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LogMAR chart

LogMAR chart is a science 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 LogMAR chart rather than just read about it. In short: A logMAR chart is a chart consisting of rows of letters that is used by ophthalmologists, orthoptists, optometrists, and vision scientists to estimate visual acuity. The name of the chart is an abbreviation for "logarithm of the Minimum Angle of Resolution".

LogMAR chart — main illustration
LogMAR chart — illustration

Key takeaways

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

Reference excerpt

A logMAR chart is a chart consisting of rows of letters that is used by ophthalmologists, orthoptists, optometrists, and vision scientists to estimate visual acuity. The name of the chart is an abbreviation for "logarithm of the Minimum Angle of Resolution". The chart was developed at the National Vision Research Institute of Australia in 1976, and is designed to enable a more accurate estimate of acuity than do other charts (e.g., the Snellen chart). For this reason, the LogMAR chart is recommended, particularly in a research setting. When using a LogMAR chart, visual acuity is scored with reference to the logarithm of the minimum angle of resolution, as the chart's name suggests. An observer who can resolve details as small as 1 minute of visual angle scores LogMAR 0, since the base-10 logarithm of 1 is 0; an observer who can resolve details as small as 2 minutes of visual angle (i.e., reduced acuity) scores LogMAR 0.3, since the base-10 logarithm of 2 is near-approximately 0.3; and so on. Specific types of logMAR chart include the original Bailey-Lovie chart, as well as the ETDRS charts, developed for the Early Treatment Diabetic Retinopathy Study.

History The chart was designed by Ian Bailey and Jan E. Lovie-Kitchin at the National Vision Research Institute of Australia. They described their motivation for designing the LogMAR chart as follows: "We have designed a series of near vision charts in which the typeface, size progression, size range, number of words per row and spacings were chosen in an endeavour to achieve a standardization of the test task."

Relation to the Snellen chart

The Snellen chart, which dates back to 1862, is also commonly used to estimate visual acuity. A Snellen score of 6/6 (20/20), indicating that an observer can resolve details as small as 1 minute of visual angle, corresponds to a LogMAR of 0 (since the base-10 logarithm of 1 is 0); a Snellen score of 6/12 (20/40), indicating an observer can resolve details as small as 2 minutes of visual angle, corresponds to a LogMAR of 0.3 (since the base-10 logarithm of 2 is near-approximately 0.3), and so on.

Recording visual acuity using the LogMAR chart

Each letter has a score value of 0.02 log units. Since there are 5 letters per line, the total score for a line on the LogMAR chart represents a change of 0.1 log units. The formula used in calculating the score is:

LogMAR VA = LogMAR value of the best line read − 0.02 × number of optotypes read Given that each line has 5 optotypes, the equivalent formula is:

LogMAR VA = LogMAR value of the partially read line+ 0.02 × number of optotypes missed

Advantages of LogMAR over other charts The LogMAR chart is designed to enable more accurate estimates of acuity as compared to other acuity charts (e.g., the Snellen chart). Each line of the LogMAR chart comprises the same number of test letters (effectively standardizing the test across letter size); the letter size change from one line to the next is a constant ratio, as is the spacing between lines (making the chart easy to use at nonstandard viewing distances). In ETDRS charts, the Sloan letters are used (Sloan letters are perfectly square approximately equally legible one from another), while the Bailey–Lovie chart used rectangular (5:4) letters based on the Transport typeface, as set out in British Standard 4274:1968. Zero LogMAR indicates standard vision, positive values indicates poor vision, and negative values indicates good vision. This is less intuitive than other VA notations. However, LogMAR is actually a notation of vision loss.

Low vision and blindness definition with LogMAR The World Health Organization established criteria for low vision using the LogMAR scale. Low vision is defined as a best-corrected visual acuity worse than 0.5 LogMAR but equal or better than 1.3 LogMAR in the better eye. Blindness is defined as a best-corrected visual acuity worse than 1.3 LogMAR.

References

External links

National Vision Research Institute of Australia Logarithmic SLOAN Visual Acuity Test

Illustrations

LogMAR chart illustration
LogMAR chart: Snellen chart
Snellen chart

Worked examples

Example 1 — a first encounter with LogMAR chart

Start with the simplest possible case. Write down what LogMAR chart claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 LogMAR chart 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 LogMAR chart 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 LogMAR chart

In research
LogMAR chart appears in science 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 LogMAR chart 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
LogMAR chart is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1976 introductions, Australian inventions, Charts, so understanding it makes those chapters shorter.
In everyday life
Look for LogMAR chart 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 LogMAR chart in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what LogMAR chart 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 LogMAR chart out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is LogMAR chart in simple terms?

A logMAR chart is a chart consisting of rows of letters that is used by ophthalmologists, orthoptists, optometrists, and vision scientists to estimate visual acuity. The name of the chart is an abbreviation for "logarithm of the Minimum Angle of Resolution".

Why does LogMAR chart matter?

Because it connects several science 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 LogMAR chart?

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 LogMAR chart.

Tags

  • 1976 introductions
  • Australian inventions
  • Charts
  • Diagnostic ophthalmology
  • Optotypes

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