Discriminant Analysis in R

Discriminant Analysis in R, Sensory discrimination tests are essential tools in food science, product development, and consumer research.

Whether you’re comparing flavors, textures, or aromas, discriminant analysis in R helps determine if a perceptible difference exists between samples.

This guide walks you through the most popular sensory protocols and how to implement them using R.

🧪 What Is Sensory Discrimination Analysis?

Sensory discrimination analysis aims to answer a simple but powerful question: Can people detect a meaningful difference between two or more products?

Using structured tests and statistical models, researchers can quantify sensory differences and validate product changes with confidence.

📊 Discrimination Test Methods in R

Each method below uses the discrim() function in R to calculate scores and p-values. Here’s how they work:

1️⃣ Triangle Test

  • Setup: Panelists receive three samples—two identical, one different.
  • Goal: Identify the odd one out.
  • R Code:rdiscrim(10, 15, method = "triangle", statistic = "score", conf.level = 0.90)

2️⃣ Duo-Trio Test

  • Setup: One reference sample and two coded samples.
  • Goal: Match the coded sample to the reference.
  • Ideal Panel Size: 32+ for reliable results.
  • R Code:rdiscrim(10, 15, method = "duotrio", statistic = "score", conf.level = 0.90)

3️⃣ Tetrad Test

  • Setup: Four samples—two from each product.
  • Goal: Group samples by similarity.
  • Advantage: Requires fewer panelists.
  • R Code:rdiscrim(10, 15, method = "tetrad", statistic = "score", conf.level = 0.90)

4️⃣ Two-Out-of-Five Test

  • Setup: Five samples—three alike, two alike.
  • Goal: Identify the pair.
  • R Code:rdiscrim(10, 15, method = "twofive", statistic = "score", conf.level = 0.90)

5️⃣ 2-AFC (Two-Alternative Forced Choice)

  • Setup: Two samples presented.
  • Goal: Choose the one with higher intensity of a specific attribute.
  • R Code:rdiscrim(10, 15, method = "twoAFC", statistic = "score", conf.level = 0.90)

6️⃣ 3-AFC (Three-Alternative Forced Choice)

  • Setup: Three samples—two similar, one different.
  • Goal: Identify the sample with the highest intensity.
  • R Code:rdiscrim(10, 15, method = "threAFC", statistic = "score", conf.level = 0.90)

📈 Why Use R for Sensory Analysis?

R offers:

  • Precision: Accurate p-value and confidence interval calculations.
  • Flexibility: Multiple test protocols in one function.
  • Reproducibility: Scripted workflows for consistent results.

🧠 Final Thoughts

Whether you’re testing chocolate flavors, shampoo textures, or perfume notes, discriminant analysis in R empowers you to make data-driven decisions.

Choose the right sensory protocol, run your analysis, and interpret results with confidence.

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