{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

analysis of variance noteshells 2

# analysis of variance noteshells 2 - Multiple-sample...

This preview shows pages 1–7. Sign up to view the full content.

1 ANOVA 1 Multiple-sample Comparisons Analysis of Variance Chapter 11 ANOVA 2 Comparing three samples A sporting goods manufacturer is testing three "dimple" design patterns to see which one yields the longest distance.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 ANOVA 3 What do dimples do? head2right Different layouts control various aspects of ball flight. head2right Some dimple designs are even banned by the USGA. ANOVA 4 The experiment head2right Ten balls of each type were going to be used in the experiment. In the first trial, two different professional golfers were to hit half the balls each in a random order. head2right It didn’t quite work out when one pulled a muscle before finishing. head2right So, a second trial used a golf-ball hitting robot.
3 ANOVA 5 GolfBallDesign.XLS Three golf ball dimple designs Asymmetric, Equal-Spaced and Oval Driven By Human Golfers Driven by Golf-Ball Hitting Robot Asymm EqSpc Oval AsymmR EqSpcR OvalR 216 217 224 221 225 231 217 218 227 222 226 233 218 222 231 222 226 235 219 224 232 223 228 237 223 229 236 224 229 237 225 235 241 224 231 238 234 237 245 225 232 238 236 239 247 226 233 239 237 240 248 229 233 244 249 232 233 245 ANOVA 6 Average distance travelled 1. Averages about the same in both trials. 2. “Oval” looks best, but we don’t know what difference is significant. 3. For that, we also need to consider the variation within each type of ball. Design Golfers Machine Asymmetric 225.0 224.8 EquiSpace 229.0 229.6 Oval 238.0 237.7

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 ANOVA 7 Balls Driven By Human Golfers Asymm EqSpc Oval 210 215 220 225 230 235 240 245 250 255 260 Balls driven by golfers Lots of overlap ANOVA 8 Balls Driven By Golf-Ball Hitting Robot AsymmR EqSpcR OvalR 210 215 220 225 230 235 240 245 250 255 260 Balls driven by machine Much Less Overlap
5 ANOVA 9 All together for comparison Both Data Sets Together Asymm EqSpc Oval AsymmR EqSpcR OvalR 210 215 220 225 230 235 240 245 250 255 260 Less variation with machine-driven balls ANOVA 10 Two samples: what’s significant? For significance, we need to have either T CALC > +2 or T CALC < -2. If we square the whole thing, 4 or more shows significance. + - = 2 1 2 2 1 1 1 n n s X X T p CALC

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
6 ANOVA 11 A new procedure head2right How do we compare 3 means to each other to look for differences? head2right We can generalize the denominator (compute S p across more groups).
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern