Using the following scale, “__very effective (+2) ___effective (+1) __neither effective nor ineffective (0) __ineffective (-1) __very ineffective (-2)” Drug A has an average from users of +1.2 and Drug B’s average is +0.8. It is inaccurate to conclude that Drug A is 50 percent more effective than Drug B. The reason is because this scale is a (an) _____ scale.

Question

Using the following scale, “__very effective (+2)   ___effective (+1)   __neither effective nor ineffective (0)   __ineffective (-1)   __very ineffective (-2)” Drug A has an average from users of +1.2 and Drug B’s average is +0.8. It is inaccurate to conclude that Drug A is 50 percent more effective than Drug B. The reason is because this scale is a (an) _____ scale.

BlackTom AI · Accepted Answer

Question restatement: The prompt presents a five-point scale with numeric labels from very ineffective to very effective, where Drug A averages +1.2 and Drug B averages +0.8. It then states that it is inaccurate to claim Drug A is 50 percent more effective than Drug B and asks you to identify the type of scale being used.
Option 1 - ratio: A ratio scale has a true zero and allows meaningful statements about ratios (e.g., twice as much). The given scale does not have a true zero point and uses fixed intervals with arbitrary units, so describing a ratio like 50% more is inappropriate. Therefore, ratio is not the correct classification.
Option 2 - nominal: Nominal scales assign categories without any order or magnitude (e.g., colors, labels). The scale in the problem clearly has order and magnitude (+2 to -2), so nominal is incorrect.
Option 3 - ordinal: An ordinal scale preserves order but not equal intervals between points. Here, the scale items are presented with explicit numeric values and equal intervals between points (e.g., the difference between +1 and +2 is the same as between +0 and +1), which goes beyond a pure ordinal interpretation. Thus, the scale cannot be simply described as ordinal.
Option 4 - interval: An interval scale has ordered categories with equal intervals and no true zero, which matches the described scale: values like +2, +1, 0, -1, -2 imply equal steps but do not imply a true zero that would allow meaningful ratio comparisons. The statement about a “50 percent more” conclusion relies on a ratio notion, which is inappropriate for an interval scale. Therefore, interval is the best fit.
Putting these assessments together, the reasoning shows that the scale aligns with an interval-type measurement rather than ratio, nominal, or purely ordinal. The key distinction is the presence of equal intervals and the absence of a true zero, which governs why a percentage-based comparison is invalid on this scale.

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