diff --git a/session-decarb/Readme.md b/session-decarb/Readme.md index 3cf20e2..cc97437 100644 --- a/session-decarb/Readme.md +++ b/session-decarb/Readme.md @@ -8,3 +8,57 @@ - Repeat the process at least 50 times ![Example of measurements.](measurements-example.jpg) + +# 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.