Measurement, Reliability, Validity

S15 · Chapter 8 · MC 451 Research Methods in Mass Media

Dr. Alex Leith

NOIR

  • Once a variable is operationalized, it has a level of measurement
  • That level determines what you are later allowed to do with it
  • Four levels, easy to remember as NOIR: nominal, ordinal, interval, ratio
  • The stream_log table spans all four, which makes it a convenient place to see them
  • Recall its columns: channel, title, game, viewers, date

Nominal

  • Categories with no inherent order
  • game is nominal: Fortnite, Just Chatting, Art, Hearthstone
  • No arithmetic relates them. Fortnite is not greater than Art.
  • channel is nominal, and so, raw, is title: one string is not ranked above another
  • You can count how often each category appears and name the most common one. You cannot average it.

Ordinal

  • Categories that do have an order, but with uneven distances between ranks
  • Bin stream titles by length into short, medium, and long: that bin is ordinal
  • Long outranks short, but the gap short-to-medium is not guaranteed to equal medium-to-long
  • You can rank cases and find the median
  • The mean is not strictly meaningful

Interval

  • Equal, constant distances between values, but the zero point is arbitrary
  • date is stored as a count of milliseconds since midnight on January 1, 1970
  • Converted to a timestamp it is interval: minute-to-minute distance is constant across the column
  • But 1970 does not mean “no time.” It is a convention.
  • You can subtract two timestamps to get a duration. You cannot say one timestamp is “twice” another.

Ratio

  • Equal intervals and a true zero that genuinely means none
  • viewers is ratio: zero viewers means nobody is watching
  • Because that zero is real, 28,000 viewers is genuinely twice the audience of 14,000
  • Ratio variables permit the full range of arithmetic
  • Most counts are ratio: viewers, message length in characters, number of messages

One column, three levels

Stream title, measured three ways:

  • Raw string: nominal
  • Character count: ratio, because a title can have zero characters
  • Binned short, medium, long: ordinal

Level of measurement is not a property the data hands you. It is a property of the decision you make.

Your turn

  • Take one variable from your Definitions Practice. What level did you land on?
  • Could you have operationalized it at a higher level? What would you have to record instead?
  • What would you lose if you binned it down to categories?

Three minutes with a neighbor. We will collect the ones that could be measured two ways.

Levels govern the statistics

  • A nominal variable can be tested for association with a chi-square test
  • A ratio variable can be averaged, correlated, and entered into the tests we run late in the term
  • Operationalize an interesting variable at nominal when it could have been ratio, and you have quietly narrowed what your study can conclude
  • You do that before coding a single case, which is why this decision comes now

Two kinds of variable

  • Some variables arrive ready-made: viewers is already a number, game is already a category
  • For those, the work is classification: pick the level, decide raw or transformed, move on
  • Others do not exist until you build them: message target is not a column in chat_log
  • Nothing in the dataset records whether a message was aimed at the streamer or the room
  • That variable exists only after a human coder reads each message. For it, operationalization is most of the work.

Reliability

  • Reliability is consistency: the same result under the same conditions
  • A scale reading 150, then 162, then 147 as you step on and off is unreliable, and its readings are worthless whatever you actually weigh
  • For content analysis the form that matters is inter-coder reliability
  • Two trained coders, same messages, independently: do they agree?
  • If they do not, the codebook is not yet measuring anything stable, and no analysis downstream repairs that

Correcting for chance

  • Inter-coder agreement is quantified with statistics that correct for the agreement two coders would reach by chance alone
  • Cohen’s kappa and Krippendorff’s alpha are the two you will meet
  • Raw percent agreement flatters you, especially when one category is common
  • We cover the statistics and how to act on them when we pilot the codebook
  • For now the point is conceptual: a codebook’s job is to make independent coders agree

Validity

  • Validity is accuracy: does the measure capture the thing it claims to capture?
  • Face validity: does it look, on inspection, like it assesses the intended concept?
  • Content validity: does it cover all of the concept, not just a convenient slice?
  • Construct validity: the most demanding, does it behave the way theory says it should, relating to other variables as predicted?

They are independent

  • A scale calibrated ten pounds light is perfectly reliable and perfectly invalid: same answer every time, wrong every time
  • The reverse also happens: accurate on average, so inconsistent that any single reading is unusable
  • Figure 8.2 draws this as four targets, from tight-on-centre to scattered-and-off-centre
  • Do not let a consistent number persuade you it is a correct one

The principle to hold onto

  • Reliability is necessary but not sufficient for validity
  • A measure that is inconsistent cannot be accurately capturing anything, so unreliability rules validity out
  • But a measure can be perfectly consistent and still measure the wrong thing
  • You need both, and you get reliability first
  • A codebook is the instrument that produces it

Before next time

  • Definitions Practice is due this week. Include the level of measurement for every variable.
  • Bring to next session: your three variables, their categories, and your edge-case log
  • We meet as a studio: you will leave with a draft codebook, not notes about codebooks
  • Re-read the model codebook in Chapter 8 so you know the shape of what you are building
  • Have your field notes open and searchable. Every decision rule comes from them.