Are you game? Timothy Kariger and Taylor Young Coin Slide

The procedure Participants slide coins across a desk, trying to get the coin to stop in a goal zone marked by tape. Categories of data we recorded are: finger used to slide coin, gender, preferred coin, and number of coins landed

Quantitative data Mean Min-4 Q1- 12 Median- 23 Max- 29 Roughly uni model Roughly symmetric

Normal model? Normal probability plot is linear Number of coins landed follows a normal distribution

Quantitative vs gender 22 girls total 17 boys total Mean coins landed Girls Boys Median for girls: 19.5 Median for boys:16 Quartiles for genders- Girls- Q1=11, Q3=23 Boys-Q1=12, Q3=23 Min and max (range) Girls- 6,26(20) Boys- 4, 29(25)

Finger used vs. Amount of coins landed Highest number of coins landed: coins were landed in two different trials Both a pointer finger and a middle finger landed 29 coins More people used pointer fingers (31 to 8) Median number of coins landed: Middle- 18 Pointer- 19 Mean number of coins landed: Middle Pointer-17.39

Quantities data by partner Under Tim mean coins landed= Median coins landed=16 Min=4 max= 29 Quartiles- Q1= 11, Q3= 23 Under Taylor Mean coins landed=17.7 Median coins landed=19.5 Min= 7 max= 29 Quartiles- Q1= 13, Q3=22.5

Overall Categorical data

Marginal's 56.4% tested were female 43.5% tested were male % of preferred Dimes Nickels Pennies Quarters- 64.1

Conditionals Percent of females that preferred: Dimes Nickels Pennies- 4.5 Quarters Percent of males that preferred: Dimes- 0 Nickels- 5.9 Pennies-17.6 Quarters- 76.5

Conditionals % of dimes preferred by: Females- 100 Males- 0 % of nickels preferred by: Females Males %of pennies preferred by: Females-25 Males-75 %of quarters preferred by: Females- 48 Males- 52

Independence between gender and preferred coin? Conditions for Chi squared test for independence were not met 2 Expected counts were not greater than 5 If Marginal of Gender=conditional of coins, then the two are independent But because the percentages of the conditionals are not similar, the two have some dependence.

Conclusion Females were more consistent Tim was a harder judge, the mean and median of his scores were lower Quarters were most popular coin Gender affects preferred coin Lurking Variables- Coins displayed to participants may not have been evenly distributed Harshness of judge could affect number of coins landed