Choicery Methodology Series

CBC Traditional: Choice-Based Conjoint

The manual of the CBC editor: every step and control, recommended study sizes from the literature, the design diagnostics, and how the choices become part-worth utilities. Worked example: the electric pizza oven CBC of the Pizza (Example) study.

Choicery Methodology Reference | October 2026

Contents

Part I, Practical Guide
  1. What Is Traditional CBC?
  2. When to Use It (and When Not)
  3. Opening the Editor
  4. General
  5. Attributes and the No-Choice Option
  6. Fixed Tasks
  7. Product Images
  8. Level Images
  9. Prohibitions
  10. Templates
  11. Generate
  12. Design Diagnostics
  13. Preview and the Respondent View
  14. How Large Should Your Study Be?
  15. Estimating Utilities
  16. Interpreting the Results
  17. Best Practices & Pitfalls
Part II, Theoretical Background
  1. Key Definitions
  2. The Random Utility Model & Logit
  3. Hierarchical Bayes Estimation
  4. Effects Coding, Zero-Centered Diffs & Importances
  5. Experimental Design
  6. References
Part I

Practical Guide

How to build, field, and analyse a Choice-Based Conjoint study in Choicery, step by step through the editor.

1. What Is Traditional CBC?

Choice-Based Conjoint (CBC) shows respondents small sets of product profiles and asks one natural question: which one would you choose? Each profile (concept) is a bundle of attribute levels. By repeating this choice across many designed sets and many respondents, Choicery works out how much each level contributes to choice. These contributions are the part-worth utilities.

A choice among alternatives mirrors what buyers do in a shop or on a website. Because respondents never state a number, the method also avoids scale-use differences (some people rate everything high, others everything low).

The pizza oven CBC used throughout this guide

The Pizza (Example) study contains a CBC task cbc_pizza_oven about an electric pizza oven with five attributes: Maximum temperature (350 °C, 420 °C, 450 °C), Controls (Manual dial, Digital display with programmes, LED touch screen), Included accessories (Stone + pizza peel, Stone + pizza peel + recipe book, Pizza stone only), Customer rating (3.5 ★, 3.9 ★, 4.3 ★, 4.7 ★) and Price ($69, $139, $209, $279). Each task shows three ovens plus a "None of these" option.

What you get out of it

2. When to Use It (and When Not)

Traditional CBC is the default when respondents choose one product from a handful of alternatives. It works best with a moderate number of attributes (see section 14).

SituationUse
Standard "pick one of several products"CBC Traditional
You also need "would you buy it at all?" after a forced choiceDR-CBC (dual response)
You want extra information per task (best and worst)Best-Worst CBC
A realistic shop, shelf or e-commerce presentation mattersCBC Shop
Many single items (features, messages), no product profilesMaxDiff

All of these share the same statistical engine. They differ in what the respondent does in each task and in how the answers are stacked before estimation. Each has its own guide.

3. Opening the Editor

From the Survey Flow

1

New task. In the Survey Flow, open the Add Item sidebar (on wide screens it is always visible; on smaller screens use the Add Item button in the utility bar) and choose CBC Traditional in the Conjoint section. The editor opens with a new, empty task.

2

Existing task. On the task's card in the flow, click Edit (tooltip "Configure"). In the list view, click the row or its gear link.

The browser tab reads "CBC Design Configuration", and the left rail carries the badge "CBC Traditional". On a Free account a project can hold at most two conjoint tasks.

The left rail

GroupSteps
RequiredGeneral, Attributes
Optional (collapsible)Fixed Tasks, Product Images, Level Images, Prohibitions, Templates
FinishGenerate, Preview
Help CBC Guide: opens this guide in a new browser tab, so unsaved edits in the editor stay where they are.
Table 1. The steps of the CBC editor. The sections below follow this order.

What saves automatically and what needs a click

StepHow changes are stored
GeneralClick Save changes in the toolbar at the top of the step. The status next to it reads "Saved" once everything is stored.
AttributesAdding, editing, deleting, hiding and reordering attributes are stored at once.
No-Choice OptionIts own button Save no-choice options.
Fixed Tasks, Product Images, ProhibitionsStored when you confirm the dialog (Save Fixed Task, Add Rule, Add). Fixed-task positions need Apply Positions on the Generate step.
Level ImagesStored when you pick or remove an image.
TemplatesClick Save or Apply.
GenerateThe generated design is stored as soon as generation finishes.
Table 2. Saving in the CBC editor.

The two locks

The design and the answers must stay aligned, so the editor locks structure in two stages.

Above all steps the editor can also show "Design Warning: ..." when the stored design no longer matches the configuration, and "Regeneration required. This generated design conflicts with active prohibitions and cannot be published until it is regenerated."

