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Statistics Lab Session with GSI Yizao Wang

Join GSI Yizao Wang in this interactive statistics lab session covering data visualization, summary measures, and comparison methods. Learn key statistical concepts and tools.

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Statistics Lab Session with GSI Yizao Wang

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  1. Stat 350 Lab SessionGSI: Yizao WangSection 016 Mon 2pm30-4pm MH 444-DSection 043 Wed 2pm30-4pm MH 444-B

  2. Outline • Introduction • Syllabus • A brief review • Module1: Activity1,2 • Module2: Activity2

  3. Something about me • My name: Yizao Wang • My brief CV:Originally from BeijingHaving been studying in Paris during the last three yearsNow a first year graduate student in Department of Statistics • I play Go when I have time… (do you know where is the Umich Go club?)

  4. Introduce yourself • What is your name? • Where are you from? • What is your major? • Which year are you in?

  5. Syllabus Any questions?

  6. What is statistics… Data | Analysis | Inference/conclusion

  7. Let’s start with data When we are collecting (sampling) data… • How many types of variables are there? • What are they?

  8. Let’s start with data When we are collecting (sampling) data… • How many types of variables are there?2 • What are they? Categorical variablesQuantitative/numerical variables

  9. Some big ideas • Different types of data lead to different statistical methods, numerical summaries and plots. • Histograms: the (shape of ) distribution of a quantitative response • Boxplots: picture of 5 number summarymost useful for comparing 2+ sets of data

  10. Module 1: Activity 1visualizing and exploring a data set • Start up SPSS and open the employee data set • What type of variable is gender? • What type of graphs would be good to make for this variable? • What type is current salary? • What type of graphs for it?

  11. Module 1: Activity 1visualizing and exploring a data set • Start up SPSS and open the employee data set • What type of variable is gender? Categorical • What type of graphs would be good to make for this variable? Bar graphs • What type is current salary? Quantitative • What type of graphs for it? Histogram

  12. Module 1: Activity 1visualizing and exploring a data set • Let’s make a histogram of current salary • Don’t forget the title! • What shape do we see for the distribution of salary? • Change the color

  13. Module 1: Activity 1visualizing and exploring a data set • Let’s make a histogram of current salary • Don’t forget the title! • What shape do we see for the distribution of salary?Skew to the right • Change the color

  14. Module 1: Activity 1visualizing and exploring a data set • Basic summary measures for current salary • Get five number summary • Save output

  15. Module1: Activity 2The Mean and the Median • Open the applethttp://www.ruf.rice.edu/%7Elane/stat_sim/descriptive/index.html • Produce a positive skew and a negative skew, and compare the relationship between the mean and the median • Try different shapes of distribution, compare their standard deviations. Comment?Toy question: with N=10, give the distribution with largest/smallest standard deviation

  16. Module1: Activity 2The Mean and the Median • In a symmetric distribution, the mean and the median are equal. • With positive skewed distributions, the mean is generally larger than the median. • With negative skewed distributions, the mean is generally smaller than the median. • In a skewed distribution, which is a good measure the center of a distribution?

  17. Module1: Activity 2The Mean and the Median • In a symmetric distribution, the mean and the median are equal. • With positive skewed distributions, the mean is generally larger than the median. • With negative skewed distributions, the mean is generally smaller than the median. • In a skewed distribution, which is a good measure the center of a distribution? Median

  18. Module1: Activity 2The Mean and the Median • Standard deviation:On average, salaries are expected to fall approximately ___$ from the mean salary of ___$.On average, salaries vary by about ___$ from the mean salary of ___$.

  19. Module2: Activity 1How do genders compare on SSHA scores • Background: Survey of Study Habits and Attitudes of college freshmen. It is known that scores on the SSHA may explain success in college. Data of both females and males is collected. • Use side-by-side boxplots to examine (compare) the distribution of the scores by gender.

  20. Module2: Activity 1How do genders compare on SSHA scores • Produce a side-by-side boxplot Add a title • Which gender had the lowest score? • Which had the highest score? • Which gender had the lowest median score? • How to compare the variability? • Can you tell the shape from boxplot?

  21. Module2: Activity 1How do genders compare on SSHA scores • Produce a side-by-side boxplot Add a title • Which gender had the lowest score? Male • Which had the highest score? Female • Which gender had the lowest median score?Male • How to compare the variability? IQRs • Can you tell the shape from boxplot? No!

  22. Module2: Activity 1How do genders compare on SSHA scores • Split file and make histograms (organize output by groups) • (Get descriptive summaries using frequencies option)

  23. Review of lab 1 • What does statistics do? • Categorical variables and numerical variables • Using plots to visualize data • Histogram to see the distribution • Standard deviation and shape of distribution • Boxplot with 5 number summary • Are you able to do HW1 with SPSS?

  24. Before we finish today… • Comments on today’s lab? • Qwizdom system • Survey to complete

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