Validity is about whether the inference you draw from the score is accurate.
Ex: Scores meant to measure extraversion should line up with how outgoing the people who know them say they are.
A measure is not valid or invalid by itself. The same scores can support one inference accurately and another one poorly.
Reliable but Wrong
A score can come out the same every time and still measure the wrong thing.
Ex: A scale that says you weigh exactly 5.2 lbs every time you step on it is giving you very reliable scores. But those scores are also very invalid!
Reliability tells you how consistent the score is. Validity tells you how accurate it is. We want both. How do we get that?
Using More Than One Type of Measure
Each of the four types of measures has different strengths and weaknesses. Thus, using more than one type and seeing if the scores tell the same story is a good way to evaluate their validity.
Definition 2: the class average of your scores (the 16 of you that did it). This is an informant report measure.
Informant Report: Sixteen Informants Scoring One Person
The larger black circles are the class mean score for each item. The smaller grey dots are the scores for each student on each item.
What do you notice?
On average, the class rated me on the high end (above average) for almost every item. The ones with a rating below average were negatively worded items (so they still place the person above average on the trait). Why?
Reliability: Did You Agree With Each Other?
Reliability: How much did the 16 of you agree in your ratings? One way to check is to randomly split the class in half and see how well the two halves correlate with each other, which is what the figure above does. The closer to the line, the more agreement between the two halves.
The two halves of the class agree with each other at r = .85, a strong positive correlation. Overall, the class was fairly consistent.
But how much did you agree with me?
Did You Agree With Me? (On Average)
The line is basically horizontal, which means there was essentially no correlation/relationship between the class average and my own score across the 23 statements!
Why?
Did You Agree With Me? (per Item)
Do you notice anything about the items with the largest difference between your scores and mine?
Four of the six largest gaps are on statements you cannot observe well in a classroom: loves order and regularity, likes to visit new places, makes friends easily, and is a very private person.
That pattern does not hold across all 23 statements, though.
So the setting explains some of the largest gaps, but something else must explain the rest. What else could?
Social Desirability: How Favorably the Class Scored Me
You gave a 4 or 5 on 64% of your scores. I gave a 4 or 5 on only 35% of mine.
Social desirability is the tendency to answer in the way that makes a person look good rather than in the way that is most accurate. We defined it for self-report, and the same tendency applies to informants. I told you this was anonymous, but maybe a part of you still felt the need to rate me higher. ## Did You Agree With Me? (per Factor) {.sm}
Each factor score is the average of that factor’s statements, with the low-end statements flipped (aka, reverse-scored). (No neuroticism statements were included, so there are four factors here rather than five.)
Notice how spread out your ratings are for conscientiousness and agreeableness. You scored those items less consistently (reliably) than the other factor items.
In Sum: Why Did We Disagree?
Person AND Situation: you scored the version of me that exists in a classroom. My self-report averages across every situation I am in, which is what a trait is. How far apart the two land depends on how different the classroom is from the rest of my life.
Interpretation: perhaps we did not interpret the items the same way.
It depends on what you want to do with them! Validity is the accuracy of an inference drawn from a score, so the question is which inference: what I am like in this classroom, or what I am like in general.
What Could Make Either Set of Scores More or Less Valid?
Which set of scores is likely more valid about how I am as a teacher, and which is likely more valid about me in general?
Which set would a University find more valuable before hiring me?
Which set would a counselor find more valuable if I came to them for therapy?
Which statements would my mom score differently from all of you? Which would she score differently from me?
Did you score me favorably because I am your professor?
Social Desirability: How Favorably the Class Scored Me