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Levels of Measurement definitions

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  • Nominal Level
    Categories, names, or labels without inherent order; only qualitative data, no meaningful calculations possible.
  • Ordinal Level
    Ordered data where ranking is clear, but differences between values are inconsistent or not meaningful.
  • Interval Level
    Quantitative data with meaningful differences; lacks a true zero, making ratios and multiplication/division meaningless.
  • Ratio Level
    Quantitative data with a true zero; allows meaningful differences, ratios, and arithmetic operations like multiplication and division.
  • Qualitative Data
    Non-numeric information classified by categories or labels, often used in nominal and some ordinal datasets.
  • Quantitative Data
    Numeric information suitable for calculations; found in interval and ratio levels, and sometimes ordinal datasets.
  • True Zero
    A starting point indicating absence of the measured attribute, essential for ratio level measurements.
  • Category
    A distinct group or label used to classify qualitative data, especially in nominal datasets.
  • Order
    A sequence or ranking among data points, characteristic of ordinal, interval, and ratio levels.
  • Difference
    A meaningful subtraction between values, valid in interval and ratio levels but not in nominal or ordinal.
  • Ratio
    A comparison of two quantities by division, meaningful only when a true zero exists in the dataset.
  • Arithmetic Operation
    Mathematical processes such as addition, subtraction, multiplication, and division, applicable in ratio level data.
  • Ranking
    Arrangement of data points in a sequence based on value or preference, central to ordinal level measurement.
  • Descriptive Statistics
    Methods for summarizing and analyzing data, with techniques chosen based on the level of measurement.
  • Measure of Central Tendency
    Statistical values like mean, median, or mode, whose calculation depends on the data's level of measurement.