Binary: $V_{j}$ can take the value $1$ or $0$ .
Categorical: $V_{j}$ can take one of $L_{j}$ distinct values or levels. Each level represents a discrete category but does not necessarily imply an ordering. The value used to represent each level is therefore arbitrary and, by convention and for convenience, is taken to be the integers from $1$ to $L_{j}$ .
Ordinal: As with a categorical variable $V_{j}$ can take one of $L_{j}$ distinct values or levels. However, unlike a categorical variable, the levels of an ordinal variable imply an ordering and hence the value used to represent each level is not arbitrary. For example, $V_{j} = 4$ implies a value that is twice as large as $V_{j} = 2$ .
Continuous: $V_{j}$ can take any real value.

g22ybc returns a G22 handle containing a description of a data matrix,

D

. The data matrix makes no distinction between binary, ordinal or continuous variables.

A name can also be assigned to each variable. If names are not supplied then the default vector of names,

\{' V1',' V2', \dots\}

is used.

4 References

None.

5 Arguments

1: $hddesc$ – void ** Input/Output: On entry: must be set to NULL, alternatively an existing G22 handle may be supplied in which case this function will destroy the supplied G22 handle as if g22zac had been called.

On exit: holds a G22 handle to the internal data structure containing a description of the data matrix, $D$ . You must not change the G22 handle other than through the functions in Chapter G22.
2: $nobs$ – Integer Input: On entry: $n$ , the number of observations in the data matrix, $D$ .

Constraint: $nobs \geq 0$ .
3: $nvar$ – Integer Input: On entry: $m_{d}$ , the number of variables in the data matrix, $D$ .

Constraint: $nvar \geq 0$ .
4: $levels [nvar]$ – const Integer Input: On entry: $levels [j - 1]$ contains the number of levels associated with the $j$ th variable of the data matrix, for $j = 1, 2, \dots, nvar$ .
If the $j$ th variable is binary, ordinal or continuous, $levels [j - 1]$ should be set to $1$ ; otherwise $levels [j - 1]$ should be set to the number of levels associated with the $j$ th variable and the corresponding column of the data matrix is assumed to take the value $1$ to $levels [j - 1]$ .

Constraint: $levels [i - 1] \geq 1$ , for $i = 1, 2, \dots, nvar$ .
5: $lvnames$ – Integer Input: On entry: the number of variable names supplied in vnames.

Constraint: $lvnames = 0$ or $nvar$ .
6: $vnames [lvnames]$ – const char * Input: On entry: if vnames is not NULL, $vnames [j - 1]$ must contain the name of the $j$ th variable, for $j = 1, 2, \dots, nvar$ . If $lvnames = 0$ , vnames is not referenced and may be NULL.
The names supplied in vnames should be at most $50$ characters long and be unique. If a name longer than $50$ characters is supplied it will be truncated.

Variable names must not contain any of the characters +.*-:^()@.
7: $fail$ – NagError * Input/Output: The NAG error argument (see Section 7 in the Introduction to the NAG Library CL Interface).

6 Error Indicators and Warnings

NE_ALLOC_FAIL: Dynamic memory allocation failed.
See Section 3.1.2 in the Introduction to the NAG Library CL Interface for further information.
NE_ARRAY_SIZE: On entry, $lvnames = 〈value〉$ and $nvar = 〈value〉$ .
Constraint: $lvnames = 0$ or $nvar$ .
NE_BAD_PARAM: On entry, argument $〈value〉$ had an illegal value.
NE_HANDLE: On entry, hddesc is not NULL or a recognised G22 handle.
NE_INT: On entry, $nobs = 〈value〉$ .
Constraint: $nobs \geq 0$ .

On entry, $nvar = 〈value〉$ .
Constraint: $nvar \geq 0$ .
NE_INT_ARRAY: On entry, $j = 〈value〉$ and $levels [j - 1] = 〈value〉$ .
Constraint: $levels [i - 1] \geq 1$ .
NE_INTERNAL_ERROR: An internal error has occurred in this function. Check the function call and any array sizes. If the call is correct then please contact NAG for assistance.
See Section 7.5 in the Introduction to the NAG Library CL Interface for further information.
NE_INVALID_FORMAT: On entry, variable name $i$ contains one more invalid characters, $i = 〈value〉$ .
NE_NO_LICENCE: Your licence key may have expired or may not have been installed correctly.
See Section 8 in the Introduction to the NAG Library CL Interface for further information.
NE_NON_UNIQUE: On entry, variable names $i$ and $j$ are not unique (possibly due to truncation), $i = 〈value〉$ and $j = 〈value〉$ .
Maximum variable name length is $50$ .

On entry, variable names $i$ and $j$ are not unique, $i = 〈value〉$ and $j = 〈value〉$ .
NW_TRUNCATED: At least one variable name was truncated to $50$ characters. Each truncated name is unique and will be used in all output.

7 Accuracy

Not applicable.

8 Parallelism and Performance

g22ybc is not threaded in any implementation.

9 Further Comments

9.1 Internal Changes

Internal changes have been made to this function as follows:

At Mark 27: Functionality has been expanded allowing the function to be used with g02jhc. An additional argument has been added to the interface and some of the error exits have been renumbered.

For details of all known issues which have been reported for the NAG Library please refer to the Known Issues.

10 Example

This example performs a linear regression using g02dac. The linear regression model is defined via a text string which is parsed using g22yac. The corresponding design matrix associated with the model and the dataset described via a call to g22ybc is generated using g22ycc.

Verbose labels for the parameters of the model are constructed using information returned in vinfo by g22ydc.

See also the examples in g22yac, g22ycc and g22ydc.

11 Optional Parameters

As well as the optional parameters common to all G22 handles described in g22zmc and g22znc, a number of additional optional parameters can be specified for a G22 handle holding the description of a data matrix as returned by g22ybc in hddesc.

Each writeable optional parameter has an associated default value; to set any of them to a non-default value, use g22zmc. The value of an optional parameter can be queried using g22znc.

The remainder of this section can be skipped if you wish to use the default values for all optional parameters.

The following is a list of the optional parameters available. A full description of each optional parameter is provided in Section 11.1.

Number of Observations
Number of Variables
Storage Order

11.1 Description of the Optional Parameters

For each option, we give a summary line, a description of the optional parameter and details of constraints.

The summary line contains:

a parameter value, where the letters $a$ , $i$ and $r$ denote options that take character, integer and real values respectively;
the default value.

Keywords and character values are case and white space insensitive.

Number of Observations

i

If queried, this optional parameter will return

n

, the number of observations in the data matrix.

Number of Variables

i

If queried, this optional parameter will return

m_{d}

, the number of variables in the data matrix.

Storage Order

a

Default

= OBSVAR

This optional parameter states how the data matrix,

D

, will be stored in its input array.

Storage Order = OBSVAR

D_{i j}

, the value for the

j

th variable of the

i

th observation of the data matrix is stored in

dat [(j - 1) \times pddat + i - 1]

Storage Order = VAROBS

D_{i j}

, the value for the

j

th variable of the

i

th observation of the data matrix is stored in

dat [(i - 1) \times pddat + j - 1]

Where dat is the input parameter of the same name in g22ycc.

Constraint:

Storage Order = OBSVAR

VAROBS

NAG Library Manual, Mark 27

Interfaces: FL CL CPP AD

NAG CL Interface Introduction

G22 (Blgm) Chapter Contents

G22 (Blgm) Chapter Introduction

g22yb: FL CL CPP AD

NAG CL Interfaceg22ybc (lm_​describe_​data)

▸▿ Contents

1 Purpose

2 Specification

3 Description