4. General

The General step holds the task name, the question and the display settings of the choice task.

The General step of the CBC editor with Task Name, Question / Instruction, Footer, Layout Style, Attribute Display, Image Options and Option Header
Figure 1. The General step of the pizza oven task.
No.ControlWhat it does
1Task Name *Internal name of the task and the column prefix in your data (cbc_pizza_oven in the example). Up to 50 characters, start with a letter, then letters, numbers, underscores and hyphens.
2Question / Instruction *Rich text shown above every choice task. The default reads "If you were buying a new product and these were the only alternatives available, which one would you choose?". Up to 10,000 characters and 10 inline images.
3FooterOptional rich text below the task, for example a note on delivery terms. Up to 10,000 characters.
4Layout StyleHow the concepts are drawn: Compact Grid (attributes left, levels in columns), Stacked (name above each value) or Inline (labels inline with values, the default for a new task). Stacked and Inline work better on phones. The Pizza task uses Compact Grid.
5Attribute DisplayCapitalize attribute names (UPPERCASE), off by default.
6Image OptionsEnable image zoom on click lets respondents enlarge images. Show labels under images prints the level text under a level image (only applies to level images). Both off by default.
7Option HeaderShow option header (on by default) prints a label above each concept, such as "Option 1", "Option 2". The text field sets the word ("Option" by default, up to 100 characters) and is disabled while the switch is off.

Click Save changes at the top right when you are done.

5. Attributes and the No-Choice Option

Attributes

The Attributes step with the lock notice, the Add Attribute button and five attribute cards
Figure 2. The Attributes step of the pizza oven task. The design is generated, so the attributes are locked.
No.ControlWhat it does
1Attributes are locked.Shown while a generated design exists (section 3). The orange button deletes the design so you can edit attributes again; all other settings are kept.
2 Add AttributeOpens the Add Attribute dialog (Figure 3).
3Drag handleDrag a card to change the order of the attributes in the task.
4Hide / ShowHidden attributes stay part of the design and are still estimated, but they are not displayed in the survey. The card then carries a "Hidden" badge. Use it when an image already shows the attribute.
5 EditOpens the Edit Attribute dialog. Here the name and each level are small rich-text editors (without images), levels can be reordered, and Shift+Enter adds a line break inside a level. Confirm with Save changes.
6 DeleteDeletes the attribute after the confirmation "Delete attribute "<name>"? This cannot be undone."
The Add Attribute dialog with Attribute Name, Levels and Add Level
Figure 3. The Add Attribute dialog.
No.ControlWhat it does
1Attribute NameFor example "Maximum temperature". Up to 50 characters.
2LevelsOne row per level, with a badge counting them. Drag the dotted handle to reorder, use the bin to delete a row. Up to 50 characters per level. Press Enter in a level to jump to the next one.
3 Add LevelAdds an empty level row. At least 2 levels are required ("Please provide an attribute name and at least 2 levels").

Rules the server checks when you save:

No-Choice Option

Below the attribute cards sits the No-Choice Option. When it is on, every task gets an extra "None of these" choice next to the concepts.

The No-Choice Option panel with the switch, Button Text, Position, Expected None Share and the save button
Figure 4. The No-Choice Option of the pizza oven task (greyed out because the design is generated).
No.ControlWhat it does
1Enable "None of these" OptionAdds the None choice to every task. On by default for a new CBC task.
2Button TextThe label of the None choice, "None of these" by default (up to 200 characters).
3PositionBelow (default), Left or Right of the concepts. Left and Right only apply when all options fit side by side; otherwise, for example on phones, None appears below the options. The Pizza task uses Right.
4Expected None Share (Optional)Your guess of the None share, 0 to 1 (0 to 100 % is accepted too). It is metadata for the design diagnostics only and does not change the generated tasks.
5Save no-choice optionsStores these settings. They are not saved with the General toolbar.
Should you keep the None option?

Usually yes. A None option makes the task more realistic and avoids forcing a choice that can exaggerate willingness to pay (Orme & Chrzan, 2017, ch. 5). Adding it also changes how people decide, so include it when it is feasible and salient (Rao, 2026, pp. 494-495). Expect a None share of about 5 to 20 % (Orme, 2020, p. 111), and note that it is unstable: it rises in later tasks and with harder tasks (Orme & Chrzan, 2017, ch. 5). Switch it off only when a forced choice is the right model. When "would you buy at all?" is the core question, a dual-response None (DR-CBC) keeps the full choice information (Orme & Chrzan, 2017, ch. 5; Hung, Liu, Brazell & Allenby, 2025).

