Question

D8 112 131 132 ८) b0) 10 (05 106 106

how do you calculate the q test for this question using the values provided?

Answer 1

Q test:

The Q test statistic is given by

$Q=\frac{gap}{range}$

Where gap is the absolute difference between the suspected outlier and the next number closest to it.If the Q>Qtable, then reject the questionable point from the data.

In order to find the gap and the range, we need to arrange the data in ascending order.

105 106 106 109 110 112 113 128 131 132

Now, the number 105 is the questionable number and let us test this.:

$Q=\frac{\left |105-106 \right |}{132-105}$

$Q=\frac{1}{27}$

$Q=0.037$. We have to compare this with the tabulated Q table to find the critical value. We can get such table from net.. The critical Q value for n=10(number of samples) and 90% confidence the value is 0.3492.

Since Q<Qcrit we conclude that the suspected value 105 is not an outlier. (Please note that only one value can be tested for outlier).

b.

	128
	112
	131
	132
	113
	109
	110
	105
	106
	106
Mean	115.2