{smcl}
{* 6Feb2006}{cmd:help mvsktest}

{hline}

{title:Multivariate skewness and kurtosis}

{p2colset 5 19 21 2}{...}
{p2col :{hi: mvsktest} {hline 2 }}Multivariate skewness and kurtosis test{p_end}
{p2colreset}{...}


{title:Syntax}

{p 8 15 2}
{cmd:mvsktest} {it:varlist} [{cmd:if} {it:exp}] [{cmd:in} {it:range}]



{title:Description}

{pstd}
{opt mvsktest} performs an (asymptotic) test for multivariate skewness and kurtosis
using the results in Mardia (1970). Separate p-values are given for the
multivariate skewness and multivariate kurtosis.

{title:Example}

{phang}{cmd:. sysuse auto}{p_end}

{phang}{cmd:. mvsktest wei len turn head trunk}{p_end}

{phang}{txt}Multvariate skewness b_1,p =  {res}5.0866{txt}{p_end}
{phang}chi2({res}35{txt})=  {res}62.7349{txt}; Prob > chi2 = {res}0.0027{txt}{p_end}

{phang}Multivariate kurtosis b_2,p = {res}34.3138{txt}{p_end}
{phang}z =  {res}0.1270{txt}; Prob > |z| =  {res}0.8989{txt}{p_end}

{phang}{cmd:. mvsktest wei len turn head trunk disp for}{p_end}

{phang}{txt}Multvariate skewness b_1,p = {res}15.9989{txt}{p_end}
{phang}chi2({res}84{txt})= {res}197.3198{txt}; Prob > chi2 = {res}0.0000{txt}{p_end}
{phang}#D.f. < #obs.; asymptotic distribution may not be accurate{p_end}

{phang}Multivariate kurtosis b_2,p = {res}66.3341{txt}{p_end}
{phang}z =  {res}1.9213{txt}; Prob > |z| =  {res}0.0547{txt}{p_end}



{title:See also}
{p 0 21}{bind:}Online:    help for {help sktest} {p_end}
{p 0 21}{bind:}On paper: Mardia, K. V. (1970)
   {browse "http://links.jstor.org/sici?sici=0006-3444%28197012%2957%3A3%3C519%3AMOMSAK%3E2.0.CO%3B2-Z":Measures of Multivariate Skewness and Kurtosis with Applications.}
   Biometrika, {hi: 57} (3), pp. 519-530{p_end}


{title:Contributed by}
Stas Kolenikov, skolenik at gmail.com