Probability Distributions

Probability Distributions

Probability Distributions

------------------------Distribution: Normal

Parameters:     Mean            Std. dev.      

Dist. 1      1               1              

Dist. 2                                     

Dist. 3                                     

Dist. 4                                     

Dist. 5                                     

The StatAdvisor

--------------This procedure allows you to analyze any of 24 probability

distributions.  Currently, the normal distribution has been selected.

You can create various plots, compute tail areas and critical values,

and generate random numbers from the selected distribution.  Up to

five sets of parameters can be specified by pressing the alternate

mouse button and selecting Analysis Options.

Cumulative Distribution

----------------------Distribution: Normal

Lower Tail Area (<)

Variable      Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0             0,158655                                                             

Probability Density

Variable      Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0             0,241971                                                              

Upper Tail Area (>)

Variable      Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0             0,841345                                                              

The StatAdvisor

--------------This pane evaluates the cumulative normal distribution.  It will

calculate the tail areas for up to 5 critical values of the

distribution.  It will also calculate the probability density or mass

function.  For example, the output indicates that, for the first

distribution specified, the probability of obtaining a value less than

0,0 is 0,158655.  Also, the probability of obtaining a value greater

than 0,0 is 0,841345.  The height of the probability density function

at 0,0 is 0,241971. 

Inverse CDF

----------Distribution: Normal

CDF           Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0,01          -1,32635     

0,1           -0,281554    

0,5           1            

0,9           2,28155      

0,99          3,32635      

The StatAdvisor

--------------This pane finds critical values for the normal distribution.  You

may specify up to 5 five tail areas.  The critical value is defined as

the largest value for the normal distribution such that the

probability of not exceeding that value does not exceed the area

specified.  For example, the output indicates that, for the first

distribution specified, -1,32635 is the largest value such that the

probability of not exceeding -1,32635 is less than or equal to 0,01.

Random Numbers

-------------To generate random numbers from the selected distribution,

use the save button on the analysis toolbar.

Random numbers to be generated: 100

The StatAdvisor

--------------This pane allows you to specify the number of observations desired

in a random sample from the normal distribution.  You set the number

of observations by pressing the alternate mouse button and selecting

Pane Options.  After setting the size, press the Save Results button

on the analysis toolbar.  This allows you to save random samples from

the specified distribution in columns of the current data file.  Every

time you select Save Results, a new random sample will be generated.

Probability Distributions

Probability Distributions

------------------------Distribution: Chi-Square

Parameters:     Deg. of freedom

Dist. 1      4              

Dist. 2                     

Dist. 3                      

Dist. 4                     

Dist. 5                     

The StatAdvisor

--------------This procedure allows you to analyze any of 24 probability

distributions.  Currently, the chi-square distribution has been

selected.  You can create various plots, compute tail areas and

critical values, and generate random numbers from the selected

distribution.  Up to five sets of parameters can be specified by

pressing the alternate mouse button and selecting Analysis Options.

Cumulative Distribution

----------------------Distribution: Chi-Square

Lower Tail Area (<)

Variable      Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0             0,0                                                                   

Probability Density

Variable      Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0             0,0                                                                  

Upper Tail Area (>)

Variable      Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0             1,0                                                                  

The StatAdvisor

--------------This pane evaluates the cumulative chi-square distribution.  It

will calculate the tail areas for up to 5 critical values of the

distribution.  It will also calculate the probability density or mass

function.  For example, the output indicates that, for the first

distribution specified, the probability of obtaining a value less than

0,0 is 0,0.  Also, the probability of obtaining a value greater than

0,0 is 1,0.  The height of the probability density function at 0,0 is

0,0. 

Inverse CDF

----------Distribution: Chi-Square

CDF           Dist. 1       Dist. 2       Dist. 3       Dist. 4       Dist. 5

0,01          0,297109     

0,1           1,06362      

0,5           3,35669      

0,9           7,77944      

0,99          13,2767      

The StatAdvisor

--------------This pane finds critical values for the chi-square distribution.