📄 drawnorm.hlp
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{smcl}
{* 25feb2005}{...}
{cmd:help drawnorm}{right:dialog: {bf:{dialog drawnorm}}}
{hline}
{title:Title}
{p2colset 5 21 24 2}{...}
{p2col :{hi:[D] drawnorm} {hline 2}}Draw sample from multivariate normal distribution{p_end}
{p2colreset}{...}
{title:Syntax}
{p 8 17 2}{cmd:drawnorm} {it:{help newvarlist}}
[{cmd:,} {it:options}]
{synoptset 22 tabbed}{...}
{synopthdr}
{synoptline}
{syntab :Main}
{synopt :{opt clear}}replace the current dataset{p_end}
{synopt :{opt d:ouble}}generate variable type as {opt double}; default is {opt float}{p_end}
{synopt :{opt n(#)}}{it:#} of observations to be generated; default is current number{p_end}
{synopt :{opt sd:s(vector)}}standard deviations of generated variables{p_end}
{synopt :{opt corr(matrix|vector)}}correlation matrix{p_end}
{synopt :{opt cov(matrix|vector)}}covariance matrix{p_end}
{synopt :{cmdab:cs:torage:(}{cmdab:f:ull)}}correlation/covariance structure is stored as a symmetric k*k matrix{p_end}
{synopt :{cmdab:cs:torage:(}{cmdab:l:ower)}}correlation/covariance structure is stored as lower triangular matrix{p_end}
{synopt :{cmdab:cs:torage:(}{cmdab:u:pper}{cmd:)}}correlation/covariance structure is stored as an upper triangular maxtrix{p_end}
{synopt :{opt m:eans(vector)}}means of generated variables; default is {cmd:means(0)}{p_end}
{syntab :Options}
{synopt :{opt seed(#)}}seed for random-number generator{p_end}
{synoptline}
{p2colreset}{...}
{title:Description}
{pstd}
{cmd:drawnorm} draws a sample from a multivariate normal distribution with
desired means and covariance matrix. The default is orthogonal data, mean
0, variance 1. The values generated are a function of the current
random-number seed or the number specified with {cmd:set seed()} option; see
{helpb generate}.
{title:Options}
{dlgtab:Main}
{phang}
{opt clear} specifies the dataset in memory be replaced, even though the
current dataset has not been saved on disk.
{phang}
{opt double} specifies that the new variables be stored as Stata
{opt double}s, meaning 8-byte reals. If {opt double} is not specified,
variables are stored as {opt float}s, meaning 4-byte reals. See
{help data types}.
{phang}
{opt n(#)} specifies the number of observations to be
generated. The default is the current number of observations. If {opt n(#)}
is not specified or is the same as the current number of observations,
{opt drawnorm} adds the new variables to the existing dataset; otherwise,
{opt drawnorm} replaces the data in memory.
{phang}
{opt sds(vector)} specifies
the standard deviations of the generated variables. {opt sds()} may not be
specified with {opt cov()}.
{phang}
{opt corr(matrix|vector)} specifies the correlation matrix.
If neither {opt corr()} nor {opt cov()} is
specified, the default is orthogonal data.
{phang}
{opt cov(matrix|vector)} specifies the covariance matrix.
If neither {opt corr()} nor {opt cov()} is
specified, the default is orthogonal data.
{phang}
{cmd:cstorage(full}|{cmd:lower}|{cmd:upper)}
specifies the storage mode for the correlation or covariance structure in
{opt corr()} or {opt cov()}. The following storage modes are supported:
{phang2}
{opt full} specifies that the correlation or covariance structure
is stored (recorded) as a symmetric k*k matrix.
{phang2}
{opt lower} specifies that the correlation or covariance structure is recorded
as a lower triangular matrix. With k variables, the matrix
should have k(k+1)/2 elements in the following order:
{p 16 20 2}
C(11) C(21) C(22) C(31) C(32) C(33) ... C(k1) C(k2) ... C(kk)
{phang2}
{opt upper} specifies that the correlation or covariance structure is recorded
as an upper triangular matrix. With k variables, the
matrix should have k(k+1)/2 elements in the following order:
{p 16 20 2}
C(11) C(12) C(13) ... C(1k) C(22) C(23) ... C(2k) ...
C(k-1k-1) C(k-1k) C(kk)
{pmore}
Specifying {cmd:cstorage(full)} is optional if matrix is square.
{cmd:cstorage(lower)} or {cmd:cstorage(upper)} is required for the vectorized
storage methods. See {help storage modes} for examples.
{phang}
{opt means(vector)} specifies the means of the generated variables. The
default is {cmd:means(0)}.
{dlgtab:Options}
{phang}
{opt seed(#)} specifies the initial value of the
random-number seed used by the {opt uniform()} function. The default is the
current random-number seed. Specifying {opt seed(#)} is the same
as typing {cmd:set seed} {it:#} before issuing the {cmd:drawnorm} command.
{p_end}
{title:Examples}
{pstd}
Generate 2000 independent observations ({cmd:x},{cmd:y});
{cmd:x} with mean 2 and standard deviation 5;
{cmd:y} with mean 3 and standard deviation 5,
{phang2}{cmd:. matrix m = (2,3)}{p_end}
{phang2}{cmd:. matrix sd = (.5,2)}{p_end}
{phang2}{cmd:. drawnorm x y, n(2000) means(m) sds(sd)}{p_end}
{phang2}{cmd:. summarize}
{pstd}
Draw a sample of 1000 observations from a bivariate standard normal
distribution, with correlation 0.5
{phang2}{cmd:. matrix C = (1, .5 \ .5, 1)}{p_end}
{phang2}{cmd:. drawnorm x y, n(1000) corr(C)}
{pstd}
Equivalently,
{phang2}{cmd:. matrix C = (1, .5, 1)}{p_end}
{phang2}{cmd:. drawnorm x y, n(1000) corr(C) cstorage(lower)}
{title:Also see}
{psee}
Manual: {bf:[D] drawnorm}
{psee}
Online: {helpb corr2data}, {helpb generate}
{p_end}
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