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Accessing the results of an adjustment

 

Consider the following scenario: Suppose that base tex2html_wrap_inline40230 has been adjusted by base tex2html_wrap_inline40232 and that we might observe tex2html_wrap_inline42912 (otherwise, data-related results are not available).

Adjusted expectation
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

tex2html_wrap_inline33806 tex2html_wrap_inline33806

The value returned is the current evaluation of the adjusted expectation for any newly adjusted element N. For example, suppose that element N is contained in base tex2html_wrap_inline40230 . Then tex2html_wrap_inline42916 . See [31, sections 3.1, 4,].  

Adjusted covariance
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • ac  operator; two arguments tex2html_wrap_inline35788 and tex2html_wrap_inline35608 in parenthesis, and separated by a comma. tex2html_wrap_inline35788 and tex2html_wrap_inline35608 are elements.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

The value returned is the current adjusted covariance between any two newly adjusted elements tex2html_wrap_inline35788 and tex2html_wrap_inline35608 . For example, suppose that tex2html_wrap_inline34584 and tex2html_wrap_inline35608 are contained in base tex2html_wrap_inline40230 . Then

displaymath42904

See [31, section 3.3,]. See also the av  operator if only variances are required.

If tex2html_wrap_inline40230 comprises the elements tex2html_wrap_inline42938 , and tex2html_wrap_inline42940 is some k-dimensional vector, and if we define the tex2html_wrap_inline42942 matrix tex2html_wrap_inline42944 , then the adjusted variance of tex2html_wrap_inline42946 is

displaymath42905

and tex2html_wrap_inline42950 is the adjusted belief structure. Note also that

eqnarray27194

where the tex2html_wrap_inline42952 's are the canonical resolutions for the adjustment (these are obtainable using the [B/D] operator tex2html_wrap_inline42954 ), and where tex2html_wrap_inline42956 is the corresponding eigenvector (which may be retained using the cd  argument to the KEEP:  command). The diagonal values tex2html_wrap_inline42958 are what you see if you issue the command SHOW:  (v ).  

Adjusted variance
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • av  operator; one argument tex2html_wrap_inline42960 in parenthesis. tex2html_wrap_inline42960 is the name of an element.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

the value returned is the current adjusted variance for the newly adjusted element tex2html_wrap_inline42960 . for example, suppose that tex2html_wrap_inline43046 is contained in base tex2html_wrap_inline42966 . then tex2html_wrap_inline42968 . see [31, section 3.3,]. this operator is shorthand for the ac  operator with the same two arguments. that is, tex2html_wrap_inline42970 is equivalent to tex2html_wrap_inline42972 .  

Size of the adjustment
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • size  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

If data is available, the size of an adjustment (the variance of the bearing for the adjustment) is returned, that is tex2html_wrap_inline37660 . See [31, section 4.4,].  

Discrepancy for the adjustment
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • dvsize  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

If data is available, the discrepancy for an adjustment (the largest squared change in expectation, relative to the amount of prior variation removed) is returned, that is tex2html_wrap_inline41420 .  

Last kind of adjustment
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • lasttype  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns a signed integer according to the last type of adjustment:

-1
An adjustment involving deletion of elements from tex2html_wrap_inline35840 , with no data observed.
1
An adjustment involving addition of elements to tex2html_wrap_inline35840 , with no data observed.
-2
An adjustment involving deletion of elements from tex2html_wrap_inline35840 , with data observed.
2
An adjustment involving addition of elements to tex2html_wrap_inline35840 , with data observed.

Thus, the sign of the value given indicates whether the command had involved addition to or deletion from tex2html_wrap_inline35840 ; and the absolute value of the integer indicates whether observations tex2html_wrap_inline42912 were available or not.  

Rank of prior variance matrix
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • rank  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns tex2html_wrap_inline42988 , the rank of the prior variance matrix for the collection tex2html_wrap_inline40230 being adjusted.  

Maximal resolution matrix rank
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • mrmrank  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns tex2html_wrap_inline42992 : the rank of the maximal resolution matrix, being the number of maximal canonical directions corresponding to non-zero maximal canonical resolutions. This quantity is available only when an adjustment involving exchangeable beliefs has been performed.  

Maximal resolution matrix trace
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • mrmtr  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns tex2html_wrap_inline42994 , the trace of the maximal resolution matrix, equal to the sum of the maximal canonical resolutions. This quantity is available only when an adjustment involving exchangeable beliefs has been performed.  

Kind of adjustment
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • adjhist  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns one of three integers according to the type of adjustment performed:

1
is returned if a single adjustment has occurred.

2
is returned if an initial adjustment followed by a partial adjustment has occurred, and where the partial adjustment is null. In such situations, the partial resolution matrix is null.

3
is returned if an initial adjustment followed by a partial adjustment has occurred, and where the partial adjustment is non-null.

 

Resolution matrix rank
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • rmrank  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns tex2html_wrap_inline40794 : the rank of the resolution matrix, being the number of canonical directions corresponding to non-zero canonical resolutions. See [31, sections 3.6,3.7,].  

Resolution matrix trace
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • rmtr  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns tex2html_wrap_inline38364 , the trace of the resolution matrix, equal to the sum of the canonical resolutions. See [31, sections 3.6, 3.7,].  

Canonical resolutions
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • cr  operator; one argument i in parenthesis. i is any valid equation, rounded to the nearest integer.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns the ith largest canonical resolution. It is an error if the index i is smaller than one or greater than the rank of the resolution matrix (obtainable as the operand rmrank ). For example, suppose that tex2html_wrap_inline43000 is the 4th canonical direction for the adjustment of tex2html_wrap_inline40230 by tex2html_wrap_inline40232 . Then tex2html_wrap_inline43006 . See [31, section 3.6,]  

Resolution partition
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • rp  operator; two operands, N followed by E, in parenthesis and separated by a comma. N is the name of an element. E is any valid equation. The result of the equation, when rounded, should be a positive integer i.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns the contribution to resolution in element N offered by the tex2html_wrap_inline34732 canonical direction. (See the rp  control for additional information.) It is an error if the index i is smaller than one or greater than the rank of the resolution matrix (obtainable as the operand rmrank ).

An example of the use of the rp  operator is as follows, where Temperature is assumed to be an element in the collection currently being adjusted, and there are at least two canonical directions.

BD>print : (rp (Temperature,2)) tex2html_wrap_inline33712

 

Sample size for the current adjustment
 


tex2html_wrap_inline33790 tex2html_wrap_inline33790 Usage

  • obs  operand.

tex2html_wrap_inline33806 tex2html_wrap_inline33806

This returns the number of selected data observations (and thus the sample size) for the elements contained in tex2html_wrap_inline40232 used in the current adjustment. Otherwise, if there is no data available, it returns the fictional sample size being used for the adjustment. Such fictional sample sizes are set using the obs  control.  


next up previous contents index
Next: Accessing results available when Up: [B/D] operands and operators Previous: Binary operators

David Wooff
Wed Oct 21 15:14:31 BST 1998