間隔尺度の測定

Interval level data can be ordered like ordinal level data, but the key difference is that the differences between values are meaningful and measurable. For example, the difference between 30°C and 20°C equals 10 degrees, and this difference is the same as between 40°C and 30°C. Ordinal data only shows ranking without meaningful numerical differences between values.

Interval level data lacks a natural zero point because zero does not represent the absence of the measured property. For temperature, zero degrees Celsius does not mean there is no temperature; it is simply cold. Negative temperatures like −10°F exist and are colder than zero, demonstrating that zero is arbitrary rather than a true starting point.

No, ratios have no meaning in interval level measurement. For example, 80°C is not four times as hot as 20°C, even though 80 is mathematically four times 20. This is because the arbitrary zero point prevents meaningful ratio comparisons. Interval data can be used in calculations like addition and subtraction, but not for ratio-based comparisons.

Temperature measurement is the primary example of interval level data. Temperatures measured in degrees Celsius or Fahrenheit can be ordered from low to high, differences between values are meaningful, but zero degrees does not indicate the absence of temperature. Other examples include calendar years and standardized test scores.

Interval and ratio levels both have meaningful differences between values, but ratio level data has a natural zero point representing the absence of the property. For example, computer prices use ratio level measurement because zero dollars means no cost. Temperature uses interval level because zero degrees does not mean no temperature, making ratio level data suitable for meaningful ratio comparisons.

Interval level data can be used in addition and subtraction calculations. For instance, you can calculate that the temperature difference between 40°C and 20°C is 20 degrees, or find the average temperature across multiple days. However, multiplication and division for ratio comparisons are not meaningful because of the arbitrary zero point.

Interval level is the third of four measurement levels: nominal, ordinal, interval, and ratio. It represents data that is ordered with meaningful differences between values, but lacks a natural zero point. This positions it between ordinal level, which only ranks data, and ratio level, which includes both meaningful differences and a true zero point.