___  ____  ____  ____  ____ ®
 /__    /   ____/   /   ____/      18.0
___/   /   /___/   /   /___/       SE—Standard Edition

 Statistics and Data Science       Copyright 1985-2023 StataCorp LLC
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                                   College Station, Texas 77845 USA
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Stata license: 10-user network perpetual
Serial number: 1
  Licensed to: Stata Developer
               StataCorp LLC

Notes:
      1. Stata is running in batch mode.
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          see help set_maxvar.


Running /home/krg/bin/profile.do ...
Compile number 180110

. do lottery.do 

. /* NIST/ITL StRD
> 
> Univariate Summary Statistics
> 
> Difficulty=Lower N=218 Observed
> 
> File Name:     lottery.dat
> 
> Dataset Name:  Maryland Pick-3 Lottery
> 
> Description:   This is an observed/"real world" data set
>                consisting of 218 Maryland Pick-3 Lottery values
>                from September 3, 1989 to April 14, 1990 (32 weeks).
>                One 3-digit random number (from 000 to 999)
>                is drawn per day, 7 days per week for most
>                weeks, but fewer days per week for some weeks.
>                We here use this data to test accuracy
>                in summary statistics calculations.
> 
> Stat Category: Univariate: Summary Statistics
> 
> Reference:     None
> 
> Data:          "Real World"
>                1    Response          : y = 3-digit random number
>                0    Predictors
>                218  Observations
> 
> Model:         Lower Level of Difficulty
>                2    Parameters        : mu, sigma
>                1    Response Variable : y
>                0    Predictor Variables
> 
>                y    = mu + e
> 
>                                                   Certified Values
> Sample Mean                                ybar:  518.958715596330
> Sample Standard Deviation (denom. = n-1)      s:  291.699727470969
> Sample Autocorrelation Coefficient (lag 1) r(1):  -0.120948622967393
> 
> Number of Observations:                             218
> */
. 
. clear

. 
. scalar N    = 218

. scalar mean = 518.958715596330

. scalar sd   = 291.699727470969

. scalar rho1 = -0.120948622967393

. 
. qui input int y

. 
. summarize y

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
           y |        218    518.9587    291.6997          4        999

. assert scalar(N) == r(N)

. 
. lrecomp r(mean) mean sqrt(r(Var)) sd

r(mean)             15.2
sqrt(r(Var))        15.7

. 
. gen time = _n

. tsset time

Time variable: time, 1 to 218
        Delta: 1 unit

. corrgram y, lag(1)

                                          -1       0       1 -1       0       1
 LAG       AC       PAC      Q     Prob>Q  [Autocorrelation]  [Partial autocor]
-------------------------------------------------------------------------------
1       -0.1209  -0.1222   3.2331  0.0722          |                  |        

. 
. lrecomp r(ac1) rho1
r(ac1)              15.0

. 
end of do-file