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Health Utilities Index

Health Utilities Index is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Health Utilities Index rather than just read about it. In short: The Health Utilities Index (HUI) is a rating scale used to measure general health status and health-related quality of life (HRQoL). HUI questionnaires are designed to map onto two classification systems, HUI-2 and HUI-3, capable of measuring 24,000 and 972,000 unique health states, respectively.

Key takeaways

  • Health Utilities Index belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Health Utilities Index to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Health Utilities Index from memory before moving on to harder problems.

Reference excerpt

The Health Utilities Index (HUI) is a rating scale used to measure general health status and health-related quality of life (HRQoL). HUI questionnaires are designed to map onto two classification systems, HUI-2 and HUI-3, capable of measuring 24,000 and 972,000 unique health states, respectively. HUI classifications measure a range of health domains with examples including sensation, mobility, pain, cognition, ambulation, and emotion. Health utility values are commonly produced using HUI as a component of the quality-adjusted life years (QALY) calculation used in population health and economics.

Development Originally developed by McMaster University in Canada, HUI has subsequently evolved and been adapted by Health Utilities Inc. The purpose of developing HUI was to create a standardized classification system using preference-based scoring. HUI was modeled using multi-attribute utility theory to assess a participants overall health-related quality of life. HUI was first used to evaluate HRQoL in very-low birth weight infants and adolescent cancer morbidity and has since been taken by thousands of respondents from hundreds of researchers. The attribute categories were decided upon after consulting the general public to rank their order of importance. Using Von Neumann-Morganstern utility theorem to measure a participants health status, health state responses for each attribute are converted to a standardized health utility value which is discussed in detail below. HUI-2 and HUI-3 questionnaires are proprietary and available for use from Health Utilities Inc. website. There is a licensing fee to use the questionnaire and generally costs $3,000 for a single research project use. Included in the license is a manual describing how to convert survey responses into attribute levels.

Scale classification systems

HUI-2 HUI-2 classification system consists of 7 attributes including sensation, mobility, emotion, cognition, self-care, pain and fertility. Fertility is not currently used in the HUI-2 questionnaire, but was included historically to account for the effects of infertility on health-related quality of life. Participants answering each attribute chooses one of three to five response items. HUI-2 is capable of identifying 24,000 unique health states. A level 1 response indicates no difficulty or interference while the highest level in each of the attributes corresponds to the lowest possible quality of life. The following table shows the number of health state levels for each attribute:

HUI-3 HUI-3 classification system consists of 8 attributes including vision, hearing, speech, ambulation, dexterity, emotion, cognition, and pain. These attributes range from five or six levels of health states for each attribute. HUI-3 is capable of identifying 972,000 unique health states. Consistent with HUI-2, a level 1 response indicates the best possible health state for a given attribute while the highest level indicates the worst possible health state. The following table show the number of health state levels for each attribute:

Differences between HUI-2 and HUI-3 The HUI-3 was created to update the HUI-2 response categories after some of the attribute response items were criticized for not having application to the general population studies. For example, the HUI-2 emotion attribute focuses on distress and anxiety while HUI-3 emotion focuses on happiness compared to depression. The HUI-2 pain attribute is primarily concerned with the severity of pain whereas HUI-3 is concerned with frequency and control of pain. Cognition in HUI-2 focuses on learning while HUI-3 focuses on problem-solving ability of participants. In addition, sensation in the HUI-2 was broken down into vision, hearing, and speech for HUI-3 update.

Scoring A health state identification can be established for each of the possible health states in the HUI-2 and HUI-3. A unique health state is described as a sequence of numbers based on the level selected for each attribute. In HUI-2, perfect health is described as a sequence of seven ones in a row (i.e., 1111111). HUI health state levels are converted to health utilities using either single-attributes and multi-attributes. Each defined health state level are assigned a health utility value and used in the formula described below. The utility values are determined using time-trade-off methods which determine preferences for particular health states. In HUI, utility values range from −0.03 and −0.36 for the HUI-2 and HUI-3, respectively, to 1.00. A health utility value of 1.00 indicates perfect health while a score of 0.00 indicates death. Negative values account for the fact that some health states are identified by the general public as being worse than death. To calculate a health utility score, health states for each response are converted using a look-up table and mathematical formula. Each attribute and level has a corresponding coefficient value to be input into the formula to calculate health utility.

HUI-2 The multi-attribute coefficients for converting

Each of these coefficients would be entered into the following formula to yield a general health utility:

U = 1.06 ( S e n s a t i o n ∗ M o b i l i t y ∗ E m o t i o n ∗ C o g n i t i o n ∗ S e l f − C a r e ∗ P a i n ∗ F e r t i l i t y ) − 0.06 {\displaystyle U=1.06(Sensation*Mobility*Emotion*Cognition*Self-Care*Pain*Fertility)-0.06}

HUI-3 For single attribute utility scores in HUI-3, a table published on the Health Utilities Inc. website provides the corresponding health utility score. For multi-attribute utility functions, a separate table is used that accounts for an overall health utility based on each of the eight attributes in HUI-3. The following table provides the associated coefficients used in the health utility formula:

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Health Utilities Index

Start with the simplest possible case. Write down what Health Utilities Index claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Health Utilities Index before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Health Utilities Index ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Health Utilities Index

In research
Health Utilities Index appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Health Utilities Index in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Health Utilities Index is common in secondary-school and first-year university syllabi. It links to neighbouring topics Health economics, Index numbers, Public health research, so understanding it makes those chapters shorter.
In everyday life
Look for Health Utilities Index outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Health Utilities Index in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Health Utilities Index means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Health Utilities Index out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Health Utilities Index in simple terms?

The Health Utilities Index (HUI) is a rating scale used to measure general health status and health-related quality of life (HRQoL). HUI questionnaires are designed to map onto two classification systems, HUI-2 and HUI-3, capable of measuring 24,000 and 972,000 unique health states, respectively.

Why does Health Utilities Index matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Health Utilities Index?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Health Utilities Index.

Tags

  • Health economics
  • Index numbers
  • Public health research
  • Quality of life

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