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@ -8,3 +8,57 @@
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- Repeat the process at least 50 times
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- Repeat the process at least 50 times
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# Tasks
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1. From microscope images get at least 50 measurements from each;
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2. Export the `csv` file for each collection of measurements
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3. Compute the basic descriptive statistics for each image:
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- sample size
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- mean
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- median
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- standard deviation
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- minimum
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- maximum
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- range
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4. Compute the basic descriptive statistics for the complete dataset (200 measurements)
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5. Prepare the following graphs:
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- One histogram for each image
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- Compare all histograms
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- One boxplot comparing the four zones (images)
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6. Extract the following information:
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- central tendency,
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- spread,
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- possible outliers,
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- difference among images (zones)
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7. State random variables
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- Define a random variable for the legth property
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- Define a discrete random variable, whose measurement is grater than a threshold (50um)
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- Define an indicator random variable that states:
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- $I_{ij} = 1$, if the measurement exceeds the threshold
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- $I_{ij} = 0$, otherwise
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8. Compare images, based on your statistics and plots, answer the following:
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- Which image has the largest mean?
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- Which image has the greatest variability?
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- Do all images appear similar?
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- Does one image seem to come from a different population?
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9. Your `Readme.md` file must include:
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- Introduction
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- Random variables background
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- Objective
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- Description of the data
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- Table of the descriptive statistics
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- Required plots and its description
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- Definition of random variables
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- Comparison of images
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- Conclusions
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- Attach the 4 `csv` files
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10. Your report must answer the following
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- What is the measured variable in your experiment?
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- Why can this variable be modeled as a random variable?
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- Which of your proposed variables are continuous?
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- Which of your proposed variables are discrete?
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- Which image has the highest mean value?
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- Which image has the largest dispersion?
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- What does your threshold analysis indicate?
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- What can you conclude about the variability of the measurements.
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