6. Fixed Tasks

A fixed task shows the same concepts to every respondent. Choicery leaves fixed tasks out of estimation and uses them as holdouts to measure how well the model predicts (hit rates).

The Fixed Tasks step with the Applied badge, the Add button and two fixed task cards
Figure 5. The Fixed Tasks step of the pizza oven task with two fixed tasks of four alternatives each.
No.ControlWhat it does
1Fixed Tasks + badge"Applied (N rows)" when the fixed tasks are placed in the generated design (1552 rows in the example), "Draft (not applied)" when they are defined but not yet placed.
2 AddOpens the Create Fixed Task dialog (Figure 6). At most 20 fixed tasks per task.
3Show N alternativesExpands the card to show the alternatives. The pencil edits, the bin deletes the fixed task.

Without fixed tasks the step warns: "No fixed tasks defined. Without fixed tasks, you cannot calculate predictive validity metrics (hit rates) for your CBC study." If you later delete or rename levels, an affected card turns red with " - incomplete" and lists the issues; fix or delete it before applying positions.

The Create Fixed Task dialog with Number of Alternatives, Randomize All and one level selector per attribute and alternative
Figure 6. The Create Fixed Task dialog.
No.ControlWhat it does
1Number of Alternatives2 to 9, default 3. A fixed task may show a different number of alternatives than the random tasks (the Pizza fixed tasks show 4).
2 Randomize AllFills every selector with a random level. The shuffle icon on an alternative randomizes only that alternative.
3Save Fixed TaskDisabled until every attribute of every alternative has a level; the footer counts the missing ones ("15 level(s) not selected").

Positions are set after generation on the Generate step (section 11).

How many holdouts?

"Just one fixed holdout choice task is not enough" (Orme, 2020, pp. 191-192). A simulation needed 7 in-sample holdouts to tell the right model from the wrong one for medium effects (Orme & Chrzan, 2017, ch. 6). Spread them among the design tasks instead of placing them all at the start or the end, and avoid holdouts with one dominant alternative (Orme & Chrzan, 2017, ch. 6).

7. Product Images

Product images are rules: when a concept contains a given combination of levels, Choicery shows an image (or a text block) above its attributes. This is how a concept gets a photo of the whole product.

The Conditional Product Images list of the CBC task with nine oven rules, each with conditions, a thumbnail, the image file and edit, toggle and delete icons
Figure 7. The nine product image rules of the Pizza oven CBC task: each combination of Controls and Included accessories gets its own oven photo.
No.ControlWhat it does
1Conditional Product ImagesThe list of rules. Each row shows the rule name, its conditions, the image file, and icons to edit, switch the rule on or off, and delete it ("Delete Display Rule").
2 Add RuleOpens the Add Product Image dialog (Figure 8). At most 30 rules per task.
The Add Product Image dialog with Rule Name, Trigger Conditions and Display Content
Figure 8. The Add Product Image dialog.
No.ControlWhat it does
1Rule NameUp to 80 characters, for example oven_manual.
2Trigger ConditionsPick an attribute and a level, then Add. At least one condition. Conditions form groups with an AND/OR switch inside each group; New condition group adds another group, and groups are combined with AND. Preview shows the resulting expression.
3Display ContentContent Type Image (pick one with Choose Image... from the project library) or Text (up to 1,000 characters). The content appears at the top of the concept.

Pizza example

The rule oven_manual has the conditions Controls = Manual dial AND Included accessories = Pizza stone only and shows the image 1_oven_manual.png. Nine rules cover the 3 x 3 combinations of Controls and Included accessories, so every concept gets a matching oven photo.

8. Level Images

A level image replaces the text of a single level in the survey, for example a colour swatch instead of the word "Red".

The Assign Images to Levels card with one panel per attribute and an Add button per level
Figure 9. The Level Images step. The Pizza task uses product images instead, so no level has an image (0/3, 0/4 images).
No.ControlWhat it does
1 LibraryOpens the project image library, where you upload and manage images.
2 AddAssigns an image to this level. Once a level has an image you can change or remove it (confirmation "Delete Image"). The badge on each attribute counts its images.

Once an attribute has at least one image, two more options appear for it: Hide attribute name and Images use the full card width. Image files may be PNG, JPG, JPEG, GIF or WebP, up to 5 MB and 4100 x 4100 px each (GIF up to 2 MB and 1024 px). A project holds up to 100 images and 200 MB; the account limit is 500 MB of images.

9. Prohibitions

A prohibition forbids a combination of levels inside one concept, so the design never shows it.

