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Lesson 7 of 9 · 20 min

Conjoint analysis: trade-offs and willingness to pay

Design conjoint studies, estimate part-worth utilities and attribute importance, and calculate willingness to pay with choice-based conjoint.

Customers rarely choose a product for one reason. A smartphone buyer weighs brand, storage, battery, warranty and price, and accepts less of one to get more of another. Conjoint analysis measures these trade-offs by asking people to evaluate complete product profiles, then decomposes their preferences into the value of each feature level.

Attributes and levels

A conjoint study describes products by attributes (brand, storage, warranty, price) with two to five levels each (Apex, Nova, Zenit; 64, 128, 256 GB). Choose attributes that matter to the decision and that customers understand, with realistic levels that span the range you might offer. Keep the number manageable: five to seven attributes is typical, because respondents simplify when profiles get too complex.

Rating-based conjoint

In traditional (rating-based) conjoint, respondents rate a set of profiles generated by a fractional factorial design, for example on a 0–10 scale. A regression with dummy-coded levels then estimates the part-worth utility of each level.

Try it in the tool

Estimate part-worths with rating-based conjoint

  1. Respondents rated smartphone profiles that combine brand, price, battery life and camera.
  2. Read the part-worth utilities and the attribute importance.
  3. Find the most preferred profile in the interpretation.

In the example, price is the most important attribute (34.5% of importance), followed by battery life (26.3%), brand (20.2%) and camera (19.0%). Attribute importance is the range of an attribute’s part-worths divided by the sum of all ranges: price ranges from +0.79 ($299) to −0.72 ($499), the widest spread. The most preferred profile combines Nova, $299, three days of battery and the 108 MP camera. Because part-worths are estimated per respondent in rating-based conjoint, you can also segment respondents by what they value.

Choice-based conjoint (CBC)

Rating profiles is unlike real shopping. In choice-based conjoint, respondents see several choice tasks, each with three or four alternative products (often plus a “none” option), and choose the one they would buy. This mimics real decisions, handles price better and is now the most common form of conjoint. The choices are analysed with a conditional (multinomial) logit model.

Try it in the tool

Estimate willingness to pay with choice-based conjoint

  1. The example has 1,200 choice sets with brand, storage, warranty and price.
  2. Read the conditional logit coefficients and the willingness-to-pay column.
  3. Try the market simulator, if shown, to predict shares for competing products.

Reading the CBC results

The model, estimated on 1,200 choice sets, is significant (LR χ²(6) = 501.2, p < .001; McFadden R² = .190, a good value for choice models). Coefficients are relative to the first level of each attribute: Nova adds 0.544 utility compared with Apex, 256 GB adds 0.917 compared with 64 GB, and a two-year warranty adds 0.481. Price enters as a numeric attribute with a coefficient of −0.0094 per currency unit.

Willingness to pay

Because price is in the model, any utility difference can be converted into money: WTP = utility difference ÷ |price coefficient|. One unit of utility is worth 1 / 0.0094 ≈ 106 currency units. So customers would pay about 57.79 more for Nova than for Apex, 97.37 more for 256 GB than for 64 GB, and 51.08 more for a two-year warranty. These are the numbers product managers love: they tell you whether a feature’s price premium is justified by what it costs to provide.

Attribute importance in this CBC is price 49.2%, storage 24.0%, brand 14.2% and warranty 12.6%. Note that importance depends on the level ranges you chose: a wider price range would make price look even more important. Always report the levels with the importances.

Market simulation

The real power of conjoint is simulation. Define the products in a market (yours and competitors’), compute each product’s total utility and convert the utilities into predicted shares with the logit formula. Then ask what-if questions: what happens to our share if we add a two-year warranty, or cut our price by 50? Simulated shares are preference shares, not market share forecasts; they ignore distribution, awareness and availability, so use them to compare scenarios.

Design tips

  • Use 8 to 15 choice tasks per respondent, with three or four alternatives each.
  • Generate a balanced, efficient design (survey platforms such as Qualtrics, Sawtooth or Conjoint.ly do this), and randomise the order of tasks.
  • Include a “none” option if not buying is a realistic choice.
  • Plan for at least 300 respondents for aggregate models, more for segment-level analysis.

Reporting

A choice-based conjoint study (1,200 choice sets) was analysed with a conditional logit model, LR χ²(6) = 501.2, p < .001, McFadden R² = .19. Price accounted for 49.2% of attribute importance, storage for 24.0%, brand for 14.2% and warranty for 12.6%. Respondents were willing to pay 97 more for 256 GB than for 64 GB storage, 58 more for the Nova brand than for Apex, and 51 more for a two-year warranty.

Key takeaways

  • Conjoint decomposes preferences for whole products into part-worth utilities of attribute levels.
  • Importance = range of an attribute’s part-worths ÷ sum of ranges, and it depends on the levels chosen.
  • CBC mimics real choices; with price as a numeric attribute it gives willingness to pay.
  • Use market simulations to compare scenarios, not to forecast exact market shares.

Check your understanding

Answer each question to see the explanation. Finishing the quiz marks this lesson as complete.

Q1How is attribute importance calculated in conjoint analysis?
Q2The price coefficient is −0.0094 per unit, and a feature adds 0.48 utility. What is the willingness to pay for the feature?
Q3Why is choice-based conjoint now preferred to rating-based conjoint?
Q4A market simulator predicts a 34% preference share for your product. How should you interpret it?