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Primary Data Structures

Normal Plenum

Select (Data, Primary Data Structures) and click on the About command to the left of the Normal Plenum command

Next, click on the Normal Plenum command

click on the upper arrow to the right of the Number of Arguments label and set n to 3. Select (Operations, Add Variables) and label the sum T. Select (Frequencies, Frequencies) to compute frequencies for the variable T.

  Select (Graphs, Multiple Graphs) and select the p q r and Frequency variables. Click on the Accept command. Click on (Colors, Uniform Color Series) command and select either Random Colors, Pastel Colors, or Studio Colors command.

 

Select (Analysis I, Correlation, Matrix of Correlations) and select the p q r variables

Select (Analysis III, Reliability Analysis)

select variables p, q, and r, and click on the Accept command.

Select (Analysis III, Homogeneity Analysis) select variables p, q, and r, and click on the Accept command.

Select (Data, Primary Data Structures, Normal Plenum), set the Number of Arguments to 9, and click on the Accept command to generate p, q. r, ..., x plenum with 512 response patterns. Select (Operations, Add Variables), add variables p, q. r, ..., x and name the resulting sum T. Select (Frequencies, Frequencies) and (Graphs, Bar Graphs) commands to plot the Argument and Frequency of the variable T.

 

For the Normal Plenum, underlying the binomial and normal distributions, intercorrelations between the p, q, r, ... variables are zero and both coefficient of reliability and coefficient of homogeneity are equal to zero.

Parallel Plenum

Select (Data, Primary Data Structures) and click on the About command to the left of the Parallel Plenum command.

 

Next, click on the Parallel Plenum command

click on the upper arrows to the right of the Number of Arguments and Number of Strata and set both ns to 3. Select (Operations, Add Variables) and label the sum T. Select (Frequencies, Frequencies) to compute frequencies for the variable T.

  Select (Graphs, Multiple Graphs) and select the p q r and Frequency variables. Click on the Accept command. Click on (Colors, Uniform Color Series) command and assign colors to series 1, 2, 3, and 4.

Select (Analysis I, Correlation, Matrix of Correlations) and select the p q r variables

Select (Analysis III, Reliability Analysis)

 

 

 and (Analysis III, Homogeneity Analysis)

Select (Data, Primary Data Structures, Parallel Plenum) ad set both the Number of Arguments and Number of Strata to 9. Select (Frequencies, Frequencies) and (Graph, Bar Graph).

 

For the Parallel Plenum, underlying a rectangular distribution, intercorrelations between the p, q, r, ... variables are one and both coefficient of reliability and coefficient of homogeneity are equal to one.

Hierarchical Plenum

Select (Data, Primary Data Structures) and click on the About command to the left of the Hierarchical Plenum command.

Next, click on the Hierarchical Plenum command

   

 

 

 

Set number of arguments to 8  and click on the Accept command. Add response patterns p, q, ..., w and deposit the result to the variable T. Select (Frequencies, Frequencies) and compute frequencies of variable T.

Select (Graphs, Multiple Graphs) and select variables p, q, ... w, and the Frequency variable) and click on the Accept command. Select (Coordinates, Cartesian) and click on the Colors command.

 

Select (Analysis I, Correlation, Matrix of Correlations) and select the p q, ..., v variables

 

Select (Analysis III, Reliability Analysis)

and (Analysis III, Homogeneity Analysis)

For the Hierarchical Plenum, underlying a  1 to 8 hierarchical scale, intercorrelations between the p, q, r, ... variables are congruent with the Spearman's tetrad criterion, the coefficient of homogeneity is equal to one and the coefficient of reliability is less than one.