The Prohibitions step with the Add Prohibition button and the empty state
Figure 10. The Prohibitions step. The Pizza task has no prohibitions.
No.ControlWhat it does
1 Add ProhibitionOpens the Add Prohibition dialog (Figure 11). Disabled when there are no attributes or while a generated design exists ("Prohibitions are locked because a generated design exists. Delete the generated design on the Generate tab before changing prohibitions.").
The Add Prohibition dialog with Name and Conditions
Figure 11. The Add Prohibition dialog.
No.ControlWhat it does
1NameRequired ("Please enter a name"), for example "No touch screen at $69".
2ConditionsPick an attribute and a level and click +. At least 2 conditions; each attribute only once per prohibition ("To forbid multiple levels, create separate prohibitions"). A prohibition may span more than two attributes. Confirm with Add.

Each prohibition can be switched off, edited or deleted. A task holds at most 50. After a change the editor reports side effects, for example "N fixed task(s) were removed from assigned positions" or "The generated design must be regenerated (N violating alternatives)". When the rules leave too few possible profiles, generation stops with an error instead of producing a broken design.

Use prohibitions sparingly

Too many prohibitions is "a common mistake" and can be "detrimental and sometimes fatal" (Orme, 2020, pp. 53-54). They almost always lower efficiency; in one example, price prohibitions cost at least 30 % (Orme & Chrzan, 2017, ch. 3). Alternatives are a combined attribute (for example "Controls and accessories" as one attribute) or conditional pricing. Compare the Per-Level SE Proxies with and without the prohibition before you keep it.

10. Templates

The Templates step with Save as Template and Available Templates
Figure 12. The Templates step.
No.ControlWhat it does
1Save as TemplateTemplate name (required), Description (optional), Save. Disabled with "Define attributes first to save a template." while the task has no attributes.
2Available TemplatesYour templates with "N attr, M lvl" and badges (Images, Prohibitions, Cond. Display), a count and storage summary, and a refresh icon. Per template: Apply, rename, delete.

A template stores the whole configuration: attributes and levels, hidden attributes, level images (copied), prohibitions, product image rules, the General settings (question, footer, display settings), the No-Choice settings and the fixed tasks. Templates can be applied across CBC, DR-CBC, BW-CBC and CBC Shop. Applying asks "This will replace your current attributes, images, prohibitions, and product images." and in fact replaces all of the stored parts. It is refused while a generated design exists ("Delete the generated design before applying a template.").

11. Generate

The Generate step builds the experimental design: for every version, the list of tasks and the levels of every concept.

Before generation

The Generate step before generation with Versions, Tasks, Concepts, Method and the Generate Design button
Figure 13. The Generate step before a design exists, with the default values.
No.ControlWhat it does
1VersionsNumber of different questionnaires (blocks). Each respondent gets one version; when there are more respondents than versions, versions are reused. 1 to 1,000, default 200.
2TasksNumber of random choice tasks per respondent. Fixed tasks are added on top (10 random + 2 fixed = 12 screens in the Pizza task). 1 to 30, default 10. Free plan: at most 6 tasks including active fixed tasks.
3ConceptsNumber of alternatives per task, without the None option. 2 to 9, default 3. Free plan: at most 3.
4MethodBalanced Overlap (default, "recommended"): level and pair balancing with a moderate share of repeated levels within a task. D-Optimal: a coordinate-exchange search that minimises the D-error of a main-effects logit with zero priors; slower. Random: simple random sampling without optimization.
5Generate DesignStarts generation. A progress panel with Cancel appears; generation stops after at most 300 seconds.

There is no seed field: every run draws a new random seed, so generating again gives a different design. The editor warns when Concepts exceed the levels of an attribute ("Repeated levels are unavoidable with N alternatives for X (k levels)"). Server checks: "Number of versions must be between 1 and 1000", "Number of tasks must be between 1 and 30", "Number of alternatives must be between 2 and 9", and on the Free plan "<Plan> allows N choice tasks per respondent, fixed tasks included."

After generation

The Generate step after generation with the status bar, Show Design Diagnostics, Generate Design, the delete button and Fixed Task Positions
Figure 14. The Generate step of the pizza oven task after generation: 194 versions, 10 random tasks plus 2 fixed, 3 concepts, Balanced Overlap.
No.ControlWhat it does
1Show Design DiagnosticsOpens the diagnostics (section 12).
2Generate DesignGenerates again. Asks "Replace existing design?" first, because the new design replaces all choice tasks and statistics. Blocked once responses exist.
3 Delete designDeletes the generated design and unlocks attributes and prohibitions. Disabled with "Design locked: responses already collected. Delete all responses to unlock." when responses exist.
4Fixed Task PositionsOne card per fixed task with a Pos: selector from 1 to the total number of tasks. Position 1 is the first task shown; position 2 comes after the first random task, and so on. Each position may be used once.
5Apply PositionsInserts the fixed tasks at the chosen positions in every version. Until then the hint reads "No positions assigned yet."
6Remove from DesignTakes all fixed tasks out of the design. Their definitions stay on the Fixed Tasks step.

