___  ____  ____  ____  ____ ©
 /__    /   ____/   /   ____/      17.0
___/   /   /___/   /   /___/       SE—Standard Edition

 Statistics and Data Science       Copyright 1985-2021 StataCorp LLC
                                   StataCorp
                                   4905 Lakeway Drive
                                   College Station, Texas 77845 USA
                                   800-STATA-PC        https://www.stata.com
                                   979-696-4600        stata@stata.com

Stata license: 10-user network perpetual
Serial number: 1
  Licensed to: Stata Developer
               StataCorp LLC

Notes:
      1. Stata is running in batch mode.
      2. Unicode is supported; see help unicode_advice.
      3. Maximum number of variables is set to 5,000; see help set_maxvar.


Running /home/krg/bin/profile.do ...
Compile number 170082

. do numacc3.do 

. /* NIST/ITL StRD
> 
> Univariate Summary Statistics
> 
> Difficulty=Average N=1001 Generated
> 
> File Name:     numacc3.dat
> 
> Dataset Name:  Numerical-Accuracy-3
> 
> Description:   This is a constructed/fabricated data set
>                to test accuracy in summary statistic calculations.
>                The numbers are 8-digit floating point values and
>                differ only in the last decimal place.
>                Note--by construction, this data set has
>                      sample mean            =  1000000.2   (exact)
>                      sample standard dev.   =        0.1   (exact)
>                      sample autocorr. coef. =     -0.999   (exact)
> 
> Stat Category: Univariate: Summary Statistics
> 
> Reference:     Simon, Stephen D. and Lesage, James P. (1989).
>                Assessing the Accuracy of ANOVA Caluclations
>                in Statistical Software", Computational
>                Statistics & data Analysis, 8, pp. 325-332.
> 
> 
> Data:          Constructed
>                1    Response           : y
>                0    Predictors
>                1001 Observations
> 
> Model:         Average Level of Difficulty
>                2    Parameters         : mu, sigma
>                1    Response Variable  : y
>                0    Predictor Variables
> 
>                y    = mu + e
> 
>                                                   Certified Values
> Sample Mean                                ybar:  1000000.2 (exact)
> Sample Standard Deviation (denom. = n-1)      s:  0.1       (exact)
> Sample Autocorrelation Coefficient (lag 1) r(1): -0.999     (exact)
> 
> Number of Observations:                             1001
> */
. 
. clear

. 
. scalar N    = 1001

. scalar mean = 1000000.2

. scalar sd   = 0.1

. scalar rho1 = -0.999

. 
. qui input double y

. 
. summarize y

    Variable |        Obs        Mean    Std. dev.       Min        Max
-------------+---------------------------------------------------------
           y |      1,001     1000000          .1    1000000    1000000

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

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

r(mean)             15.9
sqrt(r(Var))         9.5

. 
. gen time = _n

. tsset time

Time variable: time, 1 to 1001
        Delta: 1 unit

. corrgram y, lag(1)

                                          -1       0       1 -1       0       1
 LAG       AC       PAC      Q     Prob>Q  [Autocorrelation]  [Partial autocor]
-------------------------------------------------------------------------------
1       -0.9990  -1.0000     1002  0.0000   -------|          --------|        

. 
. lrecomp r(ac1) rho1
r(ac1)              11.9

. 
. 
end of do-file