Department of Statistics



ST 370 Project (THIS ONE DID ANOVA AND REGRESSION)

1. Names:

Mickey Mouse (005)

Donald Duck (002)

2. Title and Brief description of experiment:

Title: Foam Disc Launcher Experiment

Description: We have a motorized Foam Disc Launcher that we plan on measuring the total distance traveled of the shot foam discs. We are going to vary the angle of the launcher and the weight of the foam disc.

3. The response variable is Distance Traveled and is measured in units of Inches

4. Factors:

Factor 1 is: Angle

Its levels are: 0 degrees, 15 degrees, 30 degrees, 45 degrees

Factor 2 is: Weight of Disc

The levels are: Regular Disc (.4 grams), .75 disc (.3 grams), 1.5 disc (.6 grams)

|  |  |  |Factor 1: Angle (Degrees) |

|  |  |0 deg |15 deg |30 deg |45 deg |

|Factor 2: |0.3 g |3,1,8 |7,5,9 |5,9,1 |5,3,7 |

|Weight (g) |0.4 g |7,2,4 |1,6,4 |4,7,3 |8,2,1 |

|  |0.6 g |9,6,5 |2,3,8 |8,2,6 |4,9,6 |

NOTE: BLOCKING ON FACTOR 2 WEIGHT OF DISK, So doing sample(9) for each row

5. How will randomization and replication be used?

We randomly selected the order of procedure for the different weights of disc for each angle factor using the Random Numbers table in Appendix A of the Modern Engineering Statistics book. We are going to shoot each weighted disc at each specified angle three times for replication.

6. How will you analyze the data?

We are analyzing both factors of angle and weight together but blocking on angle. After recording the data, it will be analyzed in one ANOVA table with both factors together

lm model dist=angle+weight+angle*weight

We will also do a regression on the data (lm with quantitative explanatory variables) and plot our data in graphs of mfit, mplot, boxplots and run stats on the information with models

lm model dist=angle+weight+angle*weight + angle^2 + weight^2

and

lm model log(dist)=angle+weight+angle*weight + angle^2 + weight^2

From this analysis we will explain which factor has the greater affect on the distance traveled of the foam discs.

7. Briefly what do you expect to happen?

We believe the 0.4 gram discs shot from a 15 degree angle will travel the greatest distance because these discs were designed to be shot from the launcher. We expect the 0.3 gram discs shot at a 45 degree angle will travel the least distance.

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