The green status bar summarises the design ("194 Versions", "10 Random Tasks + 2 Fixed", "3 Concepts", the method and the date). Its two buttons download the design report and the design CSV. While responses exist, a notice says how many were collected and that a new design is blocked until they are permanently deleted.

How many versions?

More versions are "bigger is better" in principle, but about 10 to 12 good versions capture most of the value, and very large numbers bring little extra (Orme & Chrzan, 2017, ch. 3). The default of 200 is safe. HB needs a good design within each version, which Balanced Overlap provides.

12. Design Diagnostics

The expanded Design Diagnostics of the pizza oven task with five tiles, the status band and seven collapsible detail sections
Figure 15. The Design Diagnostics of the pizza oven task: 90 % design efficiency, 1,940 choice sets, 100 % independence and balance, 42.3 % repeated attribute levels.
ElementWhat it showsWhat to do
Design EfficiencyHow precisely the design estimates the level effects, compared with Choicery's balanced reference design (100 % = the reference). The status band below names the result: Excellent (at least 98 %), Very high (95 to below 98 %), High (90 to below 95 %), Good (80 to below 90 %), or "Low design efficiency - review recommended" (below 80 %). "Not estimable" means the main-effects model cannot be estimated from this design.Below 80 %: check prohibitions, raise the number of tasks or versions, or try another method.
Choice SetsNumber of random tasks across all versions (194 x 10 = 1,940).Information only.
IndependenceHow independently the attributes vary. Higher makes the separate effects easier to estimate.Low values usually come from prohibitions.
BalanceHow evenly the levels appear (100 % = all equally often), random tasks only.Low values point to prohibitions or very few versions.
Repeated Attribute LevelsShare of attribute comparisons in which two or more concepts show the same level, plus the share of tasks with at least one repeat. Lower is generally better for main effects; Balanced Overlap keeps a moderate amount on purpose.With 3 concepts and 3-level attributes some repeats are expected. Very high values: check the method.
Table 3. The tiles of the Design Diagnostics.

Further lines and sections:

Modest overlap is intended: overlap designs usually give more precise main effects for real respondents than minimal-overlap designs (Orme, 2020, p. 110; Orme & Chrzan, 2017, ch. 3), while textbooks on statistical efficiency favour minimal overlap (Rao, 2026, pp. 174-176). Prohibitions and diagnostics remain the place to check a design before fielding.

13. Preview and the Respondent View

The Preview step showing task 1 of 12 of design version 1 with four oven concepts in the Compact Grid layout
Figure 16. The Preview step: task 1 of 12 of design version 1. Task 1 is a fixed task with four alternatives (Fixed 2 is placed at position 1).
No.ControlWhat it does
1Design versionPicks the version to preview; the button next to it reloads. Previous and Next page through the tasks.

Before a design exists the step shows "Example Preview" with example tasks, so you can judge the layout early. A stale design shows "This preview uses a design that conflicts with active prohibitions. Regenerate it before relying on the preview."

In the survey, each task appears under your question, with the option headers if they are switched on. The respondent selects a concept by clicking its card, which is then outlined; there is no check mark and no separate select button. The None option appears at its chosen position. The back button is disabled on CBC pages, so earlier tasks cannot be revised. Each shown level is recorded; the chosen concept is the outcome and the other concepts are what it beat.

14. How Large Should Your Study Be?

The editor accepts up to 20 attributes with 20 levels each, 30 tasks and 9 concepts. These are technical limits, not recommendations. The literature recommends far smaller studies.

