A total of 820 observations were generated by computer to follow the distribution
1/15 N(5, 1) + 1/15 N(10, 1) + ... + 1/15 N(75, 1)
where N(m
,s
) denotes a normal distribution with mean m
and standard deviation s
.
This example illustrates the maximum number of components (15) and the maximum number of grouping intervals (80) allowed by MIX.
Fitting Normal components
Proportions and their standard errors
.06182 .07450 .08009 .05827 .07729 .06501 .05915 .06334
.00848 .00935 .00972 .00872 .01004 .00905 .00850 .00915
>> .06035 .06017 .07606 .05842 .06707 .06676 .07169
>> .00916 .00945 .01025 .00858 .00893 .00890 .00909
Means and their standard errors
4.9579 10.0530 15.0635 19.9114 25.1480 30.2734 34.7899 40.0086
.1675 .1215 .1539 .1507 .2281 .1204 .1772 .1733
>> 44.6613 49.9631 54.8138 59.9862 64.9425 69.8967 75.0310
>> .2057 .2148 .1941 .1681 .1436 .1355 .1587
Sigmas and their standard errors
1.0996 .8279 1.0998 .8445 1.5004 .7111 1.0687 .9995
.1311 .1104 .1357 .1438 .2308 .1146 .1618 .1672
>> 1.1430 1.1364 1.1965 .9731 .9318 .8773 1.1193
>> .2081 .2181 .1904 .1598 .1288 .1216 .1245
Degrees of freedom = 80 - 1 + 0 - 0 - 44 - 0 = 35
Chi-squared = 23.2853 (P = .9350)
* WARNING * GOODNESS-OF-FIT TEST MAY BE INVALID; 4 EXPECTED COUNTS ARE < 1