HP HP-11C

182 Section 10: Applications Programs
Keystrokes Display
90(B]113
108 (B]87
100(B]80
99 (B]54 10.0000
0(D) 1.7316 t
16.0000 df
Chi-Square Evaluation
This program calculates the value of the x? statistic for the
goodness of fit test by the equation:
" (0, — E)?
x1®= Z'(—lE——)— (df=n-1)
=1 l
where O; =observed frequency
E; = expected frequency.
If the expected values are equal,
20; i
E=E;= for all i,
n
then
) 2
X 9_ nLO,-
2 =" o
30, ’
Note: In order to apply the goodness of fit test to a set of
given data, combining some classes may be necessary to
ensure that each expected frequency is not too small (say,
not less than 5).
Reference:
Mathematical Statistics, J.E. Freund, Prentice Hall, 1962.