SettingRecommendationChoicery limitSources
AttributesAbout 6 to 8 at most in full-profile CBC. Above that, respondents simplify.20 (Free plan 4)Orme (2020, pp. 49-50)
Levels per attribute2 to 5; about 5 at most for price; keep the counts balanced across attributes.2 to 20 (Free plan 4)Orme (2020, pp. 52-53); Rao (2026, pp. 74-75)
Tasks per respondent8 to 12; about 12 for individual (HB) utilities; more than about 15 no longer helps.1 to 30, default 10 (Free plan 6 incl. fixed)Orme (2020, p. 109); Orme & Chrzan (2017, ch. 18); Goeken et al. (2024, p. 150)
Concepts per task3 to 5. With 4 or more, respondents in involving categories screen down to about 2.2 to 9, default 3 (Free plan 3)Orme (2020, pp. 47, 62); Rao (2026, p. 234); Orme & Chrzan (2017, ch. 4)
Sample size (rule)n x t x a / c ≥ 500, better 1,000 (n respondents, t tasks, a concepts without None, c the largest number of levels of any attribute).noneOrme (2020, p. 64); Orme & Chrzan (2017, ch. 8)
Sample size (minimum)At least 300 respondents, or 200 per subgroup you report, whichever is greater. Plan to discard 10 to 30 % bad respondents.noneOrme & Chrzan (2017, ch. 8); Orme (2020, pp. 65, 110-111)
None optionInclude when feasible; expect about 5 to 20 % None; the share is unstable.on/offOrme (2020, p. 111); Orme & Chrzan (2017, ch. 5); Rao (2026, pp. 494-495)
Holdout (fixed) tasksMore than one; a simulation needed 7 in-sample holdouts for medium effects.up to 20Orme (2020, pp. 191-192); Orme & Chrzan (2017, ch. 6)
VersionsAbout 10 to 12 good versions capture most of the value.1 to 1,000, default 200Orme & Chrzan (2017, ch. 3)
ProhibitionsSparingly or not at all.up to 50Orme (2020, pp. 53-54); Orme & Chrzan (2017, ch. 3)
Table 4. Recommended values and the Choicery limits. Page numbers refer to the editions in the references.

Pizza example: the sample-size rule

The pizza oven task has t = 10 random tasks, a = 3 concepts and c = 4 (Customer rating and Price have 4 levels). The rule gives n ≥ 500 x 4 / (10 x 3) = 67 respondents, or 134 for the stricter 1,000. The minimum of 300 respondents is therefore the binding value, and 200 per subgroup if you report subgroups.

n x t x a / c >= 500 n >= 500 x 4 / (10 x 3) = 66.7, so 67 n >= 1,000 x 4 / (10 x 3) = 133.3, so 134 Minimum: max(300, 200 per reported subgroup)

Where the sources disagree

Further evidence worth knowing

15. Estimating Utilities

Once responses are collected, open Conjoint Analysis. The tabs across the top offer Preference Analysis (HB), AI-Driven Profile Analysis, Latent Class and Interaction Effects. Preference Analysis (HB) is the standard and the input the Market Simulator needs. It follows three steps: 1 Estimation, 2 Results, 3 Export. Fixed tasks are left out of estimation automatically.

The Estimation step with the analysis type tabs, the workflow strip, the run selector and the Preference Estimation (HB) card
Figure 17. The Estimation step for the pizza oven task (N = 690, 10 of 10 tasks): Run Name, Burn-in and Draws/Chain set to 5,000 / 5,000 (the defaults are now 10,000 / 10,000), Variable Coding, the In-App / Create Package switch and the Covariates panel.

Give the run a name, keep the defaults for a first run, and click Run. Price can be coded as a linear attribute in Variable Coding. Every setting, the In-App and Create Package modes, covariates and the convergence diagnostics are explained in the Preference Analysis (HB) guide.

TabWhat it gives youReach for it when
Preference Analysis (HB)Part-worth utilities for every individual respondentYour default, and the input market simulation needs
AI-Driven Profile AnalysisNeural-network utilities that capture nonlinearities and profile effectsYou suspect complex or profile-driven heterogeneity
Latent ClassA handful of distinct preference segmentsYou want to describe the market as discrete groups
Interaction EffectsWhich pairs of attributes interact instead of just adding upYou want to test for attribute interactions
Table 5. The four analysis tabs in Conjoint Analysis, each with its own guide.

16. Interpreting the Results

The Results step for the pizza oven task with the summary bar, Attribute Importance and Average Utilities including the None Option card
Figure 18. The Results step of run CBC_Run_2 of the pizza oven task (30,000 burn-in, 30,000 draws per chain, N = 690): summary bar, Attribute Importance and Average Utilities (zero-centered) with the None Option card.

Convergence first

The summary bar shows N, the tasks used, the active run, R-hat (max), ESS (min), the Fitted RLH and the acceptance rate. R-hat should be at or below 1.10 and ESS well above 100; the RLH should clearly exceed chance (1 divided by the number of choices). The run in Figure 18 used 30,000 burn-in iterations and 30,000 draws per chain. Its R-hat (max) of 1.097 is just below 1.10, but its ESS (min) of 33 is still far below 100, so a report would need even more draws. The same task with 5,000 / 5,000 ended at R-hat 1.326 and ESS 5. The HB guide explains what to change.

Attribute importances

Importance is the range (best minus worst level) of an attribute's utilities, divided by the sum of all ranges, per respondent and then averaged. In the example run Price leads with 32.9 %, followed by Customer rating (26.6 %), Maximum temperature (22.0 %), Included accessories (11.2 %) and Controls (7.3 %). Importance depends on the level ranges you chose: a wider price range raises price importance.

