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lab-sessions-26a/session-decarb/Readme.md

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General procedure

  • Set Scale 100um -> 171 px
  • Set Measurements... bounding rectangle, display label, Decimals 4, Redirect none
  • Measure and Clear Measurements to produce a new and clear measuremens table
  • Use the Straight tool to draw a line thta fits into the decarburated area
  • Press ^+m to add the measurement into the table
  • Repeat the process at least 50 times

Example of measurements.

Tasks

  1. From microscope images get at least 50 measurements from each;
  2. Export the csv file for each collection of measurements
  3. Compute the basic descriptive statistics for each image:
    • sample size
    • mean
    • median
    • standard deviation
    • minimum
    • maximum
    • range
  4. Compute the basic descriptive statistics for the complete dataset (200 measurements)
  5. Prepare the following graphs:
    • One histogram for each image
    • Compare all histograms
    • One boxplot comparing the four zones (images)
  6. Extract the following information:
    • central tendency,
    • spread,
    • possible outliers,
    • difference among images (zones)
  7. State random variables
    • Define a random variable for the legth property
    • Define a discrete random variable, whose measurement is grater than a threshold (50um)
    • Define an indicator random variable that states:
      • I_{ij} = 1, if the measurement exceeds the threshold
      • I_{ij} = 0, otherwise
  8. Compare images, based on your statistics and plots, answer the following:
    • Which image has the largest mean?
    • Which image has the greatest variability?
    • Do all images appear similar?
    • Does one image seem to come from a different population?
  9. Your Readme.md file must include:
    • Introduction
    • Random variables background
    • Objective
    • Description of the data
    • Table of the descriptive statistics
    • Required plots and its description
    • Definition of random variables
    • Comparison of images
    • Conclusions
    • Attach the 4 csv files
  10. Your report must answer the following
    • What is the measured variable in your experiment?
    • Why can this variable be modeled as a random variable?
    • Which of your proposed variables are continuous?
    • Which of your proposed variables are discrete?
    • Which image has the highest mean value?
    • Which image has the largest dispersion?
    • What does your threshold analysis indicate?
    • What can you conclude about the variability of the measurements.