### Handout 6.2:
The relationship between accuracy, informativeness and scale of
measurement

Name Real weight Interval Ordinal Nominal
(Ratio)
Esther 90 100 100 (1) 3
Mary 100 110 110 (2) 1
Susan 130 140 120 (3) 2
Shari 180 190 130 (4) 5
Jim 360 370 140 (5) 4

With ratio data, we can accurately say that Jim weighs twice as much as
Shari.

With interval data, our scale is off so that we don't have a perfect zero (we
are weighing everything 10 pounds too heavy). The result is that we can't make
ratio statements. Note that with our slightly inaccurate scale, Jim does not
receive a weight that is twice as much as Shari's.

With ordinal data, we can say who is heavier than who, but we don't know how
much heavier they really are. We could get ordinal data if we just ranked
people in terms of their weights or if our scale was less accurate at higher
weights.

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