Part-worth utilities

The Average Utilities cards show one card per attribute, switchable between Zero-centered and Diff from worst. Zero-centered utilities sum to zero within an attribute: positive means above the attribute average. Compare utilities within an attribute, not across attributes. In the example Price is categorical, so each price has its own value ($69 +82.3 down to $279 −82.3). With Price coded as Linear, the card shows one coefficient per unit instead of one value per level. The None Option card shows the utility of choosing nothing (+26.7 in the example).

Export and next steps

Step 3, Export, offers the CBC Results (Excel), the long-format estimation data, the design matrix and the Julia replication package. From there the Market Simulator turns the utilities into choice shares: see Market Simulation, Sensitivity Analysis, Willingness to Pay, Price Elasticity and Reservation Price.

17. Best Practices & Pitfalls

Do

Do not

Part II

Theoretical Background

The random utility model, the logit choice rule, and Hierarchical Bayes estimation.

18. Key Definitions

Attribute and level
An attribute is a feature that varies (Price); a level is one of its values ($139). A profile (concept) is one level per attribute.
Part-worth utility
The contribution of a level to the overall attractiveness (utility) of a profile. Estimated per respondent.
Random utility
The assumption that a respondent's utility for a profile has a systematic part (the part-worths) plus a random error, and they choose the profile with the highest total utility.
Hierarchical Bayes (HB)
An estimation method that models each respondent's utilities as drawn from a population distribution, so individual estimates borrow strength from the group.
Importance
The share of choice variation an attribute explains, computed from the range of its part-worths.
RLH (root likelihood)
Geometric mean of the predicted probabilities of the chosen alternatives; a fit measure. Chance level is one over the number of choices.

19. The Random Utility Model & Logit

CBC rests on random utility theory (McFadden, 1974). Respondent h assigns to profile j a utility that is the sum of the part-worths of its levels plus a random error:

Uhj = Xj′ βh + εhj
Utility of profile j for respondent h; Xj codes the levels, βh is the respondent's part-worths.

If the errors follow an independent extreme-value (Gumbel) distribution, the probability that respondent h chooses profile j from a set has the multinomial logit form:

P(choice = j | βh) = exp(Xj′ βh) / Σk exp(Xk′ βh)
Multinomial logit choice probability. The chosen alternative is compared against all alternatives in the set, including None when it is shown.

This is the choice likelihood that underlies every CBC-family estimator. What differs between CBC, DR-CBC, Best-Worst CBC and MaxDiff is only how observations are constructed and stacked before this same logit is applied.

20. Hierarchical Bayes Estimation

Rather than estimate one average model (aggregate logit), HB estimates individual part-worths and a population distribution that ties them together (Lenk, DeSarbo, Green, & Young, 1996; Rossi, Allenby, & McCulloch, 2005). The model has two levels:

βh ~ MVN(μ, Σ)
μ | Σ ~ MVN(0, 100 · Σ),   Σ ~ Inverse-Wishart(p + 5, 4 · V0)
Individual part-worths are drawn from a population normal. p is the number of parameters; V0 is the effects-coded prior covariance built from the Prior σ² setting (default 4.0). The mean prior is diffuse and not user-settable.

Choicery draws from the posterior with a Gibbs sampler that alternates three steps per iteration: a Metropolis-Hastings update of each respondent's βh (proposals shaped by the current covariance Σ), a Gibbs draw of the population mean μ, and a Gibbs draw of Σ from its Inverse-Wishart posterior. During burn-in the proposal step size is adapted every 100 iterations toward the target acceptance rate (default 0.3). The HB guide covers the sampler in detail.

Why HB instead of one aggregate model?

A single aggregate logit hides heterogeneity: if half the market is price-sensitive and half is not, the average looks moderately price-sensitive and describes nobody. HB recovers a price sensitivity for each person, which is what a realistic market simulation needs.

Aggregate logit: one β for everyone. HB: one β_h per respondent, drawn from MVN(μ, Σ). Simulation of a niche product only works with the individual β_h.
Convergence diagnostics

R-hat below 1.05 (good) or 1.1 (acceptable) signals that independent chains agree. Effective sample size above 100 supports point estimates; above 400 is comfortable for intervals. If either is weak, use at least two chains, inspect the acceptance rate, and reallocate burn-in versus post-burn-in draws; more burn-in is not an automatic remedy.

21. Effects Coding, Zero-Centered Diffs & Importances

Levels enter the model through effects coding. For an attribute with L levels, L minus 1 indicator columns are used and the last level is the negative sum of the others, so the part-worths of an attribute always sum to zero:

Level 1: [1, 0, ..., 0]   Level 2: [0, 1, ..., 0]   ...   Level L: [-1, -1, ..., -1]
Effects coding. The reference level is the negative sum, so Σ utilities = 0 within the attribute.

Raw utilities are on the model's logit scale and their absolute size depends on response consistency, so they are not comparable across respondents or studies. Zero-centered diffs (ZC) rescale each respondent so that the average attribute range equals 100:

ZCi = Rawi × (100 / average attribute range)
Zero-centered-diff rescaling. After this, an attribute range of 100 is "average importance".

Importance of an attribute is its utility range divided by the sum of all ranges, expressed as a percentage:

Importancea = (maxa - mina) / Σall attributes (max - min) × 100%
Attribute importance. Computed per respondent, then averaged.

Because importances are computed per respondent and then averaged, they reflect that different people weight attributes differently, which an aggregate model would miss.

22. Experimental Design

A good CBC design lets the logit separate the part-worths cleanly. Two properties matter: level balance (each level appears about equally often) and orthogonality (levels of different attributes are as uncorrelated as possible). Choicery generates designs with a balanced-overlap heuristic by default, which balances levels and level pairs and allows a moderate amount of level repetition within a task. D-optimal and random generators are also available; the random generator does not optimize. Multiple versions spread the design across respondents so no single person carries the whole burden.

Why not a full factorial?

The pizza oven task has 3 x 3 x 3 x 4 x 4 = 432 possible profiles. Showing them all is impossible, so CBC uses a fraction of them that still identifies every part-worth. The design is the reason ten tasks per respondent can estimate a model with many parameters.

23. References

Clayton, K., Horiuchi, Y., Kaufman, A. R., King, G., & Komisarchik, M. (2026). Correcting measurement error bias in conjoint survey experiments (version of July 27, 2026; American Journal of Political Science replication version). GaryKing.org/conjointE.

Goeken, N., Kurz, P., & Steiner, W. J. (2024). Multimodal preference heterogeneity in choice-based conjoint analysis: A simulation study. Journal of Business Economics, 94, 137-185.

Green, P. E., & Rao, V. R. (1971). Conjoint measurement for quantifying judgmental data. Journal of Marketing Research, 8(3), 355-363.

Green, P. E., & Srinivasan, V. (1990). Conjoint analysis in marketing: New developments with implications for research and practice. Journal of Marketing, 54(4), 3-19.

Hung, C.-Y., Kurz, P., Bailey, R. A., Huber, J., & Allenby, G. M. (2025). Re-examining the no-choice option in conjoint analysis. Journal of Choice Modelling, 57, 100578.

Hung, C.-Y., Liu, Y. M., Brazell, J. D., & Allenby, G. M. (2025). Dual response in conjoint analysis. Marketing Letters, 36, 857-873.

Lenk, P. J., DeSarbo, W. S., Green, P. E., & Young, M. R. (1996). Hierarchical Bayes conjoint analysis: Recovery of partworth heterogeneity from reduced experimental designs. Marketing Science, 15(2), 173-191.

Louviere, J. J., Hensher, D. A., & Swait, J. D. (2000). Stated choice methods: Analysis and applications. Cambridge: Cambridge University Press.

Mao, Y., Kessels, R., & Mee, R. (2025). Beyond randomization: Design and analysis of discrete choice experiments in the presence of profile order effects within choice sets. Applied Stochastic Models in Business and Industry, 41, e70043.

McFadden, D. (1974). Conditional logit analysis of qualitative choice behavior. In P. Zarembka (Ed.), Frontiers in econometrics (pp. 105-142). New York: Academic Press.

Orme, B. K. (2020). Getting started with conjoint analysis: Strategies for product design and pricing research (4th ed.). Manhattan Beach, CA: Research Publishers.

Orme, B. K., & Chrzan, K. (2017). Becoming an expert in conjoint analysis: Choice modeling for pros. Provo, UT: Sawtooth Software.

Rao, V. R. (2026). Applied conjoint analysis: From product and service design to market and pricing strategies (2nd ed.). Cham: Springer. (Chapter 16 is written by B. Orme.)

Rossi, P. E., Allenby, G. M., & McCulloch, R. (2005). Bayesian statistics and marketing. Chichester: John Wiley & Sons.

Sablotny-Wackershauser, V., Lichters, M., Guhl, D., Bengart, P., & Vogt, B. (2024). Crossing incentive alignment and adaptive designs in choice-based conjoint: A fruitful endeavor. Web Appendices.

Train, K. E. (2009). Discrete choice methods with simulation (2nd ed.). Cambridge: Cambridge University Press.