Score your morning with Vroom's expectancy formula

The radiator in Tomás’s third-floor apartment in Duluth ticks twice and goes quiet. His phone, on the nightstand, says 6:30. He wants to run before work, he has no doubts about the benefits of running, and he lies there anyway. Three different beliefs could be keeping him down, and they call for three different fixes.

Victor Vroom set out the sorting scheme in Work and Motivation (1964), and the usual textbook form is Motivational Force = Expectancy x Instrumentality x Valence. The pull toward any action is the product of the three, so the quickest way to get out of bed is to score all three, find the lowest, and raise only that one. Expectancy is the belief that effort will produce the performance. Instrumentality is the belief that the performance will be followed by an outcome. Valence is how much you value that outcome. Instrumentality is the term other people can change for you: an app such as DontSnooze, which sends a random camera-roll photo to your friends if you fail to film yourself upright, makes staying down visibly cost something.

The three terms at 6:30 a.m.

Tomás is a hypothetical, and each term can explain his morning. Expectancy: can he do it? Standing up, yes. Running in minus ten with four hours of sleep, less sure. Instrumentality: if he gets up, does the run reliably happen, and if he stays down, does anything bad follow? Valence: does the run, or whatever it buys, look good to the half-asleep version of him?

Scoring your own morning

Do this once, on paper, tonight.

1. Define one exact action. “Both feet on the floor by 6:30.” Not “wake up earlier.”
2. Score expectancy, 1 to 10. How sure are you that you can do it, given the sleep you really get and what happened over the last two weeks?
3. Score instrumentality, 1 to 10. If you do it, how reliably does something you care about follow? If you do not, how reliably does something go wrong? A 2 means nothing changes either way.
4. Score valence, 1 to 10. How much do you want that outcome at 6:30 a.m., not at 9 p.m.? Rate the groggy version of you.
5. Multiply, then change only the lowest term. The maximum is 1,000. Make one change aimed at that term, hold it three mornings, rescore.

The numbers are self-ratings, so only compare you with you.

Why the lowest term comes first

The formula multiplies, so a small term drags everything. The numbers here are invented. Say Tomás scores expectancy 8, instrumentality 3, valence 6. That is 144. Raise his strongest term, expectancy, from 8 to 10 and he reaches 180. Raise the weakest, instrumentality, from 3 to 6 and he reaches 288, double the starting point. One extra point on expectancy adds 18 to the product; one extra point on instrumentality adds 48.

This runs against the usual advice, which is to find a bigger reason. That is a push on valence, and Tomás already scored valence at 6. His real gap is that nothing happens if he stays down, because the gym class he skips takes no attendance. His cheapest fix is a consequence. A friend who texts at 6:40 asking for a photo from the trailhead moves instrumentality without touching anything else. If your lowest term is expectancy, the repair is different: a lower bar (shoes on, front door open) or building evidence that you can do it. If valence is lowest, make the reward arrive in the first ten minutes, as in a rule that lets something you like pay for something you avoid.

Does the multiplication actually predict anything?

Treat it as a thinking tool, not a measuring instrument. Van Eerde and Thierry pooled the correlations from 77 studies of Vroom’s models (Journal of Applied Psychology, 1996, 81(5), 575-586), checking the whole model and each of its three components against five kinds of outcome: performance, effort, intention, preference and choice. All of that was about work. Nobody has tested the product of three self-ratings on getting out of bed.

The theory has critics too. Porter and Lawler (Managerial Attitudes and Performance, 1968) are usually named among those who found it too simple, and Vroom is reported to have agreed with some of the criticisms. Self-ratings at night are also unreliable guides to what a half-asleep brain will feel, so the score is a hypothesis you test, not a verdict. Early grogginess can mask a decent score, and how long sleep inertia really lasts varies by morning, which will make your expectancy rating move for reasons the formula does not capture.

Rescore after three mornings. If the product rose and you were still late, the lowest term has probably changed, and that is the next one to work on.