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Ratio e'g', lengths, weights, volumes, capacities, rates:

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Ratio (e.g., lengths, weights, volumes, capacities, rates): Different categories ... Absolute Zero (physical significance, the zero actually signifies something) (e. ... – PowerPoint PPT presentation

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Title: Ratio e'g', lengths, weights, volumes, capacities, rates:


1
What are the Levels of Measurement?
  • Ratio (e.g., lengths, weights, volumes,
    capacities, rates)
  • Different categories
  • Rankable categories
  • Constant equal-sized Intervals
  • Absolute Zero (physical significance, the zero
    actually signifies something) (e.g., temperature
    in Kelvin, time)
  • Interval (temperature on Celsius and Fahrenheit,
    age)
  • Different categories
  • Rankable categories
  • Constant equal-sized Intervals (can be expressed
    numerically)
  • Ordinal (e.g.., dominance hierarchy)
  • Different categories
  • Categories are rankable
  • Nominal (a.k.a. attributes)
  • Different categories (e.g.., sex, species,
    phylum, location)

2
What are the Levels of Measurement?
Ratio
  • (e.g., income, weights, volumes,
    capacities, rates)
  • Different categories
  • Rankable categories
  • Constant equal-sized Intervals
  • Absolute Zero (physical significance) (e.g.,
    temperature in Kelvin, time)
  • construct a meaningful fraction (or ratio) with a
    ratio variable

Interval
  • (temperature on Celsius and
    Fahrenheit)
  • Different categories
  • Rankable categories
  • Constant equal-sized Intervals
  • can be expressed numerically
  • the distance between attributes does have meaning

Ordinal
  • (e.g.., education attainment, class
    status)
  • Different Categories
  • Categories are rankable (attributes can be
    rank-ordered)
  • Intervals are NOT equal-sized
  • But is distance from 0 to 1 same as 3 to 4?
  • Distances between attributes do not have any
    meaning.
  • We don't assume the value of 2 means that
    sophomores are twice something than freshman are.

Nominal
  • (e.g.., sex, ethnicity, agency,
    location)
  • Different Categories
  • numerical values just "name" the attribute
    uniquely
  • NOT Rankable
  • We don't assume that higher values mean "more" of
    something and lower numbers signify "less".

3
Presentation of Entire Distribution of a Variable
4
Central Tendency and Dispersion
5
Central Tendency and Dispersion
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