```Date: Nov 27, 2012 2:53 PM
Author: Luis A. Afonso
Subject: Range/stdv.dev. ratio for Normal data

Range/stdv.dev. ratio for Normal dataResults (trials 1, 2, 3 and literature: P. G. Hoel, Introduction to Mathematical Statistics. _________Trial-1___2______3______ Bibl._____N=2____1.128__1.129__1.129____ 1.128______ 3____1.693__1.694__1.692 ____1.693______ 4____2.058__2.059__2.059____ 2.059______ 5____2.326__2.326__2.326____ 2.326_____ 10____3.078__3.077__3.078____ 3.078_____ 50____4.499__4.498__4.498____ 4.498____ 100____5.016__5.016__5.016____ 5.015__My values were obtained by a.sigma.Hoel´s data is well represented by a 4th polynomial in log´s. See below K0.Luis A. Afonso        REM "a.sigma"        CLS        PRINT        PRINT " Amplitude/sigma RATIO "        PRINT        INPUT " size (df) "; n        pi = 4 * ATN(1)        RANDOMIZE TIMER        ali = 1000000REM        FOR j = 1 TO aliREM          LOCATE 10, 50: PRINT USING "#######"; ali - j        max = -400: min = 400        FOR i = 1 TO n        a = RND        aa = SQR(-2 * LOG(a))        x = 0 + aa * 1 * COS(2 * pi * RND)        IF x < min THEN min = x        IF x > max THEN max = x        NEXT i        d = max - min        mean = mean + d / ali        NEXT j        PRINT USING "        #.###    "; mean        END        REM "K0"        CLS        DEFDBL A-Z        a = .00799        b = 1.77861        c = -.2549        d = 3.06241 * .01        e = -1.7097 * .001REM        FOR x = 2 TO 100        u = LOG(x)        y = a + b * u + c * u ^ 2 + d * u ^ 3 + e * u ^ 4        PRINT USING "### #.### "; x; y;        NEXT x        END
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