375            -1,08039            -0,167275           
2                   0,5625              0,40625             -1,11946            -0,583561           
3                   0,65625             0,53125             -0,420557           0,0914572           
------------------------------------------------------------------------------------------------------------------------
Total               0,65625             0,546875            -1,39054            -0,386966           

The StatAdvisor
---------------
   This table shows various statistics for v32_50M1 for each of the 3
levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

ANOVA Table for v32_50M1 by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups          0,0251313      2    0,0125657       1,09       0,3379
Within groups             1,51627    132    0,0114869
-----------------------------------------------------------------------------
Total (Corr.)             1,54141    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of v32_50M1 into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 1,09391, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is greater than or equal to 0,05, there is not a
statistically significant difference between the mean v32_50M1 from
one level of Modul to another at the 95,0% confidence level.

Table of Means for v32_50M1 by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,369892      0,0148628       0,349103       0,390681
2                   34     0,378676      0,0183807       0,352967       0,404386
3                   49     0,400829       0,015311       0,379413       0,422245
--------------------------------------------------------------------------------
Total              135     0,383333

The StatAdvisor
---------------
   This table shows the mean v32_50M1 for each level of Modul.  It
also shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for v32_50M1 by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
1              52        0,369892          X
2              34        0,378676          X
3              49        0,400829          X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                      -0,00878464          0,0467583         
1 - 3                                      -0,0309373           0,0422097         
2 - 3                                      -0,0221526           0,0473208         
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  There are no statistically significant differences between any
pair of means at the 95,0% confidence level.  At the top of the page,
one homogenous group is identified by a column of X's.  Within each
column, the levels containing X's form a group of means within which
there are no statistically significant differences.  The method
currently being used to discriminate among the means is Fisher's least
significant difference (LSD) procedure.  With this method, there is a
5,0% risk of calling each pair of means significantly different when
the actual difference equals 0.  

Variance Check

Cochran's C test: 0,347132   P-Value = 1,0
Bartlett's test: 1,00053   P-Value = 0,965853
Hartley's test: 1,0863
Levene's test: 0,040259   P-Value = 0,960552

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of v32_50M1 within each of the
3 levels of Modul is the same.  Of particular interest are the three
P-values.  Since the smallest of the P-values is greater than or equal
to 0,05, there is not a statistically significant difference amongst
the standard deviations at the 95,0% confidence level.  

Kruskal-Wallis Test for v32_50M1 by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  63,3558             
2                   34                  68,1618             
3                   49                  72,8163             
------------------------------------------------------------
Test statistic = 1,48049   P-Value = 0,476996

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of v32_50M1 within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is greater than or equal to 0,05, there is
not a statistically significant difference amongst the medians at the
95,0% confidence level.  

One-Way ANOVA - prir_teoria by Modul

Analysis Summary

Dependent variable: prir_teoria
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for
prir_teoria.  It constructs various tests and graphs to compare the
mean values of prir_teoria for the 3 different levels of Modul.  The
F-test in the ANOVA table will test whether there are any significant
differences amongst the means.  If there are, the Multiple Range Tests
will tell you which means are significantly different from which
others.  If you are worried about the presence of outliers, choose the
Kruskal-Wallis Test which compares medians instead of means.  The
various plots will help you judge the practical significance of the
results, as well as allow you to look for possible violations of the
assumptions underlying the analysis of variance.  

Summary Statistics for prir_teoria

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,490385            0,0238406           0,154404            0,0833333           
2                   34                  0,428105            0,0485465           0,220333            -0,277778           
3                   49                  0,245465            0,0934718           0,305732            -0,388889           
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,385802            0,0664118           0,257705            -0,388889           

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,805556            0,722222            -0,903742           0,0346028           
2                   0,75                1,02778             -2,63684            2,15848             
3                   0,694444            1,08333             -1,16745            -1,24827            
------------------------------------------------------------------------------------------------------------------------
Total               0,805556            1,19444             -4,90939            1,71388             

The StatAdvisor
---------------
   This table shows various statistics for prir_teoria for each of the
3 levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

WARNING: The standardized skewness and/or kurtosis is outside the
range of -2 to +2 for 1 levels of Modul.  This indicates some
significant nonnormality in the data, which violates the assumption
that the data come from normal distributions.  You may wish to
transform the data or use the Kruskal-Wallis test to compare the
medians instead of the means.  

ANOVA Table for prir_teoria by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups            1,59463      2     0,797313      14,41       0,0000
Within groups             7,30455    132    0,0553375
-----------------------------------------------------------------------------
Total (Corr.)             8,89918    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of prir_teoria into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 14,4082, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is less than 0,05, there is a statistically
significant difference between the mean prir_teoria from one level of
Modul to another at the 95,0% confidence level.  To determine which
means are significantly different from which others, select Multiple
Range Tests from the list of Tabular Options.

Table of Means for prir_teoria by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,490385      0,0326218       0,444756       0,536014
2                   34     0,428105      0,0403432       0,371675       0,484534
3                   49     0,245465      0,0336056        0,19846        0,29247
--------------------------------------------------------------------------------
Total              135     0,385802

The StatAdvisor
---------------
   This table shows the mean prir_teoria for each level of Modul.  It
also shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for prir_teoria by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
3              49        0,245465          X 
2              34        0,428105           X
1              52        0,490385           X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                      0,06228              0,102628          
1 - 3                                     *0,24492              0,0926445         
2 - 3                                     *0,18264              0,103863          
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  An asterisk has been placed next to 2 pairs, indicating that
these pairs show statistically significant differences at the 95,0%
confidence level.  At the top of the page, 2 homogenous groups are
identified using columns of X's.  Within each column, the levels
containing X's form a group of means within which there are no
statistically significant differences.  The method currently being
used to discriminate among the means is Fisher's least significant
difference (LSD) procedure.  With this method, there is a 5,0% risk of
calling each pair of means significantly different when the actual
difference equals 0.  

Variance Check

Cochran's C test: 0,563562   P-Value = 0,000236215
Bartlett's test: 1,18229   P-Value = 0,0000177927
Hartley's test: 3,9207
Levene's test: 11,6623   P-Value = 0,0000216788

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of prir_teoria within each of
the 3 levels of Modul is the same.  Of particular interest are the
three P-values.  Since the smallest of the P-values is less than 0,05,
there is a statistically significant difference amongst the standard
deviations at the 95,0% confidence level.  This violates one of the
important assumptions underlying the analysis of variance and will
invalidate most of the standard statistical tests.  

Kruskal-Wallis Test for prir_teoria by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  82,0                
2                   34                  72,6029             
3                   49                  49,949              
------------------------------------------------------------
Test statistic = 17,6087   P-Value = 0,000150083

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of prir_teoria within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is less than 0,05, there is a statistically
significant difference amongst the medians at the 95,0% confidence
level.  To determine which medians are significantly different from
which others, select Box-and-Whisker Plot from the list of Graphical
Options and select the median notch option.

One-Way ANOVA - prir_prax by Modul

Analysis Summary

Dependent variable: prir_prax
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for
prir_prax.  It constructs various tests and graphs to compare the mean
values of prir_prax for the 3 different levels of Modul.  The F-test
in the ANOVA table will test whether there are any significant
differences amongst the means.  If there are, the Multiple Range Tests
will tell you which means are significantly different from which
others.  If you are worried about the presence of outliers, choose the
Kruskal-Wallis Test which compares medians instead of means.  The
various plots will help you judge the practical significance of the
results, as well as allow you to look for possible violations of the
assumptions underlying the analysis of variance.  

Summary Statistics for prir_prax

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,376803            0,0315818           0,177713            -0,09375            
2                   34                  0,188879            0,047783            0,218593            -0,265625           
3                   49                  0,318878            0,0475252           0,218003            -0,265625           
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,308449            0,0462918           0,215155            -0,265625           

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,765625            0,859375            -0,364445           -0,165945           
2                   0,640625            0,90625             0,510157            0,0417008           
3                   0,75                1,01563             -1,77286            0,323818            
------------------------------------------------------------------------------------------------------------------------
Total               0,765625            1,03125             -1,68078            -0,27556            

The StatAdvisor
---------------
   This table shows various statistics for prir_prax for each of the 3
levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

ANOVA Table for prir_prax by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups           0,734386      2     0,367193       8,86       0,0002
Within groups             5,46872    132    0,0414297
-----------------------------------------------------------------------------
Total (Corr.)             6,20311    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of prir_prax into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 8,86304, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is less than 0,05, there is a statistically
significant difference between the mean prir_prax from one level of
Modul to another at the 95,0% confidence level.  To determine which
means are significantly different from which others, select Multiple
Range Tests from the list of Tabular Options.

Table of Means for prir_prax by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,376803      0,0282263       0,337322       0,416284
2                   34     0,188879      0,0349073       0,140053       0,237705
3                   49     0,318878      0,0290776       0,278206       0,359549
--------------------------------------------------------------------------------
Total              135     0,308449

The StatAdvisor
---------------
   This table shows the mean prir_prax for each level of Modul.  It
also shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for prir_prax by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
2              34        0,188879          X 
3              49        0,318878           X
1              52        0,376803           X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                     *0,187924             0,0888            
1 - 3                                      0,0579253            0,0801615         
2 - 3                                     *-0,129999            0,0898682         
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  An asterisk has been placed next to 2 pairs, indicating that
these pairs show statistically significant differences at the 95,0%
confidence level.  At the top of the page, 2 homogenous groups are
identified using columns of X's.  Within each column, the levels
containing X's form a group of means within which there are no
statistically significant differences.  The method currently being
used to discriminate among the means is Fisher's least significant
difference (LSD) procedure.  With this method, there is a 5,0% risk of
calling each pair of means significantly different when the actual
difference equals 0.  

Variance Check

Cochran's C test: 0,37657   P-Value = 0,673378
Bartlett's test: 1,01947   P-Value = 0,283795
Hartley's test: 1,51299
Levene's test: 0,624884   P-Value = 0,536899

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of prir_prax within each of
the 3 levels of Modul is the same.  Of particular interest are the
three P-values.  Since the smallest of the P-values is greater than or
equal to 0,05, there is not a statistically significant difference
amongst the standard deviations at the 95,0% confidence level.  

Kruskal-Wallis Test for prir_prax by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  79,9038             
2                   34                  45,4412             
3                   49                  71,0204             
------------------------------------------------------------
Test statistic = 16,4304   P-Value = 0,000270508

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of prir_prax within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is less than 0,05, there is a statistically
significant difference amongst the medians at the 95,0% confidence
level.  To determine which medians are significantly different from
which others, select Box-and-Whisker Plot from the list of Graphical
Options and select the median notch option.

One-Way ANOVA - cprirastok by Modul

Analysis Summary

Dependent variable: cprirastok
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for
cprirastok.  It constructs various tests and graphs to compare the
mean values of cprirastok for the 3 different levels of Modul.  The
F-test in the ANOVA table will test whether there are any significant
differences amongst the means.  If there are, the Multiple Range Tests
will tell you which means are significantly different from which
others.  If you are worried about the presence of outliers, choose the
Kruskal-Wallis Test which compares medians instead of means.  The
various plots will help you judge the practical significance of the
results, as well as allow you to look for possible violations of the
assumptions underlying the analysis of variance.  

Summary Statistics for cprirastok

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,417692            0,0226181           0,150393            0,06                
2                   34                  0,275               0,035347            0,188008            -0,07               
3                   49                  0,292449            0,0489522           0,221251            -0,2                
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,336296            0,0390757           0,197676            -0,2                

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,77                0,71                -0,599223           -0,640433           
2                   0,64                0,71                -0,18753            -0,856194           
3                   0,69                0,89                -1,56873            -1,04939            
------------------------------------------------------------------------------------------------------------------------
Total               0,77                0,97                -2,55735            -0,666283           

The StatAdvisor
---------------
   This table shows various statistics for cprirastok for each of the
3 levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

ANOVA Table for cprirastok by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups           0,566469      2     0,283234       8,01       0,0005
Within groups             4,66968    132    0,0353764
-----------------------------------------------------------------------------
Total (Corr.)             5,23615    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of cprirastok into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 8,00632, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is less than 0,05, there is a statistically
significant difference between the mean cprirastok from one level of
Modul to another at the 95,0% confidence level.  To determine which
means are significantly different from which others, select Multiple
Range Tests from the list of Tabular Options.

Table of Means for cprirastok by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,417692      0,0260828       0,381209       0,454175
2                   34        0,275      0,0322565       0,229882       0,320118
3                   49     0,292449      0,0268694       0,254866       0,330032
--------------------------------------------------------------------------------
Total              135     0,336296

The StatAdvisor
---------------
   This table shows the mean cprirastok for each level of Modul.  It
also shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for cprirastok by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
2              34        0,275             X 
3              49        0,292449          X 
1              52        0,417692           X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                     *0,142692             0,0820566         
1 - 3                                     *0,125243             0,0740741         
2 - 3                                      -0,017449            0,0830437         
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  An asterisk has been placed next to 2 pairs, indicating that
these pairs show statistically significant differences at the 95,0%
confidence level.  At the top of the page, 2 homogenous groups are
identified using columns of X's.  Within each column, the levels
containing X's form a group of means within which there are no
statistically significant differences.  The method currently being
used to discriminate among the means is Fisher's least significant
difference (LSD) procedure.  With this method, there is a 5,0% risk of
calling each pair of means significantly different when the actual
difference equals 0.  

Variance Check

Cochran's C test: 0,457851   P-Value = 0,0566856
Bartlett's test: 1,05645   P-Value = 0,0276893
Hartley's test: 2,16429
Levene's test: 2,64591   P-Value = 0,0747021

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of cprirastok within each of
the 3 levels of Modul is the same.  Of particular interest are the
three P-values.  Since the smallest of the P-values is less than 0,05,
there is a statistically significant difference amongst the standard
deviations at the 95,0% confidence level.  This violates one of the
important assumptions underlying the analysis of variance and will
invalidate most of the standard statistical tests.  

Kruskal-Wallis Test for cprirastok by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  82,8462             
2                   34                  54,8676             
3                   49                  61,3571             
------------------------------------------------------------
Test statistic = 12,7454   P-Value = 0,00170758

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of cprirastok within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is less than 0,05, there is a statistically
significant difference amongst the medians at the 95,0% confidence
level.  To determine which medians are significantly different from
which others, select Box-and-Whisker Plot from the list of Graphical
Options and select the median notch option.

One-Way ANOVA - vcelkom by Modul

Analysis Summary

Dependent variable: vcelkom
Factor: Modul

Number of observations: 135
Number of levels: 3

The StatAdvisor
---------------
   This procedure performs a one-way analysis of variance for vcelkom.
It constructs various tests and graphs to compare the mean values of
vcelkom for the 3 different levels of Modul.  The F-test in the ANOVA
table will test whether there are any significant differences amongst
the means.  If there are, the Multiple Range Tests will tell you which
means are significantly different from which others.  If you are
worried about the presence of outliers, choose the Kruskal-Wallis Test
which compares medians instead of means.  The various plots will help
you judge the practical significance of the results, as well as allow
you to look for possible violations of the assumptions underlying the
analysis of variance.  

Summary Statistics for vcelkom

Modul               Count               Average             Variance            Standard deviation  Minimum             
------------------------------------------------------------------------------------------------------------------------
1                   52                  0,351731            0,00730871          0,085491            0,13                
2                   34                  0,345882            0,00824314          0,0907917           0,18                
3                   49                  0,390408            0,00754983          0,0868898           0,22                
------------------------------------------------------------------------------------------------------------------------
Total               135                 0,364296            0,00791275          0,0889536           0,13                

Modul               Maximum             Range               Stnd. skewness      Stnd. kurtosis      
------------------------------------------------------------------------------------------------------------------------
1                   0,54                0,41                -1,10805            0,318631            
2                   0,55                0,37                0,684573            -0,178366           
3                   0,58                0,36                0,626963            -0,421777           
------------------------------------------------------------------------------------------------------------------------
Total               0,58                0,45                0,0839789           -0,0886981          

The StatAdvisor
---------------
   This table shows various statistics for vcelkom for each of the 3
levels of Modul.  The one-way analysis of variance is primarily
intended to compare the means of the different levels, listed here
under the Average column.  Select Means Plot from the list of
Graphical Options to display the means graphically.  

ANOVA Table for vcelkom by Modul

                            Analysis of Variance
-----------------------------------------------------------------------------
Source             Sum of Squares     Df  Mean Square    F-Ratio      P-Value
-----------------------------------------------------------------------------
Between groups          0,0531486      2    0,0265743       3,48       0,0336
Within groups             1,00716    132      0,00763
-----------------------------------------------------------------------------
Total (Corr.)             1,06031    134

The StatAdvisor
---------------
   The ANOVA table decomposes the variance of vcelkom into two
components: a between-group component and a within-group component. 
The F-ratio, which in this case equals 3,48287, is a ratio of the
between-group estimate to the within-group estimate.  Since the
P-value of the F-test is less than 0,05, there is a statistically
significant difference between the mean vcelkom from one level of
Modul to another at the 95,0% confidence level.  To determine which
means are significantly different from which others, select Multiple
Range Tests from the list of Tabular Options.

Table of Means for vcelkom by Modul
with 95,0 percent LSD intervals
--------------------------------------------------------------------------------
                                       Stnd. error
Modul            Count         Mean     (pooled s)    Lower limit    Upper limit
--------------------------------------------------------------------------------
1                   52     0,351731      0,0121132       0,334788       0,368674
2                   34     0,345882      0,0149804       0,324929       0,366836
3                   49     0,390408      0,0124786       0,372954       0,407862
--------------------------------------------------------------------------------
Total              135     0,364296

The StatAdvisor
---------------
   This table shows the mean vcelkom for each level of Modul.  It also
shows the standard error of each mean, which is a measure of its
sampling variability.  The standard error is formed by dividing the
pooled standard deviation by the square root of the number of
observations at each level.  The table also displays an interval
around each mean.  The intervals currently displayed are based on
Fisher's least significant difference (LSD) procedure.  They are
constructed in such a way that if two means are the same, their
intervals will overlap 95,0% of the time.  You can display the
intervals graphically by selecting Means Plot from the list of
Graphical Options.  In the Multiple Range Tests, these intervals are
used to determine which means are significantly different from which
others.

Multiple Range Tests for vcelkom by Modul

--------------------------------------------------------------------------------
Method: 95,0 percent LSD
Modul          Count     Mean              Homogeneous Groups
--------------------------------------------------------------------------------
2              34        0,345882          X 
1              52        0,351731          X 
3              49        0,390408           X
--------------------------------------------------------------------------------
Contrast                                   Difference           +/-  Limits
--------------------------------------------------------------------------------
1 - 2                                      0,00584842           0,0381083         
1 - 3                                     *-0,0386774           0,0344011         
2 - 3                                     *-0,0445258           0,0385667         
--------------------------------------------------------------------------------
* denotes a statistically significant difference.

The StatAdvisor
---------------
   This table applies a multiple comparison procedure to determine
which means are significantly different from which others.  The bottom
half of the output shows the estimated difference between each pair of
means.  An asterisk has been placed next to 2 pairs, indicating that
these pairs show statistically significant differences at the 95,0%
confidence level.  At the top of the page, 2 homogenous groups are
identified using columns of X's.  Within each column, the levels
containing X's form a group of means within which there are no
statistically significant differences.  The method currently being
used to discriminate among the means is Fisher's least significant
difference (LSD) procedure.  With this method, there is a 5,0% risk of
calling each pair of means significantly different when the actual
difference equals 0.  

Variance Check

Cochran's C test: 0,35682   P-Value = 1,0
Bartlett's test: 1,00114   P-Value = 0,928304
Hartley's test: 1,12785
Levene's test: 0,0599769   P-Value = 0,941812

The StatAdvisor
---------------
   The four statistics displayed in this table test the null
hypothesis that the standard deviations of vcelkom within each of the
3 levels of Modul is the same.  Of particular interest are the three
P-values.  Since the smallest of the P-values is greater than or equal
to 0,05, there is not a statistically significant difference amongst
the standard deviations at the 95,0% confidence level.  

Kruskal-Wallis Test for vcelkom by Modul

Modul               Sample Size         Average Rank
------------------------------------------------------------
1                   52                  63,7885             
2                   34                  59,3676             
3                   49                  78,4592             
------------------------------------------------------------
Test statistic = 5,77324   P-Value = 0,0557644

The StatAdvisor
---------------
   The Kruskal-Wallis test tests the null hypothesis that the medians
of vcelkom within each of the 3 levels of Modul are the same.  The
data from all the levels is first combined and ranked from smallest to
largest.  The average rank is then computed for the data at each
level.  Since the P-value is greater than or equal to 0,05, there is
not a statistically significant difference amongst the medians at the
95,0% confidence level.