lab-sessions-26a/session-decarb

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

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.