Dr.Stat

Het somteken houdt in dat je dit voor alle cellen in de tabel moet berekenen en de uitkomsten bij elkaar moet optellen.

Voor de gehele tabel ziet het er als volgt uit:

$O$	$E$	$O-E$	$(O-E{)}^2$	$\frac{(O-E{)}^2}{E}$
102	$\frac{330\times 250}{1000}=82.5$	$102-82.5=19.5$	$380.25$	$\frac{380.25}{82.5}=4.61$
45	$\frac{270\times 250}{1000}=67.5$	$45-67.5=-22.5$	$506.25$	$\frac{506.25}{67.5}=7.5$
83	$\frac{210\times 250}{1000}=52.5$	$82-52.5=30.5$	$930.25$	$\frac{930.25}{30.5}=17.7$
20	$\frac{190\times 250}{1000}=47.5$	$20-47.5=-27.5$	$756.25$	$\frac{756.25}{47.5}=15.9$
172	$\frac{330\times 500}{1000}=165$	$172-165=7$	$49$	$\frac{49}{165}=0.30$
128	$\frac{270\times 500}{1000}=135$	$128-135=-7$	$49$	$\frac{49}{135}=0.36$
92	$\frac{210\times 500}{1000}=105$	$92-105=-13$	$169$	$\frac{169}{105}=1.61$
108	$\frac{190\times 500}{1000}=95$	$108-95=13$	$169$	$\frac{169}{95}=1.78$
56	$\frac{330\times 250}{1000}=82.5$	$56-82.5=-26.5$	$702.25$	$\frac{702.25}{82.5}=8.51$
97	$\frac{270\times 250}{1000}=67.5$	$97-67.5=29.5$	$870.25$	$\frac{870.25}{67.5}=12.98$
35	$\frac{210\times 250}{1000}=52.5$	$35-52.5=-17.5$	$306.25$	$\frac{306.25}{52.5}=5.83$
62	$\frac{190\times 250}{1000}=47.5$	$62-47.5=14.5$	$210.25$	$\frac{210.25}{47.5}=4.43$

${\chi }^2=\sum \frac{(O-E{)}^2}{E}=81.42$