Mean, median, mode, range, and outliers
Michael wants to know if squirrels in Cleveland or squirrels in Buffalo eat more acorns.
Independent t-test. It can be safely assumed that the squirrels in Cleveland are not the same as the squirrels in Buffalo
Ann wants to know which set of faculty drinks the most coffee and on which days of the week. She compares the Psychology faculty, the Engineering faculty and the Business faculty on Mondays, Wednesdays, Thursdays, Fridays and Saturdays.
Factorial ANOVA with the department as the independent and the days of the week as repeated.
Tami wants to know the association between the amount of trash a neighbor produces and the number of times that they mow the lawn.
Correlation
Find the mean of the following data set: 5, 6, 7, 4, 3
What is the Mean is: 1.2
Ash wants to know which day of the week the customers mail more letters, Monday or Friday?
repeated t-test. The customers are the same on Monday and on Friday.
Franklin compares the grocery store prices for ground beef. He goes to Aldi, Tops, and Giant Eagle stores in the Erie area.
One Way between ANOVA
Paul wants to predict if his new neighbor likes pizza by the number of pizza boxes, the number of cars that deliver pizza, and the number of friends that the person has visiting
Regression
The number of points Maggie has scored in each of the first 5 games of the basketball season are 14, 17, 17, 13, and 34. What is the mean for the number of points for Maggie's first 5 games?
What is 6.
Beth wants to know if she drinks more coffee than all of the other people her age.
single sample t-test. Comparing Beth to a population.
How would you write the following results in APA format? ANOVA = 3.42, degrees of freedom within = 16, significance = .07, degrees of freedom between = 2
F (2, 16) = 3.42, p = .07
Amber has found a skunk in her yard and wants to know if there is an association between the number of flowers she plants and the number of times the skunk visits.
correlation
There are 7 animal shelters in the local area. The number of cats in each is 4, 6, 3, 7, 4, 5, and 20. What is the mean for the number of cats in shelters to the nearest tenth?
What is 3.7.
Noreen, Paul and Amanda are neighbors. They want to know which month their houses produce more trash: December 26th or November 1.
repeated measures ttest. The houses are the same.
In this factorial ANOVA, how many F values would you expect?
Jan tests the effect of type of five different types of shampoo on curly hair, straight hair, and thinning hair while using either hot or warm water.
1. main effect of shampoo
2. main effect of hair type
3. main effect of water temperature
4. interaction between shampoo and hair type
5. interaction between hair type and water temperature
6. interaction between water temperature and shampoo
7. interaction between water temperature, shampoo, and hair type
Jon wanted to know which vegetables did better in his garden this year. He found this regression result. R2 = .95, beta tomatoes = -.90, beta for carrots = .60. Which vegetable did better?
Carrots
Find the mean, round to the nearest tenth. 23, 37, 33, 39, 29, and 31
What is 4.3
There is a rivalry between the citizens of Harbor Creek and the citizens of Wesleyville. Harbor Creek wants to compare the number of hockey, baseball, basketball and soccer games they have won over the past 10 years to the number of games that Wesleyville has won.
Independent ttest. Harbor Creek and Wesleyville are two separate places.
Gail tests the effect of three types of lighting on how fast a person reads. She finds an ANOVA result of 3.56 with a within degrees of freedom of 12 and a significance level of .03. Write this in APA format.
F (2, 12) = 3.56, p = .03
Frank discovered that there was a negative relationship between grades and chocolate, a positive relationship between grades and the number of socks a person owned and a positive relationship between grades and the number of notebooks a person owned. He also found that the model accounted for 54% of the variance. Write up his result using hypothetical numbers.
R2 = .54; beta chocolate = -.23; beta socks = .34; beta notebooks = .56
(varies but R